Rich.C@EMPOWERgmat.com posted a reply to A chef mixes P ounces of 60% sugar solution with Q ounces of in the Data Sufficiency forum
“Hi All, To start, you have to be very careful about your assumptions with this question. You will likely find that doing a little bit of extra work will help you to be sure that you have the correct answer. From the prompt, we know that we''re mixing P ounces of a 60% sugar solution with Q ounces ...”
Yesterday
Rich.C@EMPOWERgmat.com posted a reply to Can the positive integer p be expressed as the product of in the Data Sufficiency forum
“Hi All, We''re told that P is a positive integer. We''re asked if P can be expressed as the PRODUCT of two integers, each of which is greater than 1. This is a YES/NO question can be be solved by TESTing VALUES. 1) 31 < p < 37 With the range given in Fact 1, P can only be 5 ...”
Yesterday
Rich.C@EMPOWERgmat.com posted a reply to If p is the sum of the reciprocals of the consecutive intege in the Problem Solving forum
“Hi All, Based on the wording of the prompt, you might think that you should add up the fractions 1/91 + 1/92 + .... 1/100, but the GMAT would NEVER require that you do that math. Instead, lets do some real basic estimation of what that sum would be LESS than and GREATER than.... Note that we''re ...”
Yesterday
Rich.C@EMPOWERgmat.com posted a reply to A dealer originally bought 100 identical batteries at a tota in the Problem Solving forum
“Hi All, We''re told that a dealer originally bought 100 identical batteries at a total cost of Q dollars and that each battery was sold at 50 percent above the original cost per battery. We''re asked for the amount, in dollars, that each battery was sold, in terms of Q. This question can also be ...”
Yesterday
Rich.C@EMPOWERgmat.com posted a reply to OG DS in the GMAT Math forum
“Hi rashedhbs, To start, you would like receive more of a response if you make sure to post your questions in the proper forums. For example, the DS forum can be found here: https://www.beatthegmat.com/data-sufficiency-f7.html We''re told that 230 single-family homes that were BUILT in City ...”
Yesterday
Brent@GMATPrepNow posted a reply to Kevin buys beer in bottles and cans. He pays $1.00 for each in the Data Sufficiency forum “Target question: How many bottles of beer did Kevin buy? Given: Kevin pays$1.00 for each can of beer and $1.50 for each bottle of beer. Kevin buys a total of 15 bottles and cans of beer Let C = the NUMBER of Cans that Kevin bought Let B = the NUMBER of Bottles that Kevin bought So, we can ...” November 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to When a certain tree was first planted, it was 4 feet tall, in the Problem Solving forum “Hi All, TESTing the ANSWERS is a great way to tackle this question. The "fast" way to solve a problem can still sometimes take time, but regardless of how you approach a prompt, you still need to take notes and stay organized. From the screen capture, you chose answer C (1/2). If ...” November 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to A reatil appliance store priced a video recorder at 20 in the Problem Solving forum “Hi All, We''re told that a retail appliance store priced a video recorder at 20 percent above the wholesale cost of$200 and a store employee applied the 10 percent employee discount to the retail price to buy the recorder. We''re asked for the total price the employee paid for the recorder. The ...”
November 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to In a certain toy store, 20% of the international branded in the Problem Solving forum
“Hi swerve, We''re told that in a certain toy store, 20% of the INTERNATIONAL branded toys are the ONLY premium category toys and that premium toys make up 10% of the TOTAL number of toys in the store. We''re asked to find the percentage of toys in the store that are international brands. This ...”
November 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT retake in the GMAT Strategy forum
“Hi BHUPENDRA, First off, a 640/Q49 is a solid score (it''s right around the 70th percentile overall), so it could be enough to get you into your first-choice School. GMAC has publicly stated that the Official Score that you earn on Test Day is within +/- 30 points of actual ability. Assuming a ...”
November 16, 2018
Brent@GMATPrepNow posted a reply to What is the least possible product of 4 different integers, in the Problem Solving forum
“We want values with the greatest MAGNITUDE So (10)(9)(8)(-5) = -3600 Answer: -3600 Answer: B”
November 16, 2018
Brent@GMATPrepNow posted a reply to A reatil appliance store priced a video recorder at 20 in the Problem Solving forum
“A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200 20% of$200 = $40 So, the retail price =$200 + $40 =$240 If a store employee applied the 10 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the ...”
November 16, 2018
Brent@GMATPrepNow posted a reply to Planning is in progress for a fenced, rectangular playground in the Problem Solving forum
“It''s a good idea to first try to understand what the graph is telling us. For example, the leftmost point on the curve has the coordinates (10, 340) This tells us that, if the length of the playground is 10 meters, then a total of 340 meters of fencing is required. This makes sense, since we ...”
November 16, 2018
Brent@GMATPrepNow posted a reply to When a certain tree was first planted, it was 4 feet tall, in the Problem Solving forum
“Height of tree on day 0 = 4 Let d = the height increase each year Height of tree at the end of the 1st year = 4+d Height of tree at the end of the 2nd year = 4+d+d = 4 + 2d Height of tree at the end of the 3rd year = 4+d+d+d = 4 + 3d Height of tree at the end of the 4th year = 4+d+d+d+d = 4 + ...”
November 16, 2018
Brent@GMATPrepNow posted a reply to In the rhombus ABCD, the length of diagonal BD is 6 and the in the Problem Solving forum
“In a rhombus, the diagonals are perpendicular bisectors. http://i1168.photobucket.com/albums/r500/GMATPrepNow/rhmbs1_zps1nyufj6q.png So, we can add our lengths as follows. http://i1168.photobucket.com/albums/r500/GMATPrepNow/rhmbs2_zpskyv3wwkl.png From here, if we focus on one of the 4 ...”
November 16, 2018
Jay@ManhattanReview posted a reply to Planning is in progress for a fenced, rectangular playground in the Problem Solving forum
“Say the length of the playground is a meters and the breath is b meters. Thus, Area = ab = 1600 (given) and Perimeter = 2(a + b) We have to minimize the value of (a + b), given that ab = 1600 (constant) Note that If the product of two numbers is a constant, their sum would be ...”
November 16, 2018
Jay@ManhattanReview posted a reply to Is |x|/x equal to -1? in the Data Sufficiency forum
“Looking at the fraction |x|/x, we see that the numerator |x| is a positive number, thus for |x|/x to be equal to –1, x must be negative. Let''s take each statement one by one. 1) x > 0 => x is positive. Thus, |x|/x equal to 1 ≠ –1. The answer is no. Unique answer. Sufficient. ...”
November 16, 2018
Jay@ManhattanReview posted a reply to Is the 5-digit positive integer abc000 divisible by 24? in the Data Sufficiency forum
“We have to ascertain whether abc000 is divisible by 24. Factors of 24 = 3*8 = 3*2^3 So, if abc000 is divisible by 24, it must be divisible by 3 as well as 2^3. Let''s first check the rule for the divisibility of a number by 3. A number is divisible by 3 if the sum of its digits is ...”
November 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to Planning is in progress for a fenced, rectangular playground in the Problem Solving forum
“Hi All, While this prompt is wordy, the relevant facts are not too hard to pull out. We''re told that a rectangular playground will have an area of 1,600 square meters and we want to MINIMIZE the perimeter of the playground. We''re asked for the LENGTH of the playground under those ...”
November 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to At the Trenchard Oaks apartment complex, a two-bedroom in the Problem Solving forum
“Hi All, We''re told that a two-bedroom apartment costs 50% more to rent than a one-bedroom apartment. If Alex were to rent a two-bedroom apartment for X months it would cost him the same amount as it would to rent a one-bedroom for 12 months. We''re asked for the value of X. This question can be ...”
November 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to Is it possible to score a 700 in 30 days ? in the GMAT Strategy forum
“Hi anish_025, Have you taken the Official GMAT yet? If you have, then how did you Score (including the Quant and Verbal Scaled Scores)? Before I can offer you the specific advice that you’re looking for, it would help if you could provide a bit more information on how you''ve been studying ...”
November 16, 2018
Brent@GMATPrepNow posted a reply to If xy is not equal to zero, what is the ratio of x to y? in the Data Sufficiency forum
“NOTE: We can write the ratio x:y as a fraction x/y Target question: What is the value of x/y ? Statement 1: 3x = 4y Divide both sides by y to get: 3x/y = 4 Divide both sides by 3 to get: x/y = 4/3 So, the answer to the target question is x/y = 4/3 Since we can answer the target question ...”
November 16, 2018
Brent@GMATPrepNow posted a reply to At the Trenchard Oaks apartment complex, a two-bedroom in the Problem Solving forum
“A fast and easy approach is to assign a "nice" value to the monthly rent of a ONE-bedroom apartment. Let''s say the rent on a ONE-bedroom apartment is $100 per month A two-bedroom apartment costs 50% more to rent than a one-bedroom apartment 50% of$100 = $50 So, the rent on a ...” November 15, 2018 Rich.C@EMPOWERgmat.com posted a reply to In a certain game, a large bag is filled with blue, green, in the Problem Solving forum “Hi All, This question involves a bit of logical thinking and factoring skills. You have to take notes and stay organized though, if you want to answer this question correctly. We''re told: Blue chips = 1 point each Green chips = 5 points each Purple chips = X points each (more than ...” November 15, 2018 Brent@GMATPrepNow posted a reply to If line k in the xy-coordinate plane has the equation Ax + B in the Data Sufficiency forum “ Given: Line k has the equation Ax + By = C Target question: What is the slope of line k ? This is a good candidate for rephrasing the target question. Let''s take the given equation Ax + By = C and rewrite it in slope y-intercept form, y = mx + b, where m = slope and b = y-intercept ...” November 15, 2018 Brent@GMATPrepNow posted a reply to What is the ratio of x:y:z? in the Data Sufficiency forum “Target question: What is the ratio of x:y:z? Statement 1: xy = 14 In information about z Statement 1 is NOT SUFFICIENT Statement 2: yz = 21 In information about x Statement 2 is NOT SUFFICIENT Statements 1 and 2 combined There are several values of x, y and z that satisfy BOTH ...” November 15, 2018 Brent@GMATPrepNow posted a reply to If xy : yz : zx = 1:2:3, then what is x : y : z ? in the Problem Solving forum “Let''s focus on pairs of values If xy : yz : zx = 1:2:3, then we know that xy : yz = 1:2 Take xy : yz and divide both sides by y to get the EQUIVALENT ratio x:z This means x:z = 1:2 Check the answer choices... A. 2 : 3 : 6 this answer choice says x:z = 2:6. We need x:z = 1:2 ELIMINATE A ...” November 15, 2018 Brent@GMATPrepNow posted a reply to Over a four-game stretch, Dennis's bowling scope average 240 in the Problem Solving forum “In other words, an increase from 240 to 300 represents what kind of percent increase? Percent increase = (100)(new - old)/old = (100)(300 - 240)/240 = (100)(60)/240 = (100)(1/4) = 25% Answer: B Cheers, Brent” November 15, 2018 Jay@ManhattanReview posted a reply to A certain store will order 25 crates of apples. The apples in the Problem Solving forum “Say the # of crates of McIntosh, Rome, and Winesap are x, y and z, respectively. Thus, x + y + z = 25 such that x > y and x > z. Note that there is no comparison given between y and z. Since we have to find out the least possible value of x, let''s assume that x = y = z, thus from x + ...” November 15, 2018 Jay@ManhattanReview posted a reply to If a certain company purchased computers at$2000 each and in the Data Sufficiency forum
“Say the # of computers = x and the # of printers = y Thus, the total amount for the purchase of the computers and printers = 2000x + 300y We have to get the value of x. Let''s take each statement one by one. 1. More than three printers were purchased. Certainly insufficient. 2. ...”
November 15, 2018
Jay@ManhattanReview posted a reply to If x and y are unknown positive integers, is the mean of the in the Data Sufficiency forum
“Let''s take each statement one by one. 1) x + y = 7. Mean = (1 + 5 + 6 + 7 + x + y)/6 = (19 + x + y)/6 = (19 + 7)/6 = 4.33 To find out median, we must first arrange terms in an ascending order. The terms, excluding x and y are: 1, 5, 6, 7. Median, excluding x and y: 5.5 If one of ...”
November 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT Prep Experience with EMPOWERgmat in the I just Beat The GMAT! forum
“Hi Shubrat, That''s FANTASTIC news! With this 690, you can apply to any Schools that interest you (and it sounds as if this score puts you above the average Scores at the Programs that you''re considering - which is great news). I hope you reach out and let us know how your applications go. We ...”
November 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to retake gmat in the GMAT Strategy forum
“Hi Sarat, Studying 12 hours a day would probably be too much studying - and would likely lead to an increased chance of ''burning out'' before your Exam (and that is something that we want to avoid). If you want to study 6-8 hours a day, then that would probably be fine - but you must build in ...”
November 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to Self Study Materials - All Areas - 4 month preparation in the GMAT Strategy forum
“Hi Gopi, To start, a 570 is a strong ''baseline'' score (the average score on the Official GMAT hovers around 550 most years). You''ve also given yourself plenty of time to study - which is good. Given your Score Goal, you would likely find it beneficial to invest in a GMAT Course of some type ...”
November 15, 2018
Brent@GMATPrepNow posted a reply to The table above shows the distribution of tests scores for a in the Problem Solving forum
“Since we have an ODD number of values, the median will be the MIDDLEMOST value. In other words, if we arrange all 73 values in ASCENDING order, the median will be the 37th value (i.e., 36 values are below and 36 values are above). The table says the first 2 scores in the 50-59 range. So, the 1st ...”
November 15, 2018
Brent@GMATPrepNow posted a reply to # X-Axis Intercepts in the Problem Solving forum
“Let''s find some points that lie on each of the curves. So, for each equation, we''ll find a pair of values (an x-value and a y-value) that satisfy each equation. We''ll do so by plugging in some x-values and calculating the corresponding y-values. Let''s start with x = 0 Plug x = 0 into ...”
November 14, 2018
Jay@ManhattanReview posted a reply to In single row of yellow, green and red colored tiles, every in the Data Sufficiency forum
“So, there can be few arrangements. Two such as given below 1: GYR | GYR |GYR |GYR |GYR |GYR |GYR |GYR | 2: GYRGGGGGGGGGGGGGGGGGGGGG Note that G not necessarily follows any tile. Let''s take each statement one by one. 1) The 18th tile in the row is not yellow. Let''s mark the color ...”
November 14, 2018
Jay@ManhattanReview posted a reply to A library bought b books for its collection. What was the in the Data Sufficiency forum
“The total amount of money required to buy the b = 40 books > 12.50*40. No unique answer. Insufficient. The correct answer: E Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Begumpet | Hyderabad GMAT Prep | Bangalore GMAT Courses | ...”
November 14, 2018
Jay@ManhattanReview posted a reply to Dan took a 20-question multiple-choice test in psycology. in the Data Sufficiency forum
“Let''s take each statement one by one. 1) Dan answered fewer than 40 percent of the questions incorrectly. => # of incorrect qns < 40% of 20 = 8. => # of correct qns > (20 – 8 = 12). Sufficient. 2) Dan answered at least 25 percent of the questions incorrectly. => # of ...”
November 14, 2018
Jay@ManhattanReview posted a reply to At a certain company, a test was given to a group of men and in the Data Sufficiency forum
“Say > the average score of men = x; > the average score of women = y; > the number of men = m; > the number of women = w Thus, total score of the group = mx + wy Average score of the group = (mx + wy)/(m + w) = 80 We have to determine whether y > 85 Let''s take each ...”
