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”
Yesterday
Max@Math Revolution posted a new topic called In the coordinate plane, what is the area of the region encl in the Problem Solving forum
“[Math Revolution GMAT math practice question] In the coordinate plane, what is the area of the region enclosed by x ≥ 1, y ≥ 2 and x + y ≤ 5? A. 1 B. 2 C. 3 D. 4 E. 5”
Yesterday
Max@Math Revolution posted a new topic called For an integer n greater than 1, the set S[size=7]n[/size]={ in the Data Sufficiency forum
“n={ kn | k is an integer greater than or equal to 1} is defined. What is the value of n? 1) 2 is contained in the set Sn. 2) 4 is contained in the set Sn.”
Yesterday
Max@Math Revolution posted a reply to 1/(2-√3)^2=？ in the Problem Solving forum
“=> 1/(2-√3)^2= [1/(2-√3)]^2= {(2+√3)/{(2-√3)(2+√3)}^2={(2+√3)/(4-3)}^2=(2+√3)^2= 4+4√3+3 = 7+4√3. Therefore, the answer is C. Answer: C”
Yesterday
Max@Math Revolution posted a reply to How many multiples of 33 lie between 101 and 1,000, inclusiv in the Problem Solving forum
“=> Consider the arithmetic sequence 132, 165, …, 990 of multiples of 33. The number of terms in this sequence is (990-132)/33 + 1 = 858 / 33 + 1 = 26 + 1 = 27. Therefore, the answer is B. Answer: B”
Yesterday
Max@Math Revolution posted a reply to If x, y, z are integers, is xyz a multiple of 6? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
Yesterday
Max@Math Revolution posted a reply to What is the perimeter of a rectangle? in the Data Sufficiency forum
“=> Forget conventional ways of solving math qAnswer: CAnswer: Cuestions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a ...”
Yesterday
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 ...”
Yesterday
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, ...”
Yesterday
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 ...”
Yesterday
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 ...”
Yesterday
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”
Yesterday
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
ceilidh.erickson posted a reply to Best Way to Study with GMAT Books Already Purchased? in the GMAT Strategy forum
“No, I''m afraid this is not a good plan. There are several problems: - there is absolutely no way that you can get a 750 by focusing on quant alone. You have to maximize both quant and verbal. See the score calculator here: https://www.manhattanprep.com/gmat/gmat-score-calculator/ - you''re ...”
September 21, 2018
ceilidh.erickson posted a reply to Taking the GMAT in four days. Need advice calming my nerves in the GMAT Strategy forum
“CONGRATULATIONS!!! That''s a fantastic score! I always tell my students to take the exam twice. With all the time and money you''re planning to invest in graduate school, why not invest another day of your time + $250 to maximize your score? There''s always a margin of error of +/- 20 pts or so, ...” September 21, 2018 ceilidh.erickson posted a reply to If m > 0, y > 0, and x is m percent of 2y, then, in te in the Problem Solving forum “Here''s another similar problem to try, both algebraically and with plugging numbers: https://www.beatthegmat.com/if-m-0-and-x-is-t68852.html#800983” September 21, 2018 ceilidh.erickson posted a reply to If m > 0, y > 0, and x is m percent of 2y, then, in te in the Problem Solving forum “Here''s another way to set it up algebraically: x is m percent of 2y ---> \E.” September 21, 2018 ceilidh.erickson posted a reply to Because of a rare type of fungus that killed off many cacao in the Critical Reasoning forum “When we''re asked to EVALUATE an argument, we must first determine how the argument is logically flawed. Premises: - Because of a rare type of fungus that killed off many cacao trees in Brazil, there was an unusually meager harvest of cacao beans this year. - The wholesale price of cocoa ...” September 21, 2018 ceilidh.erickson posted a reply to With its plan to develop seven and a half acres of shore in the Sentence Correction forum “Because the dependent clause beginning with "that" is modifying "a large number of communities," the verb should be PLURAL. Remember that in English, certain expressions with prepositions are considered plural: - some of the people are... - all of the ducks have... - many of ...” September 21, 2018 ceilidh.erickson posted a reply to When there is less rainfall than normal, the water level of in the Critical Reasoning forum “When you have a CR problem that asks you to EXPLAIN A DISCREPANCY, it''s usually in this format: - It''s generally true that ______. - Normally, you''d think this would mean ______. - In this case, though, _______. We need to find an answer that 1) keeps the original conditions true, ...” September 21, 2018 ceilidh.erickson posted a reply to The proportion of women among students enrolled in higher in the Critical Reasoning forum “In order to EVALUATE an argument, we must first find the logical flaw in the argument. This argument is conflating two different metrics: 1. the proportion of women among total students: (women students)/(women students + non-women students) 2. the proportion of all women of a certain age who ...” September 21, 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 Max@Math Revolution posted a new topic called 1/(2-√3)^2=？ in the Problem Solving forum “[Math Revolution GMAT math practice question] 1/(2-√3)^2=？ A. 2+√3 B. 2-√3 C. 7+4√3 D. 7-4√3 E. 4+7√3” September 21, 2018 Max@Math Revolution posted a reply to √3-2|+|3-√2|+|5+√3|+|1-√2|=? in the Problem Solving forum “=> |A|=A when A>0, |0|=0, and |A|=-A when A<0 Since √3-2 < 0, we have |√3-2| = -(√3-2). Since 3-√2 > 0, we have |3-√2| = 3-√2. Since 5+√3 > 0, we have |5+√3| = 5+√3 Since 1-√2 < 0, we have |1-√2| = -(1-√2) So, ...” September 21, 2018 Max@Math Revolution posted a new topic called If x, y, z are integers, is xyz a multiple of 6? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If x, y, z are integers, is xyz a multiple of 6? 1) x+y+z is a multiple of 6 2) x, y, and z are consecutive integers” September 21, 2018 Max@Math Revolution posted a reply to If n is an integer, is n(n+2) divisible by 8? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” 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 Max@Math Revolution posted a new topic called 1/(2-√3)^2=？ in the Problem Solving forum “[Math Revolution GMAT math practice question] How many multiples of 33 lie between 101 and 1,000, inclusive? A. 24 B. 27 C. 33 D. 36 E. 48” September 20, 2018 Max@Math Revolution posted a reply to Which of the following functions satisfies f(a+b)=f(a)f(b) f in the Problem Solving forum “=> A. f(1) = 2, f(2) = 3, f(1)f(2) = 6, but f(1+2) = f(3) = 4. Choice A is incorrect. B. f(2) = 5, f(3) = 10, f(2)f(3) = 50, but f(2+3) = f(5) = 26. Choice B is incorrect. C. f(9) = 3, f(16) = 4, f(9)f(16) = 12, but f(9+16) = f(25) = 5. Choice C is incorrect. D. f(1) = 1, f(2) = 1/2, ...” September 20, 2018 Max@Math Revolution posted a new topic called What is the perimeter of a rectangle? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] What is the perimeter of a rectangle? 1) The square of the diagonal is 52. 2) The area of the rectangle is 24.” September 20, 2018 Max@Math Revolution posted a reply to a and b are positive numbers. What is the value of (a-b)/(a+ in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. When a ...” 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
Brent@GMATPrepNow posted a reply to If six coins are flipped simultaneously, the probability of 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 one heads and at least one tails) = 1 - P(not getting at least one heads and at least one ...”
September 19, 2018
Brent@GMATPrepNow posted a reply to If n is an integer, is n(n+2) divisible by 8? in the Data Sufficiency forum
“Target question: Is n(n+2) divisible by 8? Statement 1: n is an even number. Let''s examine some CONSECUTIVE even numbers: 6, 8, 10, 12, 14, 16, 18, 20, 22, etc Notice that the numbers increase by 2 with each subsequent value. So, if n is EVEN, then we know that n+2 is also even. Also, ...”
September 19, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: If ∆ABC is an isosceles triangle in the Data Sufficiency forum
“If ∆ABC is an isosceles triangle, what is the perimeter of ∆ABC? (1) AB = 10√3 (2) AC = 8 Answer: C Difficulty level: 600 - 650 Source: www.gmatprepnow.com”
September 19, 2018
Max@Math Revolution posted a new topic called √3-2|+|3-√2|+|5+√3|+|1-√2|=? in the Problem Solving forum
“[Math Revolution GMAT math practice question] |√3-2|+|3-√2|+|5+√3|+|1-√2|=? A. 0 B. 2√2 C. 2√3 D. 9 E. 11”
September 19, 2018
Max@Math Revolution posted a reply to x^4+12x^3+49x^2+78x+40 can be factored as a product of four in the Problem Solving forum
“=> Assume x^4+px^3+qx^2+rx+s = (x+a)(x+b)(x+c)(x+d). Then, s = abcd. The constant terms a, b, c and d of the linear factors are factors of the constant term s of the original polynomial. Since 3 is not a factor of 40, x + 3 cannot be a factor of the original polynomial ...”
September 19, 2018
Max@Math Revolution posted a new topic called If n is an integer, is n(n+2) divisible by 8? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If n is an integer, is n(n+2) divisible by 8? 1) n is an even number. 2) n is a multiple of 4.”
September 19, 2018
Max@Math Revolution posted a reply to 2^p/2^q=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
September 19, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
September 19, 2018
Rich.C@EMPOWERgmat.com posted a reply to Which of the following decribes all values of n for which in the Problem Solving forum
“Hi All, We''re asked which of the following describes all values of N for which (N^2 - 1) is greater than or equal to 0. This question can be solved in a couple of different ways, but you might find it easiest to TEST VALUES. Since we''re SQUARING the value of N, we know that there will be ...”
September 19, 2018
Rich.C@EMPOWERgmat.com posted a reply to A basket contains 5 apples, of which 1 is spoiled and the in the Problem Solving forum
“Hi All We''re told that we have 4 regular apples and 1 spoiled apple. We''re asked - if you grab 2 apples, then what''s the probability of getting the spoiled apple? The question can be solved in a couple of ways. Here''s how to track each of the different outcomes that matches what we''re ...”
September 19, 2018
Rich.C@EMPOWERgmat.com posted a reply to Oscar is running in a straight line away from Nancy at the in the Problem Solving forum
“Hi All, We''re told that Oscar is running in a straight line away from Nancy at the rate of 20 feet per second, Nancy is chasing Oscar at the rate of 25 feet per second and Oscar has a 100-foot head start. We''re asked for the number of seconds it will it take Nancy to catch Oscar. This is an ...”
September 19, 2018
Brent@GMATPrepNow posted a reply to Challenge question: If 40 percent more than 40 percent of x in the Problem Solving forum
“--------ASIDE-------------------- 40% MORE THAN k = k + (40% of k) = k + 0.4x = 1.4x 40% LESS THAN Q = Q - (40% of Q) = Q - 0.4Q = 0.6Q ----NOT ONTO THE QUESTION!!----------- 40 percent of x is the same as 0.4x So, 40 percent more than 40 percent of x is the same as (1.4)(0.4x) ...”
September 18, 2018
Brent@GMATPrepNow posted a reply to In how many ways a cricket team consisting of 5 batsmen, 4 in the Problem Solving forum
“Take the task of creating a cricket team and break it into stages. Stage 1: Select 5 batsmen Since the order in which we select the batsmen does not matter, we can use combinations. We can select 5 batsmen from 7 batsmen in 7C5 ways (21 ways) So, we can complete stage 1 in 21 ways ...”
September 18, 2018
Brent@GMATPrepNow posted a reply to Which of the following functions satisfies f(a+b)=f(a)f(b) f in the Problem Solving forum
“Another approach is to a = 1 and b = 1 So, with each function, is it true that f(1 + 1) = f(1)f(1)? In other words, is it true that f(2) = f(1)f(1)? A. f(x) = x + 1 Is it true that f(2) = f(1)f(1)? Plug values into the function to get: 2 + 1 = (1 + 1)(1 + 1) Simplify: 3 = 4 No good. ...”
September 18, 2018
Brent@GMATPrepNow posted a reply to a and b are positive numbers. What is the value of (a-b)/(a+ in the Data Sufficiency forum
“Target question: What is the value of (a - b)/(a + b)? Statement 1: a = 2b Take: (a - b)/(a + b) Replace a with 2b to get: (2b - b)/(2b + b) Simplify: b/3b Divide top and bottom by b to get: 1/3 So, the answer to the target question is (a - b)/(a + b) = 1/3 Since we can answer the ...”
September 18, 2018
Brent@GMATPrepNow posted a reply to Which of the following functions satisfies f(a+b)=f(a)f(b) f in the Problem Solving forum
“Upon scanning the answer choices, we might recognize that answer choice E, f(x) = 2^x, involves a variable exponent and that the given information that f(a+b) = f (a)f(b) looks A LOT like the Product Law: (k^a)(k^b) = k^(a+b) So, let''s check E first. E. f(x) = 2^x If f(x) = 2^x, then f(a) = ...”
September 18, 2018
Brent@GMATPrepNow posted a reply to A certain business school has a student body of 2,000 studen in the Data Sufficiency forum
“I thought I''d point out that Jay''s approach is also 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 are: ...”
September 18, 2018
Max@Math Revolution posted a new topic called Which of the following functions satisfies f(a+b)=f(a)f(b) f in the Problem Solving forum
“[Math Revolution GMAT math practice question] Which of the following functions satisfies f(a+b)=f(a)f(b) for all positive numbers a, b ? A. f(x)=x+1 B. f(x)=x^2+1 C. f(x)=√x D. f(x)=1/x E. f(x)=2^x”
September 18, 2018
Max@Math Revolution posted a new topic called a and b are positive numbers. What is the value of (a-b)/(a+ in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] a and b are positive numbers. What is the value of (a-b)/(a+b)? 1) a=2b 2) (a^2-b^2) / (a+b)^2 =1/3”
September 18, 2018
Rich.C@EMPOWERgmat.com posted a reply to In each of five taste tests, each of 51 participants chose in the Data Sufficiency forum
“Hi All, We''re told that in each of 5 taste tests, each of 51 participants chose either Brand X or Brand Y. The brand chosen by the majority of participants in a taste test was the winner of that taste test, and the brand that won the majority of the taste tests was deemed the better brand. ...”
September 17, 2018
Rich.C@EMPOWERgmat.com posted a reply to Two gardeners, Burton and Philips in the Problem Solving forum
“Hi All, We''re told that two gardeners, Burton and Philips, work at independent constant rates to prune a garden full of roses. If both gardeners start at the same time and work at their normal rates, they will complete the job in 45 minutes. However, if Philips were to work at TWICE Burton''s ...”
September 17, 2018
Rich.C@EMPOWERgmat.com posted a reply to Going in to the last game of his basketball season, Adrian in the Problem Solving forum
“Hi All, We''re told that going in to the last game of his basketball season, Adrian had averaged 24 points per game and in his last game, he scored 50 points (bringing his average to 26 points per game for the season). We''re asked for the TOTAL number of games Adrian played that season. This ...”
September 17, 2018
Rich.C@EMPOWERgmat.com posted a reply to Grandmother's Punch hangover cure is a mix of two in the Problem Solving forum
“Hi All, We''re told that Grandmother''s Punch hangover cure is a mix of two ingredients: a herbal extraction that contains 20% alcohol and apricot cider that contains 5% alcohol. We''re asked if a 750-milliliter Grandmother''s Punch bottle has 87 milliliters of alcohol, how much apricot cider ...”
September 17, 2018
Brent@GMATPrepNow posted a reply to Going in to the last game of his basketball season, Adrian in the Problem Solving forum
“Let G = total number of games that Adrian played in the ENTIRE season Going in to the last game of his basketball season, Adrian had averaged 24 points per game. At this point, Adrian has played G-1 games So, we can write: (total number of points in G-1 games)/(G-1) = 24 Multiply both sides ...”
September 17, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: If 40 percent more than 40 percent of x in the Problem Solving forum
“If 40 percent more than 40 percent of x is equal to 40 percent less than y, what is the value of x/y? A) 3/8 B) 15/16 C) 1 D) 15/14 E) 15/4 Answer: D Difficulty level: 600 – 650 Source: www.gmatprepnow.com”
September 17, 2018
Brent@GMATPrepNow posted a reply to What is the perimeter of isosceles triangle LMN? 1) Side LM in the Data Sufficiency forum
“Target question: What is the perimeter of isosceles triangle LMN? Jump to. . . . Statements 1 and 2 combined There are two triangles that satisfy BOTH statements. They are: Case a: The side lengths of triangle LMN are 4, 4 and 4√2. In this case, the answer to the target question is ...”
September 17, 2018
Brent@GMATPrepNow posted a reply to 2^p/2^q=? in the Data Sufficiency forum
“Target question: What is the value of (2^p)/(2^q) ? This is a good candidate for rephrasing the target question. Aside: Here’s a video with tips on rephrasing the target question: Take: (2^p)/(2^q) Apply the Quotient law to get: 2^(p - q) This means (2^p)/(2^q) = 2^(p - q) So, in order ...”
September 17, 2018
Brent@GMATPrepNow posted a reply to Counting question in the Ask the Test Maker forum
“Good catch! (someone else just alerted me to my error) I have edited my response accordingly. Cheers, Brent”
September 17, 2018
Max@Math Revolution posted a new topic called x^4+12x^3+49x^2+78x+40 can be factored as a product of four in the Problem Solving forum
“[Math Revolution GMAT math practice question] x^4+12x^3+49x^2+78x+40 can be factored as a product of four linear polynomials with integer coefficients. Which of following cannot be a factor of x^4+12x^3+49x^2+78x+40? A. x+1 B. x+2 C. x+3 D. x+4 E. x+5”
September 17, 2018
Max@Math Revolution posted a new topic called 2^p/2^q=? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] 2^p/2^q=? 1) p = q + 2 2) pq=8”
September 17, 2018
Rich.C@EMPOWERgmat.com posted a reply to What is the perimeter of isosceles triangle LMN? 1) Side LM in the Data Sufficiency forum
“Hi All, We''re told that triangle LMN is an isosceles triangle. We''re asked for the PERIMETER of that triangle. 1) Side LM has a length of 4 With the information in Fact 1, we know that one (or possibly two) of the sides of this isosceles triangle, but we don''t know all 3 sides, so ...”
September 17, 2018
Brent@GMATPrepNow posted a reply to If 4x − 3y = 13 and 5x + 2y = −1, then x = in the Problem Solving forum
“Given: 4x − 3y = 13 5x + 2y = −1 Take the top equation and multiply both sides by 2 Take the bottom equation and multiply both sides by 3 We get: 8x − 6y = 26 15x + 6y = −3 Add the two equations to get: 23x = 23 Solve: x = 1 Answer: C Cheers, Brent”
September 17, 2018
Max@Math Revolution posted a reply to If 1/n(n+1) = 1/n – 1/(n+1), then what is the value of 1/( in the Problem Solving forum
“=> 1/(1*2) + 1/(2*3) + 1/(3*4) + … + 1/(99*100) = (1/1 – 1/2) + (1/2 – 1/3) + (1/3 – 1/4) + … + (1/99 – 1/100) = 1/1 – 1/100 = 1 – 1/100 = 99/100 after cancellation of the inner terms. Therefore, the answer is D. Answer: D”
September 17, 2018
Max@Math Revolution posted a reply to (1^2+2^2+3^3+…+20^2) / (1+2+3+ …+20)=? in the Problem Solving forum
“=> Now, 1^2 + 2^2 + 3^2 + … + n^2 = n(n+1)(2n+1)/6 and 1 + 2 + 3 + … + n = n(n+1)/2. So, (1^2+2^2+3^2+…+20^2) / (1+2+3+ …+20) = ( 20*21*41/6 ) / ( 20*21/2 ) = (41/6) / (1/2) = 41/3 Therefore, the answer is A. Answer: A”
September 17, 2018
Max@Math Revolution posted a reply to Is x < 0? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
September 17, 2018
Max@Math Revolution posted a reply to If n is an integer, is (n+1)^2 an even integer? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
September 17, 2018
Brent@GMATPrepNow posted a reply to If the ratio of the present age of Anna and Paula is 3:4 in the Problem Solving forum
“Here''s a nice property of fractions: If a, b and k are positive, then (a + k)/(b + k) approaches 1 as k gets bigger. For example, the fraction (2+11)/(3+11) is closer to 1 than 2/3 is. Likewise, the fraction (1+7)/(2+7) is closer to 1 than 1/2 is. Let A = Anna''s present age Let P = Paula''s ...”
