# cfleck

Brent@GMATPrepNow posted a reply to How many integers between 324,700 and 458,600 have tens in the Problem Solving forum
“We want to determine how many integers end in 13 For example, 324713, 324813, 324913, 325013, . . . etc. Recognize that, for every 100 consecutive integers, only 1 will end in 13. There are 133,900 integers between 324,700 and 458,600 (since 458,600 - 324,700 = 133,900) Of those 133,900 ...”
Today
Brent@GMATPrepNow posted a reply to The quadrilateral ABCD is a square with sides of length 12. in the Problem Solving forum
“This question could take a while to answer (especially if you don''t know where to begin! :-). Fortunately, we can take advantage of an IMPORTANT feature about geometric diagrams on the GMAT: The diagrams in GMAT problem solving questions are DRAWN TO SCALE unless stated otherwise. We have ...”
Today
Brent@GMATPrepNow posted a reply to A palindrome is a number that reads the same forward and in the Problem Solving forum
“Take the task of building palindromes and break it into stages. Stage 1: Select the ten-thousands digit We can choose 1, 2, or 3 So, we can complete stage 1 in 3 ways Stage 2: Select the thousands digit We can choose 1, 2, or 3 So, we can complete stage 2 in 3 ways Stage 3: Select ...”
Today
Brent@GMATPrepNow posted a reply to This year, a woman has a lucrative one-year position. During in the Problem Solving forum
“Let T = the woman''s total salary for the year During this year, she will give a fraction f of her salary to her husband, a private investor, to invest and they will live this year on the remainder. So, the amount SAVED (and then given to huspand)= fT This means the amount SPENT = T - fT ...”
Today
Brent@GMATPrepNow posted a reply to A frog is climbing a greasy pole. The frog can climb 2 in the Problem Solving forum
“Let''s solve this by making table Time elapsed | height 1 hours | 4 cm 2 hours | 8 cm REST (slide) 2.5 hours | 7 cm 3.5 hours | 11 cm 4.5 hours | 15 cm REST (slide) 5 hours | 14 cm 6 hours | 18 cm 7 hours | 22 cm REST (slide) 7.5 hours | 21 cm 8.5 hours | 25 cm 9.5 hours | 29 cm ...”
Today
Brent@GMATPrepNow posted a reply to Oil, vinegar, and water are mixed in a 3 to 2 to 1 ratio to in the Problem Solving forum
“GIVEN: oil: vinegar : water = 3 : 2 : 1 Let''s first try to use ALL 8 cups of oil Take 3 : 2 : 1 and multiply all 3 parts by 8/3 to get the EQUIVALENT ratio 8 : 16/3 : 8/3 Simplify to get: 8 : 5 1/3 : 2 2/3 So, in this case, the dressing is comprised of 8 cups of oil, 5 1/3 cups of vinegar, ...”
Yesterday
Brent@GMATPrepNow posted a reply to Line DB divides Rectangle ABCD into two equal triangles. Is in the Data Sufficiency forum
“IF all 4 sides of the rectangle have EQUAL length (i.e,, the shape is a square), then the diagonal will create two 45-45-90 right triangles. However, if the sides are not all the same length, the resulting triangles will NOT be 45-45-90 right triangles. Cheers, Brent”
Yesterday
Brent@GMATPrepNow posted a reply to A father distributed his total wealth to his two sons. How in the Data Sufficiency forum
“ Given: A father distributed his total wealth to his two sons. Target question: How much wealth did the father have? Statement 1: The elder son received 3/5 of the wealth. Without any dollar values, there''s no way to answer the target question with certainty. So, statement 1 is NOT ...”
Yesterday
Brent@GMATPrepNow posted a reply to At what speed was Erik running when he was at the halfway po in the Data Sufficiency forum
“IMPORTANT: The two statements essentially provide the exact same information. If it took Erik 2 hours to travel 10 miles, we can conclude that his average speed was 5 miles per hour. When the two statements provide the same information in a Data Sufficiency question, the correct answer must be ...”
Yesterday
Brent@GMATPrepNow posted a reply to [x] is the greatest integer less than or equal to x. What is in the Data Sufficiency forum
“Here are a few similar questions to practice with: - https://www.beatthegmat.com/if-is-the-greatest-integer-less-than-or-equal-to-x-what-t302459.html - https://www.beatthegmat.com/g-x-is-the-greatest-integer-less-than-or-equal-to-x-t298237.html - ...”
Yesterday
Rich.C@EMPOWERgmat.com posted a reply to Test day in the GMAT Strategy forum
“Hi Esteban, The Program has a searchable database, so you don''t have to memorize any codes for the Schools that you want to send your Official GMAT Score to. Is your Official Test Date coming up (and when are you scheduled to take the Test?)? GMAT assassins aren''t born, they''re made, Rich”
Yesterday
Rich.C@EMPOWERgmat.com posted a reply to When 6 is multiplied by x, the result is the same as when x in the Problem Solving forum
“Hi All, We''re told that when 6 is multiplied by X, the result is the SAME as when X is added to 9. We''re asked for the value of X/3. When dealing with GMAT questions, it''s important to make sure that you answer the question that is ASKED. Here, we''re NOT asked for the value of X, we''re ...”
December 9, 2018
Brent@GMATPrepNow posted a reply to When 6 is multiplied by x, the result is the same as when x in the Problem Solving forum
“When 6 is multiplied by x, the result is the same as when x is added to 9 In other words: 6x = 9 + x Subtract x from both sides: 5x = 9 Divide both sides by 5 to get: x = 9/5 Answer: E Cheers, Brent”
December 9, 2018
Brent@GMATPrepNow posted a reply to Three photographers, Lisa, Mike and Norm, take photos of a w in the Problem Solving forum
“We can also solve the question using 1 variable Norms photos number 10 more than twice the number of Lisa''s photos Let x = the number of photographs that Lisa took. So, 2x + 10 = the number of photographs that Norm took. The total of Lisa and Mikes photos is 50 less than the sum of ...”
December 9, 2018
Brent@GMATPrepNow posted a reply to At a certain factory, each employee working the second shift in the Problem Solving forum
“Let''s assign a "nice" value to the number of widgets made by ONE employee. We''ll also assign a nice value to the number of employees on each shift. At a certain factory, each employee working the SECOND shift produced 2/3 as many widgets as each employee working the FIRST shift. ...”
December 9, 2018
Brent@GMATPrepNow posted a reply to If two of the four expressions x+y, x+5y, x-y, and 5x-y are in the Problem Solving forum
“Okay, first recognize that x² - (by)² is a DIFFERENCE OF SQUARES. Here are some examples of differences of squares: x² - 25y² 4x² - 9y² 49m² - 100k² In general, we can factor differences of squares as follows: a² - b² = (a-b)(a+b) So . . . x² - 25y² = (x+5y)(x-5y) 4x² - ...”
December 8, 2018
Brent@GMATPrepNow posted a new topic called CHALLENGE: What is the value of k? in the Data Sufficiency forum
“What is the value of k? $$(1) k^2-5k-66=0$$ $$(2) \frac{2k}{k^2+5k}=\frac{1}{8}$$ Source: www.gmatprepnow.com Answer: B Estimated difficulty level: 600-650”
December 7, 2018
Brent@GMATPrepNow posted a reply to Circle question help in the Problem Solving forum
“We''ll begin by arbitrarily placing point A somewhere on the circumference. https://i.imgur.com/hRHtq4o.png So, we want to know the probability that a randomly-placed point B will yield a chord AB that is at least 2 cm long. So, let''s first find a location for point B that creates a chord ...”
December 7, 2018
Brent@GMATPrepNow posted a reply to Let C be defined as the sum of all prime numbers between in the Problem Solving forum
“C = 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 = 129 So, C/3 = 129/3 = 43 Answer: E Cheers, Brent”
December 7, 2018
Brent@GMATPrepNow posted a reply to 2k years ago Frank was 3k years old. In k years Frank's age, in the Problem Solving forum
“These kinds of questions (Variables in the Answer Choices - VIACs) can be answered algebraically or using the input-output approach. Mitch has solved the question using the input-output approach, so let''s use the algebraic approach. 2k years ago Frank was 3k years old. We''re given Frank''s ...”
December 7, 2018
Rich.C@EMPOWERgmat.com posted a reply to During a special promotion, a certain filling station is off in the Problem Solving forum
“Hi All, We''re told that during a special promotion, a certain filling station is offering a 10 percent discount on gas purchased AFTER the first 10 gallons. Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas. We''re asked for Isabella''s total PER-GALLON DISCOUNT as a ...”
December 7, 2018
Brent@GMATPrepNow posted a reply to In a 200 member association consisting of men and women, exa in the Problem Solving forum
“In order to minimize the number of homeowners, we must MAXIMIZE the number of men in the group, since the proportion of male homeowners (20%) is less than the proportion of female homeowners (25%) So, let''s see what happens if there are 199 men and 1 woman. If 20% (aka 1/5) of the men are ...”
December 6, 2018
Brent@GMATPrepNow posted a reply to If all of the telephone extensions in a certain company must in the Problem Solving forum
“NOTE: Always SCAN the answer choices before performing any calculations. Here, we notice that the answer choices are pretty small, so if we don''t come up a full solution, we should consider LISTING AND COUNTING We get the following extensions: 1236 1326 1362 1632 2136 2316 3126 3162 ...”
December 6, 2018
Brent@GMATPrepNow posted a reply to If all of the telephone extensions in a certain company must in the Problem Solving forum
“Take the task of arranging the 4 digits and break it into stages. We’ll begin with the most restrictive stage. Stage 1: Select the digit in the units position Since the 4-digit extension must be EVEN, the unit digit must be either 2 or 6 So, we can complete stage 1 in 2 ways Stage ...”
December 6, 2018
Brent@GMATPrepNow posted a reply to What was the revenue that a theater received from the sale in the Data Sufficiency forum
“Target question: What was the revenue that a theater received from the sale of 400 tickets Jump straight to . . . Statements 1 and 2 combined The combined statements tell us that 100 tickets sold for the full price of $25 each. The remaining 300 tickets were sold at some reduced price. ...” December 6, 2018 Brent@GMATPrepNow posted a reply to A certain high school offers two foreign languages, Spanish in the Problem Solving forum “Another approach is to use the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions). Here, we have a population of students, and the two characteristics are: - ...” December 6, 2018 Brent@GMATPrepNow posted a reply to In year x, it rained on 40% of all Mondays and 20% of all in the Data Sufficiency forum “In any given year, there will be 52 or 53 Mondays, 52 or 53 Tuesdays, etc. So, it''s impossible to say that it rained on 40% of all Mondays or 20% of all Tuesdays, etc. For example, if there are 52 Mondays, then 40% of 52 = 20.8, which means that it rained on 20.8 days (impossible). Cheers, ...” December 6, 2018 Brent@GMATPrepNow posted a reply to Three men sit at a table. One dollar is placed in front of in the Problem Solving forum “Let''s see what happens if a man waits until the last (5th) round to take the money. Round #1:$1 placed in front of the man (but he doesn''t take it) Round #2: Now, $2 placed in front of the man (but he doesn''t take it) Round #3: Now,$4 placed in front of the man (but he doesn''t take it) ...”
December 5, 2018
Brent@GMATPrepNow posted a reply to If a, b, and c are positive integers such that a < b < in the Data Sufficiency forum
“Target question: Is a% of b% of c an integer? This is a great candidate for rephrasing the target question. Aside: We have a free video with tips on rephrasing the target question: a% of b% of c is the same as (a/100)(b/100)(c), which equals abc/10,000 So, we can rephrase the target ...”
December 5, 2018
Rich.C@EMPOWERgmat.com posted a reply to 190 students go to a school bake sale. 95 buy a chocolate in the Problem Solving forum
“Hi All, We''re told that 190 students go to a school bake sale. Of those students, 95 buy a chocolate chip cookie, 75 buy a peanut butter cookie, and AT LEAST 12 buy both. We''re asked for the LEAST number of students who could have bought NEITHER type of cookie. This question is a variation on ...”
December 5, 2018
Rich.C@EMPOWERgmat.com posted a reply to What is the difference between the number of three-member in the Problem Solving forum
“Hi All, To start, I agree with Brent; the wording of this prompt is ''clunky'' - and the GMAT writers word their questions in a far more rigorous and specific fashion than what we see here. That having been said, the basic concepts involved here are Combinations and Permutations. We''re ...”
December 5, 2018
Rich.C@EMPOWERgmat.com posted a reply to Mr. McCall selects a number that is two-digit and positive. in the Problem Solving forum
“Hi All, We''re told that Mr. McCall selects a number that is two-digit and positive: If the number is prime, then he assigns that many problems for homework. If the number is NOT prime, then he assigns 8 MORE problems than the number for homework. We''re told he assigns 97 problems for homework. ...”
December 5, 2018
Brent@GMATPrepNow posted a reply to If w, x, and y are consecutive odd positive integers and w & in the Problem Solving forum
“Here''s a 3rd approach: GIVEN: w, x, and y are consecutive odd positive integers and w < x < y Since consecutive odd integers go up by 2, we can write: x = w + 2, and y = w + 2 + 2 = w + 4 So, y - x - w = (w + 4) - (w + 2) - w = w + 4 - w - 2 - w = 2 - w Since w is an ODD integer, ...”
December 5, 2018
Brent@GMATPrepNow posted a reply to What is the difference between the number of three-member in the Problem Solving forum
“The number of three-member committees that can be formed from a group of nine members Since the order in which we select the 3 people does not matter, we can use combinations. We can choose 3 people from 9 people in 9C3 ways 9C3 = (9)(8)(7)/(3)(2)(1) = 84 three-member committees The total ...”
December 5, 2018
Brent@GMATPrepNow posted a reply to All the 7 books of the fictional character series Horry in the Problem Solving forum
“At $8 per book, the 8 books SHOULD have cost$64 (8 x $8 =$64) However, Harry bought the 8 books for $60 So, the amount Harry saved =$64 - $60 =$4 What is savings percentage for Harry, who bought the whole set together? Percent savings = 100(amount saved)/(original price) = 100(4)/64 = ...”
December 5, 2018
Rich.C@EMPOWERgmat.com posted a reply to If s and t are two different numbers on the number line, is in the Data Sufficiency forum
“Hi All, We''re told that S and T are two DIFFERENT numbers on the number line. We''re asked if S + T = 0. This is a YES/NO question and can be solved by TESTing VALUES and a bit of Number Property logic. 1) The distance between S and 0 is the SAME as the distance between T and 0 Since S ...”
December 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to In a certain company, 25% of the women and 17% of the men in the Data Sufficiency forum
“Hi All, This question involves some subtle Number Property rules that you have to consider to get the correct answer. Those rules, along with TESTing VALUES, can help you to quickly answer the question... We''re told that 25% of the women and 17% of the men participate in the voluntary equity ...”
December 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to In her position as a real estate agent, Sarah receives a bon in the Problem Solving forum
“Hi All, We''re told that Sarah receives a bonus for EACH sale she makes - and that last week, she earned a $4,000 bonus, which decreased her AVERAGE bonus amount to$4800 (which represents a decrease of 4%). We''re asked for the number of sales Sarah made. This question can be solved in a couple ...”
December 4, 2018
Brent@GMATPrepNow posted a reply to Charlie takes 2.5 hours to fly from Los Angeles to Mexico Ci in the Problem Solving forum
“Average speed = (total distance traveled)/(total travel time) So, Average speed = 1200/2.5 = 2400/5 = 4800/10 = 480 mph Answer: D Cheers, Brent”
December 4, 2018
Brent@GMATPrepNow posted a reply to In her position as a real estate agent, Sarah receives a bon in the Problem Solving forum
“Last week, Sarah earned a $4,000 bonus, which decreased her average bonus amount to$4800. This represents a decrease of 4%. Let x = OLD average bonus amount We can write: x - 0.04x = $4800 Simplify: 0.96x =$4800 Solve: x = $4800/(0.96) =$5000 How many sales has Sarah made? Let n = the ...”
December 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to If x^3 < x^2, what is the value of the integer x? in the Data Sufficiency forum
“Hi All, We''re told that X is an INTEGER and X^3 is LESS than X^2. We''re asked for the value of X. This question can be solved with a mix of Number Properties and TESTing VALUES. To start, there are only certain types of values that will fit the given information that X^3 is less than X^2: ...”
December 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to A certain company that sells only cars and trucks reported in the Problem Solving forum
“Hi All, We''re told that a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and trucks sales in 1997 were up 1 percent ...”
December 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to Mary is building a pyramid out of stacked rows of soup cans. in the Problem Solving forum
“Hi All, We''re told that Mary is building a pyramid out of stacked rows of soup cans; the top row of the pyramid contains a single soup can, each row below the top row contains 6 MORE cans than the one above it and the completed pyramid contains 16 rows. We''re asked for the TOTAL number of soup ...”
December 3, 2018
Brent@GMATPrepNow posted a reply to If there are 4 pairs of twins, and a committee will be in the Problem Solving forum
“Here''s another approach. Take the task of selecting the 3 committee members and break it into stages. Stage 1: Select the 3 twins from which we will select 1 spouse each. There are 4 sets of twins, and we must select 3 of them. Since the order in which we select the 3 twins does not ...”
December 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to When running a mile during a recent track meet, Nuria was in the Problem Solving forum
“Hi All, We''re told that when running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a MINUTE ...”
December 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to When a certain tree was first planted, it was 4 feet tall in the Problem Solving forum
“Hi All, TESTing the ANSWERS is a great way to tackle this question. The "fast" way to solve a problem can still sometimes take time, but regardless of how you approach a prompt, you still need to take notes and stay organized. From the screen capture, you chose answer C (1/2). If ...”
December 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to Portia purchased a laptop for $480, but after checking the in the Problem Solving forum “Hi All, We''re told that Portia purchased a laptop for$480, but after checking the merchant''s website realized that she had been overcharged by 20%. We''re asked how many dollars she was overcharged. This question can be solved in a couple of different ways, including by TESTing THE ANSWERS. ...”
December 1, 2018
Brent@GMATPrepNow posted a reply to For each of her sales, a saleswoman receives a commission in the Problem Solving forum
“Saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 30 percent of the total amount in excess of$500 If she sold $800, then... Commission = (20 percent of$500) + (30 percent of $300) =$100 + $90 =$190 The saleswoman''s commission ...”
December 1, 2018
Brent@GMATPrepNow posted a reply to Portia purchased a laptop for $480, but after checking the in the Problem Solving forum “Let x = the INTENDED price of the laptop Portia was overcharged by 20% So, x + (20% of x) = the amount Portia paid In other words: x + 0.2x =$480 Simplify: 1.2x = 480 Solve: x = 480/1.2 = 400 So, Portia was SUPPOSED to pay $400, but she actually paid$480 So, Portia was overcharged ...”
December 1, 2018
Brent@GMATPrepNow posted a reply to When a certain tree was first planted, it was 4 feet tall in the Problem Solving forum
“Height of tree on day 0 = 4 Let d = the height increase each year Height of tree at the end of the 1st year = 4+d Height of tree at the end of the 2nd year = 4+d+d = 4 + 2d Height of tree at the end of the 3rd year = 4+d+d+d = 4 + 3d Height of tree at the end of the 4th year = 4+d+d+d+d = 4 + ...”
December 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to Reggie purchased a car costing $8,700. As a down payment he in the Problem Solving forum “Hi All, We''re told that Reggie purchased a car costing$8,700 and as a down payment he used a $2,300 insurance settlement and an amount from his savings equal to 15 percent of the difference between the cost of the car and the insurance settlement. He borrowed the rest of the money needed to ...” November 30, 2018 Rich.C@EMPOWERgmat.com posted a reply to Of the employees at a company, 60 percent were men and, of in the Problem Solving forum “Hi swerve, We''re told that of the employees at a company, 60 percent were men and, of these, 1/10 were still employed after a recent corporate restructuring and the number of women who were still employed after the restructuring was FIVE TIMES the number of men who were employed after it. ...” November 30, 2018 Brent@GMATPrepNow posted a reply to Last Friday a certain shop sold 3/4 of the sweaters in its in the Data Sufficiency forum “ Given: Last Friday a certain shop sold 3/4 of the sweaters in its inventory. Each sweater sold for$20. Target question: What was the total revenue last Friday from the sale of this sweaters? Statement 1: When the shop opened last Friday, there were 160 sweaters in its inventory. 3/4 ...”
November 30, 2018
Brent@GMATPrepNow posted a reply to When running a mile during a recent track meet, Nuria was in the Problem Solving forum
“The long approach is to meticulously convert 11/25 of a minute to seconds, and then ADD that unaccounted time to Nuria''s recorded time (of 5 minutes, 44 seconds) However, when we check the answer choices before performing any calculations (ALWAYS check the answer choices before performing any ...”
November 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to A box contains red and blue balls only. If there are 8 balls in the Data Sufficiency forum
“Hi All, We''re told that a box contains red and blue balls only and that there are 8 balls in total. We''re asked for the number of RED balls are in the box. 1) If two balls are randomly selected without replacement, the probability that both balls are red is 5/14 To start, since we''re ...”
November 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to Inequality in the Data Sufficiency forum
“Hi All, We''re asked for the value of |X - 2|. This question comes down to a specific math concept (Absolute Value), some basic arithmetic and thoroughness on your part - meaning that you have to make sure that you answer the question that is ASKED. 1) |X - 4| = 2 Since we''re dealing ...”
November 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to 3 Month Study Plan? in the GMAT Strategy forum
“Hi intelligenthuman171, Since it sounds like you''re just beginning your studies, then it would be a good idea to take a FULL-LENGTH practice CAT Test; you can take 2 for free at www.mba.com (and they come with some additional practice materials). If you want to do a little studying first, so ...”
November 29, 2018
Brent@GMATPrepNow posted a reply to GMAT PREP CR... why is A wrong? in the Critical Reasoning forum
“A student asked me to answer this question, so here it goes . . . 1) Read the question stem to determine the question type. Tricky! With fill-in-the-blank questions, it''s often difficult to determine the question type. The last sentence reads Unitron is not going to hire department heads ...”
November 29, 2018
Brent@GMATPrepNow posted a reply to New cars leave a car factory in a repeating pattern of red, in the Problem Solving forum
“Let''s examine the pattern. CAR # | color 1 | red 2 | blue 3 | black 4 | gray 5 | red 6 | blue 7 | black 8 | gray 9 | red . . . The pattern REPEATS EVERY 4 CARS. So, we say the pattern has CYCLE 4 Also, notice that every car # that''s divisible by 4 is gray So, let''s find a ...”
November 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to If each of the two digits X and Y is distinct, is the two di in the Data Sufficiency forum
“Hi All, We''re told that each of the two DIGITS X and Y is distinct. We''re asked if the two-digit integer XY is PRIME. This is a YES/NO question and can be solved by TESTing VALUES. 1) Each of the digits X and Y is the sum of 2 distinct single digit prime numbers. The single-digit ...”
November 29, 2018
Brent@GMATPrepNow posted a reply to If each of the two digits X and Y is distinct, is the two di in the Data Sufficiency forum
“Target question: Is the two-digit integer xy prime? Given: Each of the two digits x and y is distinct Statement 1: Each of the digits x and y is the sum of 2 distinct single digit prime numbers. Let''s TEST some values. There are several values of x and y that satisfy statement 1. Here ...”
November 29, 2018
Brent@GMATPrepNow posted a reply to Joan spent $10 to buy at least one piece each of apples and in the Data Sufficiency forum “Target question: How many apples did Joan buy? Given: Joan spent$10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange cost$1. Since there are only a handful of possible outcomes, we might benefit from quickly listing them: i) Joan ...”
November 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to A casino pays players with chips that are either turquoise in the Data Sufficiency forum
“Hi All, We''re told that a casino pays players with chips that are either turquoise- or violet- colored; each turquoise- colored chip is worth T dollars, and each violet- colored chip is worth V dollars, where T and V are INTEGERS. We''re asked for the combined value of four turquoise- colored ...”