November 14, 2018
Jay@ManhattanReview posted a reply to What are the angles of triangle XYZ? in the Data Sufficiency forum
“Pl. refer to the image below. https://i.postimg.cc/0zPZNZw6/S1-2.png https://i.postimg.cc/jww41FG1/S1-2.png The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review Begumpet | Hyderabad GMAT Prep | Bangalore GMAT Courses ...”
November 14, 2018
Brent@GMATPrepNow posted a reply to How many positive two-digit numbers yield a remainder of 1 in the Problem Solving forum
“When it comes to remainders, we have a nice rule that says: If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), ...”
November 14, 2018
ceilidh.erickson posted a reply to What is the area of the quadrilateral with vertices A, B, C, in the Data Sufficiency forum
“Fabio beat me to the post while I was still drawing diagrams <i class="em em-wink"></i> But mine will take you through both statements individually, in case anyone couldn''t rule them out as insufficient.”
November 13, 2018
ceilidh.erickson posted a reply to What is the area of the quadrilateral with vertices A, B, C, in the Data Sufficiency forum
“On a DS geometry question with no diagram given, try to draw different versions of a diagram based on the information given. Question: What is the area of the quadrilateral with vertices A, B, C, and D? We have no information about the quadrilateral to begin with. We will at least need some ...”
November 13, 2018
ceilidh.erickson posted a reply to Of patients over 65 years old who survived coronary bypass in the Critical Reasoning forum
“Whenever we''re asked to WEAKEN an argument, we must find the LOGICAL FLAW that exists between the premises and the conclusion. Premise: Of patients over 65 years old who survived coronary bypass surgery... only 75 percent benefited from the surgery Conclusion: Thus it appears that for one ...”
November 13, 2018
ceilidh.erickson posted a reply to Which of the following most logically completes the passage? in the Critical Reasoning forum
“This question is a variant of one from the Official Guide that asked about boldface portions: https://www.beatthegmat.com/scientists-go-their-work-mostly-before-the-age-of-40-t149219.html#538772”
November 13, 2018
ceilidh.erickson posted a reply to Which of the following most logically completes the passage? in the Critical Reasoning forum
“We want to support the explanation that being in a field for too long diminishes creativity, NOT that being too old in general diminishes creativity. We need a piece of information that connects to length of time in the field. (A) the average age of recipients of scientific research grants is ...”
November 13, 2018
ceilidh.erickson posted a reply to For each country listed in the left column of the table, the in the Problem Solving forum
“Let''s say that A = 1 unit of country A''s currency, X = 1 unit of country X''s currency, and so on. Using the table given, we can create equations: A = 2.2X B = 0.5X C = 0.1X D = 4.0X E = 1.7X Now, plug these into the answer choices: A. 4 units of Country A currency --> 4(2.2X) = ...”
November 13, 2018
ceilidh.erickson posted a reply to Invisible Constraint. OG # 8 vs OG#123 in the Data Sufficiency forum
“Your question is a very understandable one. If you want to be absolutely sure whether there is only one pair of values that work or multiple pairs of values, you should create a table / chart. Start by charting the maximum amount of the variable with the higher coefficient, and see if there''s a ...”
November 13, 2018
ceilidh.erickson posted a reply to If a certain company purchased computers at $2000 each and in the Data Sufficiency forum “We have 2 unknowns in this question. Let: C = number of computers P = number of printers We''re given information about the cost of each device, but no information about the total cost, or the total number of devices. To solve for C, we''ll need either 2 equations for the 2 variables, or ...” November 13, 2018 Rich.C@EMPOWERgmat.com posted a reply to Distance Problem in the Problem Solving forum “Hi All, We''re told that A, B and C each drive 100-mile legs of a 300-mile course at speeds of 40, 50 and 60 miles per hour, respectively. We''re asked what FRACTION of the total drive time did A drive. This question can be solved in a couple of different ways; there''s actually a great ''ratio ...” November 13, 2018 Rich.C@EMPOWERgmat.com posted a reply to Paul sells encyclopedias door-to-door. He earns$160 on in the Problem Solving forum
“Hi All, We''re told that Paul sells encyclopedias door-to-door. He earns $160 on every paycheck, regardless of how many sets he sells and a commission as follows: 10% on the first$10,000.00 and 5% for any additional sales beyond that. His largest paycheck of the year was $1,320. We''re ...” November 13, 2018 Rich.C@EMPOWERgmat.com posted a reply to On a wedding catering service, An experienced chef can in the Problem Solving forum “Hi All, We''re told that on a wedding catering service, an experienced chef can prepare a service for a wedding in 8 hours while an novice chef would finish the preparations in 12 hours. If the catering service employs the SAME number of novice and experienced chefs, then how many chefs would it ...” November 13, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMATPrep in the Problem Solving forum “Hi All, We''re told that 3^(X) - 3^(X-1) = 162. We''re asked for the value of then (X)(X-1). This question can be solved rather easily with a bit of ''brute force'' arithmetic. Since we''re dealing with ''powers of 3'', let''s map out the first several values: 3^1 = 3 3^2 = 9 3^3 = 27 3^4 ...” November 13, 2018 Rich.C@EMPOWERgmat.com posted a reply to The ratio of the degree measures of the angles of a triangle in the Problem Solving forum “Hi All, We''re told that the ratio of the degree measures of the angles of a triangle is 2:3:4. We''re asked which of the following is the sum of the degree measures of the SMALLEST and LARGEST angles. Since the ratio of the angles is 2:3:4, we can refer to those 3 angles as 2X, 3X and 4X, ...” November 13, 2018 Rich.C@EMPOWERgmat.com posted a reply to When Leo imported a certain item, he paid a 7 percent import in the Problem Solving forum “Hi All, You can approach this question by TESTing THE ANSWERS. Instead of setting this up algebraically, you can use the ''spread'' of the answer choices to your advantage. Here, if the total value of the item were$2,000, then the tax would only apply to the amount over $1,000....$1,000 x ...”
November 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to A chemical supply company has 60 liters of a 40% HNO3 in the Problem Solving forum
“Hi swerve, We''re told that a chemical supply company has 60 liters of a 40% HNO3 solution. We''re asked for the number of liters of pure undiluted (meaning 100%) HNO3 the chemists must add so that the resultant solution is a 50% solution. This question is essentially a ''Weighted Average'' ...”
November 13, 2018
Brent@GMATPrepNow posted a reply to When Leo imported a certain item, he paid a 7 percent import in the Problem Solving forum
“Here''s a step-by-step algebraic solution. Let T = the TOTAL value of the item. Leo paid a 7% import tax on the portion of the total value of the item in EXCESS of $1000 So, Leo pays tax on the amount that''s GREATER then$1000 So, Leo pays 7% tax on (T - 1000) We can write: import tax = ...”
November 13, 2018
Brent@GMATPrepNow posted a reply to If xy ≠ 0 and x^2+4y^2=4xy, (x+y)/(x-y)=? in the Problem Solving forum
“GIVEN: x² + 4y² = 4xy Subtract 4xy from both sides to get: x² - 4xy + 4y² = 0 Factor left side to get: (x - 2y)(x - 2y) = 0 So, we can conclude that (x - 2y) = 0, which means x = 2y Now take (x+y)/(x-y) and replace x with 2y to get: (x + y)/(x - y) = (2y + y)/(2y - y) = 3y/y = 3 ...”
November 13, 2018
Jay@ManhattanReview posted a reply to In a school election, Joan and Peter were the only candidate in the Data Sufficiency forum
“Say the total number of votes cast by Juniors = J and the total number of votes cast by Seniors = S # of votes Joan received = 390 + (J – 336) If we get the value of J, we get the answer. Let''s take each statement one by one. (1) Joan received 40% of the votes cast by seniors ...”
November 13, 2018
Jay@ManhattanReview posted a reply to In 1990 850 million movie tickets were sold in the United in the Data Sufficiency forum
“# of tickets bought by ppl over 50 years = 1/5 of 850 = 170 M # of tickets bought by ppl ≤ 50 yrs = 850 – 170 = 680 Question: Did people under the age of 20 buy more than 425 million movie tickets? Let''s take each statement one by one. (1) In 1990, people under the age of 20 bought ...”
November 13, 2018
Jay@ManhattanReview posted a reply to A store purchased 20 coats that each cost an equal amount in the Data Sufficiency forum
“Say the selling price of each coat is %y and the cost price is $x. Thus, gross profit on 20 coats = 20(y – x). We have to get the value of (y – x). Let''s take each statement one by one. (1) If the selling price per coat had been twice as much, the store’s gross profit on the 20 ...” November 13, 2018 Rich.C@EMPOWERgmat.com posted a reply to During the four years that Mrs. Lopez owned her car, she in the Problem Solving forum “Hi All, While this question IS wordy, the math behind it is just arithmetic. If you break the prompt into ''pieces'', then the work shouldn''t be too difficult. The first two sentences tell us that the total car expenses were$18,000, fuel and maintenance costs accounted for 1/3 of THAT total and ...”
November 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to 490 to 740, Verbal 45 - The GMAT Crush Fest in the I just Beat The GMAT! forum
“Hi clubber112358, You might find it useful to start your own post-thread (instead of piggy-backing on this one) and providing a more-detailed description of how you''ve been studying. If you would rather keep the discussion private, then you can feel free to PM or email me directly. Before I ...”
November 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to retake gmat in the GMAT Strategy forum
“Hi sarat0994, From what you have described, it sounds as if you worked through lots of practice questions, but it''s not clear whether you were actually practicing Tactics and training to take advantage of all of the built-in patterns that GMAT question-writers put into the Exam or not. Raising ...”
November 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to [ADVICE IS WELCOME!] Post GMAT Debrief in the GMAT Strategy forum
“Hi Leo, To start, since you have named some highly-competitive Schools, you would likely find it beneficial to speak with an Admissions Expert about your overall profile and application plans. There''s a Forum full of those Experts here: ...”
November 12, 2018
Brent@GMATPrepNow posted a reply to OG #217 question in the Problem Solving forum
“P(selecting a sibling pair) = P(select a junior with a sibling AND select the senior who is that junior''s sibling) = P(select a junior with a sibling) x P(select the senior who is that junior''s siblingx 1/800 = 60/800,000 = 3/40,000 = A Note: P(select a junior with a sibling) = 60/1000, ...”
November 12, 2018
Brent@GMATPrepNow posted a reply to In the figure AB and CD are two diameters of circle. in the Problem Solving forum
“Let''s use some useful circle properties First let''s add a blue line, to divide ∠CEB into 2 angles https://i.imgur.com/xe05QIU.png CD is the DIAMETER of the circle Since ∠CED is an inscribed angle containing (aka "holding") the diameter, we can conclude that ∠CED = 90° ...”
November 12, 2018
Brent@GMATPrepNow posted a reply to Is the tallest child in Class A taller than tallest child in in the Data Sufficiency forum
“Target question: Is the tallest child in Class A is taller than tallest child in Class B? Jump to . . . Statements 1 and 2 COMBINED There are several scenarios that satisfy BOTH statements. Here are two: Case a: Class A heights = {1, 50} and Class B heights = {2, 40}. In this case, the ...”
November 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to A gardener is going to plant 2 red rosebushes and 2 white in the Problem Solving forum
“Hi All, The math that''s required to answer this question can actually be done in a couple of different ways, depending on how you "see" probability questions. We''re given 2 red rosebushes (R1 and R2) and two white rosebushes (W1 and W2). We''re told to put these 4 rosebushes in a ...”
November 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to Veritas Prep: is it significantly harder than others? in the GMAT Strategy forum
“Hi baldururikson, The scoring algorithm on the Official GMAT is far more complicated than most people realize. Since that algorithm is proprietary, no GMAT company has an exact match for it, thus CAT scores can vary a bit based on the ''biases'' involved in their respective designs. The most ...”
November 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to 12 year out of college, GMAT study plans? in the GMAT Strategy forum
“Hi KDR83, First off, a 640 is a solid score (it''s right around the 70th percentile overall), so it could be enough to get you into your first-choice School. As such, a retest might not be necessary. Depending on the Schools that you plan to apply to, you would likely find it beneficial to speak ...”
November 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to Feel Demotivated in the The GMAT Avengers Study Group forum
“Hi Arun192097, Since this website is devoted to preparing for the GMAT and applying to Business School, we should focus on those areas of discussion. Before I can offer you the specific advice that you’re looking for, it would help if you could provide a bit more information on how you''ve ...”
November 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to retake gmat in the GMAT Strategy forum
“Hi sarat0994, I''m sorry to hear that Test Day did not go as well as hoped. The ''swings'' in your practice CAT/mock Scores imply that you might have taken those Exams in an inconsistent fashion - and in ways that did not necessarily ''match up'' with what you faced on Test Day. Before we ...”
November 11, 2018
Brent@GMATPrepNow posted a reply to Eight women and two men are available to serve on a in the Problem Solving forum
“When it comes to probability questions involving "at least," it''s best to try using the complement. That is, P(Event A happening) = 1 - P(Event A not happening) So, here we get: P(getting at least 1 man) = 1 - P(not getting at least 1 man) What does it mean to not get at least 1 man? ...”
November 11, 2018
Brent@GMATPrepNow posted a reply to If the positive integer n is greater than 6, what is the in the Data Sufficiency forum
“Here''s a somewhat long approach (but it works!): Target question: What is the remainder when n is divided by 6? Given: Positive integer n is greater than 6 Statement 1: When n is divided by 9, the remainder is 2. ------ASIDE---------------- When it comes to remainders, we have a ...”
November 11, 2018
Brent@GMATPrepNow posted a reply to If x and y are positive integers, what is the remainder when in the Data Sufficiency forum
“Hi Swerve, To avoid ambiguity, you might want to add some spaces or brackets to the original expression. As it stands, 10^x+y could be interpreted as either 10^(x+y) or (10^x) + y Cheers, Brent”
November 11, 2018
Brent@GMATPrepNow posted a reply to If x and y are positive integers such that x = 8y + 12, what in the Data Sufficiency forum
“Target question: What is the greatest common divisor of x and y? Given: x = 8y + 12 Statement 1: x = 12u, where u is an integer. There are several pairs of values that satisfy the given conditions. Here are two: Case a: x=36 and y=3, in which case the GCD of x and y is 3 Case b: x=60 ...”
November 11, 2018
Brent@GMATPrepNow posted a reply to Which of the following is closest to the value of (2^23) in the Problem Solving forum
“(2^23)(5^26) = (2^23)(5^23)(5^3) = (2^23)(5^23)(5^3) = (10^23)(5^3) = (10^23)(125) ≈ (10^23)(100) ≈(10^23)(10^2) ≈10^25 Answer: C Cheers, Brent”
November 11, 2018
Brent@GMATPrepNow posted a reply to A gardener is going to plant 2 red rosebushes and 2 white in the Problem Solving forum
“We can also apply probability rules: P(2 middle bushes are red) = P(1st bush is white AND 2nd bush is red AND 3rd bush is red AND 4th bush is white) = P(1st bush is white) x P(2nd bush is red) x P(3rd bush is red) x P(4th bush is white) = 2/4 x 2/3 x 1/2 x 1/1 = 1/6 = B Cheers, Brent”
November 11, 2018
Brent@GMATPrepNow posted a reply to A gardener is going to plant 2 red rosebushes and 2 white in the Problem Solving forum
“As with many probability questions, we can also solve this using counting techniques. P(2 middle are red) = (# of outcomes with 2 red in middle)/(total number of outcomes) Label the 4 bushes as W1, W2, R1, R2 total number of outcomes We have 4 plants, so we can arrange them in 4! ways = ...”