September 16, 2018
Brent@GMATPrepNow posted a new topic called If x^y = 1 then what is the in the Data Sufficiency forum
“If x^y = 1, then what is the value of x? (1) x < 0 (2) y is even integer”
September 16, 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 = ...”
September 16, 2018
Brent@GMATPrepNow posted a reply to A rectangular-shaped carpet remnant that measures x feet in the Problem Solving forum
“Area of rectangle = (base)(height) = (x feet)(y feet) = xy square feet GIVEN: 9 square feet = 1 square yard So, we can also say that 1 square foot = 1/9 square yards So, xy square feet = xy/9 square YARDS So, if xy/9 square YARDS cost $50, then each square YARD =$50/(xy/9) = ...”
September 16, 2018
Brent@GMATPrepNow posted a reply to Bob drives at an average rate of 50 mph from Berkeley to Los in the Problem Solving forum
“As the others have shown, the fast approach is to recognize that: travel time = distance/speed = 350/50 = 7 hours However, we could also (if necessary) solve this by applying some common sense. Bob''s speed is 50 miles per hour. In other words, for every 1 hour that elapses, Bob travels 50 ...”
September 16, 2018
Brent@GMATPrepNow posted a reply to At what speed was Erik running when he was at the halfway 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 ...”
September 15, 2018
Brent@GMATPrepNow posted a reply to Probability from GMAT prep in the Problem Solving forum
“The two approaches shown above are the best (faster) approaches, but here''s one more. Since there are so few objects involved (5 apples), we should be able to quickly answer the question by simply listing and counting Let A, B, C, D, and E represent the 5 apples, and let E represent the ...”
September 15, 2018
Marty Murray posted a reply to How to Practice for Questions you Get Wrong? in the GMAT Math forum
“It could be, if verbal really clicks for you when you start analyzing questions and if you relatively quickly improve your skills in some key quant areas. It may not be though. Whether it will be depends on various factors, such as how much time you have to work on GMAT stuff, how effectively ...”
September 15, 2018
Marty Murray posted a reply to How to Practice for Questions you Get Wrong? in the GMAT Math forum
“OK, so, to get to your target score of 740, you are going to have to score at least 40, and probably 41, in verbal. Scoring 40 in verbal is going to take seeing a fair amount more than you have been. So, you have to train yourself to see more and get more verbal questions correct. To do so, ...”
September 15, 2018
Brent@GMATPrepNow posted a reply to A zebra must get water from either a stream or pond. Which in the Data Sufficiency forum
“Even if the zebra''s speed is the same in both cases, we can''t conclude anything about the distances, since we aren''t told anything about the direction the zebra is traveling. It may even be the case that the zebra is traveling in circles :-) Cheers, Brent”
September 14, 2018
Brent@GMATPrepNow posted a reply to A zebra must get water from either a stream or pond. Which in the Data Sufficiency forum
“Target question: Which of the two sources of water is closer to the zebra’s current position? Jump straight to.... Statements 1 and 2 COMBINED There are several scenarios that satisfy BOTH statements. Here are two: Case a: When traveling to the STREAM, the zebra heads EAST in a ...”
September 14, 2018
ceilidh.erickson posted a reply to Scoring Verbal 45+ in the GMAT Verbal & Essays forum
“There''s no special strategy for scoring a 45+ verbal that''s any different from what everyone should do to maximize their scores: - Read strategy guides to make sure you''re using good process, and not just relying on instincts. More here: ...”
September 14, 2018
Brent@GMATPrepNow posted a reply to Taking the GMAT in four days. Need advice calming my nerves in the GMAT Strategy forum
“You''re certainly not the first person to get nervous during this high-stakes (and expensive) test! If you''re interested, we have a free video on the topic on overcoming test anxiety: [url]http://www.gmatprepnow.com/module/general-gmat-strategies/video/1252[/url] Also, as part of managing ...”
September 14, 2018
ceilidh.erickson posted a reply to Taking the GMAT in four days. Need advice calming my nerves in the GMAT Strategy forum
“Here are some other resources to help combat / reframe anxiety: http://www.ted.com/talks/kelly_mcgonigal_how_to_make_stress_your_friend?language=en https://www.manhattanprep.com/gmat/blog/2013/05/09/stressed-out-meditate-to-lower-your-anxiety-and-boost-your-gmat-score/ ...”
September 14, 2018
ceilidh.erickson posted a reply to Taking the GMAT in four days. Need advice calming my nerves in the GMAT Strategy forum
“I definitely agree with what Rich said. Here are a few other pieces of advice: - Tell yourself that no matter what, you''ll take it a 2nd time. There''s always a margin of error of +/- 20pts, so even if you have a great test day and get a 720, why not roll the dice again and see if you can get a ...”
September 14, 2018
Marty Murray posted a reply to How to Practice for Questions you Get Wrong? in the GMAT Math forum
“Generally speaking, here''s the thing. Scoring high on the GMAT is not really about knowing everything, the way scoring high on a school test might be. It''s more about being good enough at answering questions to hit your score goal. So, completing your syllabus was just the beginning. Now, you ...”
September 14, 2018
Brent@GMATPrepNow posted a reply to If 1/n(n+1) = 1/n – 1/(n+1), then what is the value of 1/( in the Problem Solving forum
“If 1/n(n+1) = 1/n – 1/(n+1), then... 1/(1*2) = 1/1 - 1/2 1/(2*3) = 1/2 - 1/3 1/(3*4) = 1/3 - 1/4 . . . 1/(98*99) = 1/98 - 1/99 1/(99*100) = 1/99 - 1/100 So, 1/(1*2) + 1/(2*3) + 1/(3*4) + … + 1/(99*100) = (1/1 - 1/2) + (1/2 - 1/3) + (1/3 - 1/4) + . . . (1/98 - 1/99) + (1/99 - ...”
September 14, 2018
Brent@GMATPrepNow posted a reply to Is x < 0? in the Data Sufficiency forum
“Target question: Is x < 0? Statement 1: |x| = -x Let''s TEST some values. There are several values of x that satisfy statement 1. Here are two: Case a: x = -1. Notice that |-1| = -(-1). In this case, the answer to the target question is YES, x IS less than 0 Case b: x = 0. Notice that ...”
September 14, 2018
Max@Math Revolution posted a new topic called If 1/n(n+1) = 1/n – 1/(n+1), then what is the value of 1/(1* in the Problem Solving forum
“[Math Revolution GMAT math practice question] If 1/n(n+1) = 1/n – 1/(n+1), then what is the value of 1/(1*2) + 1/(2*3) + 1/(3*4) + … + 1/(99*100) A. 1/100 B. 1/50 C. 49/50 D. 99/100 E. 1/2”
September 14, 2018
Max@Math Revolution posted a reply to If the interior angles of a triangle are in the ratio 3 to in the Problem Solving forum
“=> Let x, y and z be interior angles of the triangle. Since x:y:z = 3:4:5, we can write x = 3k, y = 4k and z = 5k. Since the interior angles of the triangle add to 180, x + y + z = 3k + 4k + 5k = 12k = 180, and so k = 180 /12 = 15. Therefore, the largest angle of the triangle is z = 5k = ...”
September 14, 2018
Max@Math Revolution posted a new topic called Is x < 0? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is x < 0? 1) |x|=-x 2) |x|>x”
September 14, 2018
Max@Math Revolution posted a reply to x=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
September 14, 2018
Rich.C@EMPOWERgmat.com posted a reply to A zebra must get water from either a stream or pond. Which in the Data Sufficiency forum
“Hi All, We''re told that a zebra must get water from either a stream or pond. We''re asked which of the two sources of water is closer to the zebra’s current position. 1) Moving at a constant rate, it takes the zebra 2 hours to reach the stream from its current position. Fact 1 tells ...”
September 14, 2018
Rich.C@EMPOWERgmat.com posted a reply to Taking the GMAT in four days. Need advice calming my nerves in the GMAT Strategy forum
“Hi Varun, In these last few days, you should NOT try to do too much work (NO ''cramming" and NO CATs). You would be best served by doing some general review and keeping your studies light. Try to get some extra rest so that you can go into Test Day calm, clear-headed and ready to work. As ...”
September 14, 2018
Brent@GMATPrepNow posted a reply to If n is an integer, is (n+1)^2 an even 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 (n+1)² an even integer? This is a good candidate for rephrasing the target question. Aside: Here’s a video ...”
September 13, 2018
Brent@GMATPrepNow posted a reply to Jack bought five mobiles at an average price of $150. The in the Problem Solving forum “Jack bought five mobiles at an average price of$150. So, (sum of all 5 mobiles)/5 = $150 Multiply both sides by 5 to get: sum of all 5 mobiles =$750 The median of all the prices is $200. Let a = smallest value Let b = 2nd smallest value Let d = largest value Let c = 2nd largest value ...” September 13, 2018 Brent@GMATPrepNow posted a reply to A driver paid n dollars for auto insurance for the year in the Problem Solving forum “First recognize that INCREASING a value by p percent is the same as multiplying by (100 + p)/100 For example, increasing a value by 7% is the same as multiplying by (100 + 7)/100 Likewise, increasing a value by 25% is the same as multiplying by (100 + 25)/100 Also, recognize that DECREASING a ...” September 13, 2018 Max@Math Revolution posted a new topic called (1^2+2^2+3^3+…+20^2) / (1+2+3+ …+20)=? in the Problem Solving forum “[Math Revolution GMAT math practice question] ( 1^2+2^2+3^2+…+20^2) / (1+2+3+ …+20)=? A. 41/3 B. 41/6 C. 41 D. 210 E. 420 ” September 13, 2018 Max@Math Revolution posted a reply to What is the value of 22C19? in the Problem Solving forum “=> Since nCn-r = nCr, 22C19 = 22C3 = (22*21*20)/(1*2*3) = 11*7*20 = 1540. Therefore, the answer is B. Answer: B” September 13, 2018 Max@Math Revolution posted a new topic called If n is an integer, is (n+1)^2 an even integer? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If n is an integer, is (n+1)^2 an even integer? 1) n-1 is an even integer 2) (n-1)^2 is an even integer” September 13, 2018 Max@Math Revolution posted a reply to Does y=ax^2+bx+c intersect the x-axis? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” September 13, 2018 Brent@GMATPrepNow posted a reply to To furnish a room in a model home, an interior decorator is in the Problem Solving forum “Total # of combinations = (# of ways to select 2 chairs)(# of ways to select 2 tables) So, 150 = (# of ways to select 2 chairs)(# of ways to select 2 tables) # of ways to select 2 chairs 5 tables, choose 2 of them. Since the order of the selected chairs does not matter, we can use ...” September 13, 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), ...” September 13, 2018 Brent@GMATPrepNow posted a reply to good farming (OG13 71) in the Sentence Correction forum “(A) good growing conditions both encouraged farming traditions that, in places, endure in The word COMBINATION implies that the two conditions combine to have an effect. So, the word BOTH is redundant. ELIMINATE A (B) good growing conditions encouraged farming traditions that have, in places, ...” September 12, 2018 Brent@GMATPrepNow posted a reply to What is the biggest positive integer which will always divid in the Problem Solving forum “One approach is to list integers in the form n, n+1 and n+2 such that n is even, and look for a pattern... 2, 3, 4 Product = 24, which is divisible by 2, 3, 6, 12 and 24 4, 5, 6 Product = 120, which is divisible by 2, 3, 6, 12 and 24 6, 7, 8 Product = 336, which is divisible by 2, 3, 6, ...” September 12, 2018 Brent@GMATPrepNow posted a reply to If the interior angles of a triangle are in the ratio 3 to in the Problem Solving forum “Oops, good catch! I have edited my response accordingly. Cheers and thanks, Brent” September 12, 2018 Brent@GMATPrepNow posted a reply to Flor is choosing three of five colors of paint to use for he in the Problem Solving forum “Jay''s approach is the approach that I''d typically use. However, it''s important to note that, when the answer choices are so small (as they are here), we should also consider the straightforward strategy of listing and counting Let R, B, P, G and Y represent the colors Red, Blue, Purple, Green ...” September 12, 2018 Brent@GMATPrepNow posted a reply to If the interior angles of a triangle are in the ratio 3 to in the Problem Solving forum “All 3 angles must add to 180° So, if we divide 180° into 3 angles in the ratio 3 : 4 : 5, we get: 45° : 60° : 75° What is the measure of the largest angle? The largest angle is 75 degrees° Answer: D Cheers, Brent” September 12, 2018 Brent@GMATPrepNow posted a reply to Is p + pz = p? in the Data Sufficiency forum “Target question: Is p + pz = p? This is a great candidate for rephrasing the target question. Aside: Here’s a video with tips on rephrasing the target question: Take Is p + pz = p? and subtract p from both sides to get: Is pz = 0? In order for pz to equal 0, it must be the case that ...” September 12, 2018 Brent@GMATPrepNow posted a reply to A company plans to assign identification numbers to its in the Problem Solving forum “Take the task of creating the identification numbers and break it into stages. Stage 1: Select the first digit of the identification number The first digit can be 1, 2, 3, 4, 5, 6, 7, 8, or 9 So, we can complete stage 1 in 9 ways Stage 2: Select the second digit of the identification ...” September 12, 2018 Max@Math Revolution posted a new topic called If the interior angles of a triangle are in the ratio 3 to in the Problem Solving forum “[Math Revolution GMAT math practice question] If the interior angles of a triangle are in the ratio 3 to 4 to 5, what is the measure of the largest angle? A. 30 B. 45 C. 60 D. 75 E. 90” September 12, 2018 Max@Math Revolution posted a reply to If 5^{m-2}2^{m+2} is an n-digit integer, where m is an inte in the Problem Solving forum “=> 5^{m-2}2^{m+2} = 5^{m-2}2^{m-2+4} = 5^{m-2}2^{m-2}*2^4 = (5*2)^{m-2}*2^4= (10)^{m-2}*2^4 = 16*(10)^{m-2} = 16*(100…0)= 1600…0 with m-2 0’s. 10^{m-2} has m-2 digits that are 0 and 16*(10)^{m-2} has digits including 1, 6 and m-2 digits that are 0. Thus, 16*(10)^{m-2} has m – 2 + m ...” September 12, 2018 Max@Math Revolution posted a new topic called x=? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] x=? 1) x^3+x^2+x=0 2) x=-2x” September 12, 2018 Max@Math Revolution posted a reply to Is xy>0? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” September 12, 2018 Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum “To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...” September 12, 2018 Rich.C@EMPOWERgmat.com posted a reply to Each baseball team in a league has a roster of players in in the Problem Solving forum “Hi All, We''re told that each baseball team in a league has a roster of players in the ratio of 2 pitchers for every 3 fielders, each team has a total of 25 players on its roster and there are 12 total teams in the league. We''re asked for the DIFFERENCE between the total number of fielders and ...” September 12, 2018 Rich.C@EMPOWERgmat.com posted a reply to A certain library assesses fines for overdue books as in the Problem Solving forum “Hi All, This question includes a ''conditional statement'' that effects how you''re supposed to handle each "step" in the math: "for each additional day....., the total fine is EITHER increased by 30 cents OR doubled, whichever results in the LESSER AMOUNT." Since ...” September 12, 2018 Rich.C@EMPOWERgmat.com posted a reply to Kevin drove from A to B at a constant speed of 60 mph. Once in the Problem Solving forum “Hi All, We''re told that Kevin drove from A to B at a constant speed of 60 mph, then he turned right around without pause, and returned to A at a constant speed of 80 mph. In addition, exactly 4 hours before the end of his trip, he was STILL approaching B, only 15 miles away from it. We''re ...” September 12, 2018 Brent@GMATPrepNow posted a reply to Last week Chris earned x dollars per hour for the first 40 in the Problem Solving forum “If Chris worked 48 hours, then he was paid 40x dollars for first 40 hours and (8)(22) dollars for the next 8 hours Since Chris earned$816, we can write: 40x + (8)(22) = 816 Simplify: 40x + 176 = 816 Subtract 176 from both sides: 40x = 640 Solve: x = 640/40 = 16 Answer: D Cheers, Brent”
September 11, 2018
Brent@GMATPrepNow posted a reply to If x is even integer, which of the following must be an odd in the Problem Solving forum
“A quick approach is the plug in a even number for x and see what happens. A super easy number to use us x = 0 We get..... A) (3)(0)/2 = 0, which is NOT odd. ELIMINATE A. B) (3)(0)/2 + 1 = 1, which IS odd. KEEP B. C) (3)(0)² = 0, which is NOT odd. ELIMINATE C. D) (3)(0²)/2 = 0, which ...”
September 11, 2018
Brent@GMATPrepNow posted a reply to The perimeter of a rectangular garden is 360 ft. What is the in the Data Sufficiency forum
“Great research, Mitch! I can''t imagine there are many official questions that hinge entirely on that one (somewhat esoteric) construct. I mean, for the every question you cited, it doesn''t matter which side we call the length or the width. The correct answer is the same in all cases. It''s ...”
September 11, 2018
Brent@GMATPrepNow posted a reply to The perimeter of a rectangular garden is 360 ft. What is the in the Data Sufficiency forum
“Interesting. I''ve never heard of that construct. So, for a box with dimensions 3 x 4 x 5, then the side with length 5 is the length? Which dimension is the width? What about cases when the terms base and height are used? Which one is the base? In a way, this reminds me of the times when ...”
September 11, 2018
Brent@GMATPrepNow posted a reply to The aerth travels around the sun at a speed of approximately in the Problem Solving forum
“Another way to deal with calculating (18.5)(3600) is to use the answer choices to our advantage. First off, there''s a nice rule that says: AB = (2A)(0.5B) This strategy (which is covered in this video: https://www.gmatprepnow.com/module/general-gmat-strategies/video/1113) can sometimes save us ...”
September 11, 2018
Brent@GMATPrepNow posted a reply to What is the value of 22C19? in the Problem Solving forum
“Good point! I should have mentioned that I use a shortcut for calculating combinations that allows me to perform most calculations in my head. For example, for 22C3, I write the first 3 values of 22! in the numerator, and I write the 3! in the denominator So, 22C3 = (22)(21)(20)/(3)(2)(1) ...”
September 11, 2018
Brent@GMATPrepNow posted a reply to What is the value of 22C19? in the Problem Solving forum
“When calculating combinations, it''s sometime useful to apply the following rule: nCr = nC(n-r). In other words, "n choose r" is equal to "n choose n - r" So, for example: 10C7 = 10C3 12C9 = 12C3 8C7 = 8C1 etc. Here''s why this property works: Let''s say you have 22 ...”
September 11, 2018
Brent@GMATPrepNow posted a reply to The perimeter of a rectangular garden is 360 ft. What is the in the Data Sufficiency forum
“To my test-prep colleagues. I have to say that I''m a little surprised by the official answer (D). For statement 2, it could be the case that length = 120 and width = 60, OR it could be the case that length = 60 and width = 120 The assumption here is that the length of a rectangle must be ...”
September 11, 2018
Brent@GMATPrepNow posted a reply to Which of the following points could lie in the same quadrant in the Problem Solving forum
“Let''s test some coordinates... How about: a = 1 and b = -2. This means the point (a, b) = (1, -2), which is in QUADRANT IV Now plug a = 1 and b = -2 into each answer choice... A) (-b, -a) = -2), -1] = (2, -1), which is also in QUADRANT IV PERFECT! Answer: A Cheers, Brent”
September 11, 2018
Max@Math Revolution posted a new topic called What is the value of 22C19? in the Problem Solving forum
“22C19? A. 770 B. 1540 C. 3080 D. 4620 E. 6160”
September 11, 2018
Max@Math Revolution posted a new topic called Does y=ax^2+bx+c intersect the x-axis? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Does y=ax^2+bx+c intersect the x-axis? 1) a<0 2) c>0”
September 11, 2018
September 10, 2018
Brent@GMATPrepNow posted a reply to The sum of the ages of Doris and Fred is y years. If Doris in the Problem Solving forum
“Let F = Fred''s PRESENT age Doris is 12 years older than Fred. In other words, Doris'' age = F + 12. So, the sum of their ages = F + (F + 12) Simplify to get: sum of their ages = 2F + 12 The sum of the ages = y 2F + 12 = y Now solve for Fred''s age (F). Start with: 2F + 12 = y ...”