November 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to On a partly cloudy day, Derek decides to walk back from work in the Problem Solving forum
“Hi All, This question can be solved by TESTing THE ANSWERS. To start, the prompt provides a few clues about why the speeds have to be 2 miles/hour and 3 miles/hour: 1) The two speeds are S miles/hour and (S+1) miles/hour, so the two numbers must differ by EXACTLY 1. 2) We''re told that S ...”
November 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to 12 year out of college, GMAT study plans? in the GMAT Strategy forum
“Hi KDR83, Your Essay and IR Scores are both nice achievements - but most Programs do much put much of a ''premium'' on either of those Scores (although depending on the number of applicants and the situation, it''s possible that those Scores could serve as ''tie breakers'' in your favor). I''d ...”
November 28, 2018
Brent@GMATPrepNow posted a reply to If 320 people attended the wedding and 200 attendees drank in the Data Sufficiency forum
“This question is somewhat ambiguous, since it''s hard to say whether "nondrinkers" in statement 1 refers to people who drank neither beer nor wine, or did not drink beer. I''m assuming that it means to not drink beer, so I''ve add that to the question below. One approach is to use ...”
November 28, 2018
Brent@GMATPrepNow posted a reply to Difficult Manhatan Problem in the Problem Solving forum
“Target question: What is the hundreds digit of the product AB? Given: The difference between positive two-digit integer A and the smaller two-digit integer B is twice A‘s units digit Let x = the tens digit of A, and let y = the units digit of A So, the VALUE of A = 10x + y From the ...”
November 28, 2018
Brent@GMATPrepNow posted a reply to If a child is randomly selected from Columbus Elementary in the Data Sufficiency forum
“Target question: What is the probability that the child will be a boy? This is a good candidate for rephrasing the target question. Let G = # of girls in the school Let B = # of boys in the school So, G + B = total number of children in the school So, P(selected child is a boy) = B/(G + B) ...”
November 28, 2018
Brent@GMATPrepNow posted a reply to A club has 10 members. One president and two vice-presidents in the Problem Solving forum
“Take the task of selecting the president and two vice-presidents and break it into stages. Stage 1: Select the president There are 10 people to choose from. So, we can complete stage 1 in 10 ways Stage 2: Select two people to be the vice-presidents Since the order in which we select the ...”
November 28, 2018
Brent@GMATPrepNow posted a reply to On a partly cloudy day, Derek decides to walk back from work in the Problem Solving forum
“Let''s PLUG IN a nice value for the total distance traveled. If Derek''s average speed is 2.8 mph, then let''s say that he traveled a total of 28 miles. At an average rate of 2.8 mph, a 28 mile trip will take 10 hours. Since Derek''s average speed is BETWEEN 2 and 3 mph, we can conclude that ...”
November 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to A company accountant estimates that airfares next year for in the Problem Solving forum
“Hi All, We''re told that a company accountant estimates that airfares next year for business trips of a thousand miles or less will increase by 20 percent and airfares for all other business trips will increase by 10 percent. This year, total airfares for business trips of a thousand miles or ...”
November 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to An urn contains 10 balls, numbered from 1 to 10. If 2 balls in the Problem Solving forum
“Hi All, We''re told that an urn contains 10 balls, numbered from 1 to 10 and we''re told that 2 balls are selected at random WITH replacement. We''re asked for the probability that the SUM of the 2 numbers on the balls will be EVEN. This question can be solved in a couple of different ways, ...”
November 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to In a group of 20 people, 5 of them belong to the golf club, in the Problem Solving forum
“Hi All, 3-Group Overlapping Sets questions are relatively rare on the Official GMAT (you likely will NOT see this version of Overlapping Sets on Test Day). However, there is a formula that you can use to solve it. Total = (Those in none of the groups) + (1st group) + (2nd group) + (3rd ...”
November 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to Between the first day of May and last day in June, the price in the Problem Solving forum
“Hi All, We''re told that a between the first day of May and last day in June, the price per kilogram of Melange, a seasoning mix, first DECLINED by 20 percent and then INCREASED by 50 percent and during this same period, the price per liter of Blue, a spring water, first INCREASED by 20 percent ...”
November 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to Bobby bought 2 shares, and which he sold for $96 each. If he in the Problem Solving forum “Hi All, We''re told that Bobby bought 2 shares, which he sold for$96 each, he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share. We''re asked to find the TOTAL profit or loss on the sale of the two shares. This question essentially comes down ...”
November 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT Experience: 540 to 640 in one month in the I just Beat The GMAT! forum
“Hi utdallas2019, That''s absolutely fantastic news! A 100-point improvement in such a short period of time is a terrific achievement - and since this 640 puts you well above your Goal Score, this sounds like a bit ''win'' overall! You clearly have a strong work ethic and capacity to improve, so I ...”
November 27, 2018
Brent@GMATPrepNow posted a reply to The weights of four packages are 1, 3, 5, and 7 pounds, resp in the Problem Solving forum
“That''s MUCH better than my solution!! Cheers, Brent<i class="em em---1"></i>”
November 27, 2018
Brent@GMATPrepNow posted a reply to The weights of four packages are 1, 3, 5, and 7 pounds, resp in the Problem Solving forum
“For each answer choice, if we CAN create the total given weight, then we can ELIMINATE that answer choice. a) 9 = 1 + 3 + 5 ELIMINATE b) 10 = 3 + 7 ELIMINATE c) 12 = 5 + 7 ELIMINATE d) 13 = 1 + 5 + 7 ELIMINATE By the process of elimination, the correct answer is E Cheers, Brent”
November 27, 2018
Brent@GMATPrepNow posted a reply to If 1+2+2^2+... +2^n=2^{n+1}-1, what is the largest prime fac in the Problem Solving forum
“GIVEN: 1 + 2 + 2^2 + ... + 2^n = 2^{n+1} - 1 So, 1 + 2 + 2^2 + ... + 2^7 = 2^{7+1} - 1 = 2^8 - 1 If we recognize that the above expression is a difference of squares, we can factor it to get.... 2^8 - 1 = (2^4 + 1)(2^4 - 1) = (2^4 + 1)(2^2 + 1)(2^2 - 1) = (16 + 1)(4 + 1)(4 - 1) = ...”
November 27, 2018
Brent@GMATPrepNow posted a reply to How many integers from 0 to 50, inclusive, have a remainder in the Problem Solving forum
“When it comes to remainders, we have a nice rule that says: If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), ...”
November 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to In a certain state, gasoline stations compute the price per in the Problem Solving forum
“Hi All, This question can be solved by TESTing VALUES. P = Price per gallon CHARGED D = Price per gallon for the Dealer We''re told that the Dealer price has a 4% tax AND 18 cents per gallon added on. So, I''m going to pick a nice round number for D. D = $10 P =$10 +4%($10) + ...” November 27, 2018 Rich.C@EMPOWERgmat.com posted a reply to At an auto detailing company, it takes 15 minutes for an in the Problem Solving forum “Hi All, We''re told that at an auto detailing company, it takes 15 minutes for an employee to service a car and 24 minutes to service a truck and the company needs to service all 300 trucks and 360 cars on a lot during a 6-hour shift. We''re asked for the number of employees needed to complete ...” November 27, 2018 Rich.C@EMPOWERgmat.com posted a reply to A certain recipe calls for 2 cups of sugar and 3 1/2 cups of in the Problem Solving forum “Hi All, We''re told that a certain recipe calls for 2 cups of sugar and 3 1/2 cups of flour. We''re asked for the ratio of sugar to flour in this recipe. This question can be solved in a couple of different ways. The answer choices are sufficiently ''spread out'' that we can actually answer this ...” November 27, 2018 Rich.C@EMPOWERgmat.com posted a reply to A chili recipe calls for the final mixture to consist of 1/2 in the Problem Solving forum “Hi vinni.k, We''re told that a chili recipe calls for the final mixture to consist of 1/2 meat and 1/3 beans, with the remainder an even mixture of sauce and various spices (and a total of 6 pounds of sauce and spices are used). We''re asked how many pounds of beans are used. This question can ...” November 27, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMAT Mistake Tracker Tool from EMPOWERgmat in the GMAT Strategy forum “Hi nnennaj, We''ve been unable to recreate the error that you are experiencing. One of our Engineers suggested that you might try using Apple Numbers. GMAT assassins aren''t born, they''re made, Rich” November 27, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMAT Error Logs Suggestions and Feedback in the Suggestions and Feedback forum “Hi nnennaj, We''ve been unable to recreate the error that you are experiencing. One of our Engineers suggested that you might try using Apple Numbers. GMAT assassins aren''t born, they''re made, Rich” November 27, 2018 Brent@GMATPrepNow posted a reply to Is b even? in the Data Sufficiency forum “Target question: Is b even? KEY POINT: We are not told that a and b are INTEGERS. As such, we can jump straight to. . . . Statements 1 and 2 combined There are several values of a and b that satisfy BOTH statements. Here are two: Case a: a = 4 and b = 2. Notice that a/b = 4/2 = 2, ...” November 27, 2018 Brent@GMATPrepNow posted a reply to In the rectangular coordinate system shown above, does the in the Data Sufficiency forum “Target question: Does line k intersect quadrant II? Statement 1: The slope of k is -1/6 Here are a few lines with slope -1/6 https://i.imgur.com/1p6USLh.png KEY CONCEPT: As we travel from right to left along a line with slope -1/6, we keep moving up. So, at some point, the line will ...” November 27, 2018 Brent@GMATPrepNow posted a reply to A certain recipe calls for 2 cups of sugar and 3 1/2 cups of in the Problem Solving forum “Judging from the OA, I''ve added some key text below A certain recipe calls for 2 cups of sugar and 3 1/2 cups of flour So sugar/flour = 2/3.5 Check answer choices . . . . not there. Looks like we need to create a ratio that''s EQUIVALENT to 2/3.5 Multiply top and bottom by 2 to get ...” November 27, 2018 Brent@GMATPrepNow posted a reply to When the positive integer x is divided by 6, the remainder in the Problem Solving forum “Good catch - thanks Fabio! I''ve edited my response accordingly. Cheers, Brent” November 26, 2018 Brent@GMATPrepNow posted a reply to In a certain state, gasoline stations compute the price per in the Problem Solving forum “In a certain state, gasoline stations compute the price per gallon "p", in dollars, charged at the pump by adding a 4 percent sales tax to the dealer''s price per gallon "d", in dollars . . . We can write: p = d + 4% of d = d + 0.04d = 1.04d So, we have: p = 1.04d . . . ...” November 26, 2018 Brent@GMATPrepNow posted a reply to When the positive integer x is divided by 6, the remainder in the Problem Solving forum “APPROACH#2 When the positive integer x is divided by 6, the remainder is 4 In other words, x is 4 greater than some multiple of 6 We can write: x = 6k + 4, where k is an integer If x = 6k + 4, we can also write: x = 6k + 3 + 1 Factor to get: x = 3(2k + 1) + 1 Since 2k+1 must be an integer, ...” November 26, 2018 Brent@GMATPrepNow posted a reply to When the positive integer x is divided by 6, the remainder in the Problem Solving forum “----ASIDE------------------- When it comes to remainders, we have a nice rule that says: If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, ...” November 26, 2018 Brent@GMATPrepNow posted a reply to A chili recipe calls for the final mixture to consist of 1/2 in the Problem Solving forum “A chili recipe calls for the final mixture to consist of 1/2 meat and 1/3 beans, with the remainder an even mixture of sauce and various spices Let''s see what fraction of the final mixture is sauce and various spices 1/2 + 1/3 = 3/6 + 2/6 = 5/6 If 5/6 of the mixture is meat and beans, then the ...” November 26, 2018 Brent@GMATPrepNow posted a reply to A store sells only two types of shirts, branded and in the Data Sufficiency forum “ Given: All the branded shirts are priced at$60 per unit and all the non-branded shirts are priced at $20 per unit. On a certain day, the store sold a total of 30 shirts. Let B = # of branded shirts sold Let N = # of non-branded shirts sold If a TOTAL of 30 shirts were sold, we can write: N + ...” November 26, 2018 Brent@GMATPrepNow posted a reply to Of the 4,800 voters who voted for or against Resolution K, in the Data Sufficiency forum “Target question: What was the total number of female voters who voted for Resolution K? When solving Data Sufficiency questions, it''s important that you don''t perform more calculations than are necessary. So, for this question, we need only determine whether or not we have sufficient ...” November 26, 2018 Brent@GMATPrepNow posted a reply to If x and y are nonnegative integers, what is the value of y? in the Data Sufficiency forum “The above solutions are great. I just wanted to add that whenever you''re told that a value is non-negative on the GMAT, you should be sure to consider what happens when that value equals zero Keep in mind that, if the test-makers wanted to restrict a value to POSITIVE values only, then they''d ...” November 25, 2018 Brent@GMATPrepNow posted a reply to If n is the smallest integer such that 432 times n is the in the Problem Solving forum “IMPORTANT CONCEPT: The prime factorization of a perfect square (the square of an integer) will have an even number of each prime For example: 400 is a perfect square. 400 = 2x2x2x2x5x5. Here, we have four 2''s and two 5''s This should make sense, because the even numbers allow us to split the ...” November 25, 2018 Brent@GMATPrepNow posted a reply to Set P {a, b, c, d, e, f, g} Set Q {a, b, c, d, e, f} If a, b in the Problem Solving forum “The key here is MUST be true. So, if we can find an example in which a statement is NOT true, then we can ELIMINATE it. We have: Set P {a, b, c, d, e, f, g} Set Q {a, b, c, d, e, f} I''ll make the extra value red so it''s easier to compare the two sets So, the sets COULD be: Set P {1, 2, ...” November 25, 2018 Brent@GMATPrepNow posted a reply to Every object in a box is either a sphere or a cube, and ever in the Data Sufficiency forum “Target question: How many objects are in the box? Given: Every object in a box is either a sphere or a cube, and every object in the box is either red or green. We can solve this using the Double Matrix Method. This technique can be used for most questions featuring a population in which ...” November 25, 2018 Brent@GMATPrepNow posted a reply to Last month, a florist gave 7 percent of her sales revenue to in the Problem Solving forum “Choose a "nice" number for the sales revenue Let$100 = LAST MONTH''s revenue So, $120 = THIS MONTH''s revenue (since sales were up 20 percent from last month) LAST month, a florist gave 7 percent of her sales revenue to her employees in bonuses So, bonuses = 7% of$100 = $7 ...” November 23, 2018 Brent@GMATPrepNow posted a reply to In a plane, there are two parallel lines. One line has 5 in the Problem Solving forum “There are two ways in which we can create a triangle. #1) Select 2 points from the 5-point line and select 1 point from the 4-point line. #2) Select 2 points from the 4-point line and select 1 point from the 5-point line. #1) Select 2 points from the 5-point line and select 1 point from the ...” November 23, 2018 Rich.C@EMPOWERgmat.com posted a reply to A retailer sells only radios and clocks. If she currently in the Problem Solving forum “Hi All, We''re told that a retailer sells only radios and clocks and she currently has 44 total items in inventory. We''re asked how many of those items are radios. This question can be solved by TESTing VALUES. 1) The retailer has MORE than 28 radios in inventory. With 44 total items, ...” November 23, 2018 Rich.C@EMPOWERgmat.com posted a reply to A certain telephone company offers two plans, A and B. Under in the Problem Solving forum “Hi All, We''re told that a certain telephone company offers two plans, A and B. Under plan A, the company charges a total of$0.60 for the FIRST 7 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges$0.08 per minute of each call. We''re asked for the duration ...”
November 23, 2018
Rich.C@EMPOWERgmat.com posted a reply to R and S can complete a certain job in 6 and 4 days respectiv in the Problem Solving forum
“Hi All, We''re told that R and S can complete a certain job in 6 and 4 days respectively, while they work individually. We''re asked for the LEAST number of days they will take to complete the same job, if they work on alternate days. Although the wording of this question is a bit ''clunky'', ...”
November 23, 2018
Rich.C@EMPOWERgmat.com posted a reply to Twelve identical machines, running continuously at the same in the Problem Solving forum
“Hi All, We''re told that twelve identical machines, running continuously at the same constant rate, take 8 days to complete a shipment. We''re asked how many ADDITIONAL machines, each running at the same constant rate, would be needed to REDUCE the time required to complete a shipment BY two ...”
November 23, 2018
Brent@GMATPrepNow posted a reply to GMAT PREP KAPLAN VIDEO in the The 60-Day GMAT Study Guide forum
“Thanks for the heads up. This video should serve as a replacement: https://www.gmatprepnow.com/module/general-gmat-strategies/video/1250 Cheers, Brent”
November 23, 2018
Brent@GMATPrepNow posted a reply to Alan and Peter are cycling at different constant rates on a in the Data Sufficiency forum
“ Given: Alan is NOW 3 miles ahead of Peter Target question: How many minutes from now will Peter be 1 mile ahead of Alan? Statement 1: ONE HOUR AGO, Alan was 7 miles ahead of Peter. Alan is NOW 3 miles ahead of Peter So, in one hour, the GAP between Alan and Peter decreased by 4 miles ...”
November 23, 2018
Brent@GMATPrepNow posted a reply to List M consists of 50 decimals, each of which has a value be in the Problem Solving forum
“Let''s examine the EXTREME CASES S - T = x percent of T So, S - T = (x/100)T Divide both sides by to get: (S - T)/T = x/100 Multiply both sides by 100 to get: x = 100(S - T)/T First, we we''ll MINIMIZE the value of x by minimizing the value of S - T and maximizing the value of T. This ...”
November 23, 2018
Brent@GMATPrepNow posted a reply to R and S can complete a certain job in 6 and 4 days respectiv in the Problem Solving forum
“Let''s assign a "nice" value to the job, a value that works well with the given values (6 days and 4 days ). So, let''s say the ENTIRE job is to make 24 widgets R can complete a certain job in 6 days In other words, R can make 24 widgets in 6 days So, R can make 4 widgets per day ...”
November 23, 2018
Brent@GMATPrepNow posted a reply to A certain telephone company offers two plans, A and B. Under in the Problem Solving forum
“Let x = the duration of the phone call (in minutes) Under plan A, the company charges a total of $0.60 for the first 7 minutes of each call and$0.06 per minute thereafter. So, the TOTAL cost = $0.60 + (x - 7 minutes)($0.06) = 0.60 + (0.06x - 0.42) = 0.06x + 0.18 Under plan B, the company ...”
November 23, 2018
Rich.C@EMPOWERgmat.com posted a reply to Gmat Journey... 690 - 640 -710 in the I just Beat The GMAT! forum
“Hi gmat king, The other posts in this thread are over 5 years old, so you might not receive a response from any of the posters. If you''re looking to improve your GMAT Score, then I''ll be happy to analyze your situation/Scores. Before I can offer you the specific advice that you’re looking ...”
November 22, 2018
Rich.C@EMPOWERgmat.com posted a reply to 30 Days to Improve My Score. Can it be done? in the GMAT Strategy forum
“Hi clubber112358, To start, if you have taken any other practice CATs besides the two that you listed, then that information is important. If you''ve been scoring in the low-500s for some time, then it''s possible that you have gotten ''stuck'' at this particular score level - and your ''next ...”
November 21, 2018
Rich.C@EMPOWERgmat.com posted a reply to Help me Beat the GMAT in the I just Beat The GMAT! forum
“Hi melisaaslan, I''m sorry to hear that Test Day didn''t go as well as planned. When these types of score drops occur, the two likely "causes" involve either something that was unrealistic during practice or something that was surprising (or not accounted for) on Test Day. If you can ...”
November 21, 2018
Brent@GMATPrepNow posted a reply to Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum
“The Something Method for solving certain equations Video: https://www.youtube.com/watch?v=mmTisgtNfTI Cheers, Brent”
November 21, 2018
Brent@GMATPrepNow posted a reply to If m represents the slope of a line in the coordinate geomet in the Data Sufficiency forum
“Target question: Does the line intersect quadrant III? Jump straight to... Statements 1 and 2 combined Here are two scenarios that satisfy BOTH statements: Case a: m = 3 https://i.imgur.com/2SVui9E.png In this case, the answer to the target question is YES, the line DOES intersect ...”
November 21, 2018
Brent@GMATPrepNow posted a reply to In the first year of a pyramid scheme, John convinced y of in the Data Sufficiency forum
“Target question: What was the value of y? Statement 1: The revenue for the website that year was $36,000. First round of "investors": y people paying$30 each = 30y dollars Second round of "investors": y² people paying $15 each = 15y² dollars Total revenue = 15y² + ...” November 21, 2018 Brent@GMATPrepNow posted a reply to Missing day 20 in the The 60-Day GMAT Study Guide forum “Done! Cheers, Brent” November 21, 2018 Rich.C@EMPOWERgmat.com posted a reply to 30 Days to Improve My Score. Can it be done? in the GMAT Strategy forum “Hi clubber112358, Before I can offer you the specific advice that you’re looking for, it would help if you could provide a bit more information on how you''ve been studying and your goals: Studies: 1) What study materials have you used so far? 2) How have you scored on EACH of your CATs ...” November 21, 2018 Rich.C@EMPOWERgmat.com posted a reply to How to Get a 700+ on the GMAT? in the I just Beat The GMAT! forum “Hi hitmanov, You should start a new post-thread (instead of piggy-backing on this one) and provide a bit more information on how you''ve been studying and your goals: https://www.beatthegmat.com/gmat-strategy-f3.html Click the orange "Create New Topic" Button above the forum ...” November 21, 2018 Brent@GMATPrepNow posted a reply to Luxo paint contains only alcohol and pigment. What is the in the Data Sufficiency forum “Target question: What is the ratio of alcohol to pigment in Luxo paint? Given: Luxo paint contains ONLY alcohol and pigment. Statement 1: Exactly 7 ounces of pigment are contained in a 12-ounce can of Luxo paint. If 7 of the 12 ounces of paint are PIGMENT, then the remaining 5 ounces ...” November 21, 2018 Brent@GMATPrepNow posted a reply to A children's theater sels tickets to a show. Tickets for in the Data Sufficiency forum “ Given: Tickets for children cost$10 and tickets for adults cost $35. Ticket revenues from the last performance were$390 Let A = # of adults in attendance Let C = # of children in attendance So, we can write: 35A + 10C = 390 Since A and C must be POSITIVE INTEGERS, there are not many ...”
November 20, 2018
Brent@GMATPrepNow posted a reply to A number when divided by 4 and 5 leaves remainders 1 and 4 in the Problem Solving forum
“When it comes to remainders, we have a nice rule that says: If N divided by D, leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), ...”
November 20, 2018
Rich.C@EMPOWERgmat.com posted a reply to When m is divided by 7, the remainder is 5. When m is in the Problem Solving forum
“Hi All, We''re told that when M is divided by 7, the remainder is 5, when M is divided by 13, the remainder is 6 and 1 < m < 200. We''re asked for the GREATEST possible value of M. This question can be solved rather easily by TESTing THE ANSWERS. Let''s TEST Answer E first (if it fits what ...”
November 20, 2018
Brent@GMATPrepNow posted a reply to The number line above represents which of the following in the Problem Solving forum
“We can also solve the question by testing the answer choices Here''s what I mean: The diagram tells us that x= 0 is a solution to the inequality. When we check the answer choices, we see that answer choice D (1 < 2x < 3) does NOT have x = 0 as a solution. When we let x = 0, the ...”
November 19, 2018
Rich.C@EMPOWERgmat.com posted a reply to The number line above represents which of the following in the Problem Solving forum
“Hi All, The given Number line shows us a set of numbers from -3 to +1, NOT inclusive. We can TEST VALUES against the 5 answer choices to find the answer that includes JUST that range of numbers... To start, both Answer A and Answer E include an open-ended range of values, so neither of those ...”
November 19, 2018
Brent@GMATPrepNow posted a reply to If n is an integer between 30 and 50 inclusive, what is the in the Data Sufficiency forum
“Target question: What is the value of n? Given: n is an integer between 30 and 50 inclusive Statement 1: When n is divided by 8, the remainder is 7 ------ASIDE-------------------------------------- When it comes to remainders, we have a nice rule that says: If N divided by D leaves ...”