November 11, 2018
Brent@GMATPrepNow posted a reply to Of the first three dozen cookies baked at a bake shop on a in the Data Sufficiency forum
“ Given: Of the first three dozen (36) cookies baked at a bake shop on a certain day, 1/3 were chocolate chip cookies. 1/2 of the remaining cookies that were baked that day were chocolate chip cookies, 1/3 of 36 = 12. So, 12 chocolate cookies were baked in the first round of baking. Let x = ...”
November 10, 2018
Brent@GMATPrepNow posted a reply to There were 36,000 hardback copies of a certain novel sold in the Problem Solving forum
“From the time the first paperback copy was sold until the last copy of the novel was sold 9 times as many paperback copies as hardback copies were sold Let x = number of hardback copies sold during this time So 9x = number of paperback copies sold during this time So, x + 9x = total number of ...”
November 10, 2018
Brent@GMATPrepNow posted a reply to A box contains 10 balls numbered from 1 to 10 inclusive. If in the Problem Solving forum
“P(Ann and Jane remove same ball) = P(Ann removes ANY ball AND Jane''s ball matches Ann''s ball) = P(Ann removes ANY ball) x P(Jane''s ball matches Ann''s ball) = 1 x 1/10 = 1/10 Answer: D Aside: Once Jane removes her ball (and then replaces it), we have 10 balls, and 1 of them is the one ...”
November 10, 2018
Brent@GMATPrepNow posted a reply to If CD = 6, what is the length of BC? in the Data Sufficiency forum
“Is there an image? Cheers, Brent”
November 9, 2018
Brent@GMATPrepNow posted a reply to Andrew has a certain number of coins in his pocket. He has in the Problem Solving forum
“Let x = number of QUARTERS in pocket So, 0.25x = VALUE of quarters in pocket He has three times as many dimes as quarters So, 3x = number of DIMES in pocket So, 0.10(3x) = 0.3x = VALUE of dimes in pocket He has six times as many nickels as dimes. So, (6)(3x) = number of NICKELS in ...”
November 8, 2018
Brent@GMATPrepNow posted a reply to Challenge: Al, Bob, Cal and Don each own 1 hat. If the 4... in the Problem Solving forum
“I created this question to highlight many students'' tendency to avoid listing and counting as a possible approach. As you''ll see, the approach is probably the fastest approach. P(no one receives his own hat) = (# of outcomes in which no one receives his own hat)/(TOTAL number of outcomes) ...”
November 8, 2018
Jay@ManhattanReview posted a reply to A rectangle has sides x and y and diagonal z. What is the in the Data Sufficiency forum
“Needless to state that none of the statements alone can work; there are many possibilities when we consider that x, y, and z can be real numbers (not necessarily integers). (1) and (2) together You must remember a few Pythagorean triplets: {3, 4, 5}; {5, 12, 13}; {7, 24, 25}. We see that in ...”
November 8, 2018
Jay@ManhattanReview posted a reply to Is the three-digit number n less than 550? in the Data Sufficiency forum
“Given: n is a three-digit number. Question: Is n < 550? Let''s take each statement one by one. (1) The product of the digits in n is 30. 30 = 1*2*3*5 Case 1: Say n = 615. The answer is no. Case 2: Say n = 156. The answer is yes. No unique answer. Insufficient. (2) The sum of ...”
November 8, 2018
Jay@ManhattanReview posted a reply to The participants in a race consisted of 3 teams with 3 in the Data Sufficiency forum
“Given there are 6 teams with 3 3 runners on each team, we have 3*3 = 9 runners. Again given, the points awarded equal to 6 – n, where n = position of the runner in the race; and 1 ≤ n ≥ 5, only the first five positions will be awarded points. We know that all of the runners finished the ...”
November 8, 2018
ceilidh.erickson posted a reply to GMAT OG 2019 One proposal for preserving rain in the Reading Comprehension forum
“With EXCEPT questions, we must find proof in the passage to eliminate 4 of the 5 answer choices. A. adopt new agricultural technologies line 2: "promote the adoption of new agricultural technologies" B. grow improved plant varieties line 3: "such as improved plant ...”
November 7, 2018
ceilidh.erickson posted a reply to GMAT OG 2019 One proposal for preserving rain in the Reading Comprehension forum
“Here is what we''re told about land tenure: In other words, it''s a fact that kinship ties are more important indicator of land-tenure security than are legal property ties. Indicators aren''t necessarily always causal, but the researchers are clearly assuming that they are. And if this is ...”
November 7, 2018
ceilidh.erickson posted a reply to 12 year out of college, GMAT study plans? in the GMAT Strategy forum
“I''m sorry to hear that it didn''t go as well as you''d hoped. I want to address a few things you said: 1. Inconsistency. Your scores on both quant & verbal have bounced around a lot. Inconsistency in score usually indicates inconsistency in your process: you don''t really have a clear ...”
November 7, 2018
ceilidh.erickson posted a reply to Although they are crucially important, a person's total in the Sentence Correction forum
“This question is testing PRONOUNS, If a sentence begins with an opening modifier or dependent clause containing a pronoun (e.g. "Although they are..."), that pronoun must be referring to the SUBJECT of the main clause that comes after. So in the case of "Although they are..." ...”
November 7, 2018
ceilidh.erickson posted a reply to In California today, Hispanics under the age of eighteen in the Sentence Correction forum
“This question is primarily testing LOGICAL MEANING. Whenever language about percentages or proportions appears on SC or CR, we want to ask ourselves: "what is this the percent *of*? Is it logical and unambiguous?" (A) In California today, Hispanics under the age of eighteen account for ...”
November 7, 2018
Brent@GMATPrepNow posted a reply to There are 27 different three-digit integers that can be in the Problem Solving forum
“Yes, great work, Mitch! I thought I''d mention that, once we know the correct answer is a multiple of 222 (which is also a multiple of 3), then the correct answer will be a multiple of 3. Useful property: If a number is a multiple of 3, then the sum of its digits is also a multiple of 3. When we ...”
November 7, 2018
Brent@GMATPrepNow posted a new topic called Challenge: Al, Bob, Cal and Don each own 1 hat. If the 4... in the Problem Solving forum
“Al, Bob, Cal and Don each own 1 hat. If the 4 hats are randomly distributed so that each man receives exactly 1 hat, what is the probability that no one receives his own hat? A) 1/8 B) 1/4 C) 1/3 D) 3/8 E) 1/2 Answer: D Difficulty level: 650 – 700 Source: www.gmatprepnow.com”
November 7, 2018
Brent@GMATPrepNow posted a reply to If x, y and z are non-negative integers such that x < y & in the Problem Solving forum
“I created this question to show that there can be times when the best (i.e., fastest) way to solve a counting question is by listing and counting How do we know when it''s not a bad idea to use listing and counting? The answer choices will tell us (ALWAYS scan the answer choices before ...”
November 7, 2018
Brent@GMATPrepNow posted a reply to How many men are in a certain company's vanpool program? in the Data Sufficiency forum
“Target question: How many men are in a certain company''s vanpool program? Statement 1: The ratio of men to women in the program is 3 to 2. Let''s TEST some values. There are several scenarios that satisfy statement 1. Here are two: Case a: There are 3 men and 2 women in the program. In ...”
November 7, 2018
Brent@GMATPrepNow posted a reply to Speed Time Distance MGMAT in the Problem Solving forum
“GIVEN: When the men start walking, Brian has a 30-mile lead Let B = Brian''s walking speed (in miles per hour) Let A = Ashok''s walking speed (in miles per hour) Since Ashok''s speed is greater than Brian''s speed, the rate at which the gap shrinks = (A - B) miles per hour For example, if A ...”
November 6, 2018
Brent@GMATPrepNow posted a reply to 2019 GMAC Official Guide applicable for 60-Day Study Guide? in the The 60-Day GMAT Study Guide forum
“If you go here (https://www.gmatprepnow.com/content/improvement-chart) and download the Improvement Chart for the OG2016, you''ll see the question breakdown for each topic. This should help. Cheers, Brent”
November 6, 2018
Brent@GMATPrepNow posted a reply to In a certain game, a large bag is filled with blue, green, in the Problem Solving forum
“This question begs for some prime factorization. 88,000 = (2)(2)(2)(2)(2)(2)(5)(5)(5)(11) First, we can see that there must be one (11-point) red chip. Now, what role do these 2''s play? Since there are no 2''s hiding among the 5-point chips or the 11-point chips, the 2''s must be associated ...”
November 6, 2018
Brent@GMATPrepNow posted a reply to [x] is the greatest integer less than or equal x, what is th in the Problem Solving forum
“GIVEN: For example, [3.2] = 3, since 3 is the greatest integer that is less than (or equal) to 3.2 Likewise, [8.7] = 8, since 8 is the greatest integer that is less than (or equal to) 8.7 Now onto the question.... √25 = 5 √36 = 6 √49= 7 √64 = 8 Since √30 is BETWEEN √25 ...”
November 6, 2018
Brent@GMATPrepNow posted a reply to If in k+1 years from now John will be m years old, then how in the Problem Solving forum
“In k+1 years from now John will be m years old So, m - (k + 1) = John''s PRESENT age How old was John t-1 years ago? So, m - (k + 1) - (t - 1) = John''s age (t-1) YEARS AGO Simplify m - (k + 1) - (t - 1) to get: m - k - t Answer: A Cheers, Brent”
November 6, 2018
Brent@GMATPrepNow posted a reply to Pipe A runs 30 liters of water per minute into a pool that in the Problem Solving forum
“Let''s determine the COMBINED RATE of the two pipes Given: Pipe A''s RATE = 30 liters per minute This is equivalent to 1800 liters per HOUR Pipe B fills a third of the pool in 6 hours So, Pipe B fills the ENTIRE pool (3600 liters) in 18 hours Rate = Output/time = 3600/18 = 200 liters ...”
November 6, 2018
Jay@ManhattanReview posted a reply to x is a two-digit integer and y is a three-digit integer that in the Data Sufficiency forum
“Given: x is a two-digit integer and y is a three-digit integer that is divisible by x, and z is the value of the quotient y/x. Question: Is the units digit of z greater than 3? Let''s take each statement one by one. (1) The units digit of x is 3. We have no information about y. ...”
November 6, 2018
Jay@ManhattanReview posted a reply to A cirlce is drawn within the interior of a rectangle. Does in the Data Sufficiency forum
“Given: A circle is drawn within the interior of a rectangle. Question: Does the circle occupy more than one-half of the rectangle''s area? Let''s take each statement one by one. 1) The rectangle length is more than twice its width. Note that if the length and the width of the rectangle ...”
November 6, 2018
Jay@ManhattanReview posted a reply to Which data set has the greater standard deviation, data set in the Data Sufficiency forum
“Certainly, each statement is not sufficient since each statement gives information about only one dataset. Combining the two statements, we get Case 1: Say dataset K: {3, 3} and dataset L: {9, 18} Standard deviation of dataset K = 0 since each element is the same; however, standard ...”
November 6, 2018
Jay@ManhattanReview posted a reply to A certain salesman's yearly income is determined by a base in the Data Sufficiency forum
“Given: Income = Base salary + Commision Question: Was the salesman''s commission larger than his base salary last year? Let''s take each statement one by one. 1) If the amount of the commission had been 30 percent higher, the salesman''s total income (salary plus commission) would have been ...”
November 6, 2018
Jay@ManhattanReview posted a reply to Is z equal to the median of the three positive integers, x, in the Data Sufficiency forum
“Given: x, y, and z are positive integers. Question: Is z equal to the median of x, y, and z? Let''s take each statement one by one. (1) x < y + z Case 1: Say x = y = z = 2. Median = 2 = z. The answer is Yes, z is the median of x, y, and z. Case 2: Say x = 2, y = 1, and z = 3. Median ...”
November 6, 2018
Brent@GMATPrepNow posted a new topic called If x, y and z are non-negative integers such that x < y < z, in the Problem Solving forum
“If x, y and z are non-negative integers such that x < y < z, then the equation x + y + z = 11 has how many distinct solutions? A) 5 B) 10 C) 11 D) 22 E) 78 Answer: B Difficulty level: 600-650 Source: www.gmatprepnow.com”
November 5, 2018
Brent@GMATPrepNow posted a reply to Challenge question: Is |1 - 4k| < k? in the Data Sufficiency forum
“Target question: Is |1 - 4k| < k? Statement 1: k > 4x³ This pretty much tells is that k can have ANY value. For example, notice that, if x = -100, then 4x³ = -4,000,000 So, for this value of x, k can be any number greater than -4,000,000 Let''s TEST some values. There are ...”
November 5, 2018
Brent@GMATPrepNow posted a reply to Which sport utility vehicle has a higher list price, the in the Data Sufficiency forum
“Target question: Which sport utility vehicle has a higher list price, the Touristo of the Leisure? Statement 1: The list price of the Leisure is 5/6 the list price of the Touristo. If the Leisure''s price is 5/6 of the Touristo''s price, then the answer to the target question is the Touristo ...”
November 5, 2018
Brent@GMATPrepNow posted a reply to Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum
“Here''s our video on Range and Standard Deviation https://www.youtube.com/watch?v=FbAlIjw2fwY Cheers, Brent”
November 5, 2018
Jay@ManhattanReview posted a reply to If the sum of the three different numbers is 54, what is the in the Data Sufficiency forum
“Say the three different numbers are a, b and c such that a > b > c. Question: What''s the value of c? We have a + b + c = 54. Let''s take each statement one by one. 1) The largest number is twice the smallest number. => c = 2a Thus, a + b + c = 54 => a + b + 2a = 54 ...”
November 5, 2018
Jay@ManhattanReview posted a reply to Is the length of the diagonal of the rectangle bigger than in the Data Sufficiency forum
“Question: Is the length of the diagonal of the rectangle bigger than √6? Let''s take each statement one by one. 1) The shorter side of the rectangle is 2. Since the shorter side is 2, the longer side must be greater than 2. Assuming that both the sides are 2 each, thus, the length of ...”
November 5, 2018
Jay@ManhattanReview posted a reply to OG What is the value of integer n in the Data Sufficiency forum
“Question: What is the value of integer n? Let''s take each statement one by one. (1) n(n+1) = 6 n*(n+1) means that it is a product of two consecutive integers. One can quickly think of 2 and 3. So, n = 2. However, you must not consider that the two consecutive integers cannot be negatives. ...”
November 5, 2018
Jay@ManhattanReview posted a reply to If w, x, y and z are integers such that w/x and y/z are inte in the Data Sufficiency forum
“Given: w, x, y and z are integers such that w/x and y/z are integers. Question: Is (w/x + y/z) odd? Let''s take each statement one by one. (1) wx + yz is odd => Sum of two integers is odd. The sum of two integers can be odd if one of the integers is even and the other is odd. ...”
November 5, 2018
Brent@GMATPrepNow posted a reply to If xy=-18, is x less than y? in the Data Sufficiency forum
“ Given: xy = -18 Target question: is x less than y? Statement 1: x < 0 In other words, x is NEGATIVE So, our given information (xy = -18) becomes: (NEGATIVE)(y) = -18 In other words: (NEGATIVE)(y) = NEGATIVE This tells us that y is POSITIVE If y is POSITIVE, and x is NEGATIVE, the ...”
November 4, 2018
Jay@ManhattanReview posted a reply to Working alone, three persons P, Q, and R can do a certain in the Problem Solving forum
“Nice question The work will be completed in maximum time if only one among P, Q and R work; since R is the slowest, it is R who would complete the work in maximum time -- 15 hours. Now the computation of minimum time is tricky. The phrase, "at least 1 person must work" means that ...”