September 10, 2018
ceilidh.erickson posted a reply to Any decimal that has only a finite number of nonzero digits in the Data Sufficiency forum
“Here is further explanation on the logic of terminating decimals: https://www.beatthegmat.com/ds-decimals-and-ratio-combined-t182983.html#583298”
September 10, 2018
ceilidh.erickson posted a reply to A certain ice cream factory makes two flavors of ice cream: in the Data Sufficiency forum
“This question is faulty as written. We''re told: Then statement 1 says: If the only 2 varieties are over or under 20%, then it should be the case that if 80% is over 10% milk, the other 20% is under 10% milk, and this is the entire category of under-20%-milk. Instead, this implies that ...”
September 10, 2018
ceilidh.erickson posted a reply to Four men and three women make up a seven-member committee. in the Data Sufficiency forum
“For more examples of "when you see ''at least'', think of the opposite," see: https://www.beatthegmat.com/can-someone-please-give-me-the-reasoning-to-this-ds-problem-t32360.html https://www.beatthegmat.com/jury-selection-probability-t270645.html#698357 ...”
September 10, 2018
ceilidh.erickson posted a reply to Four men and three women make up a seven-member committee. in the Data Sufficiency forum
“Here''s a good general rule: whenever you see "AT LEAST" in a DS question, it helps to think: "when would that NOT be the case?" This question asks "does at least one man sit next to another man?" There are lots of ways to picture this happening, so how would it NOT ...”
September 10, 2018
ceilidh.erickson posted a reply to K is a rectangular solid. Find the volume of K in the Data Sufficiency forum
“You can easily test values to prove insufficiency. (1) a diagonal line across the front face of K has a length of 40 This give us limited information about 2 of our dimensions, but nothing about the 3rd. It''s easy to imagine 40 as the hypotenuse of a 3 : 4 : 5 triangle, so we can imagine ...”
September 10, 2018
ceilidh.erickson posted a reply to Bluegrass musician Bill Monroe, whose repertory, views on in the Sentence Correction forum
“This question is testing SUBJECT/VERB agreement, IDIOMS, and CONCISION. (A) were influential on generations of bluegrass artists, was also an inspiration to many musicians, that included Elvis Presley and Jerry Garcia, whose music differed significantly from - "that included" is not ...”
September 10, 2018
Brent@GMATPrepNow posted a reply to In the figure, ABCD is a square, and all the dots are in the Problem Solving forum
“If the vertical or horizontal distance between two adjacent dots is 3 units, then the square has dimensions 12 by 12 So, the area of the ENTIRE SQUARE = (12)(12) = 144 Now, notice that the square is comprised of 32 identical triangles https://i.imgur.com/mHC9rOY.png Since 16 of the triangles ...”
September 10, 2018
Brent@GMATPrepNow posted a reply to Is xy>0? in the Data Sufficiency forum
“Target question: Is xy > 0? Statement 1: x³y > 0 Since x² is POSITIVE, we can safely divide both sides of the inequality by x² When we do this, we get xy > 0 So, the answer to the target question is YES, xy IS greater than 0 Since we can answer the target question with ...”
September 10, 2018
Brent@GMATPrepNow posted a reply to If the circle above has center O and circumference 18π, the in the Problem Solving forum
“The circle has circumference 18π circumference = (2)(radius)(π) So, (2)(radius)(π) = 18π Solve to get: radius = 9 So, OR = 9 and OT = 9 Now, we''ll deal with arc RST Here the sector angle = 60° 60°/360° = 1/6 So, the arc RST represents 1/6 of the ENTIRE circle Since the ENTIRE ...”
September 10, 2018
Brent@GMATPrepNow posted a reply to Any decimal that has only a finite number of nonzero digits in the Data Sufficiency forum
“Target question: Is r/s a terminating decimal? Statement 1: 90 < r < 100 There are several pairs of values that meet this condition. Here are two: Case a: r = 91 and s = 2, in which case r/s = 91/2 = 45.5 = a terminating decimal Case b: r = 91 and s = 3, in which case r/s = 91/3 = ...”
September 10, 2018
Brent@GMATPrepNow posted a reply to In a certain pond, 50 fish were caught, tagged, and returned in the Problem Solving forum
“We can use equivalent ratios here. We''re told that the proportion of tagged fish in the 50-fish SAMPLE is equal to the the proportion of tagged fish in the ENTIRE pond. So, (# tagged fish in SAMPLE)/50 = (total # tagged fish)/(total # of fish in POND) Let x = # of fish in the entire ...”
September 10, 2018
Max@Math Revolution posted a new topic called If 5^{m-2}2^{m+2} is an n-digit integer, where m is an inte in the Problem Solving forum
“[Math Revolution GMAT math practice question] If 5^{m-2}2^{m+2} is an n-digit integer, where m is an integer greater than 2, what is the value of n, in terms of m? A. n=m-4 B. n=m-2 C. n=m-1 D. n=m E. n=2m”
September 10, 2018
Max@Math Revolution posted a new topic called Is xy>0? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is xy>0? 1) x^3y>0 2) x^2y>0”
September 10, 2018
Max@Math Revolution posted a reply to If n is the greatest positive integer for which 5^n is a fac in the Problem Solving forum
“=> 50! = 1*2*…*5*…*10*…*15*…*20*…*25*…*30*…*35*…*40*…*45*…*50 =1*2*…*(5)…*(2*5)*…*(3*5)*…*(4*5)*…*(52)*…*(6*5)*…*(7*5)*…*(8*5)*…*(9*5)*…*(2*5^2) Since 5 is a prime number, no further factors of 5 appear in the prime factorization of 50!. The number of 5s ...”
September 10, 2018
Max@Math Revolution posted a reply to What is the sum of roots of the equation x^2 – 40x + 399 = in the Problem Solving forum
“=> Let p and q be the roots of the equation x^2 – 40x + 399 = 0. Then x^2 – 40x + 399 = (x-p)(x-q) = x^2 – (p+q)x + pq. Equating coefficients gives p + q = 40 from the coefficient of x. Therefore, the answer is D. Answer: D”
September 10, 2018
Max@Math Revolution posted a reply to What is the value of the 2-digit positive integer n if its in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
September 10, 2018
Max@Math Revolution posted a reply to What is the area of the above triangle? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
September 10, 2018
Brent@GMATPrepNow posted a reply to permutation/combination in the Problem Solving forum
“This question is a little too ambiguous to be an official GMAT question. Let''s say X, Y and Z represents 3 different songs. Is an album with song X first, song Y second and song Z third considered DIFFERENT FROM an album with song Z first, song X second and song Y third? The answer to this ...”
September 9, 2018
Brent@GMATPrepNow posted a reply to Sam's car was fined when he gave Joe and Peter a ride, so in the Problem Solving forum
“Hey Mitch, I think you answered the question "What was the cost of the fine?" (which IS, indeed, $48), but we''re asked to determine the dollar amount that Sam paid (=$20). Cheers, Brent”
September 9, 2018
Brent@GMATPrepNow posted a reply to On Monday morning a certain machine ran continuously at a un in the Data Sufficiency forum
“Here''s a similar question to practice with: https://www.beatthegmat.com/on-wednesday-morning-a-fortune-cookie-machine-ran-t301683.html Cheers, Brent”
September 9, 2018
Brent@GMATPrepNow posted a reply to Sam's car was fined when he gave Joe and Peter a ride, so in the Problem Solving forum
“Let F = the total cost of the fine Joe paid $3 more than 1/4 of the fine So, F/4 + 3 = the amount Joe paid Peter paid$3 less than 1/3 of the fine So, F/3 - 3 = the amount Peter paid Sam paid $4 less than 1/2 the fine So, F/2 - 4 = the amount Sam paid (amount Joe paid) + (amount Peter ...” September 8, 2018 Brent@GMATPrepNow posted a reply to What is the area of a triangle with the following vertices in the Problem Solving forum “Now that you know the technique, you can practice your speed with this one: http://www.beatthegmat.com/coordinate-geometry-t116975.html Cheers, Brent” September 8, 2018 Brent@GMATPrepNow posted a reply to In the xy-plane, the line k passes through the origin and in the Data Sufficiency forum “Target question: Is b (the y-coordinate of the point on the line) positive? Given: Line k passes through the origin and through the point (a,b) Statement 1: The slope of line k is negative There are several lines and points that satisfy statement 1. Here are two: Case a: ...” September 8, 2018 Brent@GMATPrepNow posted a reply to Out of 2 broken TV sets and 6 fixed TV sets in Joe's Fix-My- in the Problem Solving forum “There are 8 TV''s in total 2 are broken 6 are fixed We want to find P(at least one TV is broken) When it comes to probability questions involving at least, it''s often best to try using the complement. That is, P(Event A happening) = 1 - P(Event A not happening) So, here we get: P(getting ...” September 8, 2018 Brent@GMATPrepNow posted a reply to what percent were stockholders who were not employees? in the Problem Solving forum “Let''s 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 attendees, and the two characteristics are: - stockholder ...” September 7, 2018 Brent@GMATPrepNow posted a reply to Geometry and Angles (My weakness) in the Problem Solving forum “Here''s an idea of what''s going on.... https://i.imgur.com/Deg4te0.png When we compare the big triangle with the BASE 30-60-90 special triangle (which you must memorize for test day!), we can see that the hypotenuse of the big triangle is 35 times as long as the hypotenuse of the base triangle. ...” September 7, 2018 Brent@GMATPrepNow posted a reply to Digging in sediments in northern China, evidence has been in the Sentence Correction forum “Important: When a sentence begins with a with noun modifier (as it does in the above sentence), stop at the comma and ask the question that the modifier raises. So, once we read, Digging in sediments in northern China, we should stop and ask . . . "Who or what was digging in ...” September 7, 2018 Brent@GMATPrepNow posted a reply to OG City Council Member Q in the Critical Reasoning forum “PREMISE: Electricity demands increase 1.5% per year PREMISE: No space to build more power plants CONCLUSION: We must use LESS electricity through ordinances Strategy #1: Try to think of an assumption that''s required for the conclusion to logically follow from the premises. Notice that ...” September 7, 2018 Brent@GMATPrepNow posted a reply to Working simultaneously and independently at an identical con in the Problem Solving forum “Let''s assign a nice value to x (a value that will work well with all of the numbers 3, 4 and 6. Let''s say x = 24 GIVEN: 4 machines make x units in 6 days This means 4 machines make 24 units in 6 days So, 4 machines make 4 units in 1 day So, 1 machine makes 1 unit in 1 day From here, ...” September 7, 2018 Brent@GMATPrepNow posted a reply to What is the value of the 2-digit positive integer n if its in the Data Sufficiency forum “Target question: What is the value of the 2-digit positive integer n Given: Its tens digit is four times its units digit This is VERY LIMITING information. In fact, this tells us that EITHER n = 41 OR n = 82 There are no other possible values of n. Statement 1: n is an even number ...” September 7, 2018 Brent@GMATPrepNow posted a reply to A refrigerator holds a number of apples, bananas, carrots an in the Data Sufficiency forum “Be careful. If you feel that the ratio A : B : C : D = 2x : 5x : 3x : 7x, then you''d be able to answer the target question WITHOUT using any statements. Cheers, Brent” September 7, 2018 Brent@GMATPrepNow posted a reply to Which of the following points is the intersection between in the Problem Solving forum “KEY CONCEPT: The point of intersection (call P) of the lines y = 3x + 6 and y = -2x - 4 will be such that the x- and y-coordinates of P will satisfy BOTH equations. Since both equations are set equal to y, we can write: 3x + 6 = -2x - 4 Add 2x to both sides: 5x + 6 = - 4 Subtract 6 from both ...” September 7, 2018 Brent@GMATPrepNow posted a reply to If a mixture of ground meat consists of 2 pounds of veal in the Problem Solving forum “We can use the WEIGHTED AVERAGE formula: Weighted average of groups combined = (group A proportion)(group A average) + (group B proportion)(group B average) + (group C proportion)(group C average) + ... When we COMBINE the meats, the TOTAL weight = 2 + 5 = 7 pounds. So, veal comprises 2/7 of ...” September 7, 2018 Max@Math Revolution posted a new topic called If n is the greatest positive integer for which 5^n is a fac in the Problem Solving forum “[Math Revolution GMAT math practice question] If n is the greatest positive integer for which 5^n is a factor of 50!, what is the value of n? A. 10 B. 11 C. 12 D. 13 E. 14” September 7, 2018 Max@Math Revolution posted a reply to If r is a positive integer, n=r^3 and 4,14, and 27 are facto in the Problem Solving forum “=> Since 4 = 2^2,14 = 2*7, 27 = 3^3 are factors of n and n is a perfect cube, the smallest possible value of n is 2^3*3^3*7^3. When n = 2^3*3^3*7^3, 16 = 2^4, 32 = 2^5, 48=2^4*3 and 64 = 2^6 can’t be factors of n. The only answer choice that is a factor of n is 36 = 2^2*3^2. ...” September 7, 2018 Max@Math Revolution posted a new topic called What is the value of the 2-digit positive integer n if its in the Data Sufficiency forum “[Math Revolution GMAT math practice question] What is the value of the 2-digit positive integer n if its tens digit is four times its units digit? 1) n is an even number 2) The units digit of n is greater than 1” September 7, 2018 Max@Math Revolution posted a reply to The numbers x, y and z are in the ratio 3 to 4 to 5. What is in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method I s the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” September 7, 2018 Brent@GMATPrepNow posted a reply to Last year the price per share of Stock X increased by k in the Problem Solving forum “One approach is to plug in values. Let$100 be the original price per share of Stock X Choose a "nice" value for k. How about k = 200 So, after a 200% increase, the new price per share = $300 Let$100 be the original earnings per share of Stock X Choose a "nice" ...”
September 6, 2018
Brent@GMATPrepNow posted a reply to If 3x + 2y = -2z, what is x? in the Data Sufficiency forum
“Target question: What is the value of x? Given: 3x + 2y = -2z Notice that the two statements have the variables all on the left side of the equation. So, let''s rearrange our given equation to look the same. Take: 3x + 2y = -2z Add 2z to both sides to get: 3x + 2y + 2z = 0 Statement ...”
September 6, 2018
Brent@GMATPrepNow posted a reply to The selling price of an article is equal to the cost of the in the Data Sufficiency forum
“Let C = cost of article Target question: The markup on a certain television set is what percent of the selling price? Statement 1: The markup on the television set is 25 percent of the cost. If C = cost of article, markup = 0.25C Selling price = cost + markup = C + 0.25C = 1.25C So, ...”
September 6, 2018
Max@Math Revolution posted a new topic called What is the sum of roots of the equation x^2 – 40x + 399 = 0 in the Problem Solving forum
“[Math Revolution GMAT math practice question] What is the sum of roots of the equation x^2 – 40x + 399 = 0? A. 19 B. 20 C. 21 D. 40 E. 399”
September 6, 2018
Max@Math Revolution posted a reply to If x and y are integers, what is the least possible positive in the Problem Solving forum
“=> 21x + 35y = 7*3x + 7*5y = 7(3x+5y) is a multiple of 7. The smallest positive multiple of 7 is 7. So, we look for x and y such that 21x + 35y = 7. This will occur when 3x + 5y = 1. When x = 2 and y = -1, 3x + 5y = 3*2 + 5*(-1) = 6 – 5 = 1, and 21x + 35y = 7(3x+5y) = 7(1) = 7. Thus, 7 ...”
September 6, 2018
Max@Math Revolution posted a new topic called What is the area of the above triangle? in the Data Sufficiency forum
“https://s8.postimg.cc/iobpgxiht/9.6.png What is the area of the above triangle? 1) y=z 2) y+z=10”
September 6, 2018
Max@Math Revolution posted a reply to Is n an odd number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
September 6, 2018
ceilidh.erickson posted a reply to I cud beat the GMAT: from 680(50,32) to 740(50,40)[97%] in the I just Beat The GMAT! forum
“First of all - CONGRATULATIONS!! That''s a fantastic score, and I hope you''re gotten into fantastic schools. Secondly, this is such a helpful and thorough breakdown - I''m sure others have found it very helpful. Thirdly, I''m so glad that you found the Manhattan Prep GMAT materials helpful!”
September 5, 2018
ceilidh.erickson posted a reply to An assumption question - salt cause high blood pressure, in the Critical Reasoning forum
“I see what you mean here. One way to read it is "1. THESE facts don''t establish salt as the culprit, but some OTHER facts might establish salt as the culprit" rather than "2. these facts do not suggest SALT as the culprit, because there is some other culprit." I think both of ...”
September 5, 2018
ceilidh.erickson posted a reply to GMATPrep: The number of applications for teaching in the Critical Reasoning forum
“For more on using this process for DISCREPANCY problems, see: https://www.beatthegmat.com/erythrovirus412-t289423.html#767088 https://www.beatthegmat.com/critical-reasoning-t278017.html#725224 https://www.beatthegmat.com/resolve-the-paradox-t275859.html#717366 ...”
September 5, 2018
Brent@GMATPrepNow posted a reply to Last year, a certain public transportation system sold an in the Problem Solving forum
“The word "closest" suggests that we can use some estimation here. Let''s first estimate the number of tickets sold PER WEEK 41,000 tickets per day on weekdays (5)(41,000) = 205,000 18,000 tickets per day on weekends (2)(18,000) = 36,000 So, total tickets sold PER WEEK = ...”
September 5, 2018
ceilidh.erickson posted a reply to GMATPrep: The number of applications for teaching in the Critical Reasoning forum
“I''m happy to help! Here is the general process you should use for EXPLAIN DISCREPANCY problems: 1. Evaluate the given circumstance / phenomenon. 2. Think about what you would have expected / what the normal outcome would likely have been (this is usually unstated). 3. Think about why that''s ...”
September 5, 2018
Brent@GMATPrepNow posted a reply to In the xy-coordinate system, line k has slope 1/2 and passes in the Problem Solving forum
“While a sample size of 28 might not be a large enough to make prove/validate my recommendations, I can tell you that, from my experience, the correct answer to these kinds of questions is typically closer to E than to A. That said, if it were the case that, with this question type, the correct ...”
September 5, 2018
Brent@GMATPrepNow posted a reply to In the figure above, what is the perimeter of rectangle ABPQ in the Data Sufficiency forum
“Target question: What is the perimeter of rectangle ABPQ? Statement 1: The area of rectangular region ABCD is 3 times the area of rectangular region ABPQ. Since we aren''t given any information regarding ACTUAL lengths, we cannot determine the perimeter of rectangle ABPQ Since we cannot ...”
September 5, 2018
Brent@GMATPrepNow posted a reply to The numbers x and y are NOT integers. The value of x is in the Data Sufficiency forum
“Target question: The value of x is closest to which integer? Let''s head straight to........... Statements 1 and 2 combined There are several values of x and y that satisfy BOTH statements. Here are two: Case a: x = 2.4 and y = 1.4. These values satisfy both statements. In this case, ...”
September 5, 2018
Brent@GMATPrepNow posted a reply to An insurance company sells only one type of health and one in the Data Sufficiency forum
“Let H = the number of health insurance policies Let L = the number of life insurance policies Let p = the monthly premium on a life insurance policy So, 80H + pL = 5000 Target question: What is the value of p? Statement 1: The total revenue from health insurance premiums was 4/5 of ...”
September 5, 2018
Brent@GMATPrepNow posted a reply to 8 cities, including Memphis, are finalists to be chosen to in the Data Sufficiency forum
“Target question: What is the probability that Memphis is not chosen? ASIDE: At first glance, it may seem like we already have enough information the answer the target question. After all, if there are 8 cities, then P(Memphis is chosen) = 1/8, which means Memphis is not chosen) = 7/8, right? ...”
September 5, 2018
Brent@GMATPrepNow posted a reply to In the xy-coordinate system, line k has slope 1/2 and passes in the Problem Solving forum
“Let''s first determine the equation of line k A quick approach is the write the equation of line k in slope y-intercept form: y = mx + b, where m = slope and b = y-intercept. We''re told that the slope = 0.5 and the point (0,5) tells us that the y-intercept is 5 So, the equation of line k is: ...”