November 19, 2018
Brent@GMATPrepNow posted a reply to When sold at a 40% discount, a sweater nets the merchant a in the Problem Solving forum
“Let''s work BACKWARDS. Let''s say the WHOLESALE price was $100 the merchant made a net profit of 20% on the wholesale cost (which was$100) So, the merchant sold the sweater for $120 Let M = the markup price on the label (before any discounts). So, 40% less than M =$120 In other ...”
November 19, 2018
Rich.C@EMPOWERgmat.com posted a reply to New to GMAT prep! Need help! in the GMAT Strategy forum
“Hi pratj05, It''s been almost 2 weeks since your first post; have you done any studying since then (and if you have, then what materials have you used so far?)? The 730+ score is one that over 90% of Test Takers never achieve (regardless of how long they study or the number of times that they ...”
November 19, 2018
Rich.C@EMPOWERgmat.com posted a reply to A chef mixes P ounces of 60% sugar solution with Q ounces of in the Data Sufficiency forum
“Hi All, To start, you have to be very careful about your assumptions with this question. You will likely find that doing a little bit of extra work will help you to be sure that you have the correct answer. From the prompt, we know that we''re mixing P ounces of a 60% sugar solution with Q ounces ...”
November 17, 2018
Rich.C@EMPOWERgmat.com posted a reply to Can the positive integer p be expressed as the product of in the Data Sufficiency forum
“Hi All, We''re told that P is a positive integer. We''re asked if P can be expressed as the PRODUCT of two integers, each of which is greater than 1. This is a YES/NO question can be be solved by TESTing VALUES. 1) 31 < p < 37 With the range given in Fact 1, P can only be 5 ...”
November 17, 2018
Rich.C@EMPOWERgmat.com posted a reply to If p is the sum of the reciprocals of the consecutive intege in the Problem Solving forum
“Hi All, Based on the wording of the prompt, you might think that you should add up the fractions 1/91 + 1/92 + .... 1/100, but the GMAT would NEVER require that you do that math. Instead, lets do some real basic estimation of what that sum would be LESS than and GREATER than.... Note that we''re ...”
November 17, 2018
Rich.C@EMPOWERgmat.com posted a reply to A dealer originally bought 100 identical batteries at a tota in the Problem Solving forum
“Hi All, We''re told that a dealer originally bought 100 identical batteries at a total cost of Q dollars and that each battery was sold at 50 percent above the original cost per battery. We''re asked for the amount, in dollars, that each battery was sold, in terms of Q. This question can also be ...”
November 17, 2018
Rich.C@EMPOWERgmat.com posted a reply to OG DS in the GMAT Math forum
“Hi rashedhbs, To start, you would like receive more of a response if you make sure to post your questions in the proper forums. For example, the DS forum can be found here: https://www.beatthegmat.com/data-sufficiency-f7.html We''re told that 230 single-family homes that were BUILT in City ...”
November 17, 2018
Brent@GMATPrepNow posted a reply to Kevin buys beer in bottles and cans. He pays $1.00 for each in the Data Sufficiency forum “Target question: How many bottles of beer did Kevin buy? Given: Kevin pays$1.00 for each can of beer and $1.50 for each bottle of beer. Kevin buys a total of 15 bottles and cans of beer Let C = the NUMBER of Cans that Kevin bought Let B = the NUMBER of Bottles that Kevin bought So, we can ...” November 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to When a certain tree was first planted, it was 4 feet tall, in the Problem Solving forum “Hi All, TESTing the ANSWERS is a great way to tackle this question. The "fast" way to solve a problem can still sometimes take time, but regardless of how you approach a prompt, you still need to take notes and stay organized. From the screen capture, you chose answer C (1/2). If ...” November 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to A reatil appliance store priced a video recorder at 20 in the Problem Solving forum “Hi All, We''re told that a retail appliance store priced a video recorder at 20 percent above the wholesale cost of$200 and a store employee applied the 10 percent employee discount to the retail price to buy the recorder. We''re asked for the total price the employee paid for the recorder. The ...”
November 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to In a certain toy store, 20% of the international branded in the Problem Solving forum
“Hi swerve, We''re told that in a certain toy store, 20% of the INTERNATIONAL branded toys are the ONLY premium category toys and that premium toys make up 10% of the TOTAL number of toys in the store. We''re asked to find the percentage of toys in the store that are international brands. This ...”
November 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT retake in the GMAT Strategy forum
“Hi BHUPENDRA, First off, a 640/Q49 is a solid score (it''s right around the 70th percentile overall), so it could be enough to get you into your first-choice School. GMAC has publicly stated that the Official Score that you earn on Test Day is within +/- 30 points of actual ability. Assuming a ...”
November 16, 2018
Brent@GMATPrepNow posted a reply to What is the least possible product of 4 different integers, in the Problem Solving forum
“We want values with the greatest MAGNITUDE So (10)(9)(8)(-5) = -3600 Answer: -3600 Answer: B”
November 16, 2018
Brent@GMATPrepNow posted a reply to A reatil appliance store priced a video recorder at 20 in the Problem Solving forum
“A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200 20% of$200 = $40 So, the retail price =$200 + $40 =$240 If a store employee applied the 10 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the ...”
November 16, 2018
Brent@GMATPrepNow posted a reply to Planning is in progress for a fenced, rectangular playground in the Problem Solving forum
“It''s a good idea to first try to understand what the graph is telling us. For example, the leftmost point on the curve has the coordinates (10, 340) This tells us that, if the length of the playground is 10 meters, then a total of 340 meters of fencing is required. This makes sense, since we ...”
November 16, 2018
Brent@GMATPrepNow posted a reply to When a certain tree was first planted, it was 4 feet tall, in the Problem Solving forum
“Height of tree on day 0 = 4 Let d = the height increase each year Height of tree at the end of the 1st year = 4+d Height of tree at the end of the 2nd year = 4+d+d = 4 + 2d Height of tree at the end of the 3rd year = 4+d+d+d = 4 + 3d Height of tree at the end of the 4th year = 4+d+d+d+d = 4 + ...”
November 16, 2018
Brent@GMATPrepNow posted a reply to In the rhombus ABCD, the length of diagonal BD is 6 and the in the Problem Solving forum
“In a rhombus, the diagonals are perpendicular bisectors. http://i1168.photobucket.com/albums/r500/GMATPrepNow/rhmbs1_zps1nyufj6q.png So, we can add our lengths as follows. http://i1168.photobucket.com/albums/r500/GMATPrepNow/rhmbs2_zpskyv3wwkl.png From here, if we focus on one of the 4 ...”
November 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to Planning is in progress for a fenced, rectangular playground in the Problem Solving forum
“Hi All, While this prompt is wordy, the relevant facts are not too hard to pull out. We''re told that a rectangular playground will have an area of 1,600 square meters and we want to MINIMIZE the perimeter of the playground. We''re asked for the LENGTH of the playground under those ...”
November 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to At the Trenchard Oaks apartment complex, a two-bedroom in the Problem Solving forum
“Hi All, We''re told that a two-bedroom apartment costs 50% more to rent than a one-bedroom apartment. If Alex were to rent a two-bedroom apartment for X months it would cost him the same amount as it would to rent a one-bedroom for 12 months. We''re asked for the value of X. This question can be ...”
November 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to Is it possible to score a 700 in 30 days ? in the GMAT Strategy forum
“Hi anish_025, Have you taken the Official GMAT yet? If you have, then how did you Score (including the Quant and Verbal Scaled Scores)? Before I can offer you the specific advice that you’re looking for, it would help if you could provide a bit more information on how you''ve been studying ...”
November 16, 2018
Brent@GMATPrepNow posted a reply to If xy is not equal to zero, what is the ratio of x to y? in the Data Sufficiency forum
“NOTE: We can write the ratio x:y as a fraction x/y Target question: What is the value of x/y ? Statement 1: 3x = 4y Divide both sides by y to get: 3x/y = 4 Divide both sides by 3 to get: x/y = 4/3 So, the answer to the target question is x/y = 4/3 Since we can answer the target question ...”
November 16, 2018
Brent@GMATPrepNow posted a reply to At the Trenchard Oaks apartment complex, a two-bedroom in the Problem Solving forum
“A fast and easy approach is to assign a "nice" value to the monthly rent of a ONE-bedroom apartment. Let''s say the rent on a ONE-bedroom apartment is $100 per month A two-bedroom apartment costs 50% more to rent than a one-bedroom apartment 50% of$100 = $50 So, the rent on a ...” November 15, 2018 Rich.C@EMPOWERgmat.com posted a reply to In a certain game, a large bag is filled with blue, green, in the Problem Solving forum “Hi All, This question involves a bit of logical thinking and factoring skills. You have to take notes and stay organized though, if you want to answer this question correctly. We''re told: Blue chips = 1 point each Green chips = 5 points each Purple chips = X points each (more than ...” November 15, 2018 Brent@GMATPrepNow posted a reply to If line k in the xy-coordinate plane has the equation Ax + B in the Data Sufficiency forum “ Given: Line k has the equation Ax + By = C Target question: What is the slope of line k ? This is a good candidate for rephrasing the target question. Let''s take the given equation Ax + By = C and rewrite it in slope y-intercept form, y = mx + b, where m = slope and b = y-intercept ...” November 15, 2018 Brent@GMATPrepNow posted a reply to What is the ratio of x:y:z? in the Data Sufficiency forum “Target question: What is the ratio of x:y:z? Statement 1: xy = 14 In information about z Statement 1 is NOT SUFFICIENT Statement 2: yz = 21 In information about x Statement 2 is NOT SUFFICIENT Statements 1 and 2 combined There are several values of x, y and z that satisfy BOTH ...” November 15, 2018 Brent@GMATPrepNow posted a reply to If xy : yz : zx = 1:2:3, then what is x : y : z ? in the Problem Solving forum “Let''s focus on pairs of values If xy : yz : zx = 1:2:3, then we know that xy : yz = 1:2 Take xy : yz and divide both sides by y to get the EQUIVALENT ratio x:z This means x:z = 1:2 Check the answer choices... A. 2 : 3 : 6 this answer choice says x:z = 2:6. We need x:z = 1:2 ELIMINATE A ...” November 15, 2018 Brent@GMATPrepNow posted a reply to Over a four-game stretch, Dennis's bowling scope average 240 in the Problem Solving forum “In other words, an increase from 240 to 300 represents what kind of percent increase? Percent increase = (100)(new - old)/old = (100)(300 - 240)/240 = (100)(60)/240 = (100)(1/4) = 25% Answer: B Cheers, Brent” November 15, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMAT Prep Experience with EMPOWERgmat in the I just Beat The GMAT! forum “Hi Shubrat, That''s FANTASTIC news! With this 690, you can apply to any Schools that interest you (and it sounds as if this score puts you above the average Scores at the Programs that you''re considering - which is great news). I hope you reach out and let us know how your applications go. We ...” November 15, 2018 Rich.C@EMPOWERgmat.com posted a reply to retake gmat in the GMAT Strategy forum “Hi Sarat, Studying 12 hours a day would probably be too much studying - and would likely lead to an increased chance of ''burning out'' before your Exam (and that is something that we want to avoid). If you want to study 6-8 hours a day, then that would probably be fine - but you must build in ...” November 15, 2018 Rich.C@EMPOWERgmat.com posted a reply to Self Study Materials - All Areas - 4 month preparation in the GMAT Strategy forum “Hi Gopi, To start, a 570 is a strong ''baseline'' score (the average score on the Official GMAT hovers around 550 most years). You''ve also given yourself plenty of time to study - which is good. Given your Score Goal, you would likely find it beneficial to invest in a GMAT Course of some type ...” November 15, 2018 Brent@GMATPrepNow posted a reply to The table above shows the distribution of tests scores for a in the Problem Solving forum “Since we have an ODD number of values, the median will be the MIDDLEMOST value. In other words, if we arrange all 73 values in ASCENDING order, the median will be the 37th value (i.e., 36 values are below and 36 values are above). The table says the first 2 scores in the 50-59 range. So, the 1st ...” November 15, 2018 Brent@GMATPrepNow posted a reply to # X-Axis Intercepts in the Problem Solving forum “Let''s find some points that lie on each of the curves. So, for each equation, we''ll find a pair of values (an x-value and a y-value) that satisfy each equation. We''ll do so by plugging in some x-values and calculating the corresponding y-values. Let''s start with x = 0 Plug x = 0 into ...” November 14, 2018 Brent@GMATPrepNow posted a reply to How many positive two-digit numbers yield a remainder of 1 in the Problem Solving forum “When it comes to remainders, we have a nice rule that says: If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), ...” November 14, 2018 Rich.C@EMPOWERgmat.com posted a reply to Distance Problem in the Problem Solving forum “Hi All, We''re told that A, B and C each drive 100-mile legs of a 300-mile course at speeds of 40, 50 and 60 miles per hour, respectively. We''re asked what FRACTION of the total drive time did A drive. This question can be solved in a couple of different ways; there''s actually a great ''ratio ...” November 13, 2018 Rich.C@EMPOWERgmat.com posted a reply to Paul sells encyclopedias door-to-door. He earns$160 on in the Problem Solving forum
“Hi All, We''re told that Paul sells encyclopedias door-to-door. He earns $160 on every paycheck, regardless of how many sets he sells and a commission as follows: 10% on the first$10,000.00 and 5% for any additional sales beyond that. His largest paycheck of the year was $1,320. We''re ...” November 13, 2018 Rich.C@EMPOWERgmat.com posted a reply to On a wedding catering service, An experienced chef can in the Problem Solving forum “Hi All, We''re told that on a wedding catering service, an experienced chef can prepare a service for a wedding in 8 hours while an novice chef would finish the preparations in 12 hours. If the catering service employs the SAME number of novice and experienced chefs, then how many chefs would it ...” November 13, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMATPrep in the Problem Solving forum “Hi All, We''re told that 3^(X) - 3^(X-1) = 162. We''re asked for the value of then (X)(X-1). This question can be solved rather easily with a bit of ''brute force'' arithmetic. Since we''re dealing with ''powers of 3'', let''s map out the first several values: 3^1 = 3 3^2 = 9 3^3 = 27 3^4 ...” November 13, 2018 Rich.C@EMPOWERgmat.com posted a reply to The ratio of the degree measures of the angles of a triangle in the Problem Solving forum “Hi All, We''re told that the ratio of the degree measures of the angles of a triangle is 2:3:4. We''re asked which of the following is the sum of the degree measures of the SMALLEST and LARGEST angles. Since the ratio of the angles is 2:3:4, we can refer to those 3 angles as 2X, 3X and 4X, ...” November 13, 2018 Rich.C@EMPOWERgmat.com posted a reply to When Leo imported a certain item, he paid a 7 percent import in the Problem Solving forum “Hi All, You can approach this question by TESTing THE ANSWERS. Instead of setting this up algebraically, you can use the ''spread'' of the answer choices to your advantage. Here, if the total value of the item were$2,000, then the tax would only apply to the amount over $1,000....$1,000 x ...”
November 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to A chemical supply company has 60 liters of a 40% HNO3 in the Problem Solving forum
“Hi swerve, We''re told that a chemical supply company has 60 liters of a 40% HNO3 solution. We''re asked for the number of liters of pure undiluted (meaning 100%) HNO3 the chemists must add so that the resultant solution is a 50% solution. This question is essentially a ''Weighted Average'' ...”
November 13, 2018
Brent@GMATPrepNow posted a reply to When Leo imported a certain item, he paid a 7 percent import in the Problem Solving forum
“Here''s a step-by-step algebraic solution. Let T = the TOTAL value of the item. Leo paid a 7% import tax on the portion of the total value of the item in EXCESS of $1000 So, Leo pays tax on the amount that''s GREATER then$1000 So, Leo pays 7% tax on (T - 1000) We can write: import tax = ...”
November 13, 2018
Brent@GMATPrepNow posted a reply to If xy ≠ 0 and x^2+4y^2=4xy, (x+y)/(x-y)=? in the Problem Solving forum
“GIVEN: x² + 4y² = 4xy Subtract 4xy from both sides to get: x² - 4xy + 4y² = 0 Factor left side to get: (x - 2y)(x - 2y) = 0 So, we can conclude that (x - 2y) = 0, which means x = 2y Now take (x+y)/(x-y) and replace x with 2y to get: (x + y)/(x - y) = (2y + y)/(2y - y) = 3y/y = 3 ...”
November 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to During the four years that Mrs. Lopez owned her car, she in the Problem Solving forum
“Hi All, While this question IS wordy, the math behind it is just arithmetic. If you break the prompt into ''pieces'', then the work shouldn''t be too difficult. The first two sentences tell us that the total car expenses were $18,000, fuel and maintenance costs accounted for 1/3 of THAT total and ...” November 12, 2018 Rich.C@EMPOWERgmat.com posted a reply to 490 to 740, Verbal 45 - The GMAT Crush Fest in the I just Beat The GMAT! forum “Hi clubber112358, You might find it useful to start your own post-thread (instead of piggy-backing on this one) and providing a more-detailed description of how you''ve been studying. If you would rather keep the discussion private, then you can feel free to PM or email me directly. Before I ...” November 12, 2018 Rich.C@EMPOWERgmat.com posted a reply to retake gmat in the GMAT Strategy forum “Hi sarat0994, From what you have described, it sounds as if you worked through lots of practice questions, but it''s not clear whether you were actually practicing Tactics and training to take advantage of all of the built-in patterns that GMAT question-writers put into the Exam or not. Raising ...” November 12, 2018 Rich.C@EMPOWERgmat.com posted a reply to [ADVICE IS WELCOME!] Post GMAT Debrief in the GMAT Strategy forum “Hi Leo, To start, since you have named some highly-competitive Schools, you would likely find it beneficial to speak with an Admissions Expert about your overall profile and application plans. There''s a Forum full of those Experts here: ...” November 12, 2018 Brent@GMATPrepNow posted a reply to OG #217 question in the Problem Solving forum “P(selecting a sibling pair) = P(select a junior with a sibling AND select the senior who is that junior''s sibling) = P(select a junior with a sibling) x P(select the senior who is that junior''s siblingx 1/800 = 60/800,000 = 3/40,000 = A Note: P(select a junior with a sibling) = 60/1000, ...” November 12, 2018 Brent@GMATPrepNow posted a reply to In the figure AB and CD are two diameters of circle. in the Problem Solving forum “Let''s use some useful circle properties First let''s add a blue line, to divide ∠CEB into 2 angles https://i.imgur.com/xe05QIU.png CD is the DIAMETER of the circle Since ∠CED is an inscribed angle containing (aka "holding") the diameter, we can conclude that ∠CED = 90° ...” November 12, 2018 Brent@GMATPrepNow posted a reply to Is the tallest child in Class A taller than tallest child in in the Data Sufficiency forum “Target question: Is the tallest child in Class A is taller than tallest child in Class B? Jump to . . . Statements 1 and 2 COMBINED There are several scenarios that satisfy BOTH statements. Here are two: Case a: Class A heights = {1, 50} and Class B heights = {2, 40}. In this case, the ...” November 12, 2018 Rich.C@EMPOWERgmat.com posted a reply to A gardener is going to plant 2 red rosebushes and 2 white in the Problem Solving forum “Hi All, The math that''s required to answer this question can actually be done in a couple of different ways, depending on how you "see" probability questions. We''re given 2 red rosebushes (R1 and R2) and two white rosebushes (W1 and W2). We''re told to put these 4 rosebushes in a ...” November 11, 2018 Rich.C@EMPOWERgmat.com posted a reply to Veritas Prep: is it significantly harder than others? in the GMAT Strategy forum “Hi baldururikson, The scoring algorithm on the Official GMAT is far more complicated than most people realize. Since that algorithm is proprietary, no GMAT company has an exact match for it, thus CAT scores can vary a bit based on the ''biases'' involved in their respective designs. The most ...” November 11, 2018 Rich.C@EMPOWERgmat.com posted a reply to 12 year out of college, GMAT study plans? in the GMAT Strategy forum “Hi KDR83, First off, a 640 is a solid score (it''s right around the 70th percentile overall), so it could be enough to get you into your first-choice School. As such, a retest might not be necessary. Depending on the Schools that you plan to apply to, you would likely find it beneficial to speak ...” November 11, 2018 Rich.C@EMPOWERgmat.com posted a reply to Feel Demotivated in the The GMAT Avengers Study Group forum “Hi Arun192097, Since this website is devoted to preparing for the GMAT and applying to Business School, we should focus on those areas of discussion. Before I can offer you the specific advice that you’re looking for, it would help if you could provide a bit more information on how you''ve ...” November 11, 2018 Rich.C@EMPOWERgmat.com posted a reply to retake gmat in the GMAT Strategy forum “Hi sarat0994, I''m sorry to hear that Test Day did not go as well as hoped. The ''swings'' in your practice CAT/mock Scores imply that you might have taken those Exams in an inconsistent fashion - and in ways that did not necessarily ''match up'' with what you faced on Test Day. Before we ...” November 11, 2018 Brent@GMATPrepNow posted a reply to Eight women and two men are available to serve on a in the Problem Solving forum “When it comes to probability questions involving "at least," it''s best to try using the complement. That is, P(Event A happening) = 1 - P(Event A not happening) So, here we get: P(getting at least 1 man) = 1 - P(not getting at least 1 man) What does it mean to not get at least 1 man? ...” November 11, 2018 Brent@GMATPrepNow posted a reply to If the positive integer n is greater than 6, what is the in the Data Sufficiency forum “Here''s a somewhat long approach (but it works!): Target question: What is the remainder when n is divided by 6? Given: Positive integer n is greater than 6 Statement 1: When n is divided by 9, the remainder is 2. ------ASIDE---------------- When it comes to remainders, we have a ...” November 11, 2018 Brent@GMATPrepNow posted a reply to If x and y are positive integers, what is the remainder when in the Data Sufficiency forum “Hi Swerve, To avoid ambiguity, you might want to add some spaces or brackets to the original expression. As it stands, 10^x+y could be interpreted as either 10^(x+y) or (10^x) + y Cheers, Brent” November 11, 2018 Brent@GMATPrepNow posted a reply to If x and y are positive integers such that x = 8y + 12, what in the Data Sufficiency forum “Target question: What is the greatest common divisor of x and y? Given: x = 8y + 12 Statement 1: x = 12u, where u is an integer. There are several pairs of values that satisfy the given conditions. Here are two: Case a: x=36 and y=3, in which case the GCD of x and y is 3 Case b: x=60 ...” November 11, 2018 Brent@GMATPrepNow posted a reply to Which of the following is closest to the value of (2^23) in the Problem Solving forum “(2^23)(5^26) = (2^23)(5^23)(5^3) = (2^23)(5^23)(5^3) = (10^23)(5^3) = (10^23)(125) ≈ (10^23)(100) ≈(10^23)(10^2) ≈10^25 Answer: C Cheers, Brent” November 11, 2018 Brent@GMATPrepNow posted a reply to A gardener is going to plant 2 red rosebushes and 2 white in the Problem Solving forum “We can also apply probability rules: P(2 middle bushes are red) = P(1st bush is white AND 2nd bush is red AND 3rd bush is red AND 4th bush is white) = P(1st bush is white) x P(2nd bush is red) x P(3rd bush is red) x P(4th bush is white) = 2/4 x 2/3 x 1/2 x 1/1 = 1/6 = B Cheers, Brent” November 11, 2018 Brent@GMATPrepNow posted a reply to A gardener is going to plant 2 red rosebushes and 2 white in the Problem Solving forum “As with many probability questions, we can also solve this using counting techniques. P(2 middle are red) = (# of outcomes with 2 red in middle)/(total number of outcomes) Label the 4 bushes as W1, W2, R1, R2 total number of outcomes We have 4 plants, so we can arrange them in 4! ways = ...” November 11, 2018 Brent@GMATPrepNow posted a reply to Of the first three dozen cookies baked at a bake shop on a in the Data Sufficiency forum “ Given: Of the first three dozen (36) cookies baked at a bake shop on a certain day, 1/3 were chocolate chip cookies. 