November 4, 2018
Brent@GMATPrepNow posted a reply to Challenge #2: If x and y are different positive integers, wh in the Problem Solving forum
“i) When x is divided by y, the remainder is 2x The remainder cannot be greater than the dividend (the number we''re dividing) For example, it CANNOT be the case that 17 divided by 5 leaves a remainder of 34 Statement i can never be true Check the answer choices. . . . ELIMINATE A and D ii) ...”
November 3, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: Is |1 - 4k| < k? in the Data Sufficiency forum
“Is |1 - 4k| < k? (1) k > 4x³ (2) k < 2x – x² - 2 Answer: B Difficulty level: 700+ Source: www.gmatprepnow.com”
November 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to A post on a website gains a point if a user choose to in the Problem Solving forum
“Hi All, We''re told that a post on a website gains a point if a user chooses to upvote it and loses a point if a user chooses to downvote it and that a particular post has a total of 60 points (with 40% of the votes being downvotes). We''re asked for the total number of votes that have been cast ...”
November 2, 2018
Rich.C@EMPOWERgmat.com posted a reply to The hexagonal face of the in the Problem Solving forum
“Hi All, We''re told that the hexagonal face of the block shown in the figure above has sides of equal length and angles of equal measure and each lateral face is rectangular. We''re asked for the area, in square inches, of one lateral face. This question is based on a Geometry pattern - and if ...”
November 2, 2018
Rich.C@EMPOWERgmat.com posted a reply to Cars J and K are making the trip from City A to City B. in the Problem Solving forum
“Hi All, We''re told that Cars J and K are making the trip from City A to City B. Car J departs from City A 15 minutes AFTER Car K does, both cars travel along the same route and Car K travels at a constant speed that is 80% the constant speed of Car J. We''re asked for the number of MINUTES that ...”
November 2, 2018
ceilidh.erickson posted a reply to GMAT Retake?? in the I just Beat The GMAT! forum
“Here is a post that sums up my advice about whether to retake the exam: https://www.beatthegmat.com/my-advice-to-a-student-w-a-740-wondering-whether-to-retake-t301310.html#810959 You''re only 1 point away from perfect on the quant. To get a 720+, you would have to improve your verbal score. If ...”
November 2, 2018
ceilidh.erickson posted a reply to The difference in average annual income in (OG18) help in the GMAT Verbal & Essays forum
“This type of logical flaw is very common on GMAT CR. I like to call it "Mixed Metrics" - conflating one mathematical concept (difference in incomes increased) with another (actual incomes increased). Any time you see one statistic / metric / mathematical concept swapped in for another, ask ...”
November 2, 2018
ceilidh.erickson posted a reply to The difference in average annual income in (OG18) help in the GMAT Verbal & Essays forum
“If we want to WEAKEN an argument, we must first find the logical flaws - the missing information - between the premises and the conclusion. Premises: The difference in average annual income in favor of employees who have college degrees, compared with those who do not have such degrees, doubled ...”
November 2, 2018
Brent@GMATPrepNow posted a reply to If the average (arithmetic mean) of p, q, and r is 6, what i in the Data Sufficiency forum
“ Given: The average (arithmetic mean) of p, q, and r is 6 We can write: (p + q + r)/3 = 6 This means: p + q + r = 18 Target question: What is the value of r? Statement 1: p = -r Given: p + q + r = 18 Replace p with -r to get: -r + q + r = 18 Simplify: q = 18 What about the value of ...”
November 2, 2018
Brent@GMATPrepNow posted a reply to Cars J and K are making the trip from City A to City B. in the Problem Solving forum
“Car K travels at a constant speed that is 80% the constant speed of Car J Let''s assign some nice values to the speeds. Let''s say Car J travels 40 miles per hour So, Car K travels 32 miles per hour Car J departs from City A 15 minutes after Car K does Let''s calculate the distance that Car ...”
November 2, 2018
Jay@ManhattanReview posted a reply to An auto dealer sells each car at either $20,000 or$30,000. in the Data Sufficiency forum
“The correct answer is E. Given in Statement 2, "30 cars were marked up 30%," we cannot assume thus, as per Statement 1, "20 cars were sold for $20,000," 20 cars (= 50 – 30) sold for$20,000 were marked up 20%. The 30 cars marked up 30% may or may not include some or all ...”
November 2, 2018
Jay@ManhattanReview posted a reply to Six numbers are randomly selected and placed within a set. in the Data Sufficiency forum
“Say the six numbers arranged in ascending order are x, y, z, p, q, and r Since range = 16 => r = x + 16 Since Median = average of two middle-most terms, we have median = 6 = (z + p)/2 Note that z and p both cannot be 6 since if they each are 6, even if q and r are 7 each, we can''t have a ...”
November 2, 2018
Jay@ManhattanReview posted a reply to A post on a website gains a point if a user choose to in the Problem Solving forum
“Say the number of votes cast = x Thus, the number of upvotes cast = 60% of x = 0.6x; and the number of downvotes cast = 40% of x = 0.4x; total point = 0.6x –0.4x = 0.2x => 0.2x = 40 => x = 300 The correct answer: D Hope this helps! -Jay _________________ Manhattan ...”
November 2, 2018
Jay@ManhattanReview posted a reply to Barry walks from one end to the other of a 30-meter long in the Problem Solving forum
“Say the speed of Barry is x meters/second and the speed of the walkway is y meters/seconds When moving along the walkway, the speed of Barry = (x + y) m/s => Length of the walkways (distance traveled) by Barry = (x + y)*30 meters When moving in the opposite direction of the walkway, the ...”
November 2, 2018
ceilidh.erickson posted a reply to What is the area of the trapezoid shown? in the Data Sufficiency forum
“Poster, can you clarify where you found this? I don''t recognize this problem, and I can''t find it in any of our materials. I think it''s unlikely that this is actually a Manhattan Prep question.”
November 1, 2018
ceilidh.erickson posted a reply to A market research company surveyed users of the toothpaste in the Data Sufficiency forum
“We''re given that everyone in the survey used at least one of Brand X and Brand Y. We can think of this as: (Brand X users) + (Brand Y users) - (people who used both) = Total or, since we''re asked for a percentage: X + Y - B = 100 If we want to know the percentage who used Brand Y, we''ll ...”
November 1, 2018
ceilidh.erickson posted a reply to Lyme disease is caused by a bacterium transmitted to humans in the Critical Reasoning forum
“Whenever you''re asked to STRENGTHEN or WEAKEN an argument, it''s implied that there is a logical flaw - a missing piece - in the argument. Break down the argument carefully and identify what''s missing before diving into the answer choices. Premises: - deer ticks pick up Lyme bacterium while ...”
November 1, 2018
Brent@GMATPrepNow posted a reply to At a family summer party, each of the x members of the in the Problem Solving forum
“Let''s use the INPUT-OUTPUT approach. It might be useful to choose a number that works well with the fractions given in the question (1/3 and 1/7). So, let''s say there are 21 family members at the party. In other words, we''re saying that x = 21 1/3 chose to have a hamburger, and of ...”
November 1, 2018
Brent@GMATPrepNow posted a reply to When a positive integer n is divided by 19, what is the rema in the Data Sufficiency forum
“Target question: When n is divided by 19, what is the remainder? Statement 1: n-17 is a multiple of 19 ----ASIDE------------------------------------------- If N is a multiple of d, then we can write N = dk (for some integer k) For example, if N is a multiple of 5, then we can write N = 5k ...”
November 1, 2018
Brent@GMATPrepNow posted a reply to In the diagram above, points A, B, C, D, and E represent the in the Problem Solving forum
“points A, B, C, D, and E represent the five teams in a certain league in which each team must play each of the other teams exactly once. Let''s first determine the total number of games that will be played. There are 5 teams, so each team will play 4 games (since a team can''t play itself) So, ...”
November 1, 2018
Jay@ManhattanReview posted a reply to Is triangle ABC an acute angled triangle? 1) [m]c^2 < a^ in the Data Sufficiency forum
“Let''s take each statement one by one. 1) c^2 < a^2 + b^2, where a, b and c are sides of triangle ABC. => /_ACB < 90º and if /_ABC < 90º and /_BAC < 90º, the answer is Yes. However, if a^2 ≥ c^2 + b^2, we have /_BAC ≥ 90º, the answer is No. No unique answer. ...”
November 1, 2018
Jay@ManhattanReview posted a reply to Two teachers, Ms. Ames and Mr. Betancourt, each had N in the Data Sufficiency forum
“As per the information, we have N is a multiple of 24 and 18. Say, N/24 = p, where p is a positive integer; => N = 24p N/18 = p, where q is a positive integer; => N = 18q => 24p = 18q 4p = 3q => p = 3q/4 => q must be a multiple of 4 q: {4, 8, 12, 16, 20, ...} ...”
November 1, 2018
Jay@ManhattanReview posted a reply to A number of eggs dyed various colors were hidden for an egg in the Data Sufficiency forum
“Given: A number of eggs dyed various colors were hidden for an egg hunt. Question: How many eggs in total were hidden? Let''s take each statement one by one. 1) The number of red eggs hidden is the square of an integer, while the total number of eggs hidden is 24 times that integer. Say ...”
November 1, 2018
ceilidh.erickson posted a reply to In countries where automobile insurance includes in the Critical Reasoning forum
“By the way, it''s interesting to note that the GMAT will sometimes use the same argument but ask different questions about it. Here is the same argument from the OG, but with different portions bolded: ...”
October 31, 2018
ceilidh.erickson posted a reply to In countries where automobile insurance includes 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 ...”
October 31, 2018
Brent@GMATPrepNow posted a reply to In four years, Andy will be twice as old as Betsy. How old in the Data Sufficiency forum
“ Given: In four years, Andy will be twice as old as Betsy. Let A = Andy''s PRESENT age Let B = Betsy''s PRESENT age So, A+4 = Andy''s age IN 4 YEARS And so, B+4 = Betsy''s age IN 4 YEARS If Andy will be twice as old as Betsy IN 4 YEARS, we can write: A+4 = 2(B+4) Expand: A + 4 = 2B + 8 ...”
October 31, 2018
Brent@GMATPrepNow posted a reply to If m and n are integers, is m+m^2-n an even number? in the Data Sufficiency forum
“ Given: m and n are integers Target question: Is m + m² - n an even number? This is a good candidate for rephrasing the target question Aside: Here’s a video with tips on rephrasing the target question: We can take the expression, m + m² - n and rewrite it as m(1 + m) - n Now notice ...”
October 31, 2018
Brent@GMATPrepNow posted a reply to In 1995 a certain store had 1,800 tools in stock that had in the Problem Solving forum
“1,000 of these tools were sold in 1995 for $40 each So, the REVENUE = (1000)($40) = $40,000 The 1000 tools were purchased for$30 each. So, the EXPENSE = (1000)($30) =$30,000 PROFIT for 1995 = $40,000 -$30,000 = $10,000 ----------------------------------------------- The remaining 800 ...” October 31, 2018 Jay@ManhattanReview posted a reply to A game at the state fair has a circular target with a radius in the Problem Solving forum “Area of the circle = πr^2 = π*10^2 = 100π cm^2 Area of the square = 30*30 = 900 cm^2 Probability of hitting ONE dart within the circle = (Area of the circle) / (Area of the square) = 100π / 900 = π/9 Probability of hitting both the darts within the circle = π/9* π/9 = π^2/81 The ...” October 31, 2018 Jay@ManhattanReview posted a reply to A football team averaged 35 points per game over the first in the Problem Solving forum “Say the team played n games before the final game. Total points scored in n games = 35n Total points scored in (n + 1) games, incl. final game = 35n + 28 => Average score of (n + 1 ) games = (35n + 28) / (n + 1) (35n + 28) / (n + 1) = 34 (given) => n = 6 => n + 1 = 7. The ...” October 31, 2018 Jay@ManhattanReview posted a reply to If p is a positive integer, is 2p + 1 prime? in the Data Sufficiency forum “Given: p is a positive integer. Question: Is 2p + 1 prime? Let''s take each statement one by one. (1) p is prime. Case 1: Say p = 2, then 2P +1 = 5, a prime. The answer is Yes. Case 2: Say p = 7, then 2P +1 = 15, not a prime. The answer is No. No unique answer. Insufficient. (2) ...” October 31, 2018 Jay@ManhattanReview posted a reply to S is a set of n consecutive positive integers. Is the mean in the Data Sufficiency forum “Say the set of set of n consecutive positive integers is {x, (x + 1), (x + 2), (x + 3), ...} Case 1: If n is odd, then the set is, say, {x, (x + 1), (x + 2)}. Mean = x + 1 = a positive integer. Case 2: If n is even, then the set is, say, {x, (x + 1), (x + 2), (x + 3)}. Mean = D Hope this ...” October 31, 2018 Brent@GMATPrepNow posted a reply to Tom, Bill, Robert, Roger, and Terry are standing in a row in the Problem Solving forum “One approach is to ignore the rule and determine the total number of ways to arrange all 5 people, and then subtract the number of arrangements that BREAK the rule. I''m sure someone will post that kind of solution shortly. Here''s another approach: Take the task of arranging the 5 men and ...” October 30, 2018 Brent@GMATPrepNow posted a new topic called Challenge #2: If x and y are different positive integers, wh in the Problem Solving forum “If x and y are different positive integers, which of the following COULD be true: i) When x is divided by y, the remainder is 2x ii) When x is divided by 2y, the remainder is y iii) When (2x + y) is divided by (x + y), the remainder is y A) i only B) ii only C) iii only D) i & ii ...” October 30, 2018 Brent@GMATPrepNow posted a reply to Challenge: If x and y are different positive integers, which in the Problem Solving forum “i) When x is divided by y, the remainder is x This occurs any time x < y For example, if x = 5 and y = 7, then statement i becomes: When 5 is divided by 7, the remainder is 5 So true! Scan the answer choices....eliminate D ----------------------------------------------------- ii) When 2x ...” October 30, 2018 Brent@GMATPrepNow posted a reply to Carmelo and LeBron participate in a seven-person footrace on in the Problem Solving forum “Here are three similar questions to practice with: - http://www.beatthegmat.com/counting-six-mobsters-t47167.html - http://www.beatthegmat.com/permutation-and-combination-t273916.html - http://www.beatthegmat.com/permutations-with-waiting-line-t274020.html Cheers, Brent” October 30, 2018 Brent@GMATPrepNow posted a reply to A certain basket contains 10 apples, 7 of which are red and in the Problem Solving forum “Jay has demonstrated a solution that involves counting techniques. Here''s one that involves probability rules. Let''s find the probability of selecting a red apple 1st, a red apple 2nd, and a green apple 3rd (aka RRG) P(red apple 1st AND red apple 2nd AND green apple 3rd) = P(red apple 1st) x ...” October 30, 2018 Brent@GMATPrepNow posted a reply to A salesperson for an automobile dealer earns an annual in the Problem Solving forum “Total earnings = (base salary) + (commission) base salary =$25,000 commission = 10% of total sales OVER $100,000 = 10% of (x -$100,000) = 0.1(x - $100,000) So, total earnings =$25,000 + 0.1(x - $100,000) Answer: E Cheers, Brent” October 30, 2018 Brent@GMATPrepNow posted a reply to There are 16 teams in a soccer league, and team plays each in the Problem Solving forum “Another approach: The question is really asking, "In how many different ways can we create 2-team pairings from 16 teams?" Since the order of the selections does not matter (i.e., selecting teams A and B to play, is the same as selecting teams B and A to play), we can use combinations. ...” October 30, 2018 Brent@GMATPrepNow posted a reply to There are 16 teams in a soccer league, and team plays each in the Problem Solving forum “There are 16 teams. If we ask each team, "How many teams did you play?" we''ll find that each team played 15 teams, which gives us a total of 240 games (since 16 x 15 = 240). From here we need to recognize that each game has been COUNTED TWICE. For example, if Team A and Team B play ...” October 30, 2018 Jay@ManhattanReview posted a reply to Two pieces of fruit are selected out of a group of 8 pieces in the Data Sufficiency forum “We have 8 pieces of fruit consisting only of apples and bananas. Say there are x numbers of apples; thus, there are (8 – x) numbers of bananas. Probability of selecting exactly 2 bananas = (8 – x)C2 / 8C2 = (8 – x)*(7 – x) / (8*7) Question rephrased: What''s the value of x? ...” October 30, 2018 October 30, 2018 Jay@ManhattanReview posted a reply to The average weight of a class is x pounds. When a new in the Problem Solving forum “Say there are n students in the class. Thus, the weight of n students = nx With the inclusion of new students, the weight of (n + 1) students = nx + 80 Average weight of (n + 1) students = (nx + 80) / (n + 1) => (nx + 80) / (n + 1) = n – 1 (given) => x – n = 81 ---(1) After ...” October 30, 2018 Jay@ManhattanReview posted a reply to A certain basket contains 10 apples, 7 of which are red and in the Problem Solving forum “We have 7 red and 3 green apples Probability that out of those 3, 2 will be red and 1 will be green = / (10C3) = D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review India | Hyderabad GMAT Prep | Bangalore GMAT Courses | Kukatpally GMAT Prep ...” October 30, 2018 Jay@ManhattanReview posted a reply to A certain lighthouse is a tall thin cylinder of brick, with in the Data Sufficiency forum “Area of the brick siding of the lighthouse = πr^2h; where r = radius of the lighthouse and h = its height Let''s take each statement one by one. 1) The outer diameter of the brick portion of the lighthouse is 28 feet. => r = 28/2 = 14 feet. But we do not have h. Insufficient. 