September 5, 2018
Brent@GMATPrepNow posted a reply to A certain company assigns employees to offices in such a way in the Problem Solving forum
“ASIDE: When the answer choices are small, you should also consider listing and counting Let X, Y and Z be the 3 employees. Let A and B be the 2 offices. We''ll list the possible outcomes as follows: (employees in office A | employees in office B) So, we get: ( XYZ | -- ) ( XY |Z ) ( XZ ...”
September 5, 2018
Brent@GMATPrepNow posted a reply to A certain company assigns employees to offices in such a way in the Problem Solving forum
“Let X, Y and Z be the 3 employees. Let A and B be the 2 offices. Take the task of assigning the employees and break it into stages. Stage 1: Assign employee X to an office There two options (office A or office B), so we can complete stage 1 in 2 ways Stage 2: Assign employee Y to an ...”
September 5, 2018
Max@Math Revolution posted a new topic called If r is a positive integer, n=r^3 and 4,14, and 27 are facto in the Problem Solving forum
“[Math Revolution GMAT math practice question] If r is a positive integer, n=r^3 and 4,14, and 27 are factors of n, which of the following must be a factor of n? A. 16 B. 32 C. 36 D. 48 E. 64”
September 5, 2018
Max@Math Revolution posted a reply to Which of the following lines is perpendicular to y=(1/2)x? in the Problem Solving forum
“=> Two lines are perpendicular if and only if the product of their slopes is -1. Since (1/2)*(-2) = -1, the slope of the line perpendicular to y = (1/2)x is -2. The only answer choice with a slope of -2 is A. Therefore, A is the answer. Answer: A”
September 5, 2018
Max@Math Revolution posted a new topic called The numbers x, y and z are in the ratio 3 to 4 to 5. What is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] The numbers x, y and z are in the ratio 3 to 4 to 5. What is the value of x? 1) y = 16 2) The difference between y and z is 4”
September 5, 2018
Max@Math Revolution posted a reply to Is xy<1? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
September 5, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
September 5, 2018
Brent@GMATPrepNow posted a reply to A baker makes chocolate cookies and peanut cookies. His in the Problem Solving forum
“We''re looking for the smallest possible number of chocolate chip cookies. So, let''s start by testing answer choice A A) If we make 7 chocolate chip cookies, then the remaining 88 cookies are peanut cookies. We''re told that peanut cookies are baked in batches of 6 However, 88 is NOT ...”
September 4, 2018
Brent@GMATPrepNow posted a reply to If x and y are integers, what is the least possible positive in the Problem Solving forum
“Another approach: There''s a nice rule that says: If j, k and d are integers, and j is a multiple of d, and k is a multiple of d, then (j+k) must be a multiple of d 21x is a multiple of 7 (since 21x = 7(3x) 35y is a multiple of 7 (since 35y = 7(5y) Since 21x and 35y are multiples of 7, the ...”
September 4, 2018
Brent@GMATPrepNow posted a reply to If x and y are integers, what is the least possible positive in the Problem Solving forum
“21x + 35y = 7(3x + 5y) Since x and y are INTEGERS, we know that 3x and 5y are each INTEGERS, which means 3x + 5y equals some integer So, we can write: 21x + 35y = 7(some integer) In other words, 21x + 35y is a multiple of 7 Check the answer choices.....only D is a multiple of 7 Answer: D ...”
September 4, 2018
Brent@GMATPrepNow posted a reply to standard deviation in the Data Sufficiency forum
“Target question: Is the standard deviation of the set positive? KEY CONCEPT: If all of the numbers in a set are EQUAL, then the standard deviation = 0 If the numbers in a set are NOT all equal, then the standard deviation > 0 Given: The set consists of a certain number of even integers ...”
September 4, 2018
Brent@GMATPrepNow posted a reply to permutation/combination in the Problem Solving forum
“Here''s an algebraic solution... Let M = TOTAL number of men (including Mr. Smith) at the party Let W = TOTAL number of women (including Mrs. Smith) at the party Since Mr. Smith does not shake hands with HIMSELF, Mr. Smith shakes hands with M-1 men, and he shakes hands with W women Since ...”
September 4, 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 ...”
September 4, 2018
Brent@GMATPrepNow posted a reply to Triathlete Dan runs along a 2-mile stretch of river and then in the Problem Solving forum
“Average speed = (total distance)/(total time) We know the total distance = 4 miles The total time consists of two parts: Let''s begin with a "word equation" TOTAL time = (time spent running) + (time spent swimming) time = distance/speed So, time spent running = 2/10 = 1/5 hours ...”
September 4, 2018
Brent@GMATPrepNow posted a reply to At a garage sale, all of the prices of the items sold were in the Problem Solving forum
“The price of the radio was the 15th highest price So, there were 14 items that were more expensive than the radio. In other words, if we listed all of the prices in ascending order, we''d get something like: ........... radio, X, X, X, X, X, X, X, X, X, X, X, X, X, X The price of the radio ...”
September 4, 2018
Brent@GMATPrepNow posted a reply to The average television prime-time advertising unit of 30 in the Problem Solving forum
“We can also quickly solve this question by testing the answer choices.... Start with C (40%) 40% of $30,000 =$12,000 So, a 40% increase (from 1973 to 1977) = $30,000 +$12000 = $42,000 No good. We need to new amount to be$50,000 ELIMINATE C Since $42,000 is less than$50,000, we need a ...”
September 4, 2018
Brent@GMATPrepNow posted a reply to Each of the following numbers has a remaider of 2 when in the Problem Solving forum
“ASIDE: 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: ...”
September 4, 2018
Brent@GMATPrepNow posted a reply to At a certain hospital, 75% of the interns receive fewer than in the Problem Solving forum
“I thought I''d point out that Mitch''s Double Matrix approach 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 interns, and the two characteristics are: - less than 6 hours sleep or 6 or more ...”
September 4, 2018
Brent@GMATPrepNow posted a reply to DS_Arithmetic in the Data Sufficiency forum
“Target question: What is the tenth digit in the decimal representation of a certain number? Jump straight to..... Statements 1 and 2 combined Statement 1 tells us that the number is less than 1/3 (aka 0.333333....) Statement 2 tells us that the number is greater than 1/4 (aka 0.25) ...”
September 4, 2018
Max@Math Revolution posted a new topic called If x and y are integers, what is the least possible positive in the Problem Solving forum
“[Math Revolution GMAT math practice question] If x and y are integers, what is the least possible positive value of 21x+35y? A. 1 B. 3 C. 5 D. 7 E. 9”
September 4, 2018
Max@Math Revolution posted a new topic called The numbers x, y and z are in the ratio 3 to 4 to 5. What is in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] Is n an odd number? 1) n is the sum of 2 prime numbers 2) n is a multiple of 11”
September 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to The variable x takes on integer values between 1 and 7 in the Problem Solving forum
“Hi All, We''re told that the variable X takes on integer values between 1 and 7 inclusive as shown above (meaning that out of a total of 15 values, there are three 1s, one 2, three 3s, one 4, etc.). We''re asked for the probability that the absolute value of the DIFFERENCE between the MEAN (re: ...”
September 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to Standard Deviation Problem in the Problem Solving forum
“Hi All, We''re told that for a certain examination, a score of 58 was 2 standard deviations BELOW the mean and a score of 98 was 3 standard deviations ABOVE the mean. We''re asked for the mean score for the examination. The math behind this question is just basic Algebra, but depending on how ...”
September 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT PREP ? (TableSpoons) in the Problem Solving forum
“Hi All, We''re told that 3 teaspoons = 1 tablespoon and 4 tablespoons = 1/4 cup. We''re asked for the number of teaspoons that are equal to 3/8 cup. This question is a big ''unit conversion'' question and includes a big ''design shortcut'' that you can use to avoid most of the math. To start, ...”
September 4, 2018
Brent@GMATPrepNow posted a reply to permutation/combination in the Problem Solving forum
“This question is a little too ambiguous to be a true (official) GMAT question. Does order matter here? For example, is E driving, A in passenger seat, G in middle of back seat, and C in left side of back seat DIFFERENT FROM C driving, A in passenger seat, E in middle of back seat, and G in left ...”
September 3, 2018
Brent@GMATPrepNow posted a reply to A store sold 6 bicycles with an average sale price of $1,000 in the Data Sufficiency forum “Target question: What was the price of the most expensive bicycle? Given: The store sold 6 bicycles with an average sale price of$1,000. This means the SUM of the 6 bikes = $6000 (since$6000/6 bikes = $1000 average) Statement 1: The median price was$1,000. This statement doesn''t ...”
September 3, 2018
Brent@GMATPrepNow posted a reply to Alex paid a $12 fee to receive a 10% discount off of the in the Problem Solving forum “IMPORTANT: If Alex received a 10% discount, then Alex PAID 90% of the cost of the books If Victor received a 15% discount, then Victor PAID 85% of the cost of the books Start with a word equation Total amount Alex paid = Total amount Victor paid We get:$12 + 90% of b = $15 + 85% of b ...” September 3, 2018 Brent@GMATPrepNow posted a reply to Paula and Sandy were among those people who sold raffle in the Data Sufficiency forum “Target question: How many of the tickets did Paula sell? Given: Paula and Sandy sold a total of 100 of the tickets Let x = number of tickets that Paula sold This means 100-x = number of tickets that Sandy sold Statement 1: Sandy sold 2/3 as many of the raffle tickets as Paula did. We ...” September 3, 2018 Brent@GMATPrepNow posted a reply to Six children — A, B, C, D, E, and F — are going to sit i in the Problem Solving forum “Here are a few similar questions to practice with: - http://www.beatthegmat.com/permutation-t261691.html - http://www.beatthegmat.com/vowels-and-consonants-arrangement-t149946.html - http://www.beatthegmat.com/how-many-possible-orders-t277574.html Cheers, Brent” September 3, 2018 Max@Math Revolution posted a new topic called Which of the following lines is perpendicular to y=(1/2)x? in the Problem Solving forum “[Math Revolution GMAT math practice question] Which of the following lines is perpendicular to y=(1/2)x? A. y=-2x B. y=x/2 C. y=2x D. y=-x/2 E. y=x” September 3, 2018 Max@Math Revolution posted a new topic called Is xy<1? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] Is xy<1? 1) x^2+y^2 < 1 2) x + y < 1” September 3, 2018 Rich.C@EMPOWERgmat.com posted a reply to Alex paid a$12 fee to receive a 10% discount off of the in the Problem Solving forum
“Hi All, We''re told that Alex paid a $12 fee to receive a 10% discount off of the list price on all books he bought in a six-month period and Victor paid a$15 fee to receive a 15% discount off of the list price on all books he bought in the same period. We''re told that EACH person bought books ...”
September 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to Six children — A, B, C, D, E, and F — are going to sit i in the Problem Solving forum
“Hi All, We''re told that six children - A, B, C, D, E, and F - are going to sit in six chairs in a row, but Child E must be somewhere to the LEFT of Child F. We''re asked for the number of possible configurations of the children. This question is a permutation question with a small twist - and ...”
September 3, 2018
Max@Math Revolution posted a reply to When n is an odd integer, f(n)=3^n and when n is an even int in the Problem Solving forum
“=> Since n = 2^5 is an even integer, f(2^5) = 4^2^{5/2}=4^2^4=(2^2)^{16}=2^{32}. Therefore, the answer is E. Answer: E”
September 3, 2018
Max@Math Revolution posted a reply to A jar contains 16 red balls and 8 white balls. If 3 balls ar in the Problem Solving forum
“=> There are 24C3 ways of choosing 3 balls from the 24 in the jar, and 8C3 ways of choosing 3 balls from the 8 white balls. Therefore, the probability of choosing 3 white balls from the jar is: 8C3 / 24C3 = { (8*7*6) / (1*2*3) } / { (24*23*22) / (1*2*3) } = (8*7*6) / (24*23*22) = 7 / ( 23* ...”
September 3, 2018
Max@Math Revolution posted a reply to What is the area of a triangle? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. When we ...”
September 3, 2018
Max@Math Revolution posted a reply to What is the range of 10 numbers? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since ...”
September 3, 2018
Brent@GMATPrepNow posted a reply to integers in the Problem Solving forum
“Here''s one way to look at it. Write all of the numbers as 3-digit numbers. That is, 000, 001, 002, 003, .... 998, 999 NOTE: Yes, I have started at 000 and ended at 999, even though though the question asks us to look at the numbers from 1 to 1000. HOWEVER, notice that 000 and 1000 do not ...”
September 1, 2018
Brent@GMATPrepNow posted a reply to How many positive integers less than 2*10^4 are there in in the Problem Solving forum
“In other words, "How many positive integers less than 20,000 are there in which each digit is a prime number?" The prime digits are: 2, 3, 5 and 7 Notice that, using the digits 2, 3, 5 and 7, we cannot create a 5-digit number that''s less than 20,000 So, we must consider 4 possible ...”
September 1, 2018
Brent@GMATPrepNow posted a reply to Each baseball team in a league has a roster of players in in the Problem Solving forum
“There are 2 pitchers for every 3 fielders So, out of every 5 players, there are 2 pitchers. So, in ONE 25-player team, there are 10 pitchers (and 15 fielders) So, if there are 12 teams, and there are 10 pitchers and 15 fielders per team, then... TOTAL number of pitchers = (12)(10 ) TOTAL ...”
September 1, 2018
Brent@GMATPrepNow posted a reply to Which of the following are/is prime? in the Problem Solving forum
“I. 143 143 = (11)(13) Since 143 is NOT prime, we can ELIMINATE C, D and E II. 147 Notice that 147 = 140 + 7 Since 140 is divisible by 7, and 7 is divisible by 7, we know that 147 is divisible by 7. Since 147 is NOT prime, we can ELIMINATE A So, the answer (by the process of elimination) ...”
September 1, 2018
Brent@GMATPrepNow posted a reply to A certain library assesses fines for overdue books as in the Problem Solving forum
“1st day - $0.10 2nd day -$0.20 or $0.40 (double or add$0.30) $0.20 is the lesser amount 3rd day -$0.40 or $0.50 (double or add$0.30) $0.40 is the lesser amount 4th day -$0.80 or $0.70 (double or add$0.30) $0.70 is the lesser amount The correct answer is B Cheers, Brent” August 31, 2018 Max@Math Revolution posted a new topic called When n is an odd integer, f(n)=3^n and when n is an even int in the Problem Solving forum “[Math Revolution GMAT math practice question] When n is an odd integer, f(n)=3^n and when n is an even integer, f(n)=4^n/2. What is the value of f(2^5)=? A. 2^5 B. 3^11 C. 3^12 D. 3^13 E. 2^32” August 31, 2018 Max@Math Revolution posted a reply to What is the units digit of (3^{101})(7^{103})? in the Problem Solving forum “=> The units digit is the remainder when (3^101)(7^103) is divided by 10. The remainders when powers of 3 are divided by 10 are 3^1: 3, 3^2: 9, 3^3: 7, 3^4: 1, 3^5: 3, … So, the units digits of 3^n have period 4: They form the cycle 3 -> 9 -> 7 -> 1. Thus, 3^n ...” August 31, 2018 Max@Math Revolution posted a new topic called What is the area of a triangle? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] What is the area of a triangle? 1) The triangle is isosceles. 2) Two sides of the triangle are 10.” August 31, 2018 Max@Math Revolution posted a reply to Does x^2+px+q = 0 have a root? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” August 31, 2018 Brent@GMATPrepNow posted a reply to The Hazelton coal-processing plant is a major employer in in the Critical Reasoning forum “PREMISE: Coal plant will be shut down it it doesn''t upgrade PREMISE: Expensive upgrade will force company to close, UNLESS it receives tax break PREMISE: To PREVENT increase in local unemployment, government may grant tax break IMPORTANT: the government''s goal is to PREVENT an increase in ...” August 30, 2018 Brent@GMATPrepNow posted a reply to Angela has 15 pairs of matched socks. If she loses 7 in the Problem Solving forum “We can also systematically eliminate 4 of the 5 answer choices. Let''s say the 15 PAIRS of socks are as follows: AA, BB, CC, DD, EE, FF, GG, HH, II, JJ, KK, LL, MM, NN, OO Let''s first see what happens if we "lose" 7 unmatched socks. Say, we lose, A, B, C, D, E, F, G We get: A, B, ...” August 30, 2018 Brent@GMATPrepNow posted a reply to What is the range of 10 numbers? in the Data Sufficiency forum “Target question: What is the range of 10 numbers? Statement 1: The average (arithmetic mean) of the 10 numbers is 10 Let''s TEST some values. There are several sets of numbers that satisfy statement 1. Here are two: Case a: the numbers are {10, 10, 10, 10, 10, 10, 10, 10, 10, 10}. In this ...” August 30, 2018 Brent@GMATPrepNow posted a reply to A jar contains 16 red balls and 8 white balls. If 3 balls ar in the Problem Solving forum “There are 24 balls in the jar (before any are removed) P(all 3 balls are white) = P(1st ball is white AND 2nd ball is white AND 3rd ball is white) = P(1st ball is white) x P(2nd ball is white) x P(3rd ball is white) = 8/24 x 7/23 x 6/22 = 1/3 x 7/23 x 3/11 = 7/253 ASIDE: rather than ...” August 30, 2018 Brent@GMATPrepNow posted a reply to Pumping alone at their respective constant rates, one inlet in the Problem Solving forum “Let''s assign a nice value to the volume of the tank. We want a volume that works well with the given information (1/2, 2/3, 3 hours and 6 hours). So, let''s say the tank has a total volume of 18 gallons One inlet pipe fills an empty tank to 1/2 of capacity in 3 hours 1/2 the tank is 9 ...” August 30, 2018 Brent@GMATPrepNow posted a reply to At a constant rate of flow, it take 20 minutes to fill a in the Problem Solving forum “Let''s assign a nice value to the volume of the pool. We want a volume that works well with the given information (20 minutes and 30 minutes). So, let''s say the pool has a total volume of 60 gallons It takes 20 minutes to fill a swimming pool with a LARGE hose In other words, the LARGE hose ...” August 30, 2018 Brent@GMATPrepNow posted a reply to If 4 is one solution of the equation x^2 + 3x + k = 10, in the Problem Solving forum “Let''s first determine the value of k. Since x = 4 is a solution to the equation x² + 3x + k = 10, we know that x = 4 SATISFIES the equation. That is: 4² + 3(4) + k = 10 Evaluate to get: 16 + 12 + k = 10 Solve for k to get: k = -18 So, the ORIGINAL equation is x² + 3x + (-18) = 10 ...” August 30, 2018 Max@Math Revolution posted a new topic called A jar contains 16 red balls and 8 white balls. If 3 balls ar in the Problem Solving forum “[Math Revolution GMAT math practice question] A jar contains 16 red balls and 8 white balls. If 3 balls are selected at random from the jar, what is the approximate probability that all balls selected are white? A. 0.02 B. 0.03 C. 0.04 D. 0.05 E. ...” August 30, 2018 Max@Math Revolution posted a reply to What is the sum of all multiples of 3 between 1 and 200? in the Problem Solving forum “=> We need to find the sum of 3, 6, …, 198. The number of data values is (198 – 3)/3 + 1 = 195/3 + 1 = 65 + 1 = 66. Thus the sum of 3, 6, …, 198 is 3 + 6 + … + 198 = 3+6+…+198=3(1+2+…+66)=3(66)(66+1)/2=3(33)(67)=6,633. Therefore, the answer is C. Answer: C” August 30, 2018 Max@Math Revolution posted a new topic called What is the range of 10 numbers? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] What is the range of 10 numbers? 1) The average (arithmetic mean) of the 10 numbers is 10 2) The greatest of the 10 numbers is 15” August 30, 2018 Max@Math Revolution posted a reply to Is xy>0? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” August 30, 2018 Brent@GMATPrepNow posted a reply to In a certain summer school program, there are five periods in the Problem Solving forum “Take the Science, and Science Lab classes and "glue" them together to get the super class "Science-Science-Lab" This ensures that Science Lab immediately follows the Science class So, we now have only 4 classes: English, Math, History and Science-Science-Lab We can arrange ...” August 29, 2018 Max@Math Revolution posted a new topic called What is the units digit of (3^{101})(7^{103})? in the Problem Solving forum “[Math Revolution GMAT math practice question] What is the units digit of (3^{101})(7^{103})? A. 1 B. 3 C. 5 D. 7 E. 9” August 29, 2018 Max@Math Revolution posted a reply to If x and y are positive integers and xy=36, what is the smal in the Problem Solving forum “=> When we know the product of two numbers, the sum of those numbers is a minimum when the two numbers are equal. Since xy = 36, the minimum value of x + y occurs when x = y = 6. It is 6 + 6 = 12. Therefore, D is the answer. Answer: D” August 29, 2018 Max@Math Revolution posted a new topic called Does x^2+px+q = 0 have a root? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] Does x^2+px+q = 0 have a root? 1) p<0 2) q<0” August 29, 2018 Max@Math Revolution posted a reply to If m and n are integers greater than 1, is m^n>500? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” August 29, 2018 Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum “To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...” August 29, 2018 Brent@GMATPrepNow posted a reply to Is the measure of one of the interior angles of in the Data Sufficiency forum “Target question: Is the measure of one of the interior angles of quadrilateral ABCD equal to 60? Key concept: the 4 angles in a quadrilateral must add to 360 degrees Statement 1: Two of the interior angles of ABCD are right angles. Let''s test some possible cases. There are infinitely ...” August 28, 2018 Brent@GMATPrepNow posted a reply to Solution X, which is 50% alcohol, is combined with solution in the Problem Solving forum “When solving mixture questions, I find it useful to sketch the solutions with the ingredients SEPARATED: https://i.imgur.com/X6UPop8.png Since we want to determine the volume of solution Y needed, let''s... ...let y = volume (in liters) of solution Y needed This means 16 - y = volume (in ...” August 28, 2018 Brent@GMATPrepNow posted a reply to Is xy>0? in the Data Sufficiency forum “Target question: Is xy>0? Statement 1: x + y > 0 This statement doesn''t FEEL sufficient, so I''ll TEST some values. There are several values of x and y that satisfy statement 1. Here are two: Case a: x = 1 and y = 1. In this case, xy = (1)(1) = 1. So, the answer to the target ...” August 28, 2018 Brent@GMATPrepNow posted a reply to When traveling at a constant speed of 32 miles per hour, a in the Problem Solving forum “Let''s see what happens after ONE HOUR of traveling. In ONE hour, the boat will travel 32 miles and will use 24 gallons of fuel So, the fuel consumption rate is 32 miles per 24 gallons Or we can write: fuel consumption rate = 32/24 miles/gallon 32/24 = 4/3 So, the fuel consumption rate = ...” August 28, 2018 Brent@GMATPrepNow posted a reply to Exactly 8 years ago, Jim's son was twice as old as Jim's in the Problem Solving forum “Jim’s son is now 5 years older than his daughter Let D = the daughter''s age NOW So D + 5 = the son''s age NOW This also means that D - 8 = the daughter''s age EIGHT YEARS AGO This also means that D + 5 - 8 = the son''s age EIGHT YEARS AGO Or we can say, D - 3 = the son''s age EIGHT YEARS ...” August 28, 2018 Brent@GMATPrepNow posted a reply to What is the sum of all multiples of 3 between 1 and 200? in the Problem Solving forum “Useful formula: 1 + 2 + 3 + 4 + . . . n = (n)(n + 1)/2 We want to find the sum: 3 + 6 + 9 + 12 + . . . 198 Factor out the 3 to get: 3(1 + 2 + 3 + 4 + . . . 66) Apply formula to get: 3(66)(67)/2 Evaluate to get: 6633 Answer: C Cheers, Brent” August 28, 2018 Max@Math Revolution posted a new topic called What is the sum of all multiples of 3 between 1 and 200? in the Problem Solving forum “[Math Revolution GMAT math practice question] What is the sum of all multiples of 3 between 1 and 200? A. 3300 B. 6600 C. 6633 D. 10100 E. 20100” August 28, 2018 Max@Math Revolution posted a new topic called Is xy>0? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] 8.28 Is xy>0? 1) x+y>0 2) |x|+|y|<1” August 28, 2018 Rich.C@EMPOWERgmat.com posted a reply to When traveling at a constant speed of 32 miles per hour, a in the Problem Solving forum “Hi All, We''re told that when traveling at a constant speed of 32 miles per HOUR, a certain motorboat consumes 24 gallons of fuel per HOUR. We''re asked for the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel. Sometimes the big ''step'' you have to ...” August 28, 2018 Rich.C@EMPOWERgmat.com posted a reply to If x, y, and z are negative numbers such that z = 40x + 80y in the Data Sufficiency forum “Hi All, We''re told that X, Y and Z are NEGATIVE numbers such that Z = 40X + 80Y and X+Y = -1. We''re asked if Z is LESS than -60. This is a YES/NO question and can be solved by TESTing VALUES and/or using a bit of logic. To start, this question has some interesting limitations to it. Since ...” August 28, 2018 Rich.C@EMPOWERgmat.com posted a reply to The temperature of a place at noon on a certain day is 25% in the Data Sufficiency forum “Hi All, We''re told that the temperature of a place at noon on a certain day is 25% higher than the temperature of the same place at midnight on the same day. We''re asked for the temperature of the place at midnight. This question can be solved in a couple of different ways, but it''s actually ...” August 28, 2018 ceilidh.erickson posted a reply to Confusing parallelism (never seen before) in the Sentence Correction forum “I agree that this is unusual. "Flash" and "cover" here are not declarative verbs; they are imperatives (commands), and thus do not need a subject. Normally, we wouldn''t see imperatives on the GMAT, as they imply that one person is speaking to another: "Go to bed! Brush ...” August 27, 2018 ceilidh.erickson posted a reply to If a, b, and c are positive integers, what is the remainder in the Data Sufficiency forum “Another option is to test values. As Jay said, we need information about both b and a, so neither statement will be sufficient on its own. When we combine the statements, we can test values: Case 1: c = 1 a = 1^3 = 1 b = 2^3 = 8 b - a = 8 - 1 = 7 the remainder when 7 is divided by 3 is 1. ...” August 27, 2018 ceilidh.erickson posted a reply to If Mary always takes the same route to work, how long did it in the Data Sufficiency forum “Given that the distance to work is always the same, we want to know the TIME that it took to get to work on Friday. (1) It took Mary 20 minutes to get to work on Thursday. We are given no relationship between Thursday and Friday - this might be faster, slower, or the same. Insufficient. (2) ...” August 27, 2018 ceilidh.erickson posted a reply to ABCD is a square picture frame (see figure). EFGH is a in the Problem Solving forum “If the length AB = 6, then the area of the entire figure (frame + picture) = 36. Since the frame and picture both have an equal area, the area of each must be 18. If square EFGH has an area of 18, then each side length must be: $$\sqrt{18}$$ $$=3\sqrt{2}$$ The answer is D.” August 27, 2018 ceilidh.erickson posted a reply to Male bowerbirds construct elaborately decorated nests, or in the Critical Reasoning forum “This question is testing CORRELATION v. CAUSATION logic. Given: The building styles of bowerbirds of the same species are different in different locations. Conclusion: Building styles are culturally acquired, not genetic. Logical Gap: - are these birds in different locations genetically ...” August 27, 2018 ceilidh.erickson posted a reply to A car dealership has 40 cars on the lot, 30% of which are in the Problem Solving forum “Original: 30% of 40 cars are silver --> 12 cars are silver. New shipment: 40% are NOT silver --> 60% are silver 60% of 80 cars --> 48 silver cars Total: silver: 12 + 48 = 60 all: 40 + 80 = 120 60/120 = 50% of all cars are silver The answer is E.” August 27, 2018 ceilidh.erickson posted a reply to Solution X, which is 50% alcohol, is combined with solution in the Problem Solving forum “This is a WEIGHTED AVERAGE question. With any mixture, the resulting solution will be closer in composition to whichever component we added more of. In other words, if we add more of a 50% solution, the resulting mixture will be closer to 50%, and if we add more of the 30% solution, the ...” August 27, 2018 ceilidh.erickson posted a reply to Shawana made a schedule for reading books during 4 weeks in the Problem Solving forum “The easiest (though perhaps not the most elegant) way to approach this problem is to chart it out. For each book, divide the number of pages by 50, then round up if there is a remainder. For example, 253/50 = 5 remainder 3 --> round up to 6 days total. Book #:----Days to read:---Total ...” August 27, 2018 Brent@GMATPrepNow posted a reply to What is the value of x? in the Data Sufficiency forum “Here''s another way to look at it..... (1) 310x + 562y = 909 We can think of this as the equation of a line. The x- and y-coordinates of all points on the line will satisfy the equation 310x + 562y = 909 Since there are infinitely many points on the line, there are infinitely many possible ...” August 27, 2018 Brent@GMATPrepNow posted a reply to George bought a large electronic item with a 15% off coupon, in the Problem Solving forum “George was SUPPOSED to receive a 15% discount, but he received a 30% discount. So, he should have returned 15% of the original cost. However, the manager asked for half that amount (i.e., 7.5% of the original cost) In other words, 7.5% of the original cost =$40.50 IMPORTANT: at this point, ...”
August 27, 2018
Brent@GMATPrepNow posted a reply to GMAT Prep Problem 3 in the Problem Solving forum
“Here''s the complete question: Let''s first determine the least possible integer. We''ll use the answer choices to help us along... A) Could the smallest value on the card be 3? Well, the next larger integer is 4, and 3 x 4 = 12, which is OUTSIDE the given range of 15 to 200 So, we ...”
August 27, 2018
Brent@GMATPrepNow posted a reply to GMAT Prep Problem 1 in the Problem Solving forum
“Here''s another algebraic approach. Let M = Alice''s monthly take home pay Let f = the fraction we''ll use to calculate monthly savings The means that fM = the amount of $Alice saves each month. And this means that her annual savings = 12fM Important: If f = the fraction used to ...” August 27, 2018 Brent@GMATPrepNow posted a reply to If m and n are integers greater than 1, is m^n>500? in the Data Sufficiency forum “Target question: Is m^n > 500? Given: m and n are integers greater than 1 Statement 1: n > 8 We''re told that m and n are integers greater than 1 So, the SMALLEST possible value of m is 2 And, if n > 8, the SMALLEST possible value of n is 9 When we plug in these SMALLEST ...” August 27, 2018 Brent@GMATPrepNow posted a reply to If x and y are positive integers and xy=36, what is the smal in the Problem Solving forum “Since there aren''t many PAIRS of integers that have a product of 36, we can simply list the possibilities: x = 1 and y = 36. Here, the SUM = 37 x = 2 and y = 18. Here, the SUM = 20 x = 3 and y = 12. Here, the SUM = 15 x = 4 and y = 9. Here, the SUM = 13 x = 6 and y = 6. Here, the SUM = 12 ...” August 27, 2018 Brent@GMATPrepNow posted a reply to For which of the following functions is f(a+b) = F(a) + f(b) in the Problem Solving forum “One approach is to plug in numbers. Let''s let a = 1 and b = 1 So, the question becomes, "Which of the following functions are such that f(1+1) = f(1) + f(1)?" In other words, for which function does f(2) = f(1) + f(1)? A) If f(x)=x², does f(2) = f(1) + f(1)? Plug in to get: 2² ...” August 27, 2018 Max@Math Revolution posted a new topic called If x and y are positive integers and xy=36, what is the smal in the Problem Solving forum “[Math Revolution GMAT math practice question] If x and y are positive integers and xy=36, what is the smallest possible value of x+y? A. 6 B. 8 C. 10 D. 12 E. 18” August 27, 2018 Max@Math Revolution posted a new topic called If m and n are integers greater than 1, is m^n>500? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If m and n are integers greater than 1, is m^n>500? 1) n>8 2) n>2m” August 27, 2018 Max@Math Revolution posted a reply to The average (arithmetic mean) of the five numbers in a data in the Problem Solving forum “=> Let a, b, c, d and e be the five numbers. Now, the average of these numbers is ( a + b + c + d + e ) / 5 = 72, so a + b + c + d + e = 72 * 5 = 360. The average of the first three numbers is ( a + b + c ) / 3 = 98, so a + b + c = 98 * 3 = 294. Thus, the sum of the last two numbers is d + e ...” August 27, 2018 Max@Math Revolution posted a reply to A whole number greater than 1 has remainders of 1 when it is in the Problem Solving forum “=> Let x be the smallest number satisfying the original condition. Then x – 1 is the least common multiple of 2, 3, 4 and 5. So, x – 1 = 60. Thus, x = 61. Therefore, the answer is C. Answer: C” August 27, 2018 Max@Math Revolution posted a reply to Is x|y|=|xy|? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” August 27, 2018 Max@Math Revolution posted a reply to What is the length of the sides of a given cube? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since a ...” August 27, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMAT Official Guide 2019 The cost of 10 pounds of apples in the Data Sufficiency forum “Hi All, We''re told that the cost of 10 pounds of apples and 2 pounds of grapes was$12. We''re asked for the cost per pound of apples. We can answer this question with a mix of Algebra and TESTing VALUES. 1) The cost per pound of grapes was $2. With the given information in the prompt, ...” August 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMAT Official Guide 2019 If a certain vase contain in the Data Sufficiency forum “Hi All, We''re told that a certain vase contains only roses and tulips. We''re asked for the number of tulips in the vase. This question can be solved by TESTing VALUES. 1) The number of roses in the vase is 4 times the number of tulips in the vase. IF..... there''s 1 tulip, then there ...” August 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMAT Official Guide 2019 What is the number of in the Data Sufficiency forum “Hi All, We''re asked for the number of pages of a certain journal article. Certain DS questions can be answered with a bit of logic and just considering a few possibilities. 1) The size of each page is 5.5 inches by 8 inches. Fact 1 tells us NOTHING about the number of pages, so there ...” August 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to Which of the following points could lie in the same quadrant in the Problem Solving forum “Hi All, Co-ordinate Geometry (or "graphing", as most people call it) is a relatively rare category in the GMAT Quant section; you''ll likely see just 1 of these questions on Test Day. The question is perfect for TESTing VALUES. Here''s how: We''re asked which of the 5 answers COULD ...” August 26, 2018 Max@Math Revolution posted a reply to Let z be the harmonic mean of x and y. If 1/z=(1/2)((1/x)+ in the Problem Solving forum “We can solve this question without understanding the definition of a harmonic mean when we use the original condition 1/z = (1/2)(1/x + 1/y).” August 26, 2018 Max@Math Revolution posted a reply to The median of a data set is x and its maximum is 40. The ran in the Problem Solving forum “The question should be changed to the following. It is fixed now. The average of the maximum and the minimum of a data set is x and its maximum is 40. The range of the set is 10 greater than x. What is the minimum of the set in terms of x?” August 26, 2018 Brent@GMATPrepNow posted a reply to If n = 10^10 and n^n = 10^d, what is the value of d? A. 10^ in the Problem Solving forum “A slightly different approach.... Given: n = 10^10 Also given: n^n = 10^d Replace n in the base with 10^10 to get: (10^10)^n = 10^d Apply Power of a Power rule on left side to get: 10^10n = 10^d So, we can conclude that 10n = d Now replace the remaining n with 10^10 to get: 10(10^10) = d ...” August 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to A certain archery target is made up of a series of in the Problem Solving forum “Hi VJesus12, We''re told that the circular center region (the bull’s-eye) has a radius of 3 inches, each successive circle has a radius 3 inches greater than the one before and the largest scoring ring has an area of 153π square inches. We''re asked for the probability that an arrow that hits ...” August 25, 2018 Rich.C@EMPOWERgmat.com posted a reply to If the radius of a cylinder is half the length of the edge in the Problem Solving forum “Hi All, We''re told that the radius of a cylinder is HALF the length of the edge of a cube and the height of the cylinder is EQUAL to the length of the edge of the cube. We''re asked for the ratio of the volume of the cube to the volume of the cylinder. This question can be solved by TESTing ...” August 25, 2018 Rich.C@EMPOWERgmat.com posted a reply to Empowergmat for a month and a 40 point score jump! in the I just Beat The GMAT! forum “Hi Vid2018, With that 720, you can absolutely apply to any Schools that interest you! You''ve named some highly-competitive Schools, so beyond having a strong Overall profile, you have to make sure that you properly ''market yourself'' to each individual Program that you apply to. As such, you ...” August 25, 2018 Brent@GMATPrepNow posted a reply to If it takes Jacob x hours to complete a project and it in the Problem Solving forum “For work questions, there are two useful rules: Rule #1: If a person can complete an entire job in k hours, then in one hour, the person can complete 1/k of the job Example: If it takes Sue 5 hours to complete a job, then in one hour, she can complete 1/5 of the job. In other words, her work ...” August 25, 2018 Brent@GMATPrepNow posted a reply to Each of the following numbers has a remaider of 2 when in the Problem Solving forum “A. 2 divided by 11 equals 0 with remainder 2. ELIMINATE B. 13 divided by 11 equals 1 with remainder 2. ELIMINATE C. 24 divided by 11 equals 2 with remainder 2. ELIMINATE D. 57 divided by 11 equals 5 with remainder 2. ELIMINATE By the process of elimination, the correct answer MUST be E Let''s ...” August 25, 2018 Brent@GMATPrepNow posted a reply to If each of the two digits X and Y is distinct 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 ...” August 25, 2018 Brent@GMATPrepNow posted a reply to Is w less than y? in the Data Sufficiency forum “Target question: Is w less than y? Statement 1: 1.3 < w < 1.3101 Since we have no information about y, there''s no way to determine whether w is less than y Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2: 1.3033 < y Since we ...” August 25, 2018 Brent@GMATPrepNow posted a reply to What is the sum of all of the integers in the chart above? in the Problem Solving forum “Always check the answer choices BEFORE solving the question!! Since the answer choices are nicely spread apart, we can be quite aggressive in our estimation Let''s add the 5 numbers in each COLUMN COLUMN 1: Sum ≈500 COLUMN 2: Sum ≈-1000 COLUMN 3: Sum ≈1500 COLUMN 4: Sum ≈-2000 ...” August 25, 2018 Brent@GMATPrepNow posted a reply to After receiving a 25% discount, Amanda pays$240 for a TV. in the Problem Solving forum
“Another approach is to TEST THE ANSWER CHOICES.... If Amanda received a 25% discount, then she paid 75% of the original price. In other words, she paid 3/4 of the original price. We''re told she paid $240, so we''ll check the answer choices to see which one yields an output of$240 when we ...”