1/2 of the remaining cookies that were baked that day were chocolate chip cookies, 1/3 of 36 = 12. So, 12 chocolate cookies were baked in the first round of baking. Let x = ...” November 10, 2018 Brent@GMATPrepNow posted a reply to There were 36,000 hardback copies of a certain novel sold in the Problem Solving forum “From the time the first paperback copy was sold until the last copy of the novel was sold 9 times as many paperback copies as hardback copies were sold Let x = number of hardback copies sold during this time So 9x = number of paperback copies sold during this time So, x + 9x = total number of ...” November 10, 2018 Brent@GMATPrepNow posted a reply to A box contains 10 balls numbered from 1 to 10 inclusive. If in the Problem Solving forum “P(Ann and Jane remove same ball) = P(Ann removes ANY ball AND Jane''s ball matches Ann''s ball) = P(Ann removes ANY ball) x P(Jane''s ball matches Ann''s ball) = 1 x 1/10 = 1/10 Answer: D Aside: Once Jane removes her ball (and then replaces it), we have 10 balls, and 1 of them is the one ...” November 10, 2018 Brent@GMATPrepNow posted a reply to If CD = 6, what is the length of BC? in the Data Sufficiency forum “Is there an image? Cheers, Brent” November 9, 2018 Brent@GMATPrepNow posted a reply to Andrew has a certain number of coins in his pocket. He has in the Problem Solving forum “Let x = number of QUARTERS in pocket So, 0.25x = VALUE of quarters in pocket He has three times as many dimes as quarters So, 3x = number of DIMES in pocket So, 0.10(3x) = 0.3x = VALUE of dimes in pocket He has six times as many nickels as dimes. So, (6)(3x) = number of NICKELS in ...” November 8, 2018 Brent@GMATPrepNow posted a reply to Challenge: Al, Bob, Cal and Don each own 1 hat. If the 4... in the Problem Solving forum “I created this question to highlight many students'' tendency to avoid listing and counting as a possible approach. As you''ll see, the approach is probably the fastest approach. P(no one receives his own hat) = (# of outcomes in which no one receives his own hat)/(TOTAL number of outcomes) ...” November 8, 2018 Brent@GMATPrepNow posted a reply to There are 27 different three-digit integers that can be in the Problem Solving forum “Yes, great work, Mitch! I thought I''d mention that, once we know the correct answer is a multiple of 222 (which is also a multiple of 3), then the correct answer will be a multiple of 3. Useful property: If a number is a multiple of 3, then the sum of its digits is also a multiple of 3. When we ...” November 7, 2018 Brent@GMATPrepNow posted a new topic called Challenge: Al, Bob, Cal and Don each own 1 hat. If the 4... in the Problem Solving forum “Al, Bob, Cal and Don each own 1 hat. If the 4 hats are randomly distributed so that each man receives exactly 1 hat, what is the probability that no one receives his own hat? A) 1/8 B) 1/4 C) 1/3 D) 3/8 E) 1/2 Answer: D Difficulty level: 650 – 700 Source: www.gmatprepnow.com” November 7, 2018 Brent@GMATPrepNow posted a reply to If x, y and z are non-negative integers such that x < y & in the Problem Solving forum “I created this question to show that there can be times when the best (i.e., fastest) way to solve a counting question is by listing and counting How do we know when it''s not a bad idea to use listing and counting? The answer choices will tell us (ALWAYS scan the answer choices before ...” November 7, 2018 Brent@GMATPrepNow posted a reply to How many men are in a certain company's vanpool program? in the Data Sufficiency forum “Target question: How many men are in a certain company''s vanpool program? Statement 1: The ratio of men to women in the program is 3 to 2. Let''s TEST some values. There are several scenarios that satisfy statement 1. Here are two: Case a: There are 3 men and 2 women in the program. In ...” November 7, 2018 Brent@GMATPrepNow posted a reply to Speed Time Distance MGMAT in the Problem Solving forum “GIVEN: When the men start walking, Brian has a 30-mile lead Let B = Brian''s walking speed (in miles per hour) Let A = Ashok''s walking speed (in miles per hour) Since Ashok''s speed is greater than Brian''s speed, the rate at which the gap shrinks = (A - B) miles per hour For example, if A ...” November 6, 2018 Brent@GMATPrepNow posted a reply to 2019 GMAC Official Guide applicable for 60-Day Study Guide? in the The 60-Day GMAT Study Guide forum “If you go here (https://www.gmatprepnow.com/content/improvement-chart) and download the Improvement Chart for the OG2016, you''ll see the question breakdown for each topic. This should help. Cheers, Brent” November 6, 2018 Brent@GMATPrepNow posted a reply to In a certain game, a large bag is filled with blue, green, in the Problem Solving forum “This question begs for some prime factorization. 88,000 = (2)(2)(2)(2)(2)(2)(5)(5)(5)(11) First, we can see that there must be one (11-point) red chip. Now, what role do these 2''s play? Since there are no 2''s hiding among the 5-point chips or the 11-point chips, the 2''s must be associated ...” November 6, 2018 Brent@GMATPrepNow posted a reply to [x] is the greatest integer less than or equal x, what is th in the Problem Solving forum “GIVEN: For example, [3.2] = 3, since 3 is the greatest integer that is less than (or equal) to 3.2 Likewise, [8.7] = 8, since 8 is the greatest integer that is less than (or equal to) 8.7 Now onto the question.... √25 = 5 √36 = 6 √49= 7 √64 = 8 Since √30 is BETWEEN √25 ...” November 6, 2018 Brent@GMATPrepNow posted a reply to If in k+1 years from now John will be m years old, then how in the Problem Solving forum “In k+1 years from now John will be m years old So, m - (k + 1) = John''s PRESENT age How old was John t-1 years ago? So, m - (k + 1) - (t - 1) = John''s age (t-1) YEARS AGO Simplify m - (k + 1) - (t - 1) to get: m - k - t Answer: A Cheers, Brent” November 6, 2018 Brent@GMATPrepNow posted a reply to Pipe A runs 30 liters of water per minute into a pool that in the Problem Solving forum “Let''s determine the COMBINED RATE of the two pipes Given: Pipe A''s RATE = 30 liters per minute This is equivalent to 1800 liters per HOUR Pipe B fills a third of the pool in 6 hours So, Pipe B fills the ENTIRE pool (3600 liters) in 18 hours Rate = Output/time = 3600/18 = 200 liters ...” November 6, 2018 Brent@GMATPrepNow posted a new topic called If x, y and z are non-negative integers such that x < y < z, in the Problem Solving forum “If x, y and z are non-negative integers such that x < y < z, then the equation x + y + z = 11 has how many distinct solutions? A) 5 B) 10 C) 11 D) 22 E) 78 Answer: B Difficulty level: 600-650 Source: www.gmatprepnow.com” November 5, 2018 Brent@GMATPrepNow posted a reply to Challenge question: Is |1 - 4k| < k? in the Data Sufficiency forum “Target question: Is |1 - 4k| < k? Statement 1: k > 4x³ This pretty much tells is that k can have ANY value. For example, notice that, if x = -100, then 4x³ = -4,000,000 So, for this value of x, k can be any number greater than -4,000,000 Let''s TEST some values. There are ...” November 5, 2018 Brent@GMATPrepNow posted a reply to Which sport utility vehicle has a higher list price, the in the Data Sufficiency forum “Target question: Which sport utility vehicle has a higher list price, the Touristo of the Leisure? Statement 1: The list price of the Leisure is 5/6 the list price of the Touristo. If the Leisure''s price is 5/6 of the Touristo''s price, then the answer to the target question is the Touristo ...” November 5, 2018 Brent@GMATPrepNow posted a reply to Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum “Here''s our video on Range and Standard Deviation https://www.youtube.com/watch?v=FbAlIjw2fwY Cheers, Brent” November 5, 2018 Brent@GMATPrepNow posted a reply to If xy=-18, is x less than y? in the Data Sufficiency forum “ Given: xy = -18 Target question: is x less than y? Statement 1: x < 0 In other words, x is NEGATIVE So, our given information (xy = -18) becomes: (NEGATIVE)(y) = -18 In other words: (NEGATIVE)(y) = NEGATIVE This tells us that y is POSITIVE If y is POSITIVE, and x is NEGATIVE, the ...” November 4, 2018 Brent@GMATPrepNow posted a reply to Challenge #2: If x and y are different positive integers, wh in the Problem Solving forum “i) When x is divided by y, the remainder is 2x The remainder cannot be greater than the dividend (the number we''re dividing) For example, it CANNOT be the case that 17 divided by 5 leaves a remainder of 34 Statement i can never be true Check the answer choices. . . . ELIMINATE A and D ii) ...” November 3, 2018 Brent@GMATPrepNow posted a new topic called Challenge question: Is |1 - 4k| < k? in the Data Sufficiency forum “Is |1 - 4k| < k? (1) k > 4x³ (2) k < 2x – x² - 2 Answer: B Difficulty level: 700+ Source: www.gmatprepnow.com” November 3, 2018 Rich.C@EMPOWERgmat.com posted a reply to A post on a website gains a point if a user choose to in the Problem Solving forum “Hi All, We''re told that a post on a website gains a point if a user chooses to upvote it and loses a point if a user chooses to downvote it and that a particular post has a total of 60 points (with 40% of the votes being downvotes). We''re asked for the total number of votes that have been cast ...” November 2, 2018 Rich.C@EMPOWERgmat.com posted a reply to The hexagonal face of the in the Problem Solving forum “Hi All, We''re told that the hexagonal face of the block shown in the figure above has sides of equal length and angles of equal measure and each lateral face is rectangular. We''re asked for the area, in square inches, of one lateral face. This question is based on a Geometry pattern - and if ...” November 2, 2018 Rich.C@EMPOWERgmat.com posted a reply to Cars J and K are making the trip from City A to City B. in the Problem Solving forum “Hi All, We''re told that Cars J and K are making the trip from City A to City B. Car J departs from City A 15 minutes AFTER Car K does, both cars travel along the same route and Car K travels at a constant speed that is 80% the constant speed of Car J. We''re asked for the number of MINUTES that ...” November 2, 2018 Brent@GMATPrepNow posted a reply to If the average (arithmetic mean) of p, q, and r is 6, what i in the Data Sufficiency forum “ Given: The average (arithmetic mean) of p, q, and r is 6 We can write: (p + q + r)/3 = 6 This means: p + q + r = 18 Target question: What is the value of r? Statement 1: p = -r Given: p + q + r = 18 Replace p with -r to get: -r + q + r = 18 Simplify: q = 18 What about the value of ...” November 2, 2018 Brent@GMATPrepNow posted a reply to Cars J and K are making the trip from City A to City B. in the Problem Solving forum “Car K travels at a constant speed that is 80% the constant speed of Car J Let''s assign some nice values to the speeds. Let''s say Car J travels 40 miles per hour So, Car K travels 32 miles per hour Car J departs from City A 15 minutes after Car K does Let''s calculate the distance that Car ...” November 2, 2018 Brent@GMATPrepNow posted a reply to At a family summer party, each of the x members of the in the Problem Solving forum “Let''s use the INPUT-OUTPUT approach. It might be useful to choose a number that works well with the fractions given in the question (1/3 and 1/7). So, let''s say there are 21 family members at the party. In other words, we''re saying that x = 21 1/3 chose to have a hamburger, and of ...” November 1, 2018 Brent@GMATPrepNow posted a reply to When a positive integer n is divided by 19, what is the rema in the Data Sufficiency forum “Target question: When n is divided by 19, what is the remainder? Statement 1: n-17 is a multiple of 19 ----ASIDE------------------------------------------- If N is a multiple of d, then we can write N = dk (for some integer k) For example, if N is a multiple of 5, then we can write N = 5k ...” November 1, 2018 Brent@GMATPrepNow posted a reply to In the diagram above, points A, B, C, D, and E represent the in the Problem Solving forum “points A, B, C, D, and E represent the five teams in a certain league in which each team must play each of the other teams exactly once. Let''s first determine the total number of games that will be played. There are 5 teams, so each team will play 4 games (since a team can''t play itself) So, ...” November 1, 2018 Brent@GMATPrepNow posted a reply to In four years, Andy will be twice as old as Betsy. How old in the Data Sufficiency forum “ Given: In four years, Andy will be twice as old as Betsy. Let A = Andy''s PRESENT age Let B = Betsy''s PRESENT age So, A+4 = Andy''s age IN 4 YEARS And so, B+4 = Betsy''s age IN 4 YEARS If Andy will be twice as old as Betsy IN 4 YEARS, we can write: A+4 = 2(B+4) Expand: A + 4 = 2B + 8 ...” October 31, 2018 Brent@GMATPrepNow posted a reply to If m and n are integers, is m+m^2-n an even number? in the Data Sufficiency forum “ Given: m and n are integers Target question: Is m + m² - n an even number? This is a good candidate for rephrasing the target question Aside: Here’s a video with tips on rephrasing the target question: We can take the expression, m + m² - n and rewrite it as m(1 + m) - n Now notice ...” October 31, 2018 Brent@GMATPrepNow posted a reply to In 1995 a certain store had 1,800 tools in stock that had in the Problem Solving forum “1,000 of these tools were sold in 1995 for$40 each So, the REVENUE = (1000)($40) =$40,000 The 1000 tools were purchased for $30 each. So, the EXPENSE = (1000)($30) = $30,000 PROFIT for 1995 =$40,000 - $30,000 =$10,000 ----------------------------------------------- The remaining 800 ...”
October 31, 2018
Brent@GMATPrepNow posted a reply to Tom, Bill, Robert, Roger, and Terry are standing in a row in the Problem Solving forum
“One approach is to ignore the rule and determine the total number of ways to arrange all 5 people, and then subtract the number of arrangements that BREAK the rule. I''m sure someone will post that kind of solution shortly. Here''s another approach: Take the task of arranging the 5 men and ...”
October 30, 2018
Brent@GMATPrepNow posted a new topic called Challenge #2: If x and y are different positive integers, wh in the Problem Solving forum
“If x and y are different positive integers, which of the following COULD be true: i) When x is divided by y, the remainder is 2x ii) When x is divided by 2y, the remainder is y iii) When (2x + y) is divided by (x + y), the remainder is y A) i only B) ii only C) iii only D) i & ii ...”
October 30, 2018
Brent@GMATPrepNow posted a reply to Challenge: If x and y are different positive integers, which in the Problem Solving forum
“i) When x is divided by y, the remainder is x This occurs any time x < y For example, if x = 5 and y = 7, then statement i becomes: When 5 is divided by 7, the remainder is 5 So true! Scan the answer choices....eliminate D ----------------------------------------------------- ii) When 2x ...”
October 30, 2018
Brent@GMATPrepNow posted a reply to Carmelo and LeBron participate in a seven-person footrace on in the Problem Solving forum
“Here are three similar questions to practice with: - http://www.beatthegmat.com/counting-six-mobsters-t47167.html - http://www.beatthegmat.com/permutation-and-combination-t273916.html - http://www.beatthegmat.com/permutations-with-waiting-line-t274020.html Cheers, Brent”
October 30, 2018
Brent@GMATPrepNow posted a reply to A certain basket contains 10 apples, 7 of which are red and in the Problem Solving forum
“Jay has demonstrated a solution that involves counting techniques. Here''s one that involves probability rules. Let''s find the probability of selecting a red apple 1st, a red apple 2nd, and a green apple 3rd (aka RRG) P(red apple 1st AND red apple 2nd AND green apple 3rd) = P(red apple 1st) x ...”
October 30, 2018
Brent@GMATPrepNow posted a reply to A salesperson for an automobile dealer earns an annual in the Problem Solving forum
“Total earnings = (base salary) + (commission) base salary = $25,000 commission = 10% of total sales OVER$100,000 = 10% of (x - $100,000) = 0.1(x -$100,000) So, total earnings = $25,000 + 0.1(x -$100,000) Answer: E Cheers, Brent”
October 30, 2018
Brent@GMATPrepNow posted a reply to There are 16 teams in a soccer league, and team plays each in the Problem Solving forum
“Another approach: The question is really asking, "In how many different ways can we create 2-team pairings from 16 teams?" Since the order of the selections does not matter (i.e., selecting teams A and B to play, is the same as selecting teams B and A to play), we can use combinations. ...”
October 30, 2018
Brent@GMATPrepNow posted a reply to There are 16 teams in a soccer league, and team plays each in the Problem Solving forum
“There are 16 teams. If we ask each team, "How many teams did you play?" we''ll find that each team played 15 teams, which gives us a total of 240 games (since 16 x 15 = 240). From here we need to recognize that each game has been COUNTED TWICE. For example, if Team A and Team B play ...”
October 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to The figure above represents a rectangular garden bordered by in the Data Sufficiency forum
“Hi All, We''re told that the figure above represents a rectangular garden bordered by a walkway that has a uniform width of 3 feet. We''re asked for the PERIMETER of the garden. This question can be solved with a mix of Arithmetic and TESTing VALUES. 1) The outer perimeter of the walkway is ...”
October 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to Economist Gmat Tutor review in the The GMAT Avengers Study Group forum
“Hi saurabh_sha, From your post, it sounds like you''re just starting out. Is that true? Have you done any studying for the GMAT so far? If you have, then what materials have you used and how have you scored on your practice CATs/mocks? If you''re just beginning, then it would be a good idea to ...”
October 29, 2018
Brent@GMATPrepNow posted a reply to For integers a, b, c, a/(b - c)=1 what is the value of (b-c) in the Data Sufficiency forum
“ Given: a/(b - c) = 1 Target question: What is the value of (b-c)/b ? This is a good candidate for rephrasing the target question. Aside: Here’s a video with tips on rephrasing the target question: If a/(b - c) = 1, then we know that a = b - c The target question asks "What is the ...”
October 29, 2018
Brent@GMATPrepNow posted a reply to If a and b are integers such that a > b > 1, which of in the Problem Solving forum
“Let''s make an important observation. Some positive multiples of 3 are: 3, 6, 9, 12, . . . . Some positive multiples of 5 are: 5, 10, 15, 20, . . . . Some positive multiples of 12 are: 12, 24, 36, 48, . . . . General observation: the positive multiples of k are all greater than or equal to k ...”
October 29, 2018
Brent@GMATPrepNow posted a new topic called Challenge: If x and y are different positive integers, which in the Problem Solving forum
“If x and y are different positive integers, which of the following COULD be true: i) When x is divided by y, the remainder is x ii) When 2x is divided by y, the remainder is x iii) When x+y is divided by x , the remainder is x-y A) i only B) i & ii only C) i & iii only D) ii & ...”
October 29, 2018
Brent@GMATPrepNow posted a reply to What is the value of x? in the Data Sufficiency forum
“Target question: What is the value of x? Statement 1: (x + 2)(x + 3) = 0 This means that EITHER x = -2 OR x = -3 Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2: x² + 5x + 6 = 0 Factor the left side of the equation to get: (x + 2)(x ...”
October 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to If a certain wheel turns at a constant rate of x revolutions in the Problem Solving forum
“Hi All, We''re told that a certain wheel turns at a constant rate of X revolutions per MINUTE. We''re asked for the number of revolutions that the wheel will make in K SECONDS. This question can be solved in a number of different ways, including by TESTing VALUES. IF.... X=2 and K=60... The ...”
October 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to Jonah drove the first half of a 100-mile trip in x hours and in the Problem Solving forum
“Hi All, We''re told that Jonah drove the first half of a 100-mile trip in X hours and the second half in Y hours. We''re asked which of the following is equal to Jonah’s average speed, in miles per hour, for the entire trip. This question can be solved in a couple of different ways, including ...”
October 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to If a and b are integers such that a > b > 1, which of in the Problem Solving forum
“Hi All, We''re told that A and B are integers such that A > B > 1. We''re asked which of the following CANNOT be a multiple of either A or B. This question can be solved with some basic concept knowledge of the rules behind ''multiples.'' With the exception of "0", multiples ...”
October 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to Both car A and car B set out from their original locations in the Problem Solving forum
“Hi All, We''re told that both car A and car B set out from their original locations at exactly the SAME time and on exactly the SAME route. Car A drives from Morse to Houston at an average speed of 65 miles per hour and Car B drives from Houston to Morse at 50 miles per hour, and then ...”
October 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to The average age of a group of n people is 15 yrs. One more in the Problem Solving forum
“Hi All, We''re told that the average age of a group of N people is 15 yrs and when one more person aged 39 joins the group, the new average is 17 yrs. We''re asked for the value of N. This question can be solved in a number of different ways, including with a bit of ''number logic'' and a little ...”
October 29, 2018
Brent@GMATPrepNow posted a reply to A length of rope is cut into three different lengths. What in the Data Sufficiency forum
“Target question: What is the length of the shortest rope? Let''s assign some variables. Let x = length of shortest rope Let y = length of middle rope Let z = length of longest rope Statement 1: The combined length of the longest two pieces is 6 feet. In other words, y + z = 6 Since we ...”
October 28, 2018
Brent@GMATPrepNow posted a reply to Challenge question: At noon, Joe and a hummingbird leave in the Problem Solving forum
“The main idea here is that all 3 travelers travel for the SAME amount of time. So, let''s first determine the time it takes for Joe and Sue to meet. This is a shrinking gap question. To determine the rate at which the gap shrinks, we''ll ADD the travel speeds of Joe and Sue That is, ...”
October 28, 2018
Brent@GMATPrepNow posted a reply to If x and y are positive, what is the value of y ? in the Data Sufficiency forum
“Target question: What is the value of y? Given: x and y are positive Statement 1: xy is the square of an integer. There are several values of x and y that satisfy this condition. Here are two: Case a: x = 1 and y = 1. Here xy = (1)(1) = 1, which is the square of an integer. In this ...”
October 28, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: At noon, Joe and a hummingbird leave in the Problem Solving forum
“At noon, Joe and a hummingbird leave point A and travel towards point B, which is 12 miles away. At the same time Sue leaves point B and travels toward point A. Joe, Sue and the hummingbird travel at constant speeds of 3 miles per hour, 4 miles per hour, and 84 miles per hour respectively. When the ...”
October 27, 2018
Brent@GMATPrepNow posted a reply to There are n students in a class. Of them, k boys and k girls in the Data Sufficiency forum
“Target question: What is the probability that Harvey will be paired with Jessica? Given: There are n students in a class. Of them, k boys and k girls (including Harvey and Jessica) are selected for a dance performance in which students will dance in pairs of one boy and one girl. ...”
October 27, 2018
Brent@GMATPrepNow posted a reply to When the positive integer n is divided by 25, the remainder in the Data Sufficiency forum
“Target question: What is the value of n? Given: When the positive integer n is divided by 25, the remainder is 13. -------ASIDE------------- When it comes to remainders, we have a nice rule that says: If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, ...”
October 27, 2018
Brent@GMATPrepNow posted a reply to A circus clown is entertaining kids by making balloon in the Problem Solving forum
“As with many probability questions, we can solve this by using counting techniques or rules of probability. Let''s use rules of probability P(balloon animal is an elephant) = 1/4 P(balloon animal is purple) = 1/5 P(clown makes a purple elephant balloon animal) = P(balloon animal is ...”
October 27, 2018
Brent@GMATPrepNow posted a reply to In a right triangle, the longer leg is two more than three in the Problem Solving forum
“In a right triangle, the longest side is called the hypotenuse, and the two sides that meet to create a 90-degree angle are called the legs. So, one leg will be the triangle''s base, and the other leg will be the triangle''s height. Let x = length of the triangle''s base (which, for this ...”
October 27, 2018
Brent@GMATPrepNow posted a reply to If a and b are two positive numbers, what is the product of in the Data Sufficiency forum
“Target question: What is the value of ab? Statement 1: The LCM of a and b is 16 Let''s TEST some values. There are several values of a and b that satisfy statement 1. Here are two: Case a: a = 1 and b = 16 (the LCM of 1 and 16 is 16). In this case, the answer to the target question is ab = ...”