2) ...” October 30, 2018 Jay@ManhattanReview posted a reply to Machines X and Y can work at their respective constant rates in the Data Sufficiency forum “Say the rate of Machine X is x hours per unit and that of Machine Y is y hours per unit. Let''s take each statement one by one. (1) Machines X and Y, working together, complete a production order of the same size in two-thirds the time that machine Y, working alone, does. Part of work done ...” October 30, 2018 Rich.C@EMPOWERgmat.com posted a reply to The figure above represents a rectangular garden bordered by in the Data Sufficiency forum “Hi All, We''re told that the figure above represents a rectangular garden bordered by a walkway that has a uniform width of 3 feet. We''re asked for the PERIMETER of the garden. This question can be solved with a mix of Arithmetic and TESTing VALUES. 1) The outer perimeter of the walkway is ...” October 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to Economist Gmat Tutor review in the The GMAT Avengers Study Group forum “Hi saurabh_sha, From your post, it sounds like you''re just starting out. Is that true? Have you done any studying for the GMAT so far? If you have, then what materials have you used and how have you scored on your practice CATs/mocks? If you''re just beginning, then it would be a good idea to ...” October 29, 2018 Brent@GMATPrepNow posted a reply to For integers a, b, c, a/(b - c)=1 what is the value of (b-c) in the Data Sufficiency forum “ Given: a/(b - c) = 1 Target question: What is the value of (b-c)/b ? This is a good candidate for rephrasing the target question. Aside: Here’s a video with tips on rephrasing the target question: If a/(b - c) = 1, then we know that a = b - c The target question asks "What is the ...” October 29, 2018 Brent@GMATPrepNow posted a reply to If a and b are integers such that a > b > 1, which of in the Problem Solving forum “Let''s make an important observation. Some positive multiples of 3 are: 3, 6, 9, 12, . . . . Some positive multiples of 5 are: 5, 10, 15, 20, . . . . Some positive multiples of 12 are: 12, 24, 36, 48, . . . . General observation: the positive multiples of k are all greater than or equal to k ...” October 29, 2018 Brent@GMATPrepNow posted a new topic called Challenge: If x and y are different positive integers, which in the Problem Solving forum “If x and y are different positive integers, which of the following COULD be true: i) When x is divided by y, the remainder is x ii) When 2x is divided by y, the remainder is x iii) When x+y is divided by x , the remainder is x-y A) i only B) i & ii only C) i & iii only D) ii & ...” October 29, 2018 Brent@GMATPrepNow posted a reply to What is the value of x? in the Data Sufficiency forum “Target question: What is the value of x? Statement 1: (x + 2)(x + 3) = 0 This means that EITHER x = -2 OR x = -3 Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2: x² + 5x + 6 = 0 Factor the left side of the equation to get: (x + 2)(x ...” October 29, 2018 Jay@ManhattanReview posted a reply to If the average (arithmetic mean) of 5 numbers is 20, what is in the Data Sufficiency forum “Note that the average (arithmetic mean) of a set of numbers can neither be greater than the maximum number of the set nor be less than the minimum number of the set. Per Statement 1, we know that the minimum number among 5 is 20 and the average is also 20, it implies that all the five numbers ...” October 29, 2018 Jay@ManhattanReview posted a reply to N is a two-digit number, whose tens digit is 9. If the units in the Data Sufficiency forum “Say N = 9X, where X is the unit digit of N. Given: 1. Units digit of N^p is 6 and 2. Units digit of N^q is 4 Note that unit digits of N^p and N^q will be determined by the units'' digit of N, i.e the value of X. Since the unit digits of N^p and N^q are 6 and 4 (EVEN), X must be ...” October 29, 2018 Jay@ManhattanReview posted a reply to A length of rope is cut into three different lengths. What in the Data Sufficiency forum “Say the lengths of the three cut ropes are a, b, and c such that a > b > c. From (1), we have a + b = 6 and from (2), we have b + c = 3. We cannot find out the unique values of a, b or c. However, we can derive the following information about their lengths. 1. Since b + c = 3, we ...” October 29, 2018 Jay@ManhattanReview posted a reply to If p is a positive integer and p2 has total 17 positive in the Problem Solving forum “Let us first understand how to find out the number of factors of a number, say N. Say N = a^x*b^y*c^z...; where a, b and c are prime numbers and x, y and z are positive integers Note that the # of factors includes 1 and N, too. So, the # of factors of N = (x + 1)*(y + 1)*(z + 1)... ...” October 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to If a certain wheel turns at a constant rate of x revolutions in the Problem Solving forum “Hi All, We''re told that a certain wheel turns at a constant rate of X revolutions per MINUTE. We''re asked for the number of revolutions that the wheel will make in K SECONDS. This question can be solved in a number of different ways, including by TESTing VALUES. IF.... X=2 and K=60... The ...” October 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to Jonah drove the first half of a 100-mile trip in x hours and in the Problem Solving forum “Hi All, We''re told that Jonah drove the first half of a 100-mile trip in X hours and the second half in Y hours. We''re asked which of the following is equal to Jonah’s average speed, in miles per hour, for the entire trip. This question can be solved in a couple of different ways, including ...” October 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to If a and b are integers such that a > b > 1, which of in the Problem Solving forum “Hi All, We''re told that A and B are integers such that A > B > 1. We''re asked which of the following CANNOT be a multiple of either A or B. This question can be solved with some basic concept knowledge of the rules behind ''multiples.'' With the exception of "0", multiples ...” October 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to Both car A and car B set out from their original locations in the Problem Solving forum “Hi All, We''re told that both car A and car B set out from their original locations at exactly the SAME time and on exactly the SAME route. Car A drives from Morse to Houston at an average speed of 65 miles per hour and Car B drives from Houston to Morse at 50 miles per hour, and then ...” October 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to The average age of a group of n people is 15 yrs. One more in the Problem Solving forum “Hi All, We''re told that the average age of a group of N people is 15 yrs and when one more person aged 39 joins the group, the new average is 17 yrs. We''re asked for the value of N. This question can be solved in a number of different ways, including with a bit of ''number logic'' and a little ...” October 29, 2018 Brent@GMATPrepNow posted a reply to A length of rope is cut into three different lengths. What in the Data Sufficiency forum “Target question: What is the length of the shortest rope? Let''s assign some variables. Let x = length of shortest rope Let y = length of middle rope Let z = length of longest rope Statement 1: The combined length of the longest two pieces is 6 feet. In other words, y + z = 6 Since we ...” October 28, 2018 Brent@GMATPrepNow posted a reply to Challenge question: At noon, Joe and a hummingbird leave in the Problem Solving forum “The main idea here is that all 3 travelers travel for the SAME amount of time. So, let''s first determine the time it takes for Joe and Sue to meet. This is a shrinking gap question. To determine the rate at which the gap shrinks, we''ll ADD the travel speeds of Joe and Sue That is, ...” October 28, 2018 Brent@GMATPrepNow posted a reply to If x and y are positive, what is the value of y ? in the Data Sufficiency forum “Target question: What is the value of y? Given: x and y are positive Statement 1: xy is the square of an integer. There are several values of x and y that satisfy this condition. Here are two: Case a: x = 1 and y = 1. Here xy = (1)(1) = 1, which is the square of an integer. In this ...” October 28, 2018 Brent@GMATPrepNow posted a new topic called Challenge question: At noon, Joe and a hummingbird leave in the Problem Solving forum “At noon, Joe and a hummingbird leave point A and travel towards point B, which is 12 miles away. At the same time Sue leaves point B and travels toward point A. Joe, Sue and the hummingbird travel at constant speeds of 3 miles per hour, 4 miles per hour, and 84 miles per hour respectively. When the ...” October 27, 2018 Brent@GMATPrepNow posted a reply to There are n students in a class. Of them, k boys and k girls in the Data Sufficiency forum “Target question: What is the probability that Harvey will be paired with Jessica? Given: There are n students in a class. Of them, k boys and k girls (including Harvey and Jessica) are selected for a dance performance in which students will dance in pairs of one boy and one girl. ...” October 27, 2018 Brent@GMATPrepNow posted a reply to When the positive integer n is divided by 25, the remainder in the Data Sufficiency forum “Target question: What is the value of n? Given: When the positive integer n is divided by 25, the remainder is 13. -------ASIDE------------- When it comes to remainders, we have a nice rule that says: If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, ...” October 27, 2018 Brent@GMATPrepNow posted a reply to A circus clown is entertaining kids by making balloon in the Problem Solving forum “As with many probability questions, we can solve this by using counting techniques or rules of probability. Let''s use rules of probability P(balloon animal is an elephant) = 1/4 P(balloon animal is purple) = 1/5 P(clown makes a purple elephant balloon animal) = P(balloon animal is ...” October 27, 2018 Brent@GMATPrepNow posted a reply to In a right triangle, the longer leg is two more than three in the Problem Solving forum “In a right triangle, the longest side is called the hypotenuse, and the two sides that meet to create a 90-degree angle are called the legs. So, one leg will be the triangle''s base, and the other leg will be the triangle''s height. Let x = length of the triangle''s base (which, for this ...” October 27, 2018 Jay@ManhattanReview posted a reply to A framed picture is shown above. The frame, shown shaded, is in the Data Sufficiency forum “Say the uniform width of the frame = a inches and the height of the frame = X inches Dimensions of the picture: Width = 6 – 2a and Height = X – 2a We have to get the values of (6 – 2a) and (X – 2a). Question rephrased: What''s the value of a and X? Let''s take each statement one ...” October 27, 2018 Jay@ManhattanReview posted a reply to There are n students in a class. Of them, k boys and k girls in the Data Sufficiency forum “The probability that Harvey will be paired with Jessica = 1/k; note that we do not need the value of n. Also, note that ≠ (1/k)*(1/k) = 1/k^2 Let''s look at this way: There are k girls who can be paired with Harvey (= k number of ways), out of which only one way (pairing with Jessica) is the ...” October 27, 2018 Jay@ManhattanReview posted a reply to Rose grows two kinds of orchid plants, Phalaenopsises and in the Data Sufficiency forum “Pl. refer to this image. https://i.postimg.cc/vx8fWhtb/Roes.png The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Hyderabad | Kukatpally | Bangalore | Anna Nagar | and many more... Schedule your free consultation with an ...” October 27, 2018 Brent@GMATPrepNow posted a reply to If a and b are two positive numbers, what is the product of in the Data Sufficiency forum “Target question: What is the value of ab? Statement 1: The LCM of a and b is 16 Let''s TEST some values. There are several values of a and b that satisfy statement 1. Here are two: Case a: a = 1 and b = 16 (the LCM of 1 and 16 is 16). In this case, the answer to the target question is ab = ...” October 26, 2018 Brent@GMATPrepNow posted a reply to In the mid-1960's a newly installed radar warning system in the Sentence Correction forum “The idiom here is "Mistake x FOR y" So, we can eliminate A, C and E We''re left with B and D D conveys an ambiguous message, because it suggests that the moon was rising for an attack. ELIMINATE D Answer: B Cheers, Brent” October 26, 2018 Brent@GMATPrepNow posted a reply to What is the largest prime factor of the expression 3^8 − 2 in the Problem Solving forum “There''s a difference of squares "hiding" in the expression 3^8 − 2^12 That is 3^8 − 2^12 = (3^4)² − (2^6)² We know that: x² - y² = (x + y)(x - y) So, we get: (3^4)² − (2^6)² = (3^4 + 2^6)(3^4 - 2^6) = (81 + 64)(81 - 64) = (145)(17) = (5)(29)(17) The greatest ...” October 26, 2018 Brent@GMATPrepNow posted a reply to When Q is divided by W, the quotient is R and the remainder in the Problem Solving forum “-----ASIDE----------------------- There''s a nice rule that says, "If N divided by D equals Q with remainder R, then N = DQ + R" For example, since 17 divided by 5 equals 3 with remainder 2, then we can write 17 = (5)(3) + 2 Likewise, since 53 divided by 10 equals 5 with remainder 3, ...” October 26, 2018 Jay@ManhattanReview posted a reply to Ian has three pets: Barnum the cat, Bailey the cat, and in the Data Sufficiency forum “To solve this question, it is important to assume that the ages are integers, else the answer is E. Since OA is A, the question-writer''s intent is that the ages are integers. Given: x*361 = 361,361 => x = 1001 = 1*1*1001 = 7*11*13 Since each pet is older than 1 year, x ≠ 1*1*1001. ...” October 26, 2018 Jay@ManhattanReview posted a reply to During a week-long sale at a car dealership, the most number in the Data Sufficiency forum “Given: Out of 7 days in the week, at least 2 cars sold per day and at the most 12 cars sold per day. Question: Was the average daily number of cars sold during that week more than 6? Let''s take each statement one by one. 1. During that week, the second smallest number of cars sold on any ...” October 26, 2018 Jay@ManhattanReview posted a reply to If a and b are two positive numbers, what is the product of in the Data Sufficiency forum “Note that the product of two numbers equals the product of their LCM and GCD. Thus, we need both the statements. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Hyderabad | Kukatpally | Bangalore | Anna Nagar | and many more... ...” October 26, 2018 Jay@ManhattanReview posted a reply to Jazz and blues recordings accounted for 6 percent of the in the Data Sufficiency forum “Revenue from the sales of jazz and blues recordings in 2000 = 6% of 840 = X; there is no need to calculate the value as of now. However, don''t assume that X is a variable, it as a constant. We have to the revenue from the sales of jazz and blues recordings in 1998. Let''s take each statement ...” October 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to Cars J and K are making the trip from City A to City B. Car in the Problem Solving forum “Hi All, We''re told that Cars J and K are making the trip from City A to City B. Car J departs from City A 15 minutes AFTER Car K does, both cars travel along the same route and Car K travels at a constant speed that is 80% the constant speed of Car J. We''re asked for the number of MINUTES that ...” October 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to Carmelo and LeBron participate in a seven-person footrace on in the Problem Solving forum “Hi All, We''re told that Carmelo and LeBron participate in a seven-person footrace on the basketball court during All-Star Weekend, all seven contestants finish and there are no ties. We''re asked for the number of different arrangements in which Carmelo defeats LeBron. This question is a ...” October 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to What is the largest prime factor of the expression 3^8 − 2 in the Problem Solving forum “Hi All, We''re asked to find the LARGEST prime factor of the expression 3^8 - 2^12. Certain Quant questions ultimately come down to ''rewriting'' information that you''ve been given. By rewriting 3^8 and 2^12 as "squared" terms, we''ll have a ''difference of squares'', which is a ...” October 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMAT Retake?? in the I just Beat The GMAT! forum “Hi GMAT_quest92, To start, a 710/Q50 is an outstanding score (it''s right around the 90th percentile overall), so you can comfortably apply to any Business Schools that interest you. Your question - in the broader sense - is about AFTER Business School though - so you might not find the exact ...” October 26, 2018 Brent@GMATPrepNow posted a reply to Tricky: If AB || DE, and AB = 10, what is the length of DE? in the Data Sufficiency forum “Let''s first add the given information (and their implications) to the diagram If AB || DE, we know that ∠BAC = ∠CED and ∠ABC = ∠DCE Also, since vertically opposite angles are equal, we know that ∠ACB = ∠DCE https://i.imgur.com/fgDp7Yh.png Now that we''ve identified 3 pairs of ...” October 26, 2018 Jay@ManhattanReview posted a reply to When 900 is divided by positive integer d, the remainder is in the Data Sufficiency forum “Let''s take each statement one by one. (1) r = 1 Given that when 900 is divided by positive integer d, the remainder is r = 1, we can conclude that (900 – 1) = 899 is a factor of d. Since we do not know anything about D and R, we cannot decide. Insufficient. (2) D = 23 => R < D ...” October 25, 2018 Brent@GMATPrepNow posted a new topic called Tricky: If AB || DE, and AB = 10, what is the length of DE? in the Data Sufficiency forum “https://i.imgur.com/jyTAK6n.png If AB || DE, and AB = 10, what is the length of DE? (1) BC = 6 and CE = 4 (2) DC = 3 and CB = 6 Answer: B Difficulty level: 650 – 700 Source: www.gmatprepnow.com” October 25, 2018 Brent@GMATPrepNow posted a reply to If |x-6|=2x, then x=? in the Problem Solving forum “There are 3 steps to solving equations involving ABSOLUTE VALUE: 1. Apply the rule that says: If |x| = k, then x = k or x = -k 