August 25, 2018
Brent@GMATPrepNow posted a reply to After receiving a 25% discount, Amanda pays $240 for a TV. in the Problem Solving forum “Let x = the original price (BEFORE the discount) If Amanda received a 25% discount, then she paid 75% of the original price. In other words, she paid 75% of x We''re told she paid$240, so we can write: 75% of x = $240 Or we can write: 0.75x = 240 ASIDE: One approach here is to divide ...” August 25, 2018 Brent@GMATPrepNow posted a reply to A gambler rolls three fair six-sided dice. What is the in the Problem Solving forum “Let''s first calculate P(same, same, different) P(same, same, different) = P(1st roll is ANY value AND 2nd roll matches 1st roll AND 3rd roll is different from first 2 rolls) = P(1st roll is ANY value) x P(2nd roll matches 1st roll) x P(3rd roll is different from first 2 rolls) = 6/6 x 1/6 x 5/6 ...” August 25, 2018 Brent@GMATPrepNow posted a reply to Michael drives x miles due north at arrives at Point A. He in the Problem Solving forum “At the risk of being that guy, I believe the answer is E. Here''s why: We already know that, if we start at a place on the equator and walk 40,000 km (the approximate circumference of Earth) due east, we will end up at the same place we started. If we start at a place further north (say Los ...” August 25, 2018 Brent@GMATPrepNow posted a reply to f 412*378 = A, then which of the following is equal to 412*3 in the Problem Solving forum “Given: (412)(378) = A We must find the value of (412)(379). (412)(379) = (412)(378 + 1) = (412)(378) + (1)(412) = A + 412 Answer: D Cheers, Brent” August 24, 2018 Brent@GMATPrepNow posted a reply to If the sales tax on a$12.00 purchase is $0.66, what is the in the Problem Solving forum “We can also solve this question using equivalent ratios We''re comparing sales tax to retail price We get: sales tax/retail price =$0.66/$12.00 What is the sales tax on a$20.00 purchase? Let x = the sales tax We can write: $0.66/$12.00 = x/$20.00 Cross multiply to get: (0.66)(20) = ...” August 24, 2018 Brent@GMATPrepNow posted a reply to At a bowling alley, Neil can win a free pair of bowling in the Problem Solving forum “At a bowling alley, Neil can win a free pair of bowling shoes if he averages a score of at least 200 over 8 games. If the average of the 8 games = 200, then we can write: (sum of all 8 scores)/8 = 200 Multiply both sides by 8 to get: sum of all 8 scores = 1600 If his scores in his first seven ...” August 24, 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 ...” August 24, 2018 Brent@GMATPrepNow posted a reply to A librarian has a set of ten books, including four different in the Problem Solving forum “Let''s first "glue" the 4 Lincoln books together to create one SUPER BOOK (this will ensure that the 4 books remain together) We now have 7 books: 6 regular books and 1 super book We can arrange these 7 books in 7! ways. KEY: For each of the 7! arrangements, we can take the 4 Lincoln ...” August 24, 2018 Brent@GMATPrepNow posted a reply to If n is a positive integer, which of the following can’t b in the Problem Solving forum “KEY CONCEPTS: #1) If n is an integer, then n and n+1 are consecutive integers #2)If n and n+1 are consecutive integers, then one value is ODD and the other value is EVEN #3)ODD^4 = (ODD)(ODD)(ODD)(ODD) = ODD #4)EVEN^4 = (EVEN)(EVEN)(EVEN)(EVEN) = EVEN #5)(odd)-(odd) = even #6)(odd)-(even) = ...” August 24, 2018 Brent@GMATPrepNow posted a reply to The average (arithmetic mean) of the five numbers in a data in the Problem Solving forum “Let a, b, c, d and e be the five numbers in the set. The average (arithmetic mean) of the five numbers in a data set is 72. So, (a + b + c + d + e)/5 = 72 Multiply both sides of the equation by 5 to get: a + b + c + d + e = 360 The average (arithmetic mean) of the first three numbers is ...” August 24, 2018 Max@Math Revolution posted a new topic called The average (arithmetic mean) of the five numbers in a data in the Problem Solving forum “[Math Revolution GMAT math practice question] The average (arithmetic mean) of the five numbers in a data set is 72. The average (arithmetic mean) of the first three numbers is 98. What is the average (arithmetic mean) of the last two numbers? A. 31 B. 32 C. 33 ...” August 24, 2018 Max@Math Revolution posted a reply to Alice, Bob, Cindy, Dave and Eddie joined a three-person-a-si in the Problem Solving forum “=> The number of ways of choosing the three starters is the number of ways of choosing three people from a set of five people, where order does not matter and repetition is not allowed. The number of possible selections of three starters is: 5C3 = 5C2 = (5*4)/(1*2) = 10. Therefore, ...” August 24, 2018 Max@Math Revolution posted a new topic called Is x|y|=|xy|? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] Is x|y|=|xy|? 1) x>0 2) y>0” August 24, 2018 Max@Math Revolution posted a reply to If x and y are integers, is x^3+3x-y an even number? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” August 24, 2018 Rich.C@EMPOWERgmat.com posted a reply to If the sales tax on a$12.00 purchase is $0.66, what is the in the Problem Solving forum “Hi All, We''re told that the sales tax on a$12.00 purchase is $0.66. We''re asked for the sales tax on a$20.00 purchase. This question can be solved in a number of different ways (depending on how you want to organize your math). Here''s how you can use a ratio to answer the question. ...”
August 23, 2018
Rich.C@EMPOWERgmat.com posted a reply to For a group of n people, k of whom are of the same sex, the in the Problem Solving forum
“Hi All, We''re told that for a group of N people, K of whom are of the same sex, the (N-K)/N expression yields an index for a certain phenomenon in group dynamics for members of that sex. We''re asked - for a group that consists of 20 people, 4 of whom are females, by how much does the index for ...”
August 23, 2018
Rich.C@EMPOWERgmat.com posted a reply to At a bowling alley, Neil can win a free pair of bowling in the Problem Solving forum
“Hi All, We''re told that at a bowling alley, Neil can win a free pair of bowling shoes if he AVERAGES a score of AT LEAST 200 over 8 games and his scores in his first seven games were 192, 188, 195, 197, 205, 208, and 203. We''re asked for the minimum score he needs in his last game to win the ...”
August 23, 2018
Rich.C@EMPOWERgmat.com posted a reply to Empowergmat for a month and a 40 point score jump! in the I just Beat The GMAT! forum
“Hi Vid2018, That''s outstanding news! A V41 is above the 90th percentile - and if that''s indicative of your Overall Score on the GMAT, then you can comfortably apply to any Business Schools that interest you! 1) When are you planning to apply to Business School? 2) What Schools are you ...”
August 23, 2018
Brent@GMATPrepNow posted a reply to What is the length of the sides of a given cube? 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 following video: Target question: What ...”
August 23, 2018
Brent@GMATPrepNow posted a reply to A whole number greater than 1 has remainders of 1 when it is in the Problem Solving forum
“Let N = the number in question. If N divided by 2 leaves a remainder of 1, then N is 1 greater than some multiple of 2. This means that N - 1 must be a multiple of 2. Likewise, if N divided by 3 leaves a remainder of 1, then N is 1 greater than some multiple of 3. This means that N - 1 ...”
August 23, 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 ...”
August 23, 2018
Brent@GMATPrepNow posted a reply to United Telephone charges a base rate of $10.00 for service, in the Problem Solving forum “Let x = the number of minutes used United Telephone charge =$10.00 + $0.25x Atlantic Call charge =$12.00 + $0.20x For what number of minutes would the bills for each telephone company be the same? In other words, for what value of x does$10.00 + $0.25x EQUAL$12.00 + $0.20x? Let''s ...” August 23, 2018 Max@Math Revolution posted a new topic called A whole number greater than 1 has remainders of 1 when it is in the Problem Solving forum “[Math Revolution GMAT math practice question] A whole number greater than 1 has remainders of 1 when it is divided by each of the numbers of 2, 3, 4 and 5. What is the smallest such number? A. 31 B. 51 C. 61 D. 91 E. 121” August 23, 2018 Max@Math Revolution posted a reply to Which of the following is the best approximation for 11^11-9 in the Problem Solving forum “=> 9^9 is much smaller than 11^11. Thus, 11^11-9^9 is closest to 11^11. Therefore, the answer is D. Answer: D” August 23, 2018 Max@Math Revolution posted a new topic called What is the length of the sides of a given cube? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] What is the length of the sides of a given cube? 1) The surface area of the cube is 150 2) The volume of the cube is 125” August 23, 2018 Max@Math Revolution posted a reply to If x and y are prime numbers, how many factors has x^2y^2? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” August 23, 2018 Brent@GMATPrepNow posted a reply to Alice, Bob, Cindy, Dave and Eddie joined a three-person-a-si in the Problem Solving forum “When the answer choices are relatively small (as they are here), we should also consider just [size=150]listing the possible outcomes[/size]. They are: ABC ABD ABE ACD ACE ADE BCD BCE BDE CDE Answer: E Cheers, Brent” August 22, 2018 Brent@GMATPrepNow posted a reply to If x and y are integers, is x^3+3x-y an even number? in the Data Sufficiency forum “-----ASIDE------------------------- 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 x³ + 3x - y an even number? ...” August 22, 2018 Brent@GMATPrepNow posted a reply to Alice, Bob, Cindy, Dave and Eddie joined a three-person-a-si in the Problem Solving forum “The order in which we select the 3 starters does not matter. For example, selecting Alice then Cindy and then Dave to be the starters is the SAME as selecting Cindy then Dave and then Alice to be the starters. Since order does not matter, we can use COMBINATIONS We can select 3 players from 5 ...” August 22, 2018 Max@Math Revolution posted a new topic called Alice, Bob, Cindy, Dave and Eddie joined a three-person-a-si in the Problem Solving forum “[Math Revolution GMAT math practice question] Alice, Bob, Cindy, Dave and Eddie joined a three-person-a-side basketball tournament. In how many ways can be the three starters be chosen? A. 5 B. 6 C. 8 D. 9 E. 10” August 22, 2018 Max@Math Revolution posted a reply to Let z be the harmonic mean of x and y. If 1/z=(1/2)((1/x)+ in the Problem Solving forum “=> 1/z = (1/2)(1/x + 1/y) = (1/2)( (x+y)/xy ) = (x+y)/(2xy) Thus, z = 2xy / ( x + y ). Therefore, A is the answer. Answer: A” August 22, 2018 Max@Math Revolution posted a new topic called If x and y are integers, is x^3+3x-y an even number? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If x and y are integers, is x^3+3x-y an even number? 1) x=11 2) y=10” August 22, 2018 Max@Math Revolution posted a reply to If (|x|-2)(x-1)=0, then x=? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” August 22, 2018 Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum “To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...” August 22, 2018 Rich.C@EMPOWERgmat.com posted a reply to There are 27 different three-digit integers that can be form in the Problem Solving forum “Hi All, We''re told that there are 27 different three-digit integers that can be formed using only the digits 1, 2 and 3 and that all 27 of the integers were listed. We''re asked for the SUM of those 27 different integers. This question has a great series of built-in ''logic shortcuts'' that ...” August 22, 2018 Brent@GMATPrepNow posted a reply to What is the decimal equivalent of (1/5)^5? in the Problem Solving forum “Another approach: Given: (1/5)^5 Rewrite as: 1/(5^5) Create equivalent fraction by multiplying top and bottom by 2^5 to get: 2^5/(2^5)(5^5) Simplify: 32/10^5 Simplify: 32/100,000 STOP. So, the decimal equivalent will have 32 in. Check the answer choices.....only A works. Answer: ...” August 22, 2018 Brent@GMATPrepNow posted a reply to What is the decimal equivalent of (1/5)^5? in the Problem Solving forum “Here''s one approach: (1/5)⁵ = (2/10)⁵ = (2⁵)/(10⁵) = 32/100,000 = 0.00032 = A Cheers, Brent” August 21, 2018 ceilidh.erickson posted a reply to GMAT Official Guide 2019 A prominent investor who holds in the Critical Reasoning forum “I''d like to add a bit of advice to Brent''s for boldface questions: Once you''ve determined the role of each statement in generic terms, don''t read through each entire answer choice. Instead, read just the 1st part first and eliminate. Then look at the 2nd part only for the answer choices that ...” August 21, 2018 ceilidh.erickson posted a reply to For what percent of those tested for a certain infection was in the Data Sufficiency forum “For more on how to use Double Set Matrices for similar problems, see: https://www.beatthegmat.com/in-a-product-test-of-a-common-cold-remedy-x-percent-of-the-t303696.html#818274 https://www.beatthegmat.com/retailers-question-t42509.html#809549 ...” August 21, 2018 ceilidh.erickson posted a reply to For what percent of those tested for a certain infection was in the Data Sufficiency forum “The best way to approach this question is with a DOUBLE SET MATRIX. There are 2 relevant questions here: 1. Does a person have the infection or not? 2. Have they tested positive or not? https://s22.postimg.cc/rx9c6dqj1/Screenshot_2018-08-21_15.12.10.png Accurate results will be those who ...” August 21, 2018 Brent@GMATPrepNow posted a reply to In the biology lab of "Jefferson" High School ther in the Problem Solving forum “Germs per dish = (total number of germs)/(total number of dishes) total number of germs = 0.037 x 10^5 = 3700 total number of dishes = 74000 x 10^(-3) = 74 So, Germs per dish = (3700)/(74) = (37)(100)/(37)(2) = 100/2 = 50 Answer: E Cheers, Brent” August 21, 2018 ceilidh.erickson posted a reply to By applying optimization techniques commonly used to plan in the Sentence Correction forum “This question is primarily testing OPENING MODIFIERS. The sentence begins with the opening modifier By applying optimization techniques commonly used to plan operations,... This must be followed by the SUBJECT being modified, i.e. the person(s) or thing(s) applying these techniques. (A) it is ...” August 21, 2018 Brent@GMATPrepNow posted a reply to One machine, working at a constant rate, can fill a certain in the Problem Solving forum “Let''s assign a "nice" value to the entire job (a value that works well with the given information) Let''s say the machine is making widgets and an order = 8 widgets. One machine, working at a constant rate, can fill a production order in 8 hours. In other words, ONE machine can ...” August 21, 2018 ceilidh.erickson posted a reply to When working with overseas clients, an understanding of cult in the Sentence Correction forum “This question is testing MODIFIERS and PARALLELISM/COMPARISONS. (A) When working with overseas clients, an understanding of cultural norms is at least as important as grasping the pivotal business issues for the global manager. - "when working..." is an opening modifier. It must ...” August 21, 2018 ceilidh.erickson posted a reply to Over the past few years, retailers in the town of in the Critical Reasoning forum “When you''re looking to WEAKEN (cast doubt) on an argument, you must first find where the chain of logic is broken. Look for an unstated assumption that would be needed to connect the premises to the conclusion. Premises: - retailers in the town of Statesville have suffered from decreasing ...” August 21, 2018 Max@Math Revolution posted a new topic called Which of the following is the best approximation for 11^11-9 in the Problem Solving forum “[Math Revolution GMAT math practice question] Which of the following is the best approximation for 11^11-9^9? A. 11^8 B. 11^9 C. 11^10 D. 11^11 E. 11^12” August 21, 2018 Max@Math Revolution posted a new topic called If x and y are prime numbers, how many factors has x^2y^2? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If x and y are prime numbers, how many factors has x^2y^2? 1) xy=10 2) x+y is odd” August 21, 2018 ceilidh.erickson posted a reply to A recent United States Census Bureau report shows that there in the Sentence Correction forum “This question is testing COMPARISONS and IDIOMS. The correct idiom is AS MANY ____ AS ____. We can eliminate any answers that use "than": D and E. We can also eliminate the incorrect "as compared to" in A. The larger comparison structure is "there are 3x as many ...” August 20, 2018 ceilidh.erickson posted a reply to If n is an integer between 10 and 100, is the tens digit of in the Data Sufficiency forum “For digit questions in DS, the best strategy is often to test values. (1) The remainder when n is divided by 4 is equal to the remainder when n is divided by 5. This tells us that either n must be a multiple of 20 (multiple of both 4 and 5), or some multiple of 20 + 1, +2, or +3 (if we add 4 ...” August 20, 2018 ceilidh.erickson posted a reply to If a is an integer, what is the units digit of a^18? (1) a^ in the Data Sufficiency forum “For more on patterns in units digits, see: https://www.beatthegmat.com/what-is-the-units-digit-of-a-36-a-a-2-has-9-as-the-u-t151317.html#544267 https://www.beatthegmat.com/if-r-s-and-t-are-all-positive-integers-t17201.html#548713 ...” August 20, 2018 ceilidh.erickson posted a reply to If a is an integer, what is the units digit of a^18? (1) a^ in the Data Sufficiency forum “If we want to know the units digit of a^18, we must know something about the units digit of a. (1) a^2 has a units digit of 9 Test digits to see if there is more than one units digit that will yield a 9 when squared: a = 1 --> a² = 1 --> no. a = 2 --> a² = 4 --> no. a = ...” August 20, 2018 ceilidh.erickson posted a reply to For the list of numbers above there is exactly one mode. Is in the Data Sufficiency forum “You neglected to list / screenshot the "numbers above."” August 20, 2018 Max@Math Revolution posted a reply to a, b, c, d, e and f are integers. Is their median greater th in the Data Sufficiency forum “Math Revolution provides VA method for DS questions. VA suggests we should check both conditions together first, when we need 3 or more equations, which means E is most likely to be the answer. If both conditions together are not sufficient, just choose E. We don''t need to check each of ...” August 20, 2018 Max@Math Revolution posted a reply to a, b, c, d, e and f are integers. Is their median greater th in the Data Sufficiency forum “Math Revolution provides VA method for DS questions. VA suggests we should check both conditions together first, when we need 3 or more equations, which means E is most likely to be the answer. If both conditions together are not sufficient, just choose E. We don''t need to check each of ...” August 20, 2018 Max@Math Revolution posted a reply to a, b, c, d, e and f are integers. Is their median greater th in the Data Sufficiency forum “Math Revolution provides VA method for DS questions. VA suggests we should check both conditions together first, when we need 3 or more equations, which means E is most likely to be the answer. If both conditions together are not sufficient, just choose E. We don''t need to check each of ...” August 20, 2018 Brent@GMATPrepNow posted a reply to In the xy-coordinate plane, which of the following points in the Problem Solving forum “APPROACH #2: Rewrite the equation in slope y-intercept form y = mx + b, where m is the slope of the line and b is the line''s y-intercept Take: kx + 3y = 6 Subtract kx from both sides: 3y = 6 - kx Divide both sides by 3 to get: y = 2 - kx/3 Rewrite as: y = (k/3)x + 2 So, the slope of the ...” August 20, 2018 Brent@GMATPrepNow posted a reply to In the xy-coordinate plane, which of the following points in the Problem Solving forum “APPROACH #1: The key here is "for every possible value of k" So, let''s assign a value of k and see what happens. How about k = 0? When k = 0, the equation becomes: (0)x + 3y = 6 Simplify: 3y = 6 Solve: y = 2 So, in this case, the y-coordinate must be 2! Check the answer ...” August 20, 2018 Brent@GMATPrepNow posted a reply to The median of a data set is x and its maximum is 40. The ran in the Problem Solving forum “Your suggestion that range = 2(maximum value - median) is not always true In fact, the only time the range = 2(maximum value - median) is when the median is the average of the minimum and maximum value. For example, in the set {1, 9, 17}, the range = 17 - 1 = 16, which is equal to 2(maximum value ...” August 20, 2018 Brent@GMATPrepNow posted a reply to The median of a data set is x and its maximum is 40. The ran in the Problem Solving forum “GIVEN: The median of a data set is x, and its MAXIMUM is 40 The range of the set is 10 greater than the median So, the range = x + 10 Let N = the MINIMUM value We can write: MAXIMUM value - MINIMUM value = range Rewrite as: 40 - N = x + 10 What is the minimum of the set in terms of x? ...” August 20, 2018 Brent@GMATPrepNow posted a reply to Let z be the harmonic mean of x and y. If 1/z=(1/2)((1/x)+ in the Problem Solving forum “Aside: The GMAT doesn''t expect test-takers to know the term harmonic mean. If there were ever a question involving harmonic mean, the definition of the term would be included. Here''s the definition: https://www.investopedia.com/terms/h/harmonicaverage.asp Cheers, Brent” August 20, 2018 Brent@GMATPrepNow posted a reply to If (|x|-2)(x-1)=0, then x=? in the Data Sufficiency forum “Target question: What is the value of x? Given: (|x| - 2)(x - 1) = 0 This tells us that EITHER: |x| - 2 OR x - 1 = 0 If |x| - 2 = 0, then x = 2 OR x = -2 If x - 1 = 0, then x = 1 So, there are 3 possible values of x: i. x = 2 ii. x = -2 iii. x = 1 Statement 1: x > 0 When we ...” August 20, 2018 Max@Math Revolution posted a new topic called Let z be the harmonic mean of x and y. If 1/z=(1/2)((1/x)+ in the Problem Solving forum “[Math Revolution GMAT math practice question] Let z be the harmonic mean of x and y. If 1/z=(1/2)((1/x)+(1/y)), which of the following is an expression for z, in terms of x and y? A. 2xy / ( x + y ) B. 2( x + y ) / ( x – y ) C. 2( x – y ) / ( x + y ) D. 2( x + y ) / xy E. xy / ( ...” August 20, 2018 Max@Math Revolution posted a new topic called If (|x|-2)(x-1)=0, then x=? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If (|x|-2)(x-1)=0, then x=? $$1)\ x>0$$ $$2)\ -1\le x\le1$$” August 20, 2018 Max@Math Revolution posted a reply to What is the 777th decimal digit of 0.345634563456……..? in the Problem Solving forum “=> The digits of 0.345634563456…. repeat with period 4. Since the 1st, 5th, 9th, … decimal digits are 3, the n-th decimal digit is 3 if n has a remainder of 1 when it is divided by 4. Since the 2nd, 6th, 10th, … decimal digits are 4, the n-th decimal digit is 4 if n has a remainder of ...” August 20, 2018 Max@Math Revolution posted a reply to The median of a data set is x and its maximum is 40. The ran in the Problem Solving forum “=> https://s8.postimg.cc/fzma1xwrl/8.20.png The range of the set is 2 times 40 – x, since 40 – x is the distance between the median and the maximum. The minimum is the median minus the distance between the median and the maximum, which is x – ( 40 – x ) = 2x – 40. Therefore, ...” August 20, 2018 Max@Math Revolution posted a reply to Is n an integer? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Condition ...” August 20, 2018 Max@Math Revolution posted a reply to If x, y, and z are positive integers, x=? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” August 20, 2018 Brent@GMATPrepNow posted a reply to For the list of numbers above there is exactly one mode. Is in the Data Sufficiency forum “Sorry, but I don''t see any numbers above.” August 19, 2018 Brent@GMATPrepNow posted a reply to A line has a slope of 3/4 and intersects the point (-12, -39 in the Problem Solving forum “TIP: If you were running short on time and encountered this question, you could quickly eliminate C, D and E and guess between A and B . The coordinates of the x-intercept must be in the form (k, 0). So, we can eliminate C, D and E. Now onto the solution... Let''s write the equation in slope ...” August 19, 2018 Brent@GMATPrepNow posted a reply to If x and y are positive, what is x+y? in the Data Sufficiency forum “-------------ASIDE-------------------------------- IMPORTANT: We are not told that x and y are integers. So, they need not be integers! ALSO IMPORTANT: There exists a value of y so that 3^y = 36. How do we know this? Well, 3^3 = 27 and 3^4 = 81 Since 36 is BETWEEN 27 and 81, there must be a ...” August 19, 2018 Brent@GMATPrepNow posted a reply to For the list of numbers above there is exactly one mode. Is in the Data Sufficiency forum “I don''t see the list of numbers.” August 19, 2018 Brent@GMATPrepNow posted a reply to R is the set positive odd integers less than 50, and S is in the Problem Solving forum “How many elements does the intersection of R as S contain? So, we need to count all values that satisfy both conditions In other words, we need to count all values that are BOTH odd integers less than 50 AND the squares of integers Let''s list possible values: 1² = 1 1 is less than ...” August 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to On his drive to work, Leo listens to one of three radio in the Problem Solving forum “Hi All, We''re told that Leo listens to one of three radio stations A, B or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to C. If C is playing a song he likes, he ...” August 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to A certain brand of gasoline costs$1.25 per gallon. Using in the Problem Solving forum
“Hi All, We''re told that a certain brand of gasoline costs $1.25 per gallon. We''re asked if a car averages 30 miles per gallon, what is the cost of the gasoline needed for the car to travel 120 miles. This is a multi-step ''Rate'' question - and the math involved can be done in a number of ...” August 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to R is the set positive odd integers less than 50, and S is in the Problem Solving forum “Hi All, We''re told that R is the set of positive ODD integers LESS than 50, and S is the set of the SQUARES of the integers in R. We''re asked for the number of elements that are in BOTH R and S. This question is built around some basic Arithmetic and note taking. To start, I''m going to ...” August 19, 2018 Brent@GMATPrepNow posted a reply to What is the 777th decimal digit of 0.345634563456……..? in the Problem Solving forum “Look for a pattern... 1st decimal digit: 3 2nd decimal digit: 4 3rd decimal digit: 5 4th decimal digit: 6 5th decimal digit: 3 6th decimal digit: 4 7th decimal digit: 5 8th decimal digit: 6 9th decimal digit: 3 ...etc This pattern repeats itself every 4 digits In other words, the ...” August 17, 2018 Brent@GMATPrepNow posted a reply to If x, y, and z are positive integers, x=? in the Data Sufficiency forum “ Given: x, y, and z are positive integers Target question: What is the value of x? Statement 1: y = x + 1, and z = x + 3 There are infinitely many solutions to the above equations, which means there are infinitely many possible answers to the target question. Since we cannot answer the ...” August 17, 2018 Brent@GMATPrepNow posted a reply to Is x > y? in the Data Sufficiency forum “Target question: Is x > y? Statement 1: x - y > 3 At first glance, this information APPEARS to be insufficient. However, if we recognize that 3 > 0, then we can add this to the inequality to get: x - y > 3 > 0 From here, we can ignore the 3 to see that: x - y > 0 Add y ...” August 17, 2018 Brent@GMATPrepNow posted a reply to A certain junior class has 1,000 students and a certain 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, ...” August 17, 2018 Max@Math Revolution posted a new topic called What is the 777th decimal digit of 0.345634563456……..? in the Problem Solving forum “[Math Revolution GMAT math practice question] What is the 777th decimal digit of 0.345634563456……..? A. 3 B. 4 C. 5 D. 6 E. 7” August 17, 2018 Max@Math Revolution posted a reply to If (2/3)^n=(9/4)^2, what is the value of n? in the Problem Solving forum “=> (9/4)^2 = ((3/2)^2)^2 = (3/2)^4 = (2/3)^{-4}. Thus, n = -4. Therefore, the answer is A. Answer: A” August 17, 2018 Max@Math Revolution posted a new topic called Is n an integer? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] Is n an integer? 1) 3n is an integer 2) 4n is an integer” August 17, 2018 Max@Math Revolution posted a reply to What is the remainder when 2^n is divided by 10? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” August 17, 2018 Brent@GMATPrepNow posted a reply to A case contains c cartons. Each carton contains b boxes, and in the Problem Solving forum “Let''s solve this question by picking some numbers (aka using the INPUT-OUTPUT approach). Let b = 3 and c = 5 So, a case contains 5 cartons. Each carton contains 3 boxes, and each box contains 100 paper clips. So, the number of paper clips in 1 case = (100)(5)(3) = 1500 How many paper ...” August 16, 2018 Brent@GMATPrepNow posted a reply to Over the course of a single week, the price of a company's in the Problem Solving forum “Let''s assign a "nice" value to the original price. Let$100 be the original price (BEFORE any increases) Over the course of a single week, the price of a company’s stock rose by 10%. 10% of $100 =$10 So, the NEW price = $100 +$10 = $110 The following week the company’s ...” August 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to Jason can stack two shelves in 3 hours and Maria can stack in the Problem Solving forum “Hi All, We''re told that Jason can stack 2 shelves in 3 hours and Maria can stack 3 shelves in 2 hours. We''re asked how long will it take them together, working at their constant rates, to stack thirteen shelves. This question is a ''rate'' question, so you can work through the math in a number ...” August 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to On a certain trasatlantic crossing, 20 percent of a ship's in the Problem Solving forum “Hi All, We''re told that on a certain transatlantic crossing, 20% of a SHIP''S PASSENGERS held round-trip tickets AND took their cars aboard the ship and 60% of the PASSENGERS WITH ROUND-TRIP TICKETS did NOT take their cars aboard the ship. We''re asked what percent of the ship''s passengers ...” August 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to Set X consists of the first 100 positive even integers. Set in the Problem Solving forum “Hi All, We''re told that Set X consists of the first 100 positive EVEN integers and Set Y consists of the first 100 positive multiples of 5. If the terms in both sets are combined to create a new set with NO repeat elements, we''re asked for the sum of all unique terms in the new set. This ...” August 16, 2018 Max@Math Revolution posted a new topic called The median of a data set is x and its maximum is 40. The ran in the Problem Solving forum “[Math Revolution GMAT math practice question] The average of the maximum and the minimum of a data set is x and its maximum is 40. The range of the set is 10 greater than x. What is the minimum of the set in terms of x? A. x - 20 B. 2x - 40 C. 2x D. 20 – x E. ...” August 16, 2018 Max@Math Revolution posted a reply to If n is a positive integer, which of the following can’t b in the Problem Solving forum “=> If n + 1 is an even number, then n is an odd number and (n+1)^4-n^4 must be an odd number. If n + 1 is an odd number, then n is an even number and (n+1)^4-n^4 must be an odd number. All answer choices except for C) are odd numbers. Therefore, the answer is C. Answer: C” August 16, 2018 Max@Math Revolution posted a new topic called If x, y, and z are positive integers, x=? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If x, y, and z are positive integers, x=? 1) y=x+1 and z=x+3 2) x, y, and z are prime numbers” August 16, 2018 Max@Math Revolution posted a reply to Is ab>bc? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” August 16, 2018 Brent@GMATPrepNow posted a reply to In a stack of boards at a lumber yard, the 20th board in the Problem Solving forum “Let''s start from the bottom and work our way up: We''ll start with the 16th board counting from the bottom of the stack Right BELOW that 16th board, we have a board that we''ll call Larry. So, Larry is the 15th board counting from the bottom of the stack. So, starting from the bottom and ...” August 16, 2018 Brent@GMATPrepNow posted a reply to A rectangular box, with dimesions of 12 inches by 18 inches in the Problem Solving forum “The question comes down to determining how to orient the box. Do, we make the HEIGHT of the box 12 inches, 18 inches or 10 inches? Well, since the height of each CAN is 5 inches, we can see that making the HEIGHT of the box 10 inches is a great course of action. Otherwise, there will be empty ...” August 15, 2018 Max@Math Revolution posted a new topic called If (2/3)^n=(9/4)^2, what is the value of n? in the Problem Solving forum “[Math Revolution GMAT math practice question] If (2/3)^n=(9/4)^2, what is the value of n? A. -4 B. -2 C. 0 D. 2 E. 4” August 15, 2018 Max@Math Revolution posted a reply to If the greatest common divisor of (n-1)!, n!, and (n+1)! is in the Problem Solving forum “=> Since n! and (n+1)! are multiples of (n-1)!, (n-1)! is their gcd. It follows that n – 1 = 7 or n = 8, since 7! = 5040. Therefore, E is the answer. Answer: E” August 15, 2018 Max@Math Revolution posted a new topic called What is the remainder when 2^n is divided by 10? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] What is the remainder when 2^n is divided by 10? 1) n is a positive multiple of 2 2) n is a positive multiple of 4” August 15, 2018 Max@Math Revolution posted a reply to If the average (arithmetic mean) of 3 integers x, y, z is 10 in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” August 15, 2018 Brent@GMATPrepNow posted a reply to (x – 1)(y – 1) = 1? in the Data Sufficiency forum “ Given: xy > 0 Target question: Does (x - 1)(y - 1) = 1? This is a good candidate for rephrasing the target question Take the equation: (x - 1)(y - 1) = 1 Use FOIL to expand the left side to get: xy - x - y + 1 = 1 Subtract 1 from both sides to get: xy - x - y = 0 REPHRASED ...” August 15, 2018 Brent@GMATPrepNow posted a reply to For all real numbers x and y, let x# y = (xy)^2 − x + y^2 in the Problem Solving forum “APPROACH #2 - Test the answer choices A) 0 Take x#y = (xy)² − x + y², and replace y with 0 We get: 0)]² − x + 0² = 0, x#y = -x PERFECT! Answer: A Cheers, Brent” August 15, 2018 Brent@GMATPrepNow posted a reply to For all real numbers x and y, let x# y = (xy)^2 − x + y^2 in the Problem Solving forum “APPROACH #1 We want the following equation to hold true: x # y = –x Replace x # y with its equivalent to get: (xy)² − x + y² = -x Add x to both sides to get: (xy)² + y² = 0 Simplify (xy)² to get: x²y² + y² = 0 Factor out the y² to get: y²(x² + 1) = 0 So, the equation will hold ...” August 15, 2018 Brent@GMATPrepNow posted a reply to Uncle Bruce is baking chocolate chip cookies. He has 36 in the Problem Solving forum “We can also use equivalent ratios The cookies will consist of 20% chocolate. In other words, the cookies will consist of 1/5 chocolate. We can also say the cookies will consist of 4/5 dough. This means the cookies are 4 parts dough and 1 part chocolate. So, the dough to chocolate ratio ...” August 15, 2018 Rich.C@EMPOWERgmat.com posted a reply to Each of three students is given fifteen tokens to spend at in the Data Sufficiency forum “Hi All, We''re told that each of three students is given 15 tokens to spend at a fair with various tents to visit, some tents cost 3 tokens to enter, and some cost 4 tokens to enter. We''re asked for the number of tents that Amelia visited. This question can be solved by TESTing VALUES. 1) ...” August 15, 2018 Rich.C@EMPOWERgmat.com posted a reply to A local restaurant prepares one of three desserts every day in the Problem Solving forum “Hi All, We''re told that a local restaurant prepares one of three desserts every day they are open, Monday through Saturday: cake, pastries, or brownies, the dessert on Wednesday MUST be brownies and the same dessert is NOT served on consecutive days. We''re asked for the number of different ...” August 15, 2018 Rich.C@EMPOWERgmat.com posted a reply to Please help to crack GMAT ..... in the The GMAT Avengers Study Group forum “Hi Sagar, I agree that taking one day ''off'' from your studies each week would be a good idea. In the broader sense, you should also be thinking in terms of the ''quality'' of your study - and not the ''quantity'' of it. With 16-18 hours of study each week, you could accomplish a great deal - ...” August 15, 2018 Max@Math Revolution posted a new topic called If n is a positive integer, which of the following can’t be in the Problem Solving forum “[Math Revolution GMAT math practice question] If n is a positive integer, which of the following can’t be the value of (n+1)^4-n^4? A. 2465 B. 4641 C. 6096 D. 7825 E. 9855” August 15, 2018 Max@Math Revolution posted a new topic called If the greatest common divisor of (n-1)!, n!, and (n+1)! is in the Problem Solving forum “[Math Revolution GMAT math practice question] If the greatest common divisor of (n-1)!, n!, and (n+1)! is 5040, what is the value of n? A. 4 B. 5 C. 6 D. 7 E. 8” August 15, 2018 Max@Math Revolution posted a new topic called Is ab>bc? in the Data Sufficiency forum “[Math Revolution GMAT math practice question] Is ab>bc? 1) abc=0 2) a>c” August 15, 2018 Max@Math Revolution posted a new topic called If the average (arithmetic mean) of 3 integers x, y, z is 10 in the Data Sufficiency forum “[Math Revolution GMAT math practice question] If the average (arithmetic mean) of 3 integers x, y, z is 10, what is the value of z? 1) x=1 2) x=5-y” August 15, 2018 Brent@GMATPrepNow posted a reply to If mn ≠ 0 and 25 percent of n equals in the Problem Solving forum “Useful conversions: 25% = 1/4 37.5% = 3/8 25 percent of n equals 37(1/2) percent of m In other words, 1/4 of n equals 3/8 of m We get: (1/4)(n) = (3/8)(m) Simplify: n/4 = 3m/8 What is the value of 12n/m? Take n/4 = 3m/8 Cross-multiply to get: (8)(n) = (3m)(4) Simplify: 8n = 12m ...” August 15, 2018 Brent@GMATPrepNow posted a reply to John sold 100 shares of stock for$96 per share. For half in the Problem Solving forum
“Let x be the ORIGINAL price of each share that sold for a 20% PROFIT So, 1.2x = price of each share that sold for a 20% profit In other words, 1.2x = $96 So, x = 96/1.2 =$80 So, these shares ORIGINALLY cost $80 each Let y be the ORIGINAL price of each share that sold for a 20% LOSS So, 0.8x ...” August 14, 2018 Brent@GMATPrepNow posted a reply to Three printing presses, R, S, and T, working together at the in the Problem Solving forum “----------ASIDE-------------------- For work questions, there are two useful rules: Rule #1: If a person can complete an entire job in k hours, then in one hour, the person can complete 1/k of the job Example: If it takes Sue 5 hours to complete a job, then in one hour, she can complete 1/5 of ...” August 14, 2018 Brent@GMATPrepNow posted a reply to Which of the following lines in the xy-plane does not in the Problem Solving forum “Core concept: If a point (x,y) is on a given line, then the coordinates (x and y) of that point must satisfy the equation of that line. In answer choice B, the equation (y = x + 1/2) tells us that, for ANY POINT ON THE LINE, the y-coordinate will be equal to the x-coordinate plus 1/2 So, if the ...” August 14, 2018 Brent@GMATPrepNow posted a reply to If a number between 0 and 1 is selected at random, which of in the Problem Solving forum “Another approach is to convert everything to decimals We need to determine the LENGTH OF EACH INTERVAL. The interval that has the greatest length, will be the most likely interval. To determine the length of each interval, it may be faster to first convert the fractions to decimals. We get: ...” August 14, 2018 Brent@GMATPrepNow posted a reply to Challenge: If f(3x + 2) = 9x² + 12x - 1, then f(k - 1) = in the Problem Solving forum “Given: f(3x + 2) = 9x² + 12x - 1 First notice that 9x² + 12x - 1 looks a lot like how (3x + 2)² looks when we expand an simplify it. Notice that (3x + 2)² = 9x² + 12x + 4 This is VERY similar to 9x² + 12x - 1 In fact, if we take 9x² + 12x + 4 and subtract 5, we get 9x² + 12x - 1 That ...” August 14, 2018 Brent@GMATPrepNow posted a reply to Ben is driving on the highway at x miles per hour. (One mile in the Problem Solving forum “Here''s an algebraic approach: Each tire has a circumference of y feet. So, there will be 1 revolution every time the car travels y feet. 5280/y = the number of times y divides into 5280. So, if the car travels 5280 feet (aka 1 mile) in one hour, then there will be 5280/y revolutions. If ...” August 14, 2018 Rich.C@EMPOWERgmat.com posted a reply to When x is divided by 2, the remainder is 1 and y is divided in the Problem Solving forum “Hi All, We''re told that X and Y are INTEGERS, when X is divided by 2, the remainder is 1 and when Y is divided by 8, the remainder is 2. We''re asked which answer COULD be the value of 2X + Y. This question can be solved by TESTing VALUES. Since X/2 has a remainder of 1, then X must be ODD: ...” August 14, 2018 Rich.C@EMPOWERgmat.com posted a reply to Bob invests 100 dollars in a fund that yileds 15% simple in the Problem Solving forum “Hi All, We''re told that Bob invests 100 dollars in the middle of January into a fund that yields 15% simple interest calculated monthly. We''re asked for the first month in which the fund will have more than$200 total. This question involves the Simple Interest Formula, although you will ...”
August 14, 2018
Rich.C@EMPOWERgmat.com posted a reply to One-fifth of the students at a nursery school are 4 years in the Problem Solving forum
“Hi All, We''re told that 1/5 of the students at a nursery school are 4 years old or older, 16 students have not yet reached their third birthday and a total of 40 students are NOT between 3 years old and 4 years old. We''re asked for the total number of children in the nursery school. This ...”
August 14, 2018
“Hi Sagar, With another 3-4 months of consistent study, you could potentially improve a great deal - you will likely need all of that time to get to the point that you are consistently scoring 700+, so you will need to be efficient with this next phase of your studies. Many Test Takers who ...”
August 14, 2018
ceilidh.erickson posted a reply to If the vertices of a triangle have coordinates (x, 1), in the Data Sufficiency forum
“This seems to be a different question than the one Jay has quoted. Did you accidentally change it when editing?”
August 13, 2018
ceilidh.erickson posted a reply to In a product test of a common cold remedy, x percent of the in the Data Sufficiency forum
“One easy way to organize overlapping sets questions is with a Double Set Matrix: https://s22.postimg.cc/wf2tf7c0t/Screenshot_2018-08-13_16.11.03.png We''re looking for those who experienced both as a percent of the total: https://s22.postimg.cc/tkzo227d9/Screenshot_2018-08-13_16.12.45.png ...”
August 13, 2018
ceilidh.erickson posted a reply to Political Candidate: Government subsidized prescription drug in the Critical Reasoning forum
August 13, 2018
ceilidh.erickson posted a reply to If the average of 993, 994, 996, 997, 998, 1001, 1001, 1002, in the Problem Solving forum
“We can also treat this as a weighted average. Find how much each term differs from the average of 999: 993 --> -6 994 --> -5 996 --> -3 997 --> -2 998 --> -1 1001 --> +2 1001 --> +2 1002 --> +3 1004 --> +5 Quickly eliminate the ones that cancel each ...”
August 13, 2018
ceilidh.erickson posted a reply to CEO: Over the past several years, we have more than doubled in the Critical Reasoning forum
“Deloitte, I think you have a typo. You marked the correct answer "incorrect."”
August 13, 2018
ceilidh.erickson posted a reply to The airline company, following through on recent warnings in the Sentence Correction forum
“This question is testing PARALLELISM in a list. If we simplify the sentence, it would read: The airline company... announced that it was 1. eliminating jet service to nine cities 2. closing some unneeded operations, and 3. it grounded twenty-two planes. This is clearly not a parallel ...”