October 26, 2018
Brent@GMATPrepNow posted a reply to In the mid-1960's a newly installed radar warning system in the Sentence Correction forum
“The idiom here is "Mistake x FOR y" So, we can eliminate A, C and E We''re left with B and D D conveys an ambiguous message, because it suggests that the moon was rising for an attack. ELIMINATE D Answer: B Cheers, Brent”
October 26, 2018
Brent@GMATPrepNow posted a reply to What is the largest prime factor of the expression 3^8 − 2 in the Problem Solving forum
“There''s a difference of squares "hiding" in the expression 3^8 − 2^12 That is 3^8 − 2^12 = (3^4)² − (2^6)² We know that: x² - y² = (x + y)(x - y) So, we get: (3^4)² − (2^6)² = (3^4 + 2^6)(3^4 - 2^6) = (81 + 64)(81 - 64) = (145)(17) = (5)(29)(17) The greatest ...”
October 26, 2018
Brent@GMATPrepNow posted a reply to When Q is divided by W, the quotient is R and the remainder in the Problem Solving forum
“-----ASIDE----------------------- There''s a nice rule that says, "If N divided by D equals Q with remainder R, then N = DQ + R" For example, since 17 divided by 5 equals 3 with remainder 2, then we can write 17 = (5)(3) + 2 Likewise, since 53 divided by 10 equals 5 with remainder 3, ...”
October 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to Cars J and K are making the trip from City A to City B. Car in the Problem Solving forum
“Hi All, We''re told that Cars J and K are making the trip from City A to City B. Car J departs from City A 15 minutes AFTER Car K does, both cars travel along the same route and Car K travels at a constant speed that is 80% the constant speed of Car J. We''re asked for the number of MINUTES that ...”
October 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to Carmelo and LeBron participate in a seven-person footrace on in the Problem Solving forum
“Hi All, We''re told that Carmelo and LeBron participate in a seven-person footrace on the basketball court during All-Star Weekend, all seven contestants finish and there are no ties. We''re asked for the number of different arrangements in which Carmelo defeats LeBron. This question is a ...”
October 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to What is the largest prime factor of the expression 3^8 − 2 in the Problem Solving forum
“Hi All, We''re asked to find the LARGEST prime factor of the expression 3^8 - 2^12. Certain Quant questions ultimately come down to ''rewriting'' information that you''ve been given. By rewriting 3^8 and 2^12 as "squared" terms, we''ll have a ''difference of squares'', which is a ...”
October 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT Retake?? in the I just Beat The GMAT! forum
“Hi GMAT_quest92, To start, a 710/Q50 is an outstanding score (it''s right around the 90th percentile overall), so you can comfortably apply to any Business Schools that interest you. Your question - in the broader sense - is about AFTER Business School though - so you might not find the exact ...”
October 26, 2018
Brent@GMATPrepNow posted a reply to Tricky: If AB || DE, and AB = 10, what is the length of DE? in the Data Sufficiency forum
“Let''s first add the given information (and their implications) to the diagram If AB || DE, we know that ∠BAC = ∠CED and ∠ABC = ∠DCE Also, since vertically opposite angles are equal, we know that ∠ACB = ∠DCE https://i.imgur.com/fgDp7Yh.png Now that we''ve identified 3 pairs of ...”
October 26, 2018
Brent@GMATPrepNow posted a new topic called Tricky: If AB || DE, and AB = 10, what is the length of DE? in the Data Sufficiency forum
“https://i.imgur.com/jyTAK6n.png If AB || DE, and AB = 10, what is the length of DE? (1) BC = 6 and CE = 4 (2) DC = 3 and CB = 6 Answer: B Difficulty level: 650 – 700 Source: www.gmatprepnow.com”
October 25, 2018
Brent@GMATPrepNow posted a reply to If |x-6|=2x, then x=? in the Problem Solving forum
“There are 3 steps to solving equations involving ABSOLUTE VALUE: 1. Apply the rule that says: If |x| = k, then x = k or x = -k 2. Solve the resulting equations 3. Plug solutions into original equation to check for extraneous roots Step 1: x - 6 = 2x or x - 6 = -2x case a: x - 6 = 2x Step ...”
October 25, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT with NO background in the GMAT Strategy forum
“Hi Rex, Studying for (and taking) the GMAT in the near-term - years before you might actually need it - is a really smart move. By focusing on the GMAT now, you can avoid the external pressure of a looming deadline and give yourself plenty of time to learn the content, patterns and little ...”
October 25, 2018
Rich.C@EMPOWERgmat.com posted a reply to Where is the registration offer?? in the Suggestions and Feedback forum
“Hi gmat800live, The current free Account that we offer through BeatTheGMAT is not for the full Course - it''s for some specific resources within the Course (including the Grammar Master Course). You can access the entire EMPOWERgmat Course for free through the free trial on our website though. ...”
October 25, 2018
Brent@GMATPrepNow posted a reply to CHALLENGE: 10 teams (A, B, C, D, E, F, G, H, I and J) partic in the Problem Solving forum
“First determine the TOTAL number of games played. We can select 2 teams from 10 teams in 10C2 ways (= 45 ways) So, there will be 45 games in TOTAL IMPORTANT: Each team plays 9 games For each game, 2 points are awarded. So, the TOTAL number of POINTS awarded = (2)(45) = 90 Teams A, B, C, ...”
October 24, 2018
Brent@GMATPrepNow posted a reply to Noelle walks from point A to point B at an average speed of in the Problem Solving forum
“For these kinds of questions, I typically follow the approach that Fabio used (assign a nice value to the distance). But we can also solve the question algebraically: Let d = the distance between Points A and B. Let x = the Noelle''s speed from Point B to Point A. We want the average ...”
October 24, 2018
Brent@GMATPrepNow posted a reply to What is the median number of employees assigned per project in the Data Sufficiency forum
“Target question: What is the median number of employees assigned per project? Statement 1: 25 percent of the projects at Company Z have 4 or more employees assigned to each project. Let''s pretend that there are 4 projects altogether. There are several sets of values that meet this condition. ...”
October 24, 2018
Rich.C@EMPOWERgmat.com posted a reply to In a certain company, the ratio of the number of manager to in the Problem Solving forum
“Hi swerve, We''re told that the ratio of the number of manager to the number of production-line workers is 5 to 72 - and IF 8 additional production-line workers were to be hired, then the ratio of the number of managers to the number of production-line workers would be 5 to 74. We''re asked for ...”
October 23, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT with NO background in the GMAT Strategy forum
“Hi Rex, Since it sounds like you''re just beginning your studies, then it would be a good idea to take a FULL-LENGTH practice CAT Test; you can take 2 for free at www.mba.com (and they come with some additional practice materials). If you want to do a little studying first, so that you can ...”
October 23, 2018
Rich.C@EMPOWERgmat.com posted a reply to Which CATs should I buy? MGMAT/Kaplan/Veritas....etc in the GMAT Strategy forum
“Hi omkarnikte, The scoring algorithm on the Official GMAT is far more complicated than most people realize. Since that algorithm is proprietary, no GMAT company has an exact match for it, thus CAT scores can vary a bit based on the ''biases'' involved in their respective designs. The most ...”
October 23, 2018
Brent@GMATPrepNow posted a reply to In a certain company, the ratio of the number of manager to in the Problem Solving forum
“One option is to use TWO VARIABLES Let M = CURRENT # of managers Let W = CURRENT # of production-line workers The ratio of the number of managers to the number of production-line workers is 5 to 72. So, we can write: M/W = 5/72 Cross multiply to get: 5W = 72M If 8 additional ...”
October 23, 2018
Brent@GMATPrepNow posted a reply to When 100 is divided by positive integer x, the remainder is in the Problem Solving forum
“A fast approach is to find a value of x that meets the given condition: When 100 is divided by positive integer x, the remainder is 2 Well, x = 98 satisfies that condition, since 100 divided by 98 = 1 with remainder 2 What is the remainder when 198 is divided by x? Well, 198 divided by 98 ...”
October 23, 2018
Brent@GMATPrepNow posted a reply to Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum
“Range and Standard Deviation Video: https://www.youtube.com/watch?v=FbAlIjw2fwY Cheers, Brent”
October 23, 2018
Brent@GMATPrepNow posted a reply to Which of the following values, when inserted into the set of in the Problem Solving forum
“Let''s test each answer choice.... A. 2 The new set becomes {2, 5, 10, 12, 13, 17, 22, 22} Since we have an EVEN number of values in the set, the median equals the average of the two middlemost numbers. So, median = (12 + 13)/2 = 25/2 = 12.5 No good - we want the median to be 15 B. ...”
October 23, 2018
Brent@GMATPrepNow posted a reply to What are the coordinates of point B in the figure above ? in the Data Sufficiency forum
“IMPORTANT: For geometry Data Sufficiency questions, we are typically checking to see whether the statements "lock" a particular angle, length, or shape into having just one possible measurement. This concept is discussed in much greater detail in the video below. Target question: What ...”
October 23, 2018
Brent@GMATPrepNow posted a reply to The range of set A is 24 and the range of set B is 20. What in the Problem Solving forum
“If the range of set A is 24, and we add more values (from set B) to set A, then the range of the resulting set must be greater than or equal to 24 (that is, the range of a set cannot get smaller upon adding MORE numbers to that set). For this reason, we can ELIMINATE answer choice A. From ...”
October 23, 2018
Brent@GMATPrepNow posted a reply to If x and y are positive integers, what is the remainder when in the Data Sufficiency forum
“ Given: x and y are positive integers Target question: What is the remainder when x^y is divided by 10? This is a good candidate for rephrasing the target question. Notice that 43 divided by 10 leaves remainder 3, and 127 divided by 10 leaves remainder 7, and 618 divided by 10 leaves ...”
October 23, 2018
Brent@GMATPrepNow posted a new topic called CHALLENGE: 10 teams (A, B, C, D, E, F, G, H, I and J) partic in the Problem Solving forum
“10 teams (A, B, C, D, E, F, G, H, I and J) participate in a soccer tournament in which each team plays every other team once. For each game played, points are awarded to the teams as follows: 0 points for losing the game 1 point each for tying the game 2 points for winning the game After ...”
October 22, 2018
Brent@GMATPrepNow posted a reply to Clarissa will create her summer reading list by randomly in the Problem Solving forum
“Take the task of creating the reading list and break it into stages. Stage 1: Select a book to read 1st There are 10 books to choose from. So, we can complete stage 1 in 10 ways Stage 2: Select a book to read 2nd There are 9 books remaining to choose from (since we already chose a book ...”
October 22, 2018
Brent@GMATPrepNow posted a reply to A jar contains only green pencils and red pencils. If the in the Data Sufficiency forum
“Target question: What percentage of the pencils are green? Given: The jar contains only green pencils and red pencils. Statement 1: The jar contains 75 red pencils. If 75 of the 225 pencils are red, then the remaining 150 pencils are GREEN. 150/225 = 2/3 = 66 2/3%, so the answer to ...”
October 22, 2018
Brent@GMATPrepNow posted a reply to Challenge Question: In the x-y coordinate plane, does line k in the Data Sufficiency forum
“Target question: Does line k have a positive x-intercept? Statement 1: (slope of line k)(y-intercept of line k) > 0 There are two possible cases that that satisfy statement 1: - the slope and y-intercept are both positive - the slope and y-intercept are both negative Let''s examine ...”
October 21, 2018
Brent@GMATPrepNow posted a reply to What is the area of the triangle formed by the intersection in the Problem Solving forum
“Here''s a similar question to practice with: https://www.beatthegmat.com/area-of-triangle-formed-by-intersections-of-3-lines-t276079.html Cheers, Brent”
October 21, 2018
Rich.C@EMPOWERgmat.com posted a reply to Brian purchased a bouquet of 40 flowers for his mother for in the Problem Solving forum
“Hi All, We''re told that Brian purchased a bouquet of 40 flowers for his mother for her birthday; roses cost $1.50 each and tulips cost$1.00 each , and he spent $48 in total buying only those two types of flowers. We''re asked for the number of tulips that he bought. This question can be solved ...” October 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to At a constant speed of 72 kilometers per hour, a vehicle in the Problem Solving forum “Hi All, We''re told that a vehicles travels at a constant speed of 72 kilometers per HOUR. We''re asked what that speed is in kilometers per SECOND. This question is really just about ''unit conversions'', although at a certain point you can use the ''spread'' of the answer choices to your ...” October 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to There are between 100 and 110 cards in a collection of cards in the Problem Solving forum “Hi swerve, We''re told that there are between 100 and 110 cards in a collection of cards. If the cards are counted out 3 at a time, then there are 2 left over, but if they are counted out 4 at a time, then there is 1 left over. We''re asked for the total number of cards in the collection. This ...” October 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to Average of 4 practice test scores is 617; Can I cross 700? in the GMAT Strategy forum “Hi anmkgmat2018, GMAC has publicly stated that the Official Score that you earn on Test Day is within +/- 30 points of actual ability. Assuming a similar ''swing'' in how your CATs function, 3 of your last 4 CAT score results show that you essentially performed the same each time (about 600 +/- ...” October 20, 2018 Brent@GMATPrepNow posted a new topic called Challenge Question: In the x-y coordinate plane, does line k in the Data Sufficiency forum “In the x-y coordinate plane, does line k have a positive x-intercept? (1) (slope of line k)(y-intercept of line k) > 0 (2) (slope of line k) - (y-intercept of line k) < 0 Answer: A Difficulty level: 650 – 700 Source: www.gmatprepnow.com” October 19, 2018 Brent@GMATPrepNow posted a reply to When positive integer N is divided by positive integer J, in the Problem Solving forum “ASIDE: 7/2 = 3 1/2 = 3 + 0.5 = 3.5 Notice that 1 is the remainder when we divide 7 by 2. 23/5 = 4 3/5 = 4 + 0.6 = 4.6 Notice that 3 is the remainder when we divide 23 by 5. 31/4 = 7 3/4 = 7 + 0.75 = 7.75 Notice that 3 is the remainder when we divide 31 by 4. GIVEN: N/J = 134.08 This means ...” October 19, 2018 Brent@GMATPrepNow posted a reply to If there are more than two numbers in a certain list, is in the Data Sufficiency forum “[quote="Jay@ManhattanReview"] Hey Jay, I thought I should point out that case 2 doesn''t satisfy the statement. If we choose 1 and 2 from the set, then the product isn''t 0. That said, {0, 0, 0, 0, 1} meets the given condition, as does {0, 0, 0, 0, 0, 0, 0, 3} etc Cheers, ...” October 19, 2018 Brent@GMATPrepNow posted a reply to If -1<x<0, Which of the following is listed in ascendi in the Problem Solving forum “Let''s test a value of x. If -1 < x < 0, then x COULD equal -1/2 So, x^(-1) = (-1/2)^(-1) = 1/(-1/2) = -2 And, x^(-2) = (-1/2)^(-2) = 1/(-1/2)^2 = 1/(1/4) = 4 And, x^2 = (-1/2)^2 = 1/4 Listed in ascending order, we get: -2, 1/4, 4 In other words, x^(-1), x^2, x^(-2) Answer: A ...” October 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to In a certain math department, students are required to in the Problem Solving forum “Hi All, This question can be solved by TESTing VALUES and taking the proper notes. We''re told that there are two classes (Calculus and Trigonometry) and each is offered in beginner and advanced courses - and that each student is enrolled in just one course. The number of students enrolled in ...” October 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to The rear wheels of a car crossed a certain line 0.5 second in the Problem Solving forum “Hi All, Since this question is wordy and the answers are somewhat "crazy"-looking, it''s possible that you might feel overwhelmed by this prompt. If you stay calm though and do the unit conversions properly, then you can use the answer choices to your advantage (and eliminate most of ...” October 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to When positive integer N is divided by positive integer J, in the Problem Solving forum “Hi All, This question is a ''lift'' of an Official Guide question: OG2018 and OG2019 pg. 170, question #154 We''re told that P and J are positive INTEGERS, when P is divided by J, the REMAINDER is 14 and N/J = 134.08. We''re asked for the value of J. This question has a great ''math ...” October 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to cost of package in the Problem Solving forum “Hi All, We''re told that the cost of sending a package is T cents for the FIRST 1/4 kilogram and T/5 cents for EACH additional 1/4 kilogram or fraction thereof. We''re asked for the cost, in cents, to send a P kilogram package at this rate, where P is an integer greater than 1. This question can ...” October 19, 2018 Brent@GMATPrepNow posted a reply to The latest model of space shuttle can achieve a maximum in the Problem Solving forum “GIVEN: The shuttle can travel 25 miles in 1 second So, the shuttle can travel 1500 miles in 60 seconds In other words, the shuttle can travel 1500 miles in 1 MINUTE So, the shuttle can travel 90,000 miles in 60 MINUTES In other words, the shuttle can travel 90,000 miles in 1 HOUR In other ...” October 18, 2018 Brent@GMATPrepNow posted a reply to A jar contains 6 red marbles and 9 blue marbles. If Evelyn in the Problem Solving forum “P(both are same color) = P(1st marble is red AND 2nd marble is red OR 1st marble is blue AND 2nd marble is blue) = x P(2nd marble is red)] + x P(2nd marble is blue)] = x 5/14] + x 8/14] = x 5/14] + x 8/14] = 10/70 + 24/70 = 34/70 = 17/35 Answer: D Cheers, Brent” October 18, 2018 Brent@GMATPrepNow posted a reply to Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum “Time management strategy for test day Video: https://www.youtube.com/watch?v=bWrUiBT83PQ Cheers, Brent” October 18, 2018 Brent@GMATPrepNow posted a reply to In the x-y coordinate plane, line k passes through in the Problem Solving forum “Notice that, if the line passes through the origin, then the line has slope -4/5 (aka a slope of -0.8), but the line will not have a negative x-intercept Notice that, if the line passes through the (0,4), then the line will have slope 0, BUT the line will not have a negative x-intercept. See ...” October 18, 2018 Brent@GMATPrepNow posted a reply to f[f{f(x)}]=??? in the GMAT Math forum “Useful property: 1/(a/b) = b/a We want: ff(5)}] = f1/6}] f{1/6} = 1/(1 + 1/6) = 1/(7/6) = 6/7 So, ff{1/6}] = f6/7] Finally, f[6/7] = 1/(1 + 6/7) = 1/(13/7) = 7/13 Answer: B (since 21/39 reduces to the equivalent fraction 7/13) Cheers, Brent” October 18, 2018 Brent@GMATPrepNow posted a reply to In the month of August, Pentheus Corporation made$200,000 in the Problem Solving forum
“In the month of August, Pentheus Corporation made $200,000 in profit. Pentheus made 6% of that profit on the second Wednesday of August. 1% of$200,000 = $2,000, so 6% of$200,000 = (6)($2,000) =$12,000 So, the profit on that day = $12,000 If the profits that day were approximately 14.5% of ...” October 18, 2018 Brent@GMATPrepNow posted a reply to Brian purchased a bouquet of 40 flowers for his mother for in the Problem Solving forum “We can solve this question using either 1 variable or 2 variables. Here''s an approach that involves 1 variable: Let t = # of tulips in bouquet So. 40 - t = # of roses in bouquet So, ($1.00)(t) = the total COST of all t tulips And ($1.50)(40 - t) = the total COST of all 40-t roses ...” October 18, 2018 Brent@GMATPrepNow posted a reply to In a town of 8,000 residents, 65 percent of all residents in the Problem Solving forum “Another approach is to use the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions). Here, we have a population of residents, and the two characteristics are: ...” October 17, 2018 Rich.C@EMPOWERgmat.com posted a reply to An automobile manufacturer offers a station wagon with in the Problem Solving forum “Hi All, Sometimes Combination Formula questions come with answers that are relatively small. In this prompt, we know that there are at least 3 options, but no more than 8 options. In these situations, it''s usually pretty easy to "map out" all of the possible combinations, without ...” October 17, 2018 Rich.C@EMPOWERgmat.com posted a reply to Maria wants to send a package overseas. She can either pay in the Data Sufficiency forum “Hi All, We''re told that Maria wants to send a package overseas. She can either pay shipping company A an amount dependent on the DISTANCE of the delivery, or pay shipping company B an amount dependent on the WEIGHT of the package. We''re asked which option is less expensive. 1) Company A ...” October 17, 2018 Brent@GMATPrepNow posted a reply to What is the remainder if 7^10 is divided by 100? in the Problem Solving forum “Sweeeeeeeeeeeeet solution, Scott!! Cheers, Brent” October 17, 2018 Brent@GMATPrepNow posted a reply to If x, y, and z are all nonzero numbers, and x = y + z, which in the Problem Solving forum “NOTE: this is one of those questions that require us to check/test each answer choice. In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top. For more on this strategy, see my article: ...” October 16, 2018 Brent@GMATPrepNow posted a reply to Set X consists of different positive numbers arranged in in the Data Sufficiency forum “Target question: What is the arithmetic mean of set X? Given: Set X consists of different positive numbers arranged in ascending order: K, L, M, 5, 7. K, L and M are consecutive integers This means that EITHER K, L, M = 1, 2, 3 respectively, OR K, L, M = 2, 3, 4 respectively Head straight ...” October 16, 2018 Brent@GMATPrepNow posted a reply to A Martian bat flies at 60 yards per second from its nest to in the Problem Solving forum “Rich''s approach is definitely the best (i.e., fastest) way to solve this question. However, if the answer choices weren''t so sweet, here''s an algebraic solution Average speed = (total distance traveled)/(total travel time) Let''s assign nice values to the distances. These values should ...” October 16, 2018 Brent@GMATPrepNow posted a reply to Charlie takes 2.5 hours to fly from Los Angeles to Mexico in the Problem Solving forum “Average speed = (total distance traveled)/(total travel time) So, Average speed = 1200/2.5 = 2400/5 = 4800/10 = 480 mph Answer: D Cheers, Brent” October 16, 2018 Brent@GMATPrepNow posted a reply to A certain NYC taxi driver has decided to start charging a in the Problem Solving forum “Here''s an algebraic approach: A certain taxi driver charges a rate of r CENTS per person per mile r CENTS = r/100 DOLLARS Since there are 3 people, the rate is (3)(r/100) DOLLARS per mile In other words, the rate is 3r/100 dollars per mile. With a 50% discount, the new rate = ...” October 16, 2018 Brent@GMATPrepNow posted a new topic called In the x-y coordinate plane, line k passes through in the Problem Solving forum “In the x-y coordinate plane, line k passes through the point (5, -4) and has a negative x-intercept. Which of the following COULD be the equation of line k? i) y = -0.4x - 2 ii) y = 2 - 1.2x iii) y = -0.7x - 1.5 A) i only B) ii only C) iii only D) i & ii only E) i & iii only ...” October 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to A rectangular garden is to be twice as long as it is wide. in the Problem Solving forum “Hi All, We''re told that a rectangular garden is to be TWICE as long as it is wide and 360 total yards of fencing, including the gate, will completely enclose the garden. We''re asked for the length of the garden, in yards. This question can be solved in a couple of different ways, including by ...” October 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to A Martian bat flies at 60 yards per second from its nest to in the Problem Solving forum “Hi All, We''re told that a Martian bat flies at 60 yards per second from its nest to a dry lake. When it arrives there, it immediately continues at 45 yards per second to a nearby cave. If the distance between the lake and the cave is HALF the distance between the nest and the lake, we''re asked ...” October 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to Charlie takes 2.5 hours to fly from Los Angeles to Mexico in the Problem Solving forum “Hi All, We''re told that Charlie takes 2.5 hours to fly from Los Angeles to Mexico City, which is a total distance of 1200 miles. We''re asked for the average speed of his plane in miles per hour. This is a straight-forward ''Average Speed'' question, so we can just plug in the numbers at get ...” October 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to Anna and Carol buy CDs and tapes at a music store that sells in the Problem Solving forum “Hi All, We''re told that Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends TWICE as much as Carol spends, buying THREE times as many CDs and the SAME number of tapes. If Carol spends$50.00 on ...”
October 16, 2018
Brent@GMATPrepNow posted a reply to Lindsay can paint 1/x of a certain room in one hour. If in the Problem Solving forum
“This appears to be a slightly different version of this official question: https://www.beatthegmat.com/work-rate-problem-5-t292679.html HOWEVER, unless I''m missing something, the correct answer is missing. Cheers, Brent”
October 15, 2018
Brent@GMATPrepNow posted a reply to How many factors does the number X have? in the Data Sufficiency forum
“Target question: How many factors does the number X have? Statement 1: X is divisible by 47 Let''s TEST some values. There are several values of X that satisfy statement 1. Here are two: Case a: X = 47. The factors of 47 are {1, 47}. So, the answer to the target question is X has 2 ...”