2. Solve the resulting equations 3. Plug solutions into original equation to check for extraneous roots Step 1: x - 6 = 2x or x - 6 = -2x case a: x - 6 = 2x Step ...” October 25, 2018 Jay@ManhattanReview posted a reply to At a certain company, some of the employees have advanced in the Data Sufficiency forum “Let''s assume the following. D = Percentage of people with advanced degrees and less than one year of experience. E = Percentage of people with no advanced degrees and with one year or more of work experience = 20%. B = Percentage of people with advanced degrees and with one year or more of ...” October 25, 2018 Jay@ManhattanReview posted a reply to Tom drives from town A to town B, driving at a constant in the Problem Solving forum “The situation is depicted below. A -------------------60 mph / 2D miles -----------------------B-----------x mph / D miles------------C Say the distance of BC = x miles, thus, the distance AB = 2x miles. Say the speed between BC is x miles. • Time taken to travel AC = 3D/36 = D/12 hours; ...” October 25, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMAT with NO background in the GMAT Strategy forum “Hi Rex, Studying for (and taking) the GMAT in the near-term - years before you might actually need it - is a really smart move. By focusing on the GMAT now, you can avoid the external pressure of a looming deadline and give yourself plenty of time to learn the content, patterns and little ...” October 25, 2018 Rich.C@EMPOWERgmat.com posted a reply to Where is the registration offer?? in the Suggestions and Feedback forum “Hi gmat800live, The current free Account that we offer through BeatTheGMAT is not for the full Course - it''s for some specific resources within the Course (including the Grammar Master Course). You can access the entire EMPOWERgmat Course for free through the free trial on our website though. ...” October 25, 2018 Brent@GMATPrepNow posted a reply to CHALLENGE: 10 teams (A, B, C, D, E, F, G, H, I and J) partic in the Problem Solving forum “First determine the TOTAL number of games played. We can select 2 teams from 10 teams in 10C2 ways (= 45 ways) So, there will be 45 games in TOTAL IMPORTANT: Each team plays 9 games For each game, 2 points are awarded. So, the TOTAL number of POINTS awarded = (2)(45) = 90 Teams A, B, C, ...” October 24, 2018 Brent@GMATPrepNow posted a reply to Noelle walks from point A to point B at an average speed of in the Problem Solving forum “For these kinds of questions, I typically follow the approach that Fabio used (assign a nice value to the distance). But we can also solve the question algebraically: Let d = the distance between Points A and B. Let x = the Noelle''s speed from Point B to Point A. We want the average ...” October 24, 2018 Brent@GMATPrepNow posted a reply to What is the median number of employees assigned per project in the Data Sufficiency forum “Target question: What is the median number of employees assigned per project? Statement 1: 25 percent of the projects at Company Z have 4 or more employees assigned to each project. Let''s pretend that there are 4 projects altogether. There are several sets of values that meet this condition. ...” October 24, 2018 Jay@ManhattanReview posted a reply to The table above shows the morning schedule for train X. in the Data Sufficiency forum “From the given data about Train X, we know that Train X takes 8:10 – 7:08 = 1 hour and 2 minutes to reach Station T. Question: Did Juan arrive at station T on schedule? Question rephrased: Did Train X arrived at Station T at 8:10? Let''s take each statement one by one. 1. Juan arrived ...” October 24, 2018 Jay@ManhattanReview posted a reply to In the coordinate geometry plane, region P is defined by all in the Data Sufficiency forum “To test whether the point (a, b) lie within region P, we can plug in few test values of a and b in 3y + 12 > 2x. If we consistently find the inequality 3y + 12 > 2x is true or false but not sometimes true and sometime false, we get the answer. Let''s take each statement one by one. 1) 4b ...” October 24, 2018 Jay@ManhattanReview posted a reply to What is the median number of employees assigned per project in the Data Sufficiency forum “Say there are 20 employees. I assumed 20 instead of more intuitive 10 since 25% and 35% of 10 are not integers. We know that of a set, the median is the value of the middle-most number when the numbers in the set are arranged in an ascending or descending order. Say the number of employees ...” October 24, 2018 Rich.C@EMPOWERgmat.com posted a reply to In a certain company, the ratio of the number of manager to in the Problem Solving forum “Hi swerve, We''re told that the ratio of the number of manager to the number of production-line workers is 5 to 72 - and IF 8 additional production-line workers were to be hired, then the ratio of the number of managers to the number of production-line workers would be 5 to 74. We''re asked for ...” October 23, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMAT with NO background in the GMAT Strategy forum “Hi Rex, Since it sounds like you''re just beginning your studies, then it would be a good idea to take a FULL-LENGTH practice CAT Test; you can take 2 for free at www.mba.com (and they come with some additional practice materials). If you want to do a little studying first, so that you can ...” October 23, 2018 Rich.C@EMPOWERgmat.com posted a reply to Which CATs should I buy? MGMAT/Kaplan/Veritas....etc in the GMAT Strategy forum “Hi omkarnikte, The scoring algorithm on the Official GMAT is far more complicated than most people realize. Since that algorithm is proprietary, no GMAT company has an exact match for it, thus CAT scores can vary a bit based on the ''biases'' involved in their respective designs. The most ...” October 23, 2018 Brent@GMATPrepNow posted a reply to In a certain company, the ratio of the number of manager to in the Problem Solving forum “One option is to use TWO VARIABLES Let M = CURRENT # of managers Let W = CURRENT # of production-line workers The ratio of the number of managers to the number of production-line workers is 5 to 72. So, we can write: M/W = 5/72 Cross multiply to get: 5W = 72M If 8 additional ...” October 23, 2018 Brent@GMATPrepNow posted a reply to When 100 is divided by positive integer x, the remainder is in the Problem Solving forum “A fast approach is to find a value of x that meets the given condition: When 100 is divided by positive integer x, the remainder is 2 Well, x = 98 satisfies that condition, since 100 divided by 98 = 1 with remainder 2 What is the remainder when 198 is divided by x? Well, 198 divided by 98 ...” October 23, 2018 ceilidh.erickson posted a reply to At a constant speed of 72 kilometers per hour, a vehicle in the Problem Solving forum “"Units Control" has a great space-age ring to it, like something you''d shout from the bridge on Star Trek! I like it.” October 23, 2018 ceilidh.erickson posted a reply to A factory has three types of machines, each of which works in the Problem Solving forum “Fabio, I definitely agree with your sentiment generally! But Mitch & I have worked side by side for years, with much mutual respect (I''m assuming!). I''ve never known him to knowingly step on anyone''s toes. I''m sure we''ve all had the experience of someone else posting while we were in the ...” October 23, 2018 ceilidh.erickson posted a reply to Although the earliest surviving Greek inscriptions written in the Critical Reasoning forum “For more on CR Boldface questions, see: https://www.beatthegmat.com/gmat-official-guide-2019-boreal-owls-range-over-a-much-t303663.html#818059 https://www.beatthegmat.com/gmat-official-guide-2019-in-countries-where-automobile-t303686.html#818265 ...” October 23, 2018 ceilidh.erickson posted a reply to Although the earliest surviving Greek inscriptions written in the Critical Reasoning forum “With BOLDFACE questions in CR, break down the argument according to the following roles: - author''s conclusion - supporting premises - counterpoint / someone else''s conclusion - support for the counterpoint - general phenomena / neutral facts We can break down this argument as follows: ...” October 23, 2018 ceilidh.erickson posted a reply to While political discourse and the media in the United States in the Critical Reasoning forum “If we want to EVALUATE an argument, we must first figure out where the argument is flawed: we must find a missing link between premises & conclusion. Conclusion: The drop in enrollment of foreign-born graduate students since 2001 will hurt America’s competitiveness in basic research and ...” October 23, 2018 ceilidh.erickson posted a reply to If x and y are positive integers, what is the remainder when in the Data Sufficiency forum “It''s important to note here that certain digits will always maintain the same units digit, regardless of the exponent: 0, 1, 5, and 6. All other digits [2, 3, 4, 7, 8, and 9] will change units digits, depending on the exponent. More on establishing those patterns here: ...” October 23, 2018 ceilidh.erickson posted a reply to If Machine B and Machine C work together at their constant in the Data Sufficiency forum “Machines working together will work at the SUM of their individual rates. Since the question is asking us for the proportion of the work that Machine B completed, we would need to know the proportion that A & C together completed. (1) Machine A and Machine B, working together at their ...” October 23, 2018 ceilidh.erickson posted a reply to At a constant speed of 72 kilometers per hour, a vehicle in the Problem Solving forum “For more on doing unit conversions correctly, see: https://www.manhattanprep.com/gmat/blog/2016/01/20/heres-how-to-do-gmat-unit-conversions-like-a-pro/ https://www.manhattanprep.com/gmat/blog/2013/01/14/remember-your-units/” October 23, 2018 ceilidh.erickson posted a reply to At a constant speed of 72 kilometers per hour, a vehicle in the Problem Solving forum “Here''s an easy way to set up UNIT CONVERSIONS - set it up as fractions, so that numerators and denominators of the same unit cancel: https://i.postimg.cc/JD8nxJtz/Screenshot-2018-10-23-12-18-55.png https://i.postimg.cc/cKR1vHTy/Screenshot-2018-10-23-12-20-01.png Now there''s no confusion ...” October 23, 2018 ceilidh.erickson posted a reply to A factory has three types of machines, each of which works in the Problem Solving forum “At first, it might seem as if we don''t have enough information to solve. We have 3 unknowns (the rates of Machines A, B, and C), but only 2 equations. Since this is Problem Solving and not Data Sufficiency, though, (and there is no "cannot be determined" answer) there must be some way to ...” October 23, 2018 Brent@GMATPrepNow posted a reply to Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum “Range and Standard Deviation Video: https://www.youtube.com/watch?v=FbAlIjw2fwY Cheers, Brent” October 23, 2018 Brent@GMATPrepNow posted a reply to Which of the following values, when inserted into the set of in the Problem Solving forum “Let''s test each answer choice.... A. 2 The new set becomes {2, 5, 10, 12, 13, 17, 22, 22} Since we have an EVEN number of values in the set, the median equals the average of the two middlemost numbers. So, median = (12 + 13)/2 = 25/2 = 12.5 No good - we want the median to be 15 B. ...” October 23, 2018 Brent@GMATPrepNow posted a reply to What are the coordinates of point B in the figure above ? in the Data Sufficiency forum “IMPORTANT: For geometry Data Sufficiency questions, we are typically checking to see whether the statements "lock" a particular angle, length, or shape into having just one possible measurement. This concept is discussed in much greater detail in the video below. Target question: What ...” October 23, 2018 Brent@GMATPrepNow posted a reply to The range of set A is 24 and the range of set B is 20. What in the Problem Solving forum “If the range of set A is 24, and we add more values (from set B) to set A, then the range of the resulting set must be greater than or equal to 24 (that is, the range of a set cannot get smaller upon adding MORE numbers to that set). For this reason, we can ELIMINATE answer choice A. From ...” October 23, 2018 Brent@GMATPrepNow posted a reply to If x and y are positive integers, what is the remainder when in the Data Sufficiency forum “ Given: x and y are positive integers Target question: What is the remainder when x^y is divided by 10? This is a good candidate for rephrasing the target question. Notice that 43 divided by 10 leaves remainder 3, and 127 divided by 10 leaves remainder 7, and 618 divided by 10 leaves ...” October 23, 2018 Jay@ManhattanReview posted a reply to All attendees at a university gathering are faculty or in the Data Sufficiency forum “There are a total of T attendees; out of which, there are F ONLY faculty members, A ONLY alumni and B both faculty members and alumni. Thus, we have T = F + A + B ---(1) We have to get the value of B. Let''s take each statement one by one. (1) 3/5 of the attendees are members of the ...” October 23, 2018 Jay@ManhattanReview posted a reply to Three photographers , Lisa, Mike and Norm, take photos of a in the Problem Solving forum “Say the number of photos taken by Lisa, Mike and Norm are l, m and n, respectively. Given, the total of Lisa and Mikes photos is 50 less than the sum of Mike''s and Norms, we have l + m = m + n – 50 => l = n –50 ---(1) Given, Norms photos number 10 more than twice the number of ...” October 23, 2018 Brent@GMATPrepNow posted a new topic called CHALLENGE: 10 teams (A, B, C, D, E, F, G, H, I and J) partic in the Problem Solving forum “10 teams (A, B, C, D, E, F, G, H, I and J) participate in a soccer tournament in which each team plays every other team once. For each game played, points are awarded to the teams as follows: 0 points for losing the game 1 point each for tying the game 2 points for winning the game After ...” October 22, 2018 Brent@GMATPrepNow posted a reply to Clarissa will create her summer reading list by randomly in the Problem Solving forum “Take the task of creating the reading list and break it into stages. Stage 1: Select a book to read 1st There are 10 books to choose from. So, we can complete stage 1 in 10 ways Stage 2: Select a book to read 2nd There are 9 books remaining to choose from (since we already chose a book ...” October 22, 2018 Brent@GMATPrepNow posted a reply to A jar contains only green pencils and red pencils. If the in the Data Sufficiency forum “Target question: What percentage of the pencils are green? Given: The jar contains only green pencils and red pencils. Statement 1: The jar contains 75 red pencils. If 75 of the 225 pencils are red, then the remaining 150 pencils are GREEN. 150/225 = 2/3 = 66 2/3%, so the answer to ...” October 22, 2018 Jay@ManhattanReview posted a reply to Dataset W: –9, –3, 3, 9 Dataset X: 2, 4, 6, 8 Dataset Y: in the Problem Solving forum “Note that the computation of standard deviation is not within the scope of the GMAT; however, its interpretation is within the scope. Standard deviation is a measure of how much far or close values of the dataset are to the arithmetic mean. Closer the values are to the mean, lesser is the ...” October 22, 2018 Jay@ManhattanReview posted a reply to Clarissa will create her summer reading list by randomly in the Problem Solving forum “Since the reading list lays importance to order of the books, we will apply Permutation and not Combination. In other words, if Clarissa chooses A, B, C, and D as chosen 4 books, for example, ABCD and ADCB are two different lists. So, the number of ways to choose 4 books (Order in important) = ...” October 22, 2018 Jay@ManhattanReview posted a reply to A bookshelf holds both paperback and hardcover books. in the Data Sufficiency forum “Given: The ratio of paperback books to hardcover books is 22 to 3. Say x is the common ratio, thus, the number of paperback books = 22x and the number of hardcover books = 3x. Or, the total the number of books = 22x + 3x = 25x. Question: How many paperback books are on the shelf? Let''s ...” October 22, 2018 Jay@ManhattanReview posted a reply to The attendees at a certain convention purchased a total of in the Data Sufficiency forum “Given: Few attendees at a certain convention purchased a total of 15,000 books. Question: How many of these attendees were female? Let''s take each statement one by one. 1. There was a total of 4,000 attendees at the convention. Certainly insufficient. 2. The male attendees purchased ...” October 22, 2018 Jay@ManhattanReview posted a reply to Tim and Glenn are running laps around a circular track. If in the Data Sufficiency forum “Given: Tim and Glenn are running laps around a circular track and start at exactly the same time. Question: In how many seconds will Tim have run exactly one lap further than Glenn? Let''s take each statement one by one. (1) Tim runs each lap in 48 seconds and Glenn runs each lap in 60 ...” October 22, 2018 Brent@GMATPrepNow posted a reply to Challenge Question: In the x-y coordinate plane, does line k in the Data Sufficiency forum “Target question: Does line k have a positive x-intercept? Statement 1: (slope of line k)(y-intercept of line k) > 0 There are two possible cases that that satisfy statement 1: - the slope and y-intercept are both positive - the slope and y-intercept are both negative Let''s examine ...” October 21, 2018 Brent@GMATPrepNow posted a reply to What is the area of the triangle formed by the intersection in the Problem Solving forum “Here''s a similar question to practice with: https://www.beatthegmat.com/area-of-triangle-formed-by-intersections-of-3-lines-t276079.html Cheers, Brent” October 21, 2018 Jay@ManhattanReview posted a reply to A store sells two types of birdfeeder: Alphas and Bravos. in the Data Sufficiency forum “Say the birdfeeder sold x Alphas and y Bravos, thus, x + 2y = 50. We have to find out the total revenue generated by birdfeeders sold last month, i.e by Alpha and Bravo together. Let''s take each statement one by one. 1. Last month, the price of each Alpha was$15, and the price of each ...”