August 13, 2018
ceilidh.erickson posted a reply to The work of Byron and Shelley, like other poets of their era in the Sentence Correction forum
“This question is testing COMPARISONS and MODIFIERS. A. The work of Byron and Shelley, like other poets of their era, explored themes of love and beauty, which gave rise to the school of poetry known as Romanticism. - "work" can''t be like "other poets." We''d have to say ...”
August 13, 2018
ceilidh.erickson posted a reply to GMAT Official Guide 2019 In countries where automobile in the Critical Reasoning forum
“The goal in any BOLDFACE question is to deconstruct the argument, and determine the role of each statement: - author''s conclusion / position - support for the author - the counterpoint / what others believe - support for the counterpoint - neutral / background information This whiplash ...”
August 13, 2018
Brent@GMATPrepNow posted a reply to If x is the sum of six consecutive integers, the x is in the Problem Solving forum
“Let''s test some possible values.... The six consecutive integers COULD be 1, 2, 3, 4, 5, 6 So, the SUM = 1 + 2 + 3 + 4 + 5 + 6 = 21 Now check the three statements.... I. 3 21 IS divisible by 3 So, statement 1 is TRUE. ELIMINATE B and C II. 4 21 is NOT divisible by 3 So, ...”
August 13, 2018
Brent@GMATPrepNow posted a reply to A machine at the golf ball factory can produce 16 golf balls in the Problem Solving forum
“Let''s answer the question in steps... GIVEN: 1 machine produces 16 golf balls in 5 minutes. So, 1 machine produces 16/5 golf balls in 1 minute So, 5 machines produce 16 golf balls in 1 minute So, 10 machines produce 32 golf balls in 1 minute Answer: D Cheers, Brent”
August 13, 2018
Max@Math Revolution posted a reply to In the x-y coordinate plane, the distance between (p,q) and in the Problem Solving forum
“=> (p-1)^2 + (q-1)^2 = 5^2 If p – 1 = ±3, and q - 1 = ±4, then p = 1 ± 3, and q = 1 ± 4. There are four possible points: ( p, q ) = ( 4, 5 ), ( 4, -3 ), ( -2, 5 ), ( -2, -3 ). If p – 1 = ±4, and q - 1 = ±3, then p = 1 ±4, and q = 1 ± 3. There are four possible points: ( p, q ) ...”
August 13, 2018
Max@Math Revolution posted a reply to The lengths of two sides of a certain obtuse triangle are 9 in the Problem Solving forum
“=> If a, b and c are sides of a right triangle and c is the longest side, then c^2 = a^2 + b^2. If a, b and c are sides of an acute triangle and c is the longest side, then c^2 < a^2 + b^2. If a, b and c are sides of an obtuse triangle and c is the longest side, then c^2 > a^2 + ...”
August 13, 2018
Max@Math Revolution posted a reply to x ≠ 0. Is x^2>x^4? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
August 13, 2018
Max@Math Revolution posted a reply to If a, b, and c are consecutive 2-digit positive integers in in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
August 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to If x ≠ 0, is y greater than 0? in the Data Sufficiency forum
“Hi All, We''re told that X is NOT equal to 0. We''re asked if Y is greater than 0. This is a YES/NO question. This question can be solved by with a mix of Number Properties and TESTing VALUES. 1) (X)(Y) = 24 IF.... X = postive and Y = positive, then the answer to the question is YES. X ...”
August 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to numbers in the Problem Solving forum
“Hi vaibhav101, We''re told that 5^A is a FACTOR of N! and the greatest integer value of A is 6. We''re asked for the largest possible value of B such that 7^B is a factor of N! This question is based on Prime Factorization, but comes with a ''twist.'' We''re limited by the 5s that appear in ...”
August 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to Solution A is 40% chlorine by volume, and Solution B is 60% in the Problem Solving forum
“Hi All, We''re told that Solution A is 40% chlorine by volume, and Solution B is 60% chlorine by volume and that a tank currently holds 40 gallons of Solution A. We''re asked for the number of gallons of Solution B must be added so that the liquid in the tank becomes 50% chlorine. This is a ...”
August 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to George bought a large electronic item with a 15% off coupon, in the Problem Solving forum
“Hi All, We''re told that George bought a large electronic item with a 15% off coupon, and paid a total bill. When he got outside, he studied the receipt and realize that he mistakenly had been given double the discount of the coupon, even though there was no double-coupon offer in effect that ...”
August 12, 2018
“Hi Sagar, I''m sorry to hear that Test Day did not go as well as hoped. From what you describe, I think that while you worked through lots of practice questions, you did not necessarily focus on learning and practicing the proper Tactics (and those Tactics are what you will need to hit 720+ on ...”
August 12, 2018
Brent@GMATPrepNow posted a new topic called Challenge: If f(3x + 2) = 9x² + 12x - 1, then f(k - 1) = in the Problem Solving forum
“If f(3x + 2) = 9x² + 12x - 1, then f(k - 1) = A) k² - 2k - 6 B) k² - 2k - 5 C) k² - 2k - 4 D) k² - 2k + 1 E) k² - 2k + 5 Answer: C Difficulty level: 700+ Source: www.gmatprepnow.com * I''ll post a solution in 2 days”
August 12, 2018
Brent@GMATPrepNow posted a new topic called If f(2x - 1) = 4x² - 4x - 8, then f(5) = in the Problem Solving forum
“If f(2x - 1) = 4x² - 4x - 8, then f(5) = A) 16 B) 18 C) 36 D) 48 E) 72 Answer: A Difficulty level: 600 (ish) Source: www.gmatprepnow.com”
August 12, 2018
Brent@GMATPrepNow posted a reply to Are all of the terms in Set A equal? in the Data Sufficiency forum
“Target question: Are all of the terms in Set A equal? Statement 1: The sum of all 14 terms in Set A is 98 There are several possible scenarios that satisfy this statement. Here are two. Case a: Set A = {7,7,7,7,7,7,7,7,7,7,7,7,7,7} in which case all of the numbers ARE equal Case b: Set A = ...”
August 12, 2018
Brent@GMATPrepNow posted a reply to A box contains only red chips, green chips and blue chips. in the Data Sufficiency forum
“Target question: What is the probability that the chip is either red or green? Given: The box contains only red chips, green chips and blue chips Statement 1: The probability of selecting green chip is 1/3 This tells us that 1/3 of the chips are GREEN, but there''s no information about ...”
August 12, 2018
Brent@GMATPrepNow posted a reply to At a certain university, the dormitory policy is that each in the Problem Solving forum
“One approach is to use equivalent ratios Each dormitory must have at least 7 resident advisers for every 200 residents. So, advisers/residents = 7/200 If a dormitory is home to 3500 residents, what is the minimum number of resident advisers required? Let x = minimum number of advisers We ...”
August 11, 2018
Brent@GMATPrepNow posted a reply to A retailer orders u units of an item for which he pays d in the Problem Solving forum
“A retailer orders u units of an item for which he pays d dollars. So, EACH unit costs d/u dollars However, he mistakenly receives u - 3 items. In other words, he received 3 fewer units than he wanted So, he paid for 3 units that he never received (i.e., he was overcharged for 3 units) How ...”
August 11, 2018
Brent@GMATPrepNow posted a reply to A card game called “high-low” divides a deck of 52 playi in the Problem Solving forum
“Once we recognize that we can achieve 5 points by drawing 3 Low cards and 1 High card, then it really comes down to determining the number of ways to rearrange 3 L''s and 1 H. One option is to simply list the arrangements. Alternatively, we can use the MISSISSIPPI rule, which says: If there are ...”
August 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to To Understand GMAT format and Pattern in the GMAT Strategy forum
“Hi Amit, To start, you can learn about the GMAT and get some free practice materials at www.mba.com. 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. If you want to do a ...”
August 10, 2018
Brent@GMATPrepNow posted a reply to In each game of a certain tournament, a contestant either in the Data Sufficiency forum
“Target question: How many games did Pat play in the tournament? Jump straight to... Statements 1 and 2 combined There are several CONFLICTING situations that that satisfy BOTH statement 2. Here are two: Case a: Pat plays 2 games and wins both of them to add 4 points to the 100 points ...”
August 10, 2018
Brent@GMATPrepNow posted a reply to In a home library consisting of 108 books, some hardcover in the Problem Solving forum
“The concept tested here is the same as is tested in this official GMAT question: https://www.beatthegmat.com/og-help-problem-t286349.html Give it a try. Cheers, Brent”
August 10, 2018
Brent@GMATPrepNow posted a reply to A family consisting of one mother, one father, two daughters in the Problem Solving forum
“Another (slightly longer) approach: The restriction about the sisters is somewhat problematic, so let''s IGNORE the rule and seat all 5 people without obeying that restriction. Then once I determine the total number of arrangements, I''ll subtract the number of arrangements where the sisters ...”
August 10, 2018
Brent@GMATPrepNow posted a reply to How many different 3-digit numbers are greater than 299 and in the Problem Solving forum
“Take the task of creating the 3-digit numbers and break it into stages. Stage 1: Select the first digit (hundreds digit) Since the first digit can be 3, 4, 5, 7 or 9, we can complete stage 1 in 5 ways Stage 2: Select the second digit (tens digit) Since the second digit can be 0, 2, 3, 4, ...”
August 10, 2018
Max@Math Revolution posted a new topic called In the x-y coordinate plane, the distance between (p,q) and in the Problem Solving forum
“[Math Revolution GMAT math practice question] In the x-y coordinate plane, the distance between (p,q) and (1,1) is 5. If p and q are integers, how many possibilities are there for the point (p,q)? A. 2 B. 4 C. 8 D. 12 E. 16”
August 10, 2018
Max@Math Revolution posted a reply to If x, y, z are positive integers and x<y<z, which of t in the Problem Solving forum
“=> Since z^x < z^y, we have (z^x)(z^y)< (z^y)(z^y) = z^{2y}. Therefore, the answer is E. Answer: E”
August 10, 2018
Max@Math Revolution posted a new topic called x ≠ 0. Is x^2>x^4? in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] 8.10 x ≠ 0. Is x^2>x^4? 1) x^2<1 2) x^2<2x”
August 10, 2018
Max@Math Revolution posted a reply to If the average (arithmetic mean) of a, b and c is m, is thei in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. We have m = ...”
August 10, 2018
Brent@GMATPrepNow posted a reply to A sports team played 100 games last season. Did this team in the Data Sufficiency forum
“Target question: Did this team win at least half of the games it played last season? Rephrased target question: Did this team win more than 49 games? Statement 1: The team won 60% of its first 65 games In other words, the team won 39 of its first 65 games Since we don''t know the results ...”
August 9, 2018
Brent@GMATPrepNow posted a reply to Problem Solving on Set Theory 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 baseball players, and the two characteristics ...”
August 9, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
August 9, 2018
Max@Math Revolution posted a new topic called The lengths of two sides of a certain obtuse triangle are 9 in the Problem Solving forum
“[Math Revolution GMAT math practice question] The lengths of two sides of a certain obtuse triangle are 9 and 12. Which of the following could be the length of the third side of the triangle? A. 12 B. 13 C. 14 D. 15 E. 16”
August 9, 2018
Max@Math Revolution posted a reply to n is a positive integer less than 50. When n is divided by in the Problem Solving forum
“=> The positive integers less than 50 that have a remainder of 2 when they are divided by 6 are n = 2, 8, 14, 20, 26, 32, 38 and 44. The positive integers less than 50 that have a remainder of 6 when they are divided by 7 are n = 6, 13, 20, 27, 34, 41 and 48. The only integer in both lists ...”
August 9, 2018
Max@Math Revolution posted a new topic called If a, b, and c are consecutive 2-digit positive integers in in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If a, b, and c are consecutive 2-digit positive integers in that order, and a+b+c is a multiple of 10, what is the value of c? 1) a is a prime number 2) c is a prime number”
August 9, 2018
Max@Math Revolution posted a reply to If n is a 2-digit positive integer and its tens digit is 4 t in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
August 9, 2018
Brent@GMATPrepNow posted a reply to If the average (arithmetic mean) of a, b and c is m, is thei in the Data Sufficiency forum
“Target question: Is the standard deviation of a, b and c less than 1? Statement 1: a, b and c are consecutive integers with a < b < c. It''s important to know that standard deviation is a measure of dispersion (how spread apart the values are). So, ANY 3 consecutive integers will have ...”
August 8, 2018
Brent@GMATPrepNow posted a reply to Extra practice with ratios: A certain zoo has exactly five in the Problem Solving forum
“The ratio of the number of alligators to buffalo to camels is 4 : 3 : 1 So we can write: , A : B : C = 4 : 3 : 1 The ratio of the number deer to elephants to buffalo is 6 : 1 : 4 So we can write: D : E : B = 6 : 1 : 4 Notice that both ratios have a B in common. In order to COMBINE the two ...”
August 8, 2018
Max@Math Revolution posted a new topic called If x, y, z are positive integers and x<y<z, which of the fol in the Problem Solving forum
“[Math Revolution GMAT math practice question] If x, y, z are positive integers and x<y<z, which of the following must be greater than (z^x)(z^y)? A. y^{2z} B. y^{2y} C. x^{2y} D. x^{zx} E. z^{2y}”
August 8, 2018
Max@Math Revolution posted a reply to If the range of set A is 5 and the range of set B is 11, whi in the Problem Solving forum
“=> For example, if A = {0,5} and B = { 0, 11 }, then the set A is included in the set B and the smallest possible range of the sets A and B combined is 11, which is the range of the set B. Thus, any number less than 11 cannot be the range of sets A and B, combined. Therefore, A is the ...”
August 8, 2018
Max@Math Revolution posted a new topic called If the average (arithmetic mean) of a, b and c is m, is thei in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If the average (arithmetic mean) of a, b and c is m, is their standard deviation less than 1? 1) a, b and c are consecutive integers with a < b < c. 2) m = 2”
August 8, 2018
Max@Math Revolution posted a reply to a, b, c, d, e and f are integers. Is their median greater th in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
August 8, 2018
Rich.C@EMPOWERgmat.com posted a reply to As a bicycle salesperson, Norman earns a fixed salary of ... in the Data Sufficiency forum
“Hi All, To start, we will need to 5 answer choices for reference (as the ability to ''prove'' or ''disprove'' an answer can help us to eliminate answer choices): A) I only B) II only C) I and II D) II and III E) I, II, and III This Roman Numeral question can be solved with ...”
August 8, 2018
Rich.C@EMPOWERgmat.com posted a reply to a, b, x & y are positive integers. If ay=bx, is 7 a fact in the Data Sufficiency forum
“Hi vinni.k, We''re told that A, B, X and Y are positive INTEGERS and that (A)(Y) = (B)(X). We''re asked if 7 a factor of X. This is a YES/NO questions. While this prompt might look ''scary'', it''s built around a Prime Factorization ''shortcut'' that you can use to avoid doing lots of math. ...”
August 8, 2018
Rich.C@EMPOWERgmat.com posted a reply to The surface area of a rectangular field was changed so that in the Data Sufficiency forum
“Hi All, We''re told that the surface area of a rectangular field was changed so that one of its dimensions was REDUCED by 10 feet and the other dimension was INCREASED by 20 feet. We''re asked for the area of the field BEFORE these changes were made. This question can be solved by TESTing ...”
August 8, 2018
ceilidh.erickson posted a reply to In the circle above with center O, what is the length of in the Data Sufficiency forum
“Since we know that minor arc BC is a 60* arc (corresponding to a 30* interior angle), then we know that it makes up 1/6 of the circumference of the circle. If we can find the circumference, we''ll know the value of arc BC. (1) diameter AC = 24 Given the diameter, we''ll be able to find the value ...”
August 7, 2018
ceilidh.erickson posted a reply to Is the tens digit of a two digit integer k divisible by 3? in the Data Sufficiency forum
“Rephrased question: is the tens digit of k a 3, 6, or 9? Test values with the statement to try to prove insufficiency: (1) k - 5 is a multiple of 3 This tells us that k is 5 more than some multiple of 3. Test some 2-digit multiples of 3: Case 1: 3x = 27 --> k = 32. Is the tens digit ...”
August 7, 2018
ceilidh.erickson posted a reply to How I got a 740 (Q50 V40) !!! in the I just Beat The GMAT! forum
“Congratulations on the fantastic score! I''m so glad that you found the Manhattan Prep materials helpful. Best of luck on the applications!”
August 7, 2018
ceilidh.erickson posted a reply to GMAT OG 2019 Linda Kerber argued in the mid-1980s in the Reading Comprehension forum
“Poster: please double-check your question numbers and your OAs. You list questions 448-452, but give answers for 449-453. At least one of the OAs you listed is incorrect.”
August 7, 2018
ceilidh.erickson posted a reply to GMAT Official Guide 2019 Boreal owls range over a much in the Critical Reasoning forum
“With BOLDFACE questions in CR, you need to determine the following: - what is the author''s position? (or someone else''s position presented by the author)? - what is given in support of that position? - are there opposing viewpoints presented? - is each statement and OPINION or a FACT? ...”
August 7, 2018
ceilidh.erickson posted a reply to OG VR 19: Since 1992, in an attempt to build in the Sentence Correction forum
“This question is testing PRONOUNS and MEANING. (A) them - there is pronoun ambiguity. Because "them" could refer to "state officials" or "rivers" (or possibly even "salmon"), we should use a noun rather than a pronoun. (B) the river - since ...”
August 7, 2018
ceilidh.erickson posted a reply to OG VR 18 : Long overshadowed by the Maya and Aztec in the Sentence Correction forum
“This question is testing MODIFIERS and MEANING. Whenever a sentence begins with a participial modifier such as "Long overshadowed by the Maya and Aztec civilizations...", that must be followed by the SUBJECT being modified. The thing long overshadowed by other civilizations is the ...”
August 7, 2018
Brent@GMATPrepNow posted a reply to There is at least one red bal and at least one blue ball in in the Data Sufficiency forum
“Statement 1 indirectly tells us that it''s IMPOSSIBLE to select 2 blue balls. So, the box must contain fewer than 2 blue balls. Since we''re told that the box contains AT LEAST 1 blue ball, we can be certain that there is EXACTLY 1 blue ball. As far a red balls are concerned, all we know for ...”
August 7, 2018
Brent@GMATPrepNow posted a reply to If the speed of X meters per second is equivalent to the in the Problem Solving forum
“We want to convert meters per second to kilometers per hour First, since 1 kilometer = 1000 meters, we can also say that 1 kilometer/1000 meters = 1 Second, since 3600 seconds = 1 hour, we can also say that 3600 seconds/1 hour = 1 This means that multiplying a value by 1 kilometer/1000 meters ...”
August 7, 2018
Max@Math Revolution posted a new topic called n is a positive integer less than 50. When n is divided by in the Problem Solving forum
“[Math Revolution GMAT math practice question] n is a positive integer less than 50. When n is divided by 6, the remainder is 2, and when n is divided by 7, the remainder is 6. What is the remainder when n is divided by 8? A. 1 B. 2 C. 3 D. 4 E. 5”
August 7, 2018
Max@Math Revolution posted a new topic called If n is a 2-digit positive integer and its tens digit is 4 t in the Data Sufficiency forum
“[Math Revolution GMAT math practice question] If n is a 2-digit positive integer and its tens digit is 4 times its units digit, what is the value of n? 1) The tens digit of n is 8. 2) The sum of the tens digit and the units digit of n is 2-digit integer.”
August 7, 2018
Rich.C@EMPOWERgmat.com posted a reply to Each of the 45 boxes on shelf J weighs less than each of the in the Data Sufficiency forum
“Hi NandishSS, This is a great ''concept'' question, meaning that you don''t really have to do any math to answer it as long as you understand the concepts involved. We''re told that EACH of the 45 boxes on shelf J weighs LESS than EACH of the 44 boxes on shelf K. We''re asked for the MEDIAN ...”
August 7, 2018
Rich.C@EMPOWERgmat.com posted a reply to Buckets X and Y contained only water and bucket Y was in the Data Sufficiency forum
“Hi All, We''re told that Buckets X and Y contained only water and bucket Y was 1/2 full and that all of the water in bucket X was then poured into bucket Y. We''re asked what fraction of the capacity of Y was then filled with water. This question can be approached in a couple of different ways, ...”
August 7, 2018