October 15, 2018
Brent@GMATPrepNow posted a reply to A rectangular solid S, has dimensions 4 by 9 by k. What is in the Data Sufficiency forum
“Target question: What is the value of k? Given: A rectangular solid S, has dimensions 4 by 9 by k Statement 1: 4 < k < 9 Since k can have ANY value between 4 and 9, statement 1 is NOT SUFFICIENT Statement 2: A cube of side 6 has the same volume as rectangular solid S. So ...”
October 15, 2018
Brent@GMATPrepNow posted a reply to In the rectangular coordinate system above, if the in the Data Sufficiency forum
“I think that, if this were an official GMAT question, the correct answer would be E (not B), because we aren''t specifically told that the dotted lines are parallel to the x-axis and the y-axis. If those dotted lines aren''t parallel to those axes, the we can''t determine the value of y. ...”
October 15, 2018
Brent@GMATPrepNow posted a reply to In the figure above, triangle ABC is equilateral, and point in the Problem Solving forum
“It may help to add some lines to the diagram. First add lines from the center to the 3 vertices. https://s8.postimg.cc/e412m8uq9/clk1.jpg Aside, we know that each angle is 120º since all three (equivalent) angles must add to 360.º Then draw a circle so that the triangles vertices are on ...”
October 15, 2018
Brent@GMATPrepNow posted a reply to The mass of 1 cubic meter of a substance is 800 kg under in the Problem Solving forum
“GIVEN: 1 cubic METER of the substance weighs 800 KILOGRAMS 1 kg =1,000 grams, so we can write: 1 cubic METER of the substance weighs 800,000 GRAMS 1 cubic meter = 1,000,000, so we can write: 1,000,000 cubic CENTIMETERS of the substance weighs 800,000 GRAMS What is the volume in cubic ...”
October 14, 2018
Brent@GMATPrepNow posted a reply to At a family summer party, each of the x members of the in the Problem Solving forum
“These kinds of questions (Variables in the Answer Choices - VIACs) can be answered algebraically or using the INPUT-OUTPUT approach. The Ash Mo solved the question algebraically, so let''s use the INPUT-OUTPUT approach. It might be useful to choose a number that works well with the fractions ...”
October 13, 2018
Brent@GMATPrepNow posted a reply to When A and B are positive integers, is AB a multiple of 4? in the Data Sufficiency forum
“Target question: Is AB a multiple of 4? Useful property: If N is divisible by d, we can say that N = dk for some integer k For example, if N is divisible by 5, we can say that N = 5k for some integer k Statement 1: The greatest common divisor of A and B is 6 This means that A is divisible ...”
October 13, 2018
Brent@GMATPrepNow posted a reply to How much time did it take a certain car to travel 400 in the Data Sufficiency forum
“Target question: How long did it take to travel 400km To find the travel time, we need to know the average speed traveled. Let x = the average speed traveled. REPHRASED target question: What is the value of x? Statement 1: The car traveled the first 200 km in 2.5 hrs No info about the ...”
October 13, 2018
Brent@GMATPrepNow posted a reply to Challenge question: What is the sum of all in the Problem Solving forum
“Approach #1 If we recognize that x^(2/3) = u-substitution. Let u = x^(1/3) Now take original equation and replace x^(1/3) with u to get: u² - u - 2 = 4 Subtract 4 from both sides to get: to get: u² - u - 6 = 0 Factor: (u - 3)(u + 2) = 0 So, the two solutions here are u = 3 and u = -2 ...”
October 13, 2018
Brent@GMATPrepNow posted a reply to A certain club has 10 members, including Harry. One of the 1 in the Problem Solving forum
“As with many probability questions, we can solve this using counting techniques or probability rules. So, before you embark on one approach, try to determine which one is faster. Here''s the probability approach: P(Harry selected Secretary or Treasurer) = 1 - P(Harry selected president OR ...”
October 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to The probability of winning game A is X and the probability in the Problem Solving forum
“Hi All, We''re told that the probability of winning Game A is X and the probability of winning Game B is Y. We''re asked when playing a SINGLE round of EACH of the two games, what is the probability of winning EXACTLY ONCE. This question can be solved in a couple of different ways, including by ...”
October 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to During 2005, a company produced an average of 2,000 products in the Problem Solving forum
“Hi Swerve, Although the prompt does not explicitly state it, we''re meant to infer that the company continues to produce products EVERY month (in the years 2005 through 2008, inclusive). A 200% increase in the monthly average (from 2005) would be 6,000 products per month for the ENTIRE 4-YEAR ...”
October 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to Probability in the Problem Solving forum
“Hi yoshi97, When posting a GMAT questions, you should make sure to post the 5 answer choices (as sometimes the answers provide a clue as to how to approach the question in the most efficient way possible or a shortcut to avoiding a math-heavy approach). Here we''re told that of all of the ...”
October 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to Full time student in the GMAT Strategy forum
“Hi Purvee, Raising a 490 to a 700+ will likely require at least another 3 months of consistent, guided study, even if you are studying full time - and you''ll have to make significant improvements to how you handle BOTH the Quant and Verbal sections. Thankfully, the GMAT is a consistent, ...”
October 12, 2018
Brent@GMATPrepNow posted a reply to The average age of a group of n people is 15 yrs. One more in the Problem Solving forum
“The average age of a group of n people is 15 yrs. So, (sum of all n ages)/n = 15 Multiply both sides by n to get: (sum of all n ages) = 15n One more person aged 39 joins the group and the new average is 17 yrs. IMPORTANT: Once this 39-year-old is added to the group, the (NEW sum of ages) = ...”
October 12, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: What is the sum of all in the Problem Solving forum
“What is the sum of all solutions to the equation x^(2/3) - x^(1/3) - 2 = 4? A) -35 B) -19 C) 7 D) 19 E) 35 Answer: D Source: www.gmatprepnow.com Difficulty level: 600 - 650”
October 12, 2018
Brent@GMATPrepNow posted a reply to Challenge question: j and k are positive integers in the Data Sufficiency forum
“ Given: n = 10^j + k Target question: Is n divisible by 15? Key concepts: - If n is divisible by 15, then n must be divisible by 3 AND by 5 - If n is divisible by 3, then the sum of n''s digits must be divisible by 3 (for example, we know that 747 is divisible by 3, because 7+4+7 = 18, ...”
October 12, 2018
Brent@GMATPrepNow posted a reply to Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum
“Here''s our video on "if" versus "whether" https://www.youtube.com/watch?v=F2ZHtB088us Cheers, Brent”
October 11, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: j and k are positive integers in the Data Sufficiency forum
“j and k are positive integers, and n = 10^j + k. Is n divisible by 15? (1) j and k are each divisible by 3 (2) j and k are each divisible by 5 Answer: A Difficulty level: 700+ Source: www.gmatprepnow.com”
October 11, 2018
Brent@GMATPrepNow posted a reply to Julie opened a lemonade stand and sold lemonade in two in the Data Sufficiency forum
“This question illustrates a common trap on the GMAT. For statement 2, we''re able to write the equation 52x + 58y = 492 , and in high school we learned that, if we''re given 1 equation with 2 variables, we cannot find the value of either variable. However, if we restrict the variables to ...”
October 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to Full time student in the GMAT Strategy forum
“Hi Purvee, To start, many Test Takers spend 3 months (or more) of consistent study time before they hit their ''peak'' scores, so if you limit your timeframe to just 2 months, then there might be a limit to how much you can improve. Before I can offer you the specific advice that you’re ...”
October 10, 2018
Rich.C@EMPOWERgmat.com posted a reply to Dick and Jane each saved $3000 in 1989. In 1990 Dick save 8 in the Problem Solving forum “Hi All, We''re told that Dick and Jane EACH saved$3,000 in 1989. In 1990, Dick saved 8 percent MORE than he did in 1989, and TOGETHER he and Jane saved a total of $5,000. We''re asked APPROXIMATELY what percent less did Jane save in 1990 than in 1989. This question essentially comes down to the ...” October 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to Angela’s grade was in the 90th percentile out of 80 grades in the Problem Solving forum “Hi swerve, We''re told that Angela’s grade was in the 90th percentile out of 80 grades in her class and in another class of 100 students there were 19 grades higher than Angela’s grade. We''re asked - if nobody had the same grade as Angela’s grade, what percentile was Angela in the two ...” October 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to Quant Question from Princeton Mock: in the GMAT Math forum “Hi Mrrinali, To start, you would likely receive more of a response if you posted your questions in the specific forum for that category. For example, the DS forum is here: https://www.beatthegmat.com/data-sufficiency-f7.html We''re told that Byrne and some of his friends (men and women) go ...” October 10, 2018 Brent@GMATPrepNow posted a reply to There are 5 cars to be displayed in 5 parking spaces with in the Problem Solving forum “Let R, R, R, B, Y represent the cars (by their colors) Notice that the three R''s are identical. So, the question becomes In how many different ways can we arrange the letters R, R, R, B and Y? ----------------ASIDE------------------------------ When we want to arrange a group of items in ...” October 10, 2018 Brent@GMATPrepNow posted a reply to Is x/11 an integer? in the Data Sufficiency forum “Target question: Is x/11 an integer? Statement 1: 5x/11 is an integer Let''s TEST some values There are several values of x that satisfy statement 1. Here are two: Case a: x = 11. Notice that 5x/11 = 5(11)/11 = 5, which is an integer. In this case, x/11 = 11/11 = 1. So, the answer to the ...” October 10, 2018 Brent@GMATPrepNow posted a reply to Dick and Jane each saved$3000 in 1989. In 1990 Dick save 8 in the Problem Solving forum
“Here''s the original wording: In 1990, Dick saved 8 percent more than in 1989 So, Dick''s savings in 1990 = 1.08($3000) =$3240 In 1990, Dick and Jane saved a total of $5,000. So, Jane''s savings =$5,000 - $3240 =$1760 Approximately what percent less did Jane save in 1990 than in ...”
October 10, 2018
Brent@GMATPrepNow posted a reply to Pam and Sue drove in the same car to a business meeting that in the Problem Solving forum
“Travel time = distance/speed Pam''s travel time = 120 miles/60 mph =2 hours Sue''s travel time = 120 miles/50 mph =2.4 hours Time difference = 2.4 hours - 2 hours = 0.4 hours To convert 0.4 hours to minutes, recognize that 1 hour = 60 minutes So, 0.4 hours = (0.4)(60) minutes = 24 minutes ...”
October 10, 2018
Rich.C@EMPOWERgmat.com posted a reply to Bob is training for a fitness competition. In order to in the Problem Solving forum
“Hi All, We''re told that Bob is training for a fitness competition. In order to increase his maximum number of pull-ups, he follows the following routine: he begins with 25 pull-ups, rests for thirty seconds, and then does 24 pull-ups and rests, dropping one pull-up each time (25, 24, 23, etc.) ...”
October 10, 2018
Rich.C@EMPOWERgmat.com posted a reply to A certain car traveled twice as many miles from Town A to in the Problem Solving forum
“Hi All, We''re told that a certain car traveled TWICE as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 12 miles per gallon, and from Town B to Town C, the car averaged 18 miles per gallon. We''re asked for the average MILES PER GALLON ...”
October 10, 2018
Rich.C@EMPOWERgmat.com posted a reply to If Jim drives k miles in 50 minutes, how many minutes will in the Problem Solving forum
“Hi All, We''re told that Jim drives K miles in 50 MINUTES. We''re asked how many MINUTES it will take him to drive 10 miles at the same rate. This question can be solved rather easily by TESTing VALUES. Since K can be any positive value, we can set K = 10. Thus, we know that Jim drives 10 ...”
October 10, 2018
Rich.C@EMPOWERgmat.com posted a reply to If P is an odd integer and (P^2 + Q * R) is an even integer, in the Problem Solving forum
“Hi All, We''re told that If P is an ODD integer and (P^2 + Q * R) is an EVEN integer. We''re asked which of the following MUST be true. This question can be solved with a mix of Number Properties and TESTing VALUES. To start, since P is ODD, we know that P^2 will also be ODD (since ODD^2 = ...”
October 10, 2018
Brent@GMATPrepNow posted a reply to A group of medical interns at Bohemus Medical School want to in the Problem Solving forum
“Take the task of arranging dates and break it into stages. Let A, B, C, D and E represent the 5 girls Stage 1: Select a boy to date girl A We can choose any of the 5 boys, so we can complete stage 1 in 5 ways Stage 2: Select a boy to date girl B Since we already selected a boy in ...”
October 9, 2018
Brent@GMATPrepNow posted a reply to A school library contains 200 hardcover and 300 paperback in the Problem Solving forum
“Another approach is to use the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions). Here, we have a population of books, and the two characteristics are: - ...”
October 9, 2018
Brent@GMATPrepNow posted a reply to Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum
“Here''s our video on the Double Matrix Method for overlapping sets: https://www.youtube.com/watch?v=jK-tiBrrf04 Cheers, Brent”
October 9, 2018
Brent@GMATPrepNow posted a reply to If x, y, and z are positive numbers, Is z between x and y? in the Data Sufficiency forum
“Target question: Is z between x and y? Statement 1: x < 2z < y There are several sets of values of x, y and z that satisfy this condition. Here are two: Case a: x = 3, y = 10, and z = 2, in which case z is NOT between x and y Case b: x = 1, y = 10, and z = 3, in which case z IS ...”
October 9, 2018
Brent@GMATPrepNow posted a reply to If the product of X and Y is a positive number, is the sum in the Data Sufficiency forum
“IMPORTANT CONCEPTS: An ODD power preserves the sign of the base. For example, (-5)^3 = -125 and 2^5 = 32 An EVEN power always yields a positive number (as long as the base ≠ 0 For example, (-5)^4 = 625 and 2^6 = 64 Target question: Is the sum of x and y negative? Given: the ...”
October 9, 2018
Brent@GMATPrepNow posted a reply to DS: Difficulty level: 700, Source: Economist in the GMAT Math forum
“The key word here is must So, if we can find a case in which an answer choice is NOT true, then we can eliminate that answer choice. A. x is odd and y is even. x = 3 and y = 11 satisfies the condition that x/y is not an integer Since y is NOT even, we can ELIMINATE A B. x is odd and y is ...”
October 9, 2018
Brent@GMATPrepNow posted a reply to James invested $5000 in scheme A for 1 year at a simple in the Problem Solving forum “Scheme A Interest = 5% of$5,000 = $250 Scheme B 10% interest compounded semi-annually means that the interest is compounded 2 times (in 1 year) at a rate of 5% each time One option is to apply the compound interest formula, but since we''re only compounding the interest twice, it may be ...” October 9, 2018 Rich.C@EMPOWERgmat.com posted a reply to Alex and Brenda both stand at point X. Alex begins to walk in the Problem Solving forum “Hi All, We''re told that Alex and Brenda both stand at point X, Alex begins to walk away from Brenda in a straight line at a rate of 4 miles per hour - and ONE HOUR later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. We''re asked, if ...” October 9, 2018 Rich.C@EMPOWERgmat.com posted a reply to A farm used two harvesting machines, H and K, to harvest 100 in the Problem Solving forum “Hi All, We''re told that a farm used two harvesting Machines, H and K, to harvest 100 acres of wheat. Harvesting Machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting Machine K was brought in, and harvesting Machines H and K, working together at ...” October 9, 2018 Rich.C@EMPOWERgmat.com posted a reply to A retailer buys cases of 24 shirts for$30/case and then in the Problem Solving forum
“Hi All, We''re told that a retailer buys cases of 24 shirts for $30/case and then resells them in packs of 5 for$8/pack, the retailer sold ALL of the shirts it purchased and profited $84 on the sale. We''re asked for the number of PACKS of shirts that it sold. This question can be approached in ...” October 9, 2018 Rich.C@EMPOWERgmat.com posted a reply to 5 times n is three less than twice n. What number is three in the Problem Solving forum “Hi All, We''re told that 5 times N is three less than twice N. We''re asked to find the number that is three less than twice N. This question is essentially about ''translating'' sentences into equations and a bit of Algebra. "5 times N is three less than twice N"... 5(N) = 2(N) ...” October 9, 2018 Rich.C@EMPOWERgmat.com posted a reply to What is the probability of getting exactly three heads on in the Problem Solving forum “Hi All, We''re asked for the probability of getting EXACTLY three heads on five flips of a fair coin. This question can be approached in a couple of different ways, but they all involve a bit of ''Probability math.'' To start, since each coin has two possible outcomes, there are ...” October 9, 2018 Brent@GMATPrepNow posted a reply to A retailer buys cases of 24 shirts for$30/case and then in the Problem Solving forum
“The key information here is that the retailer sold all the shirts it purchased This is a huge hint! For example, we know that the retailer did NOT buy only 1 case of 24 shirts, because 24 shirts will not divide into packs of 5 shirts. Likewise, we know that the retailer did NOT buy 2 cases of ...”
October 8, 2018
Brent@GMATPrepNow posted a reply to If x^2-3x=10, what is the value of x? in the Data Sufficiency forum
“ Given: x² - 3x = 10 Subtract 10 from both sides to get: x² - 3x - 10 = 0 Factor: (x - 5)(x + 2) = 0 So, EITHER x = 5 OR x = -2 Target question: What is the value of x? Statement 1: x² - 4 = 0 Factor: (x + 2)(x - 2) = 0 So, EITHER x = -2 OR x = 2 When we combine this with the fact ...”
October 8, 2018
Brent@GMATPrepNow posted a reply to What is the greatest prime factor of 1+2+3+….+36? in the Problem Solving forum
“Useful formula: 1 + 2 + 3 + 4 + . . . . + n = (n)(n + 1)/2 So, 1 + 2 + 3 + …. + 36 = (36)(36 + 1)/2 = (36)(37)/2 = (18)(37) = (2)(3)(3)(17) So, the greatest prime factor is 37 Answer: E Cheers, Brent”
October 8, 2018
Rich.C@EMPOWERgmat.com posted a reply to Problem solving: Difficulty level: 700, Source: Jamboree in the Problem Solving forum
“Hi aishwaryav12, We''re told that X is an integer. We''re asked for the number of possible solutions for the equation X^2+5|X|+6=0. This question can approached in a couple of different ways, but you can actually solve it with Number Properties and avoid doing any calculations whatsoever. ...”
October 7, 2018
Rich.C@EMPOWERgmat.com posted a reply to A certain scholarship committee awarded scholarships in the in the Problem Solving forum
“Hi All, We''re told that a certain scholarship committee awarded scholarships in the amounts of $1250,$2500 and $4000 - there are twice as many$2500 scholarships as $4000 and it awarded three times as many$1250 scholarships as $2500 scholarships. A total of$37500 was awarded in $1250 ...” October 7, 2018 Rich.C@EMPOWERgmat.com posted a reply to Working alone, pump A can empty a pool in 3 hours. Working in the Problem Solving forum “Hi All, We''re told that working alone, Pump A can empty a pool in 3 HOURS and Pump B can empty the same pool in 2 HOURS. We''re asked how many MINUTES it would take the two pumps, working together, to empty the pool. This question can be solved in a couple of different ways, including with the ...” October 7, 2018 Brent@GMATPrepNow posted a reply to Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum “In this short (3:25) video, we''ll examine the age-old question When do I use IF and when do we use WHETHER? Video link: https://www.youtube.com/watch?v=F2ZHtB088us Cheers, Brent” October 7, 2018 Brent@GMATPrepNow posted a reply to All assets in Karina's investment portfolio are divided in the Problem Solving forum “Let''s say Karina''s entire portfolio is worth$100 altogether. So, we want to divide this $100 into four integer amounts: w, x, y, z, where w < x < y < z, and we want to minimize the value of z In order to MINIMIZE the value of the z, we must MAXIMIZE the values of w, x, and y. Now ...” October 7, 2018 Brent@GMATPrepNow posted a reply to Beth and Jim each received a salary increase. If Jim's in the Data Sufficiency forum “Target question: Did Beth receive a greater dollar increase in salary than Jim? Given: Jim''s salary was increased by the same percent as Beth''s salary Statement 1: Before the increases, Jim''s salary was greater than$25,000. Since we have no information about Beth, there''s no way to ...”
October 7, 2018
Brent@GMATPrepNow posted a reply to Problem solving: Difficulty level: 700, Source: Jamboree in the Problem Solving forum
“Take: x² + 5|x| + 6 = 0 Subtract 6 from both sides to get: x² + 5|x| = -6 KEY CONCEPT: x² ≥ 0 and |x| ≥ 0 for all values of x In other words, x² will always be greater than or equal to 0 And |x| will always be greater than or equal to 0, which means 5|x| will always be greater than or ...”
October 7, 2018
Brent@GMATPrepNow posted a reply to TRICKY! There are n teams playing in a basketball tournam in the Problem Solving forum
“Good catch regor60! A few people alerted me to this error earlier in the day, but I was on the road and couldn''t respond. Man, I must have solved the question 3 or 4 times to make sure the numbers added up, BUT I never considered the impossibility of more than one team winning every game. ...”
October 7, 2018
Rich.C@EMPOWERgmat.com posted a reply to John tossed a fair coin 3 times. What is the probability in the Problem Solving forum
“Hi All, We''re told that John tossed a fair coin 3 times. We''re asked for the probability that the outcome was "tails" EXACTLY twice. This question can be approached in a number of different ways; sometimes the fastest way to answer these types of Probability questions is to just ...”
October 6, 2018
Brent@GMATPrepNow posted a reply to Is -3*x^3 <= -3? in the Data Sufficiency forum
“Target question: Is (-3)(x³) ≤ -3? This is a good candidate for rephrasing the target question. Take: (-3)(x³) ≤ -3? Divide both sides by -3 to get: x³ ≥ 1 Under what circumstance will x³ be greater than or equal to 1? Well, x³ EQUALS 1 when x = 1 So, x³ will be greater than ...”
October 6, 2018
Brent@GMATPrepNow posted a reply to If x + 5 > 2 and x - 3 < 7, the value of x must be bet in the Problem Solving forum
“GIVEN: x + 5 > 2 Subtract 5 from both sides of the inequality to get: x > -3 Or we can write this as -3 < x GIVEN: x - 3 < 7 Add 3 to both sides of the inequality to get: x < 10 COMBINE the inequalities to get: -3 < x < 10 Answer: A Cheers, Brent”
October 6, 2018
Brent@GMATPrepNow posted a reply to Each year for 4 years, a farmer increased the number of in the Problem Solving forum
“Here''s another approach: First notice that, if the number of trees increases by 1/4, then the new number is 5/4 times the original number. Let x = the # of trees in the orchard at the beginning of the 4 year period. (5/4)x = # of trees after 1 year (5/4)(5/4)x = # of trees after 2 years ...”
October 5, 2018
Brent@GMATPrepNow posted a reply to Health insurance Plan A requires the insured to pay $1000 or in the Problem Solving forum “Here''s an algebraic approach: Let T = TOTAL COST Plan A: Person pays EITHER$1000 OR 0.5T, whichever is LESS Plan B: Person pays $300 plus 20% of anything over$300. In other words, the person pays $300 + 0.2(T - 300) Since Plan A has two different scenarios, we need to test both. That ...” October 5, 2018 Rich.C@EMPOWERgmat.com posted a reply to Health insurance Plan A requires the insured to pay$1000 or in the Problem Solving forum
“Hi All, We''re told that Health insurance Plan A requires the insured to pay $1000 or 50% of total cost, whichever is LOWER. Plan B requires the insured to pay the initial$300, but IT then pays 80% of the cost over $300. We''re asked which of the following is a cost level for which both ...” October 5, 2018 Rich.C@EMPOWERgmat.com posted a reply to Which of the following is closest to the value of in the Problem Solving forum “Hi All, We''re asked which of the following numbers is closest to the value of the given fraction. While it might appear that some of the answers are ''close'' to one another, the reality is that each answer is 10 TIMES greater than the answer immediately below it - meaning that we can use ...” October 5, 2018 Rich.C@EMPOWERgmat.com posted a reply to Greg is training for a marathon by running to and from work in the Problem Solving forum “Hi All, We''re told that Greg is training for a marathon by running to and from work each day, a distance of 12 miles each way; he runs from home to work at an average speed of 6 miles per hour and returns at an average speed of 4 miles per hour. We''re asked for Greg’s average speed, in miles ...” October 5, 2018 Rich.C@EMPOWERgmat.com posted a reply to Vivian drives to her sister's house and back. She takes the in the Problem Solving forum “Hi All, We''re told that Vivian drives to her sister''s house and back. She takes the exact same route both ways; on the trip out she drives an average speed of 50 miles per hour and on the trip back she drives an average speed of 70 miles per hour. We''re asked for her approximate average speed ...” October 5, 2018 Rich.C@EMPOWERgmat.com posted a reply to Andrew bought pizzas for his swim team. Pepperoni pizzas in the Problem Solving forum “Hi All, We''re told that Andrew bought pizzas for his swim team; pepperoni pizzas cost$13 each, combination pizzas cost $17 each and he bought only pepperoni or combination pizzas (spending a total of$184 on pizzas). We''re asked for the TOTAL number of pizzas he bought. This question can be ...”