October 21, 2018
Jay@ManhattanReview posted a reply to If x and y are two points on the number line what is the in the Data Sufficiency forum
“Question: What is the value of x + y? Let''s take each statement one by one. (1) 6 is halfway between x and y. => 6 is the arithmetic mean of x and y. Thus, (x + y)/2 = 6 => x + y = 12. Sufficient. (2) y = 2x. Certainly insufficient. The correct answer: A Hope this helps! ...”
October 21, 2018
Jay@ManhattanReview posted a reply to Harry and Ron work for the same company but earn different in the Data Sufficiency forum
“Say Harry''s income, expenditure and saving are x, y, and z, respectively, thus, z = (x – y); thus, the portion of Harry''s saving = z/x. Similarly, say Ron''s income, expenditure and saving are p, q, and r, respectively, thus, r = (p – q); thus, the portion of Harry''s saving = r/p. We ...”
October 21, 2018
Rich.C@EMPOWERgmat.com posted a reply to Brian purchased a bouquet of 40 flowers for his mother for in the Problem Solving forum
“Hi All, We''re told that Brian purchased a bouquet of 40 flowers for his mother for her birthday; roses cost $1.50 each and tulips cost$1.00 each , and he spent $48 in total buying only those two types of flowers. We''re asked for the number of tulips that he bought. This question can be solved ...” October 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to At a constant speed of 72 kilometers per hour, a vehicle in the Problem Solving forum “Hi All, We''re told that a vehicles travels at a constant speed of 72 kilometers per HOUR. We''re asked what that speed is in kilometers per SECOND. This question is really just about ''unit conversions'', although at a certain point you can use the ''spread'' of the answer choices to your ...” October 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to There are between 100 and 110 cards in a collection of cards in the Problem Solving forum “Hi swerve, We''re told that there are between 100 and 110 cards in a collection of cards. If the cards are counted out 3 at a time, then there are 2 left over, but if they are counted out 4 at a time, then there is 1 left over. We''re asked for the total number of cards in the collection. This ...” October 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to Average of 4 practice test scores is 617; Can I cross 700? in the GMAT Strategy forum “Hi anmkgmat2018, GMAC has publicly stated that the Official Score that you earn on Test Day is within +/- 30 points of actual ability. Assuming a similar ''swing'' in how your CATs function, 3 of your last 4 CAT score results show that you essentially performed the same each time (about 600 +/- ...” October 20, 2018 Brent@GMATPrepNow posted a new topic called Challenge Question: In the x-y coordinate plane, does line k in the Data Sufficiency forum “In the x-y coordinate plane, does line k have a positive x-intercept? (1) (slope of line k)(y-intercept of line k) > 0 (2) (slope of line k) - (y-intercept of line k) < 0 Answer: A Difficulty level: 650 – 700 Source: www.gmatprepnow.com” October 19, 2018 Brent@GMATPrepNow posted a reply to When positive integer N is divided by positive integer J, in the Problem Solving forum “ASIDE: 7/2 = 3 1/2 = 3 + 0.5 = 3.5 Notice that 1 is the remainder when we divide 7 by 2. 23/5 = 4 3/5 = 4 + 0.6 = 4.6 Notice that 3 is the remainder when we divide 23 by 5. 31/4 = 7 3/4 = 7 + 0.75 = 7.75 Notice that 3 is the remainder when we divide 31 by 4. GIVEN: N/J = 134.08 This means ...” October 19, 2018 Brent@GMATPrepNow posted a reply to If there are more than two numbers in a certain list, is in the Data Sufficiency forum “[quote="Jay@ManhattanReview"] Hey Jay, I thought I should point out that case 2 doesn''t satisfy the statement. If we choose 1 and 2 from the set, then the product isn''t 0. That said, {0, 0, 0, 0, 1} meets the given condition, as does {0, 0, 0, 0, 0, 0, 0, 3} etc Cheers, ...” October 19, 2018 Brent@GMATPrepNow posted a reply to If -1<x<0, Which of the following is listed in ascendi in the Problem Solving forum “Let''s test a value of x. If -1 < x < 0, then x COULD equal -1/2 So, x^(-1) = (-1/2)^(-1) = 1/(-1/2) = -2 And, x^(-2) = (-1/2)^(-2) = 1/(-1/2)^2 = 1/(1/4) = 4 And, x^2 = (-1/2)^2 = 1/4 Listed in ascending order, we get: -2, 1/4, 4 In other words, x^(-1), x^2, x^(-2) Answer: A ...” October 19, 2018 Jay@ManhattanReview posted a reply to Did Jeff record more sales revenue this month than Dan did? in the Data Sufficiency forum “An alternate approach to solving this question... From Statement 2, had the sales revenue of Jeff and Dan were equal, the sales commission earned by Jeff would have been (8/6)*100% = 33.33% greater than Dan sales commission; however, from Statement 1, we know that it''s ONLY 20% (< 33/33%) ...” October 19, 2018 Jay@ManhattanReview posted a reply to Did Jeff record more sales revenue this month than Dan did? in the Data Sufficiency forum “Question: Did Jeff record more sales revenue this month than Dan did? Let''s take each statement one by one. (1) Jeff earned 20% more in sales commission this month than Dan did. Since we do not know revenue and percent of sales commission, we cannot conclude anything. It may be that ...” October 19, 2018 Jay@ManhattanReview posted a reply to At a local coffee shop, pastries may have nuts, chocolate, in the Data Sufficiency forum “Given: 1. Pastries may have nuts, chocolate, both, or neither. 2. 400 pastries were sold Friday, and if of those, 60% contained chocolate. => Number of pastries with chocolate = 60% of 400 = 240 Question: How many of those sold contained only nuts? Say, N = # of pastries with ...” October 19, 2018 Jay@ManhattanReview posted a reply to If there are more than two numbers in a certain list, is in the Data Sufficiency forum “Given: There are more than two numbers in a certain list. Question: Is each of the numbers in the list equal to 0? Let''s take each statement one by one. (1) The product of any two numbers in the list is equal to 0. Case 1: Say the set is: { 0, 0, 0, ...}. The answer is yes. Case 2: ...” October 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to In a certain math department, students are required to in the Problem Solving forum “Hi All, This question can be solved by TESTing VALUES and taking the proper notes. We''re told that there are two classes (Calculus and Trigonometry) and each is offered in beginner and advanced courses - and that each student is enrolled in just one course. The number of students enrolled in ...” October 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to The rear wheels of a car crossed a certain line 0.5 second in the Problem Solving forum “Hi All, Since this question is wordy and the answers are somewhat "crazy"-looking, it''s possible that you might feel overwhelmed by this prompt. If you stay calm though and do the unit conversions properly, then you can use the answer choices to your advantage (and eliminate most of ...” October 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to When positive integer N is divided by positive integer J, in the Problem Solving forum “Hi All, This question is a ''lift'' of an Official Guide question: OG2018 and OG2019 pg. 170, question #154 We''re told that P and J are positive INTEGERS, when P is divided by J, the REMAINDER is 14 and N/J = 134.08. We''re asked for the value of J. This question has a great ''math ...” October 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to cost of package in the Problem Solving forum “Hi All, We''re told that the cost of sending a package is T cents for the FIRST 1/4 kilogram and T/5 cents for EACH additional 1/4 kilogram or fraction thereof. We''re asked for the cost, in cents, to send a P kilogram package at this rate, where P is an integer greater than 1. This question can ...” October 19, 2018 Brent@GMATPrepNow posted a reply to The latest model of space shuttle can achieve a maximum in the Problem Solving forum “GIVEN: The shuttle can travel 25 miles in 1 second So, the shuttle can travel 1500 miles in 60 seconds In other words, the shuttle can travel 1500 miles in 1 MINUTE So, the shuttle can travel 90,000 miles in 60 MINUTES In other words, the shuttle can travel 90,000 miles in 1 HOUR In other ...” October 18, 2018 Brent@GMATPrepNow posted a reply to A jar contains 6 red marbles and 9 blue marbles. If Evelyn in the Problem Solving forum “P(both are same color) = P(1st marble is red AND 2nd marble is red OR 1st marble is blue AND 2nd marble is blue) = x P(2nd marble is red)] + x P(2nd marble is blue)] = x 5/14] + x 8/14] = x 5/14] + x 8/14] = 10/70 + 24/70 = 34/70 = 17/35 Answer: D Cheers, Brent” October 18, 2018 Brent@GMATPrepNow posted a reply to Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum “Time management strategy for test day Video: https://www.youtube.com/watch?v=bWrUiBT83PQ Cheers, Brent” October 18, 2018 Brent@GMATPrepNow posted a reply to In the x-y coordinate plane, line k passes through in the Problem Solving forum “Notice that, if the line passes through the origin, then the line has slope -4/5 (aka a slope of -0.8), but the line will not have a negative x-intercept Notice that, if the line passes through the (0,4), then the line will have slope 0, BUT the line will not have a negative x-intercept. See ...” October 18, 2018 Brent@GMATPrepNow posted a reply to f[f{f(x)}]=??? in the GMAT Math forum “Useful property: 1/(a/b) = b/a We want: ff(5)}] = f1/6}] f{1/6} = 1/(1 + 1/6) = 1/(7/6) = 6/7 So, ff{1/6}] = f6/7] Finally, f[6/7] = 1/(1 + 6/7) = 1/(13/7) = 7/13 Answer: B (since 21/39 reduces to the equivalent fraction 7/13) Cheers, Brent” October 18, 2018 Brent@GMATPrepNow posted a reply to In the month of August, Pentheus Corporation made$200,000 in the Problem Solving forum
“In the month of August, Pentheus Corporation made $200,000 in profit. Pentheus made 6% of that profit on the second Wednesday of August. 1% of$200,000 = $2,000, so 6% of$200,000 = (6)($2,000) =$12,000 So, the profit on that day = $12,000 If the profits that day were approximately 14.5% of ...” October 18, 2018 Brent@GMATPrepNow posted a reply to Brian purchased a bouquet of 40 flowers for his mother for in the Problem Solving forum “We can solve this question using either 1 variable or 2 variables. Here''s an approach that involves 1 variable: Let t = # of tulips in bouquet So. 40 - t = # of roses in bouquet So, ($1.00)(t) = the total COST of all t tulips And ($1.50)(40 - t) = the total COST of all 40-t roses ...” October 18, 2018 Jay@ManhattanReview posted a reply to The rear wheels of a car crossed a certain line 0.5 second in the Problem Solving forum “Given The rear wheels of a car crossed a certain line 0.5 second after the front wheels crossed the same line. If the centers of the front and rear wheels are 20 feet apart, Speed of the car = Distance / time = 20/0.5 feet/second = (20/5280)/0.5 mile/second = 20/(0.5*5280) mile/second = ...” October 18, 2018 Jay@ManhattanReview posted a reply to A professional gambler has won 40% of his 25 poker games for in the Problem Solving forum “Say he plays x more games after he has played 25 games. Thus, Number of games won out of the first 25 games = 40% of 25 = 10; Number of games to be won out of the x games = 80% of x = 0.8x; Number of games won out of the all (x + 25) games = 60% of (x + 25) = 3(x + 25)/5 Thus, 10 + ...” October 18, 2018 Jay@ManhattanReview posted a reply to If one number is selected at random from set A, and one in the Problem Solving forum “Number of elements in Set A: {71, 73, 79, 83, 87} = 5; Number of primes in Set A = 4 (71, 73, 79, 83) Thus, the probability of choosing a prime number from Set A = 4/5 Number of elements in Set B: B:{57, 59, 61, 67} = 4; Number of primes in Set B = 3 (53, 61, 67) Thus, the probability of ...” October 18, 2018 Jay@ManhattanReview posted a reply to Cars J and K are making the trip from City A to City B. Car in the Problem Solving forum “Let the speed of Car J is x mph, thus, the speed of Car K = 80% of x = 0.8x mph; Distance covered by Car K in 15 minutes = (0.8x)/4 = 0.2x miles Since both the cars are moving on the same track and in the same direction, the relative speed of Car J = Speed of Car J – Speed of Car K = x – ...” October 18, 2018 Brent@GMATPrepNow posted a reply to In a town of 8,000 residents, 65 percent of all residents in the Problem Solving forum “Another approach is to use the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions). Here, we have a population of residents, and the two characteristics are: ...” October 17, 2018 Rich.C@EMPOWERgmat.com posted a reply to An automobile manufacturer offers a station wagon with in the Problem Solving forum “Hi All, Sometimes Combination Formula questions come with answers that are relatively small. In this prompt, we know that there are at least 3 options, but no more than 8 options. In these situations, it''s usually pretty easy to "map out" all of the possible combinations, without ...” October 17, 2018 Rich.C@EMPOWERgmat.com posted a reply to Maria wants to send a package overseas. She can either pay in the Data Sufficiency forum “Hi All, We''re told that Maria wants to send a package overseas. She can either pay shipping company A an amount dependent on the DISTANCE of the delivery, or pay shipping company B an amount dependent on the WEIGHT of the package. We''re asked which option is less expensive. 