October 5, 2018
Brent@GMATPrepNow posted a new topic called Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum
“I thought I''d start a thread featuring some of the videos from our course. This first video is one of my favorites. It covers a useful mental-math technique called Multiplying by Doubling and Halving (length 3:25) Video link: https://www.youtube.com/watch?v=D__dWwmgq2w All the best on ...”
October 5, 2018
Brent@GMATPrepNow posted a new topic called TRICKY! There are n teams playing in a basketball tournam in the Problem Solving forum
“Several teams are competing in a basketball tournament, and each team plays every other team once. Each game has exactly 1 winner and 1 loser (no ties). If 4 teams lost exactly 5 games, 5 teams won exactly 3 games, and each of the remaining teams won all of its games, what is the total number of ...”
October 5, 2018
Brent@GMATPrepNow posted a reply to Andrew bought pizzas for his swim team. Pepperoni pizzas in the Problem Solving forum
“This question illustrates the difference between the abstract math and real world math. From the given information, we''re able to create ONE equation: 13p + 17c = 184 In high school, we learned that, if we''re given 1 equation with 2 variables, we cannot find the value of either variable, so ...”
October 5, 2018
Brent@GMATPrepNow posted a reply to ||2-3|-|2-5||=? in the Problem Solving forum
“||2-3|-|2-5|| = ||-1|-|-3|| = |1-3|| = |-2| = 2 Answer: B Cheers, Brent”
October 5, 2018
Brent@GMATPrepNow posted a reply to What is the perimeter of quadrilateral Q? in the Data Sufficiency forum
“Target question: What is the perimeter of quadrilateral Q? If we recognize that each statement alone is not sufficient, we can jump straight to...... Statements 1 and 2 combined There are several quadrilaterals that satisfy BOTH statements. Here are two: Case a: rectangle Q has ...”
October 5, 2018
Rich.C@EMPOWERgmat.com posted a reply to If 5 people, each working at a constant rate can wash 8 cars in the Problem Solving forum
“Hi All, We''re told that 5 people, each working at a constant rate, can wash 8 cars in 40 MINUTES. We''re asked how many people working at that same constant rate are needed to wash A cars in B HOURS. With these types of questions, it often helps to determine the total amount of work needed to ...”
October 5, 2018
Rich.C@EMPOWERgmat.com posted a reply to Barbara invests $2400 in the National Bank at 5%. How much in the Problem Solving forum “Hi All, We''re told that Barbara invests$2400 in the National Bank at 5%. We''re asked how much additional money she must invest at 8% so that the TOTAL annual income will be equal to 6% of her TOTAL investment. This question can be solved in a couple of different ways, including by TESTing THE ...”
October 5, 2018
Rich.C@EMPOWERgmat.com posted a reply to The juice stall at the circus stocked just 2 brands of in the Problem Solving forum
“Hi All, You might recognize this as a ''lift'' of an Official Guide question. You can find that question - and a discussion of how to solve it - here: https://www.beatthegmat.com/what-mistake-am-i-making-in-this-substitution-last-sunday-a-t276293.html GMAT assassins aren''t born, they''re ...”
October 4, 2018
Brent@GMATPrepNow posted a reply to A car salesman earns a base salary of $1,000 per month plus in the Problem Solving forum “Let x = number of cars sold in 1 month So, his pay =$1000 + ($200)(n) If he earned$2,200 in February, how many cars does he have to sell in March in order to double his February earnings? If we double $2,200, we get$4,400 We need: $1,000 + ($200)(n) = $4400 Subtract$1,000 from both sides ...”
October 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to A car salesman earns a base salary of $1,000 per month plus in the Problem Solving forum “Hi All, We''re told that a car salesman earns a base salary of$1,000 per month plus a commission of $200 for each car he sells. He earned$2,200 in February. We''re asked for the number of cars he would have to sell in March in order to DOUBLE his February earnings. This question can be solved ...”
October 4, 2018
Brent@GMATPrepNow posted a reply to If p and q are prime numbers, is pq+1 an odd number? in the Data Sufficiency forum
“Be careful, deloitte247 You haven''t used the information about p and q being prime numbers. Cheers, Brent”
October 4, 2018
Brent@GMATPrepNow posted a reply to In the figure above, A is the center of the circle, DF is 5, in the Problem Solving forum
“As you can see from my solution above, this question is a time-killer (even if you answer it correctly!!) So, if you''re running short on time, you can reduce the correct answers to two options, and make your best guess How so? IMPORTANT: the diagrams in GMAT problem solving questions are DRAWN ...”
October 4, 2018
Brent@GMATPrepNow posted a reply to In the figure above, A is the center of the circle, DF is 5, in the Problem Solving forum
“As you can see from my solution above, this question is a time-killer (even if you answer it correctly) So, if you''re running short on time, you can reduce the correct answers to two options, and make your best guess How so? IMPORTANT: the diagrams in GMAT problem solving questions are DRAWN TO ...”
October 4, 2018
Brent@GMATPrepNow posted a reply to In the figure above, A is the center of the circle, DF is 5, in the Problem Solving forum
“Let x = the length of AF https://i.imgur.com/pT36mTR.png This means AD = x + 5 = radius of the circle. This is convenient, because AE is also a radius of the circle. So, AE must have length x + 5 https://i.imgur.com/aLGqKow.png At this point, we can focus on the RIGHT TRIANGLE below: ...”
October 4, 2018
Brent@GMATPrepNow posted a reply to If p and q are prime numbers, is pq+1 an odd number? in the Data Sufficiency forum
“ Given: p and q are prime numbers Target question: Is pq + 1 an odd number? This is a good candidate for rephrasing the target question. In order for pq + 1 to be odd, we need pq to be EVEN So, we COULD rephrase our target question as Is pq an even number?, but we can do even better than ...”
October 4, 2018
Brent@GMATPrepNow posted a reply to A political candidate collected $1,749 from a fund raising in the Problem Solving forum “In order to MAXIMIZE the number of contributors, we must MINIMIZE the amount that each supporter contributes. So, let''s say that each supporter contributes exactly$50 (which is the minimum about that each supporter contributes) $50 divides into$1,749 a total of 34 times (with $49 left over). ...” October 4, 2018 Brent@GMATPrepNow posted a reply to If x^2 + 3x + 3 = 5x + 6 then x equals in the Problem Solving forum “nonplus2''s approach is the as mine, but a reasonably fast alternative approach is to test the answer choices . Answer choice A suggests that one possible solution is x = -1 So, plug x = -1 into the equation to get: (-1)² + 3(-1) + 3 = 5(-1) + 6 Simplify to get: 1 = 1. Perfect!!! So, x = -1 ...” October 4, 2018 Brent@GMATPrepNow posted a reply to A thin piece of wire 40 meters long is cut into two pieces. in the Problem Solving forum “One approach is to plug in a value for r and see what the output should be. Let''s say r = 0. That is, the radius of the circle = 0 This means, we use the entire 40-meter length of wire to create the square. So, the 4 sides of this square will have length 10, which means the area = 100 So, ...” October 4, 2018 Brent@GMATPrepNow posted a reply to The price of a phone call consists of a standard connection in the Problem Solving forum “A 10-minute call costs$2.90 and a 16-minute call costs $4.40$4.40 - $2.90 =$1.50, and 16 minutes - 10 minutes = 6 minutes So, the extra $1.50 paid for extra 6 minutes of calling So,$0.75 would pay for 3 minutes of calling How much does a 13-minute call cost? A 10-minute call costs ...”
October 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to A hiker walking at a constant rate of 4 miles per hour is in the Problem Solving forum
“Hi All, We''re told that a hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at a constant rate of 20 miles per hour. the cyclist stops & waits for the hiker 5 minutes after passing her while the hiker continues to ...”
October 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to The weights of four packages are 1, 3, 5, and 7pounds, in the Problem Solving forum
“Hi All, We''re told that the weights of four packages are 1, 3, 5, and 7 pounds, respectively. We''re asked which of the following CANNOT be the total weight, in pounds, of ANY combination of the packages. This question comes down to basic Arithmetic - and you might find that it''s easiest to ...”
October 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to If Max can complete a job in 4 hours and Nick can complete in the Problem Solving forum
“Hi All, We''re told that Max can complete a job in 4 hours and Nick can complete the same job in 6 hours. We''re asked how many FEWER hours it would take Max and Nick working together to complete the job than Max alone needs to complete the job. This question can be solved in a couple of ...”
October 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to 580 (Q44 V26) to 670 (Q45 V37) in 2 months! in the I just Beat The GMAT! forum
“Hi auljaj, A 670/Q45 is a strong score - and a fantastic improvement over your first attempt! When are you planning to apply to Business School? And what Schools are you planning to apply to? Congrats again on all of your success so far! Another GMAT Assassin has been made! Rich”
October 4, 2018
Brent@GMATPrepNow posted a reply to How many ounces of water must be added to 10 ounces of 3 % in the Problem Solving forum
“The original solution contains 10 ounces 3% of that is alcohol 3% of 10 = 0.3 So, the original solution contains 0.3 ounces of alcohol Let x = the amount of water (in ounces) that must be added So, the volume of the RESULTING solution = 10 + x ounces IMPORTANT: Since we''re adding water ...”
October 3, 2018
Brent@GMATPrepNow posted a reply to Ken has a group of coins worth $6.70. He has four times as m in the Problem Solving forum “Let x = the NUMBER of dimes So, 4x = the NUMBER of nickels And 4x - 20 = the NUMBER of quarters One dime is worth$0.1, so 0.10x = the total VALUE of the dimes (in dollars) Likewise, (0.05)(4x) = the total VALUE of the nickels (in dollars) And (0.25)(4x - 20) = the total VALUE of the ...”
October 3, 2018
Brent@GMATPrepNow posted a reply to Goku and Vegeta are waiting in a line, are there more than 1 in the Data Sufficiency forum
“Target question: Are there more than 10 people waiting in the line? Head straight to... Statements 1 and 2 combined There are several scenarios that satisfy BOTH statements. Here are two: Case a: BACK A, B, C, D, Vegeta, Picollo, Goku, E, F, G, H FRONT. In this case, the answer to the ...”
October 3, 2018
Brent@GMATPrepNow posted a reply to Vivian drives to her sister's house and back. She takes the in the Problem Solving forum
“One approach is to assign a "nice" value (one that works well with 50 mph and 70 mph) to the distance her sister''s house. So, let''s say the distance is 350 miles Average speed = (total distance traveled)/(total travel time) TOTAL distance = 350 miles + 350 miles = 700 miles ...”
October 3, 2018
Brent@GMATPrepNow posted a reply to Tom’s Mom is five times as old as him. In 6 years, Tom’ in the Problem Solving forum
“Tom’s Mom is five times as old as him. Let T = Tom''s PRESENT age So, 5T = Mom''s PRESENT age This also means: Let T + 6= Tom''s age IN 6 YEARS and 5T + 6 = Mom''s age IN 6 YEARS In 6 years, Tom’s Mom will be three times as old as Tom. In other words: (Mom''s age IN 6 YEARS) = ...”
October 3, 2018
Brent@GMATPrepNow posted a reply to A “descending number” is a three-digit number, such that in the Problem Solving forum
“Let''s use some counting methods to solve this. P(selected number is "descending") = total # of descending numbers/total # of 3-digit numbers total # of 3-digit numbers 3-digit numbers go from 100 to 999 inclusive A nice rule says: the number of integers from x to y inclusive ...”
October 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to A garden center sells a certain grass seed in 5-pound bags in the Problem Solving forum
“Hi All, We''re told that a garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at$20.43 per bag, and 25-pound bags at $32.25 per bag. We''re asked, if a customer is to buy AT LEAST 65 pounds of the grass seed, but NO MORE THAN 80 pounds, what is the least ...” October 3, 2018 Rich.C@EMPOWERgmat.com posted a reply to If Machine X can make 40 widgets in 8 minutes, how many in the Problem Solving forum “Hi All, We''re told that Machine X can make 40 widgets in 8 minutes. We''re asked for the number of widgets it can make in 1 hour. This question is a straight-forward rate question and you can probably see that you can quickly determine the rate (in widgets/minute) of the Machine. 40 ...” October 3, 2018 Rich.C@EMPOWERgmat.com posted a reply to During a two-week period, the price of an ounce of silver in the Problem Solving forum “Hi All, We''re told that during a two-week period, the price of an ounce of silver INCREASED by 25 percent by the end of the first week and then DECREASED by 20 percent of this new price by the end of the second week. We''re asked, if the price of silver was X dollars per ounce at the beginning ...” October 3, 2018 Rich.C@EMPOWERgmat.com posted a reply to Last year, Andre's company gave him a year-end bonus that in the Problem Solving forum “Hi All, We''re told that last year, Andre''s company gave him a year-end bonus that was between$160 and $200 and this year, his year-end bonus was 200% GREATER than it was the previous year. We''re asked which of the following COULD be the value of Andre''s bonus this year, rounded to the ...” October 2, 2018 Rich.C@EMPOWERgmat.com posted a reply to The price of a phone call consists of a standard connection in the Problem Solving forum “Hi All, We''re told that the price of a phone call consists of a standard connection fee, which is constant, plus a per minute charge, a 10-minute call costs$2.90 and a 16-minute call costs $4.40. We''re asked for the cost of a 13-minute call. This question can be solved in a couple of ...” October 2, 2018 Brent@GMATPrepNow posted a reply to Challenge question: If y < 0 < x, is x/y > -1? in the Data Sufficiency forum “I checked the link you provided, Fabio. For me, the response from the test-makers that sticks out the most is this: "it is highly unlikely that you would come across a question with independently sufficient statements that contradict each other" I think the person answering the ...” October 2, 2018 Brent@GMATPrepNow posted a reply to Challenge question: If y < 0 < x, is x/y > -1? in the Data Sufficiency forum “My apologies. I posted my question without noticing its FATAL FLAW. KEY CONCEPT: On the GMAT, the two statements in a Data Sufficiency question will never contradict each other (for more on this, see the video below) Let''s examine the main issue. Statement 1: x + y > 0 Okay, so x + ...” October 2, 2018 Brent@GMATPrepNow posted a reply to During a two-week period, the price of an ounce of silver in the Problem Solving forum “Another approach is to test a "nice" value x A great value would be$80 (since we get $100 after we increase$80 by 25%) So, x = $80 In other words, the price of silver was$80 per ounce at the beginning of the two-week period. During a two-week period, the price of an ounce of ...”
October 2, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: If y < 0 < x, is x/y > -1? in the Data Sufficiency forum
“If y < 0 < x, is x/y > -1? (1) x + y > 0 (2) 3x < -2y Answer: D Difficulty level: 600 - 650 Source: www.gmatprepnow.com”
October 2, 2018
Brent@GMATPrepNow posted a reply to For all values of x and y , let x&y be defined by x& in the Problem Solving forum
“Nice question! GIVEN: x&y = xy − x + 1 So, take the equation: (a − 2)&a = a&(a + 1) Apply rules to get the equation: (a - 2)(a) - (a - 2) + 1 = (a)(a + 1) - a + 1 Expand: a² - 2a - a + 2 + 1 = a² + a - a + 1 Simplify: a² - 3a + 3 = a² + 1 Subtract a² from both sides ...”
October 2, 2018
Brent@GMATPrepNow posted a reply to If 3 different numbers are selected from the first 8 prime n in the Problem Solving forum
“The first 8 prime numbers are: {2, 3, 5, 7, 11, 13, 17, 19} Notice that only one prime number is EVEN, and the remaining seven numbers are ODD. Also notice that the sum of 3 numbers will be EVEN only if one of the three selected numbers is 2 So, the question is really asking "What is the ...”
October 2, 2018
Brent@GMATPrepNow posted a reply to The symbol Ω represents one of the following operations: ad in the Data Sufficiency forum
“Target question: What is the value of 1 Ω 1? Given: Ω represents one of the following operations: addition, subtraction, multiplication or division. Statement 1: 2 Ω 2 = 4 2 - 2 = 0, so Ω CANNOT represent subtraction. 2 ÷ 2 = 1, so Ω CANNOT represent division. 2 + 2 = 4, so ...”
October 2, 2018
Brent@GMATPrepNow posted a reply to On a 20 mile course, Pat bicycled at an average rate of 30 in the Problem Solving forum
“Let''s start with a WORD EQUATION (Distance traveled at 30 mph) + (Distance traveled at 8 mph) = 20 miles Distance = (rate)(time) Let t = the time (in hours) Pat spent running at 8 mph Aside: 12 minutes = 1/5 hours So, we get: (30 miles per hour)(1/5 hours) + (8 miles per hour)(t ...”
October 2, 2018
Brent@GMATPrepNow posted a reply to The greatest common factor of 16 and the positive integer n in the Problem Solving forum
“Now, we can use ELIMINATION to find the correct answer. Goal: Find GCF of 210 and n. 210 = (2)(3)(5)(7) The greatest common factor of 16 and the positive integer n is 4 16 = (2)(2)(2)(2) 4 = (2)(2) So, we know for certain that the PRIME FACTORIZATION of n has TWO 2''s (and no more than ...”
October 2, 2018
Brent@GMATPrepNow posted a reply to Jan lives x floors above the ground floor of a highrise in the Problem Solving forum
“Let''s first convert 7 minutes to SECONDS in order to have uniform units of measurement. 7 minutes = 420 seconds Let''s start with a word equation Jan''s travel time (in seconds) WALKING down = Jan''s travel time (in seconds) via ELEVATOR + 420 seconds It takes her 30 seconds per floor to ...”
October 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to Working continuously 24 hours a day, a factory bottles Soda in the Problem Solving forum
“Hi All, We''re told that working continuously 24 hours a day, a factory bottles Soda Q at a rate of 500 liters per second and Soda V at a rate of 300 liters per second and that TWICE as many bottles of Soda V as of Soda Q are filled at the factory each day. We''re asked for the ratio of the ...”
October 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to Jan lives x floors above the ground floor of a highrise in the Problem Solving forum
“Hi All, We''re told that Jan lives X floors above the ground floor of a high-rise building; it takes her 30 SECONDS per floor to walk down the steps and 2 SECONDS per floor to ride the elevator. We''re asked if it takes Jan the SAME amount of time to walk down the steps to the ground floor as to ...”
October 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to The figure above represents a rectangular tank. How many in the Problem Solving forum
“Hi All, We''re told that the figure above represents a rectangular tank (with a length of 1200 cm, a width of 960 cm and a height of 120 cm). We''re asked for the number of cubic centimeters of water are in the tank when the water level is 10 centimeters BELOW the top of the tank. This question ...”
October 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to At a certain committee meeting only associate professors and in the Problem Solving forum
“Hi All, This question actually has a fantastic shortcut built into it that allows you to avoid almost all the long-winded math: Associates bring 2 pencils and 1 chart; a total of 3 items Assistants bring 1 pencil and 2 charts; a total of 3 items There are 10 pencils and 11 charts; a ...”
October 1, 2018
Brent@GMATPrepNow posted a reply to Five letters A, P, P, L and E are listed in a row. How many in the Problem Solving forum
“Here''s an approach that doesn''t require us to subtract the bad arrangements. Take the task of arranging the 5 letters and break it into stages. Stage 1: Arrange the letters A, L, E in a row We can arrange n unique objects in n! ways. So, we can arrange the 3 letters in 3! ways (= 6 ...”
October 1, 2018
Brent@GMATPrepNow posted a reply to Jevan must paint 3 rooms in a house. Room A can be painted in the Problem Solving forum
“Take the task of painting the 3 rooms and break it into stages. Stage 1: Select a color for Room A Room A can be painted orange, red or green So, we can complete stage 1 in 3 ways Stage 2: Select a color for Room B Room B can be painted orange, white or red. So we can complete this ...”
October 1, 2018
Brent@GMATPrepNow posted a reply to Improve My Overall Score in the Last Leg of Preparation? in the GMAT Strategy forum
“The resource labeled "OG2018" has questions from the 2018 OG See: https://www.beatthegmat.com/mba/official-guide-2018-library Cheers, Brent”
October 1, 2018
Brent@GMATPrepNow posted a reply to Improve My Overall Score in the Last Leg of Preparation? in the GMAT Strategy forum
“Look no further<i class="em em-grinning"></i> : https://www.beatthegmat.com/official-guide-question-library-t296755.html Cheers, Brent”
October 1, 2018
Brent@GMATPrepNow posted a reply to If m and n are integers, is mn an odd integer? in the Data Sufficiency forum
“Some important rules: #1. ODD +/- ODD = EVEN #2. ODD +/- EVEN = ODD #3. EVEN +/- EVEN = EVEN #4. (ODD)(ODD) = ODD #5. (ODD)(EVEN) = EVEN #6. (EVEN)(EVEN) = EVEN Target question: Is mn an odd integer? Given: m and n are integers Statement 1: m(n+1) is even Let''s test some ...”
October 1, 2018
Brent@GMATPrepNow posted a reply to If n is an integer, is n even? in the Data Sufficiency forum
“Some important rules: 1. ODD +/- ODD = EVEN 2. EVEN +/- ODD = ODD 3. EVEN +/- EVEN = EVEN 4. (ODD)(ODD) = ODD 5. (ODD)(EVEN) = EVEN 6. (EVEN)(EVEN) = EVEN Target question: Is integer n EVEN? Statement 1: n² - 1 is an odd integer n² - 1 = (n + 1)(n - 1) So, statement 1 is ...”
October 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to Alice and Bruce each bought a refrigerator... in the Problem Solving forum
“Hi All, We''re told that Alice and Bruce each bought a refrigerator, and the sum of their purchases was $900. We''re also told that TWICE of what Alice paid was$75 MORE than what Bruce paid. We''re asked what did Alice paid for her refrigerator. This question can be solved in a couple of ...”
September 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to Which of the following points is the intersection between in the Problem Solving forum
“Hi All, We''re asked which of the following points is the intersection between the lines y = 3x + 6 and y = -2x - 4. this question can be solved in a number of different ways. Sometimes, the fastest way to answer a question is to use ''brute force''; the five answers are co-ordinates and we know ...”
September 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to If x and y are positive integers greater than 1 such that x in the Problem Solving forum
“Hi All, We''re told that X and Y are positive integers GREATER than 1 such that (X - Y) is an EVEN integer and X/Y is an EVEN integer. We''re asked which of the following numbers must be NON-PRIME integers. This question can be solved with a mix of Number Property rules and TESTing VALUES. To ...”
September 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to A and B can complete a task in 20 days. B and C can complete in the Problem Solving forum
“Hi All, We''re told that A and B can complete a task in 20 days. B and C can complete the same task in 30 days and A and C can complete the task in 40 days. We''re asked to arrange the ''efficiencies'' of A, B, and C in descending order. This is actually more of a ''logic question'' than a ...”
September 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to Last year, a certain public transportation system sold an in the Problem Solving forum
“Hi All, We''re told that last year, a certain public transportation system sold an average (arithmetic mean) of 41,000 tickets per day on weekdays (Monday through Friday) and an average of 18,000 tickets per day on Saturday and Sunday. We''re asked which of the following is closest to the total ...”
September 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to The microcurrent through the electrode in a delicate circuit in the Problem Solving forum
“Hi All, We''re told that the microcurrent through the electrode in a delicate circuit is usually held constant at (3.6)(10^(-8)) amps and, because of a defect in another part of the circuit, the current was 1,000 times SMALLER. What was the current, in amps, caused by this defect. This question ...”
September 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to Improve My Overall Score in the Last Leg of Preparation? in the GMAT Strategy forum
“Hi Mrrinali, GMAC has publicly stated that the Official Score that you earn on Test Day is within +/- 30 points of actual ability. Assuming a similar ''swing'' in how your CATs function, your 2 CAT score results show that you essentially performed the same each time (about 630 +/- a few points). ...”
September 30, 2018
Brent@GMATPrepNow posted a reply to When positive integer n is divided by 13, the remainder is 2 in the Problem Solving forum
“When it comes to remainders, we have a nice rule that says: If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), ...”
September 30, 2018
Brent@GMATPrepNow posted a reply to A marketing firm determined that, of 200 households surveyed in the Problem Solving forum
“We can also solve this question using the Double Matrix Method. Here, we have a population of 200 households , and the two characteristics are: - using or not using Brand A soap - using or not using Brand B soap So, we can set up our matrix as follows (where "~" represents ...”
September 30, 2018
Brent@GMATPrepNow posted a reply to Lindsay can paint 1/x of a certain room in 20 minutes. What in the Problem Solving forum
“Given: Lindsay can paint 1/x of a certain room in 20 minutes So, in 1 HOUR, Lindsay can paint 3/x of the room Given: Lindsay and Joseph can paint the room in 1 HOUR. During that one hour, Lindsay can paint 3/x of the room. So, during that 1 HOUR, Joseph must paint the rest (whatever Lindsay ...”
September 30, 2018
Brent@GMATPrepNow posted a reply to PS : In a certain clothing store in the Problem Solving forum
“Let C = price of one pair of the CHEAPEST socks So, 2C - 1 = price of one pair of the MOST EXPENSIVE socks A customer notices that for exactly $18, she can buy three fewer pairs of the most expensive socks than the cheapest socks. As a word equation, we can write: (# of pairs of EXPENSIVE ...” September 30, 2018 Brent@GMATPrepNow posted a reply to If x and y are positive integers, is x/y < (x+5)/(y+5)? in the Data Sufficiency forum “ Given: x and y are positive integers Target question: Is x/y < (x+5)/(y+5)? This is a good candidate for rephrasing the target question. Since y is POSITIVE, we can safely take the inequality x/y < (x+5)/(y+5) and multiply both sides by y. When we do this, we get: x < ...” September 30, 2018 Brent@GMATPrepNow posted a reply to If x is the greatest common factor of 36 and 96, what is the in the Problem Solving forum “Mitch''s solution is the approach I''d take, but another way to answer this question is to simply LIST the factors of each value and then find the GREATEST factor they have in common. When listing factors, it''s best to do so in pairs of values with a given product (either 36 or 96). Here''s what ...” September 30, 2018 Brent@GMATPrepNow posted a reply to If a photocopier makes 2 copies in 1313 second, then, at the in the Problem Solving forum “We can also solve this question with equivalent ratios We''ll first convert 4 minutes to SECONDS in order to use the same units of measurement throughout the solution. 1 minute = 60 seconds So, 4 minutes = 240 seconds. Now let''s set up and equation using the ratio # of copies/time in ...” September 30, 2018 Brent@GMATPrepNow posted a reply to A number of people each wrote down one of the first 30 posit in the Data Sufficiency forum “Target question: Were any of the integers written down by more than one of the people? Given: A number of people each wrote down one of the first 30 positive integers. Statement 1: The number of people who wrote down an integer was greater than 40. If there were exactly 30 people, ...” September 29, 2018 Brent@GMATPrepNow posted a reply to A computer programmer needs to print 148 documents. The in the Problem Solving forum “We can also answer this question using a step-by-step approach based on number sense. IMPORTANT: The word approximately typically suggests that we can be somewhat aggressive with our estimation There are 148 documents and the documents have an average length of 10 pages So, the TOTAL number ...” September 29, 2018 Brent@GMATPrepNow posted a reply to List M consists of 50 decimals, each of which has a value be in the Problem Solving forum “Let''s examine the EXTREME CASES S - T = x percent of T So, S - T = (x/100)T Divide both sides by to get: (S - T)/T = x/100 Multiply both sides by 100 to get: x = 100(S - T)/T First, we we''ll MINIMIZE the value of x by minimizing the value of S - T and maximizing the value of T. This ...” September 29, 2018 Brent@GMATPrepNow posted a reply to If a child flips a coin five times in a row, what is the in the Problem Solving forum “If a coin is flipped 5 times in a row, there are 32 possible outcomes (HHTTH, HTHTT, TTTTT, etc) How did we get 32? Well, there are 2 possible outcomes for the 1st coin flip, 2 possible outcomes for the 2nd coin flip, 2 outcomes for the 3rd flip, 2 outcomes for the 4th flip, and 2 outcomes for ...” September 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to If x and y are integers, is the product xy odd? in the Data Sufficiency forum “Hi All, We''re told that X and Y are INTEGERS. We''re asked if (X)(Y) is ODD. This is a YES/NO question and can be solved with Number Properties and TESTing VALUES. 1) X = -5 With the information in Fact 1, we know the value of X (and that it''s ODD). However, we don''t know whether Y is ...” September 28, 2018 Rich.C@EMPOWERgmat.com posted a reply to If a, b & c are integers, is abc odd? in the Data Sufficiency forum “Hi AbhishekRyu, We''re told that A, B and C are INTEGERS. We''re asked if (A)(B)(C) is ODD. This is a YES/NO question and can be solved with Number Properties and TESTing VALUES. 1) (A)(B) is ODD Since A and B are both integers, the only way the product of those two numbers to be odd is ...” September 28, 2018 Brent@GMATPrepNow posted a reply to R and S can complete a certain job in 6 and 4 days in the Problem Solving forum “Let''s assign a "nice" value to the job, a value that works well with the given values (6 days and 4 days ). So, let''s say the ENTIRE job is to make 24 widgets R can complete a certain job in 6 days In other words, R can make 24 widgets in 6 days So, R can make 4 widgets per day ...” September 28, 2018 Rich.C@EMPOWERgmat.com posted a reply to The usage of sugar of a family of 3 adults and 2 children in the Problem Solving forum “Hi All, We''re told that the usage of sugar of a family of 3 adults and 2 children was 13 kg in a certain month and the monthly AVERAGE usage of sugar for an adult is 3 kg and for a child is 1 kg. We''re asked by what percent THIS specific month’s sugar consumption was more or less than the ...” September 28, 2018 Rich.C@EMPOWERgmat.com posted a reply to A lecture course consists of 595 students. The students are in the Problem Solving forum “Hi All, We''re told that a lecture course consists of 595 students and that the students are to be divided into discussion sections, each with an EQUAL number of students. We''re asked which of the following CANNOT be the number of students in a discussion section. This question is really just ...” September 28, 2018 Rich.C@EMPOWERgmat.com posted a reply to If x and y are different prime numbers, each greater than 2, in the Problem Solving forum “Hi All, We''re told that a X and Y are DIFFERENT PRIME numbers, each GREATER than 2. We''re asked which of the following must be true (which really means "which of these is ALWAYS true no matter how many different examples you can come up with?"). This question can be solved used ...” September 28, 2018 Rich.C@EMPOWERgmat.com posted a reply to A certain liquid passes through a drain at a rate of w/20 ga in the Problem Solving forum “Hi All, We''re told that a certain liquid passes through a drain at a rate of W/20 gallons every X SECONDS. We''re asked how many MINUTES it would take Y gallons to pass through the drain. This question can be solved in a number of different ways, including by TESTing VALUES. IF.... W=20 ...” September 28, 2018 Brent@GMATPrepNow posted a reply to An engagement team consists of a project manager, team in the Problem Solving forum “For this question, let''s first ignore the restriction regarding the two consultants who refuse to work together and find the total number of different teams. Then we''ll determine how many of those teams break the rule about the two consultants. In other words, # of "good" teams = ...” September 28, 2018 Rich.C@EMPOWERgmat.com posted a reply to Time for me to Stop Studying on my Own? - GMAT Quant Help in the GMAT Math forum “Hi andyaf, To start, a 500 is a decent initial CAT Score (the average Score on the Official GMAT hovers around 550 most years). That having been said, it will take a LOT of work to raise a 500 to 750+, and you''ll have to make significant improvements to how you handle BOTH the Quant and ...” September 27, 2018 Brent@GMATPrepNow posted a reply to In 2004, 2,400 condos sold, 15% of the total housing units in the Problem Solving forum “We can also solve this with a little number sense If 15% of the units sold WERE condos, then 85% of the units sold new NOT condos. GIVEN: 2,400 represents 15% of the total housing units sold that year So, 4,800 must represent 30% of the total housing units sold that year And 9,600 must ...” September 27, 2018 Brent@GMATPrepNow posted a reply to In 2004, 2,400 condos sold, 15% of the total housing units in the Problem Solving forum “We can solve the question with equivalent ratios If 15% of the units sold WERE condos, then 85% of the units sold new NOT condos. So we want to determine the number of sold units that represent 85% of all units sold We''ll use the ratio: (number of units sold)/(percent of units sold) Let x = ...” September 27, 2018 Rich.C@EMPOWERgmat.com posted a reply to At a dinner party 5 people are to be seated around a in the Problem Solving forum “Hi All, We''re told that 5 people are to be seated around a circular table and that two sitting arrangements are considered different only when the positions of the people are different relative to each other. We''re asked for the total number of possible sitting arrangements of the group. ...” September 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to In Dives Corporation, 75% of the employees are customer in the Problem Solving forum “Hi All, We''re told that in the Dives Corporation, 75% of the employees are customer service representatives, 15% are programmers, and 10% are managers, the customer service representatives have an average salary of$60,000, and the programmers have an average salary of $100,000. We''re asked if ...” September 26, 2018 Brent@GMATPrepNow posted a reply to A set of numbers has an average of 50. If the largest elemen in the Problem Solving forum “The largest element is 4 greater than 3 times the smallest element Let x = the smallest number in the set. So, 3x + 4 = the largest number in the set. So, the set looks something like this {x, ?, ?, . . . . ?, 3x+4} The key to this question is that the AVERAGE = 50 Since all of the answer ...” September 26, 2018 Brent@GMATPrepNow posted a reply to A set of numbers has an average of 50. If the largest elemen in the Problem Solving forum “The largest element is 4 greater than 3 times the smallest element Let x = the smallest number in the set. So, 3x + 4 = the largest number in the set. So, the set looks something like this {x, ?, ?, . . . . ?, 3x+4} The key to this question is that the AVERAGE = 50 Since all of the answer ...” September 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to In the xy-plane, if line k has negative slope, is the in the Data Sufficiency forum “Hi All, We''re told that in the xy-plane, Line K has NEGATIVE slope. We''re asked if the y-intercept of Line K is positive. This is a YES/NO question. It can be solved in a couple of different ways, including by TESTing VALUES. To start, with a negative slope, BOTH the x-intercept and ...” September 25, 2018 Rich.C@EMPOWERgmat.com posted a reply to 12 years out of college, GMAT study plan? in the GMAT Strategy forum “Hi KDR83, That''s great news - especially considering the time off you took over the Summer. To clarify things a bit though, was this a CAT that you had taken before (or did you see any questions on it that you had previously answered?)? GMAT assassins aren''t born, they''re made, Rich” September 25, 2018 Brent@GMATPrepNow posted a reply to The sequence Sn has the terms S1=1, S2=2, S3=6, S4=15, S5=31 in the Problem Solving forum “If you don''t spot a pattern, you can always TEST the answer choices We want to find Sn - Sn-1 So, let''s test a value of n. How about n = 2 So, we want to find the value of S2 - S1 Well, we''re told that S2 = 2 and S1 = 1 So, S2 - S1 = 2 - 1 = 1 So, when n = 2, the answer to the ...” September 25, 2018 Brent@GMATPrepNow posted a reply to A and B represent digits in the Problem Solving forum “I''m not saying that 68+8=86 I''m saying that, if A=6 and B=8, then our equation (AB + B = BA) becomes 68 + 8 = 86 Since this equation is faulty, we can eliminate answer choice B Cheers, Brent” September 24, 2018 Rich.C@EMPOWERgmat.com posted a reply to Machine A and Machine B can produce 1 widget in 3 hours work in the Problem Solving forum “Hi All, This question is a bit more complex than a typical Work question, but you can still use the Work Formula to solve it. Work = (A)(B)/(A+B) where A and B are the speeds of the two individual machines From the prompt, we know that Machine A and Machine B, working together, can produce ...” September 24, 2018 Rich.C@EMPOWERgmat.com posted a reply to If six coins are flipped simultaneously, the probability of in the Problem Solving forum “Hi All, We''re told that six coins are flipped simultaneously. We''re asked which probability is closest to getting AT LEAST one heads and AT LEAST one tails. This question comes down to a bit of probability math (which is essentially just about doing the necessary Arithmetic). With 6 coins, ...” September 24, 2018 Rich.C@EMPOWERgmat.com posted a reply to A conference room has two analog (12-hour format) clocks, in the Problem Solving forum “Hi All, We''re told that a conference room has two analog (12-hour format) clocks, one on the north wall and one on the south wall; the clock on the north wall LOSES 30 seconds per HOUR, and the clock on the south wall GAINS 15 seconds per HOUR. We''re asked, if the clocks begin displaying the ...” September 24, 2018 Rich.C@EMPOWERgmat.com posted a reply to A seller sold two shoes at the same selling price. If the in the Problem Solving forum “Hi All, We''re told that a seller sold two shoes at the SAME selling price; the percentage profit on one of the shoes was 30% and the percentage loss on the other shoe was 30%. We''re asked for the overall percentage profit or loss made by the seller. This question can be solved by TESTing ...” September 24, 2018 Brent@GMATPrepNow posted a reply to W, X, Y and Z each represent a different number. If the sum in the Problem Solving forum “KEY CONCEPT: The sum of all of the rows = The sum of all of the columns So, 3 + 6 + 9 + 0 = (-2) + 7 + n + 5 Solve: n = 8 Answer: C Cheers, Brent” September 24, 2018 Brent@GMATPrepNow posted a reply to If x^y = 1 then what is the in the Data Sufficiency forum “Target question: What is the value of x? Given: x^y = 1 If x^y = 1, then there are 3 possible cases: case i: x = 1, and y = any value (e.g., 1^9 = 1) case ii: x = -1, and y = an even integer (e.g., (-1)^4 = 1) case iii: x = any non-zero value, and y = 0 (e.g., 7^0 = 1) Statement ...” September 23, 2018 Brent@GMATPrepNow posted a reply to If 893 × 78 = p, which of the following is equal to 893 × in the Problem Solving forum “Given: 893 x 78 = P 893 x 79 = 893 x (78 + 1) = (893)(78) + (893)(1) = P + 893 = D Cheers, Brent” September 23, 2018 Brent@GMATPrepNow posted a reply to In an office that employs 120 people, m% of the employees in the Data Sufficiency forum “I thought I''d point out that the two approaches above are known as the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it. Here, we have a population of students, and the two characteristics ...” September 22, 2018 Brent@GMATPrepNow posted a reply to The shaded region in the figure above represents a in the Problem Solving forum “IMPORTANT: the diagrams in GMAT problem solving questions are DRAWN TO SCALE unless stated otherwise. So, we can use this fact to solve the question by simply "eyeballing" the diagram. See our video below on this topic as well as other assumptions we can make about diagrams on the ...” September 21, 2018 Rich.C@EMPOWERgmat.com posted a reply to clarification on GMAT 2016 DS problem in the Data Sufficiency forum “Hi All, We''re told that a taxi company charges F cents for the first mile of the taxi ride and M cents for each additional mile. We''re asked how much the company charges for a 10 mile taxi ride. This question can be solved with a mix of Algebra and TESTing VALUES. 1) The company charges ...” September 21, 2018 Brent@GMATPrepNow posted a reply to Challenge question: If ∆ABC is an isosceles triangle in the Data Sufficiency forum “Target question: What is the perimeter of ∆ABC? Given: ∆ABC is an isosceles triangle Statement 1: AB = 10√3 We only know the measurement of ONE side of the triangle. So, there''s no way to determine the triangle''s perimeter. Since we cannot answer the target question with ...” September 20, 2018 Brent@GMATPrepNow posted a reply to Challenge question: If ∆ABC is an isosceles triangle in the Data Sufficiency forum “Thanks Fabio! I fixed it. Cheers, Brent” September 20, 2018 Brent@GMATPrepNow posted a reply to If Albert can travel 200 miles in 4 hours, how many hours in the Problem Solving forum “Another approach is to apply some number sense GIVEN: Albert can travel 200 miles in 4 hours This means: Albert can travel 100 miles in 2 hours And: Albert can travel 50 miles in 1 hour 350 miles = 200 miles + 100 miles + 50 miles So, the time to travel 350 miles = 4 hours + 2 hours + 1 ...” September 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to If 12 men and 16 women can do a piece of work in 5 days and in the Problem Solving forum “Hi All, We''re told that 12 men and 16 women can do a piece of work in 5 days and 13 men and 24 women can do it in 4 days. We''re asked how long it will take 7 men and 10 women to complete that same task. This question can be approached in a couple of different ways (some of which involve a lot ...” September 20, 2018 Brent@GMATPrepNow posted a reply to In four years, Andy will be twice as old as Betsy. How old in the Data Sufficiency forum “ Given: In four years, Andy will be twice as old as Betsy. Let A = Andy''s PRESENT age Let B = Betsy''s PRESENT age So, A+4 = Andy''s age IN 4 YEARS And so, B+4 = Betsy''s age IN 4 YEARS If Andy will be twice as old as Betsy IN 4 YEARS, we can write: A+4 = 2(B+4) Expand: A + 4 = 2B + 8 ...” September 20, 2018 Brent@GMATPrepNow posted a reply to What is the perimeter of a rectangle? in the Data Sufficiency forum “Target question: What is the perimeter of a rectangle? This is a good candidate for rephrasing the target question. Let x = the length of the rectangle''s base Let y = the length of the rectangle''s height So, the perimeter of the rectangle = 2x + 2y REPHRASED target question: What is the ...” September 20, 2018 Brent@GMATPrepNow posted a reply to How many multiples of 33 lie between 101 and 1,000, inclusiv in the Problem Solving forum “Another approach is to apply the following rule: If x and y are multiples of k, then the number of multiples of k from x to y inclusive = So, for example, the multiples of 3 from 6 to 21 inclusive = 6 So, the number of multiples of 33 from 132 to 990 inclusive = (990 - 132)/33 + 1 = 858/33 ...” September 20, 2018 Brent@GMATPrepNow posted a reply to How many multiples of 33 lie between 101 and 1,000, inclusiv in the Problem Solving forum “Some positive multiples of 33 are: 33, 66, 99, 132, 165, 198,. . . , 957, 990, 1023 So, we want the number of multiples of 33 from 132 to 990 inclusive Observe: 132 = (33)(4) 165 = (33)(5) 198 = (33)(6) . . . 957 = (33)(29) 990 = (33)(30) We can see that the number of multiples of ...” September 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to The Malibu Country Club needs to drain its pool for in the Problem Solving forum “Hi All, We''re told that a The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per MINUTE, the pool is 80 feet wide by 150 feet long by 10 feet deep and is currently at 80% full. We''re asked how long it will, in HOURS, ...” September 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to Bobby bought 2 shares, and which he sold for$96 each. If he in the Problem Solving forum
“Hi All, We''re told that Bobby bought 2 shares, which he sold for $96 each, he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share. We''re asked to find the TOTAL profit or loss on the sale of the two shares. This question essentially comes down ...” September 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to A driver paid n dollars for auto insurance for the year in the Problem Solving forum “Hi All, We''re told that a driver paid N dollars for auto insurance for the year 1997. This annual premium was raised by P percent for the year 1998, then for EACH of the years 1999 and 2000, the premium was decreased by 1/6 from the previous year’s figure, leaving the driver’s insurance ...” September 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to If a mixture of ground meat consists of 2 pounds of veal in the Problem Solving forum “Hi All, We''re told that a mixture of ground meat consists of 2 pounds of veal that costs X dollars per pound, and 5 pounds of beef that costs Y dollars per pound. We''re asked for the cost, in dollars, per pound of the mixture. This question can be approached in a number of different ways, ...” September 20, 2018 Brent@GMATPrepNow posted a reply to Last year's receipts from the sale of candy on Valentine's in the Problem Solving forum “GIVEN: 385 million dollars represents 7% of TOTAL candy sales In other words: 7% of TOTAL candy sales = 385 million dollars Rewrite as: (7/100)(TOTAL candy sales) = 385 million To multiply both sides by 100/7 to get: TOTAL candy sales = (100/7)(385 million) ASIDE: We need not perform any ...” September 20, 2018 Brent@GMATPrepNow posted a reply to In the coordinate plane, line M travels through points in the Problem Solving forum “KEY CONCEPT: In a straight line with slope m, any segment of the line will have slope m. To get from point (9, 10) to point (0, 4), we start at (9, 10) and move 9 spaces to the left and 6 spaces down to get to (0, 4) Let''s keep going. Starting at (0, 4), we can, once again, move 9 spaces ...” September 20, 2018 Brent@GMATPrepNow posted a reply to If x and y are different prime numbers, each greater than 2, in the Problem Solving forum “Some important rules: #1. ODD +/- ODD = EVEN #2. ODD +/- EVEN = ODD #3. EVEN +/- EVEN = EVEN #4. (ODD)(ODD) = ODD #5. (ODD)(EVEN) = EVEN #6. (EVEN)(EVEN) = EVEN If x and y are different prime numbers, each greater than 2 . . . Since all prime numbers (EXCEPT 2) are ODD, this statement ...” September 19, 2018 Brent@GMATPrepNow posted a reply to How many 3 digit numbers can we make such that two of the in the Problem Solving forum “There are 3 cases to consider: case 1) numbers of the form XXY (1st and 2nd digits are the same and the 3rd digit is different) case 2) numbers of the form XYX (1st and 3rd digits are the same and the 2nd digit is different) case 3) numbers of the form YXX (2nd and 3rd digits are the same and the ...” September 19, 2018 Brent@GMATPrepNow posted a reply to In 2001, John invest x dollars ina special account that in the Problem Solving forum “ John$250 in his account in 2006 and in 2008 he has $270 in his account, So, in 2 years, John''s balance increases by$20 So, the balance increases $10 EACH YEAR In 2001, John invests x dollars in a special account that yields y% simple interest annually John''s balance increases$10 EACH ...”
September 19, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide - Probability googly in the Problem Solving forum
“P(selecting a sibling pair) = P(select a junior with a sibling AND select the senior who is that junior''s sibling) = P(select a junior with a sibling) x P(select the senior who is that junior''s siblingx 1/800 = 60/800,000 = 3/40,000 = A Note: P(select a junior with a sibling) = 60/1000, ...”
September 19, 2018
Brent@GMATPrepNow posted a reply to Which of the following decribes all values of n for which in the Problem Solving forum
“Another approach is to test values and eliminate answer choices For example, one value of n that satisfies the equation n² - 1 ≥ 0 is n = 2 Notice that 2² - 1 = 4 - 1 = 3 and 3 ≥ 0 Now check the answer choices. . . Answer choice B says that n CANNOT equal 2 (since it says n ≤ 1) As ...”
September 19, 2018
Brent@GMATPrepNow posted a reply to In the figure above, what is the distance from point P to in the Problem Solving forum
“Once we create our right triangle with sides 1/2, 1/2 and x (the hypotenuse), we can apply the Pythagorean Theorem to get: (1/2)² + (1/2)² = x² Expand: 1/4 + 1/4 = x² So, 1/8 = x² This means x = √(1/8) Check the answer choices. . . .√(1/8) is not there. Looks like we need to simplify ...”
September 19, 2018