1) Company A ...” October 17, 2018 Brent@GMATPrepNow posted a reply to What is the remainder if 7^10 is divided by 100? in the Problem Solving forum “Sweeeeeeeeeeeeet solution, Scott!! Cheers, Brent” October 17, 2018 ceilidh.erickson posted a reply to The heignt of an equilateral triangle is the side of a in the Problem Solving forum “Very well said! And thank you ;)” October 16, 2018 ceilidh.erickson posted a reply to The heignt of an equilateral triangle is the side of a in the Problem Solving forum “Well thanks, you made my day, too! We''re all here to learn from each other & share what we know, right? I''ve always found it weird and transparent when people try to "talk over" each other in forums like this. Much better to act like collaborators!” October 16, 2018 ceilidh.erickson posted a reply to The heignt of an equilateral triangle is the side of a in the Problem Solving forum “Yes, good point! I didn''t include it in my diagram, but we can''t just assume it''s 90 - we have to justify it with the reasoning Fabio outlined.” October 16, 2018 Brent@GMATPrepNow posted a reply to If x, y, and z are all nonzero numbers, and x = y + z, which in the Problem Solving forum “NOTE: this is one of those questions that require us to check/test each answer choice. In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top. For more on this strategy, see my article: ...” October 16, 2018 ceilidh.erickson posted a reply to If x, y, and z are all nonzero numbers, and x = y + z, which in the Problem Solving forum “We can also rearrange the equation algebraically. If x = y + z, then: y = x - z z = x - y Compare these to our answer choices: (A) (y - z)/x We know that y + z = x, so (y + z)/x = 1. If all terms are non-zero, then there''s no way that y + z = y - z, so (y - z)/x must not equal 1. (B) ...” October 16, 2018 ceilidh.erickson posted a reply to The heignt of an equilateral triangle is the side of a in the Problem Solving forum “Here''s an easier way to look at it: we''ve created another 30-60-90 triangle between A, B, and the midpoint of the base of the larger triangle. If the base = 1, then half the base = 1/2. This is the hypotenuse of the right triangle. Thus, AB must be half that length: 1/4. ...” October 16, 2018 ceilidh.erickson posted a reply to What is the remainder if 7^10 is divided by 100? in the Problem Solving forum “A general note: the GMAT will often use "remainder when divided by 10" as code for "units digit," or "remainder when divided by 100" as "the last 2 digits." Here are more examples along those lines: ...” October 16, 2018 ceilidh.erickson posted a reply to Among the Tsonga, a Bantu-speaking group of tribes in in the Sentence Correction forum “This question is primarily testing IDIOMS and meaning. Among the Tsonga, a Bantu-speaking group of tribes in southeastern Africa, dance teams represent their own chief at the court of each other, providing entertainment in return for food, drink, and lodging. (A) the court of each other, ...” October 16, 2018 ceilidh.erickson posted a reply to The pioneering research of Lewis Latimer and Thomas Edison, in the Sentence Correction forum “A. of Lewis Latimer and Thomas Edison, who became known for his invention of the light bulb, - when "who" follows "Lewis Latimer and Thomas Edison", it should modify both of them. Since it continues "his invention," we must rearrange the sentence so that we''re only ...” October 16, 2018 ceilidh.erickson posted a reply to A popular beach has long had a dolphin feeding program in in the Critical Reasoning forum “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 at odds with the ...” October 16, 2018 ceilidh.erickson posted a reply to Beat the GMAT! 760 in just over 4 weeks in the I just Beat The GMAT! forum “I would strongly urge everyone on this forum NOT to follow this poster''s sleep regimen. This poster may think that reducing sleep contributed to his success, but it likely did more harm than good. The GMAT is not a test you can cram for. Very broadly speaking, cramming stores a lot of ...” October 16, 2018 Brent@GMATPrepNow posted a reply to Set X consists of different positive numbers arranged in in the Data Sufficiency forum “Target question: What is the arithmetic mean of set X? Given: Set X consists of different positive numbers arranged in ascending order: K, L, M, 5, 7. K, L and M are consecutive integers This means that EITHER K, L, M = 1, 2, 3 respectively, OR K, L, M = 2, 3, 4 respectively Head straight ...” October 16, 2018 Brent@GMATPrepNow posted a reply to A Martian bat flies at 60 yards per second from its nest to in the Problem Solving forum “Rich''s approach is definitely the best (i.e., fastest) way to solve this question. However, if the answer choices weren''t so sweet, here''s an algebraic solution Average speed = (total distance traveled)/(total travel time) Let''s assign nice values to the distances. These values should ...” October 16, 2018 Brent@GMATPrepNow posted a reply to Charlie takes 2.5 hours to fly from Los Angeles to Mexico in the Problem Solving forum “Average speed = (total distance traveled)/(total travel time) So, Average speed = 1200/2.5 = 2400/5 = 4800/10 = 480 mph Answer: D Cheers, Brent” October 16, 2018 Brent@GMATPrepNow posted a reply to A certain NYC taxi driver has decided to start charging a in the Problem Solving forum “Here''s an algebraic approach: A certain taxi driver charges a rate of r CENTS per person per mile r CENTS = r/100 DOLLARS Since there are 3 people, the rate is (3)(r/100) DOLLARS per mile In other words, the rate is 3r/100 dollars per mile. With a 50% discount, the new rate = ...” October 16, 2018 Brent@GMATPrepNow posted a new topic called In the x-y coordinate plane, line k passes through in the Problem Solving forum “In the x-y coordinate plane, line k passes through the point (5, -4) and has a negative x-intercept. Which of the following COULD be the equation of line k? i) y = -0.4x - 2 ii) y = 2 - 1.2x iii) y = -0.7x - 1.5 A) i only B) ii only C) iii only D) i & ii only E) i & iii only ...” October 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to A rectangular garden is to be twice as long as it is wide. in the Problem Solving forum “Hi All, We''re told that a rectangular garden is to be TWICE as long as it is wide and 360 total yards of fencing, including the gate, will completely enclose the garden. We''re asked for the length of the garden, in yards. This question can be solved in a couple of different ways, including by ...” October 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to A Martian bat flies at 60 yards per second from its nest to in the Problem Solving forum “Hi All, We''re told that a Martian bat flies at 60 yards per second from its nest to a dry lake. When it arrives there, it immediately continues at 45 yards per second to a nearby cave. If the distance between the lake and the cave is HALF the distance between the nest and the lake, we''re asked ...” October 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to Charlie takes 2.5 hours to fly from Los Angeles to Mexico in the Problem Solving forum “Hi All, We''re told that Charlie takes 2.5 hours to fly from Los Angeles to Mexico City, which is a total distance of 1200 miles. We''re asked for the average speed of his plane in miles per hour. This is a straight-forward ''Average Speed'' question, so we can just plug in the numbers at get ...” October 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to Anna and Carol buy CDs and tapes at a music store that sells in the Problem Solving forum “Hi All, We''re told that Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends TWICE as much as Carol spends, buying THREE times as many CDs and the SAME number of tapes. If Carol spends$50.00 on ...”
October 16, 2018
Brent@GMATPrepNow posted a reply to Lindsay can paint 1/x of a certain room in one hour. If in the Problem Solving forum
“This appears to be a slightly different version of this official question: https://www.beatthegmat.com/work-rate-problem-5-t292679.html HOWEVER, unless I''m missing something, the correct answer is missing. Cheers, Brent”
October 15, 2018
Brent@GMATPrepNow posted a reply to How many factors does the number X have? in the Data Sufficiency forum
“Target question: How many factors does the number X have? Statement 1: X is divisible by 47 Let''s TEST some values. There are several values of X that satisfy statement 1. Here are two: Case a: X = 47. The factors of 47 are {1, 47}. So, the answer to the target question is X has 2 ...”
October 15, 2018
Brent@GMATPrepNow posted a reply to A rectangular solid S, has dimensions 4 by 9 by k. What is in the Data Sufficiency forum
“Target question: What is the value of k? Given: A rectangular solid S, has dimensions 4 by 9 by k Statement 1: 4 < k < 9 Since k can have ANY value between 4 and 9, statement 1 is NOT SUFFICIENT Statement 2: A cube of side 6 has the same volume as rectangular solid S. So ...”
October 15, 2018
Brent@GMATPrepNow posted a reply to In the rectangular coordinate system above, if the in the Data Sufficiency forum
“I think that, if this were an official GMAT question, the correct answer would be E (not B), because we aren''t specifically told that the dotted lines are parallel to the x-axis and the y-axis. If those dotted lines aren''t parallel to those axes, the we can''t determine the value of y. ...”
October 15, 2018
Jay@ManhattanReview posted a reply to In the rectangular coordinate system above, if the in the Data Sufficiency forum
“Given that the coordinates of point P are (5, y), we know that OM = 5; we have to get the value of ON = y. Let''s take each statement one by one. (1) The coordinates of point M are (5, 0). => OM = 5. We already know this. Moreover, we do not need this information. Insufficient. (2) ...”
October 15, 2018
Jay@ManhattanReview posted a reply to In the rectangular coordinate system above, if the in the Data Sufficiency forum
“Given that the coordinates of point P are (5, y), we know that OM = 5; we have to get the value of ON = y. Let''s take each statement one by one. (1) The coordinates of point M are (5, 0). => OM = 5. We already know this. Moreover, we do not need this information. Insufficient. (2) ...”
October 15, 2018
Jay@ManhattanReview posted a reply to A rectangular solid S, has dimensions 4 by 9 by k. What is in the Data Sufficiency forum
“Question: A rectangular solid S, has dimensions 4 by 9 by k. Question: What is the value of k? Let''s take each statement one by one. (1) 4 < k < 9 K can have any value. Insufficient. (2) A cube of side 6 has the same volume as rectangular S. Volume of cube = 6^3; Volume of ...”
October 15, 2018
Jay@ManhattanReview posted a reply to How many factors does the number X have? in the Data Sufficiency forum
“Question: How many factors does the number X have? Let''s take each statement one by one. 1) X is divisible by 47. Certainly insufficient. If X = 47, then the number of factors of X (1 and 47)= 2; however, if say X = 94, then the number of factors of X (1, 2, 47, and 94) = 4. No unique ...”
October 15, 2018
Brent@GMATPrepNow posted a reply to In the figure above, triangle ABC is equilateral, and point in the Problem Solving forum
“It may help to add some lines to the diagram. First add lines from the center to the 3 vertices. https://s8.postimg.cc/e412m8uq9/clk1.jpg Aside, we know that each angle is 120º since all three (equivalent) angles must add to 360.º Then draw a circle so that the triangles vertices are on ...”
October 15, 2018
Brent@GMATPrepNow posted a reply to The mass of 1 cubic meter of a substance is 800 kg under in the Problem Solving forum
“GIVEN: 1 cubic METER of the substance weighs 800 KILOGRAMS 1 kg =1,000 grams, so we can write: 1 cubic METER of the substance weighs 800,000 GRAMS 1 cubic meter = 1,000,000, so we can write: 1,000,000 cubic CENTIMETERS of the substance weighs 800,000 GRAMS What is the volume in cubic ...”
October 14, 2018
Jay@ManhattanReview posted a reply to Data sufficiency question- Manhattan question 700 level in the Data Sufficiency forum
“Given: Point C is the center of the circle and DB = 7; Question: What is the length of DE in triangle EDB? Let''s take each statement one by one. (1) x = 60° In ∆ABC, AC and BC are radii, thus the angles opposite them must be equal. Thus, /_ABC = /_BCA = xº = 60º. This means that /_ ...”
October 14, 2018
Brent@GMATPrepNow posted a reply to At a family summer party, each of the x members of the in the Problem Solving forum
“These kinds of questions (Variables in the Answer Choices - VIACs) can be answered algebraically or using the INPUT-OUTPUT approach. The Ash Mo solved the question algebraically, so let''s use the INPUT-OUTPUT approach. It might be useful to choose a number that works well with the fractions ...”
October 13, 2018
Brent@GMATPrepNow posted a reply to When A and B are positive integers, is AB a multiple of 4? in the Data Sufficiency forum
“Target question: Is AB a multiple of 4? Useful property: If N is divisible by d, we can say that N = dk for some integer k For example, if N is divisible by 5, we can say that N = 5k for some integer k Statement 1: The greatest common divisor of A and B is 6 This means that A is divisible ...”
October 13, 2018
Brent@GMATPrepNow posted a reply to How much time did it take a certain car to travel 400 in the Data Sufficiency forum
“Target question: How long did it take to travel 400km To find the travel time, we need to know the average speed traveled. Let x = the average speed traveled. REPHRASED target question: What is the value of x? Statement 1: The car traveled the first 200 km in 2.5 hrs No info about the ...”
October 13, 2018
Brent@GMATPrepNow posted a reply to Challenge question: What is the sum of all in the Problem Solving forum
“Approach #1 If we recognize that x^(2/3) = u-substitution. Let u = x^(1/3) Now take original equation and replace x^(1/3) with u to get: u² - u - 2 = 4 Subtract 4 from both sides to get: to get: u² - u - 6 = 0 Factor: (u - 3)(u + 2) = 0 So, the two solutions here are u = 3 and u = -2 ...”
October 13, 2018
Brent@GMATPrepNow posted a reply to A certain club has 10 members, including Harry. One of the 1 in the Problem Solving forum
“As with many probability questions, we can solve this using counting techniques or probability rules. So, before you embark on one approach, try to determine which one is faster. Here''s the probability approach: P(Harry selected Secretary or Treasurer) = 1 - P(Harry selected president OR ...”
October 13, 2018
Jay@ManhattanReview posted a reply to Alice, Barbara, and Cynia work on identical tasks at differe in the Data Sufficiency forum
“We have to determine which one of the three Alice Barbara, and Cynia is the slowest. Let''s take each statement one by one. (1) Barbara, working alone, can complete the task in 14 hours, and Barbara and Cynia working together can complete the task in approximately 86% of the time taken by ...”
October 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to The probability of winning game A is X and the probability in the Problem Solving forum
“Hi All, We''re told that the probability of winning Game A is X and the probability of winning Game B is Y. We''re asked when playing a SINGLE round of EACH of the two games, what is the probability of winning EXACTLY ONCE. This question can be solved in a couple of different ways, including by ...”
October 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to During 2005, a company produced an average of 2,000 products in the Problem Solving forum
“Hi Swerve, Although the prompt does not explicitly state it, we''re meant to infer that the company continues to produce products EVERY month (in the years 2005 through 2008, inclusive). A 200% increase in the monthly average (from 2005) would be 6,000 products per month for the ENTIRE 4-YEAR ...”
October 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to Probability in the Problem Solving forum
“Hi yoshi97, When posting a GMAT questions, you should make sure to post the 5 answer choices (as sometimes the answers provide a clue as to how to approach the question in the most efficient way possible or a shortcut to avoiding a math-heavy approach). Here we''re told that of all of the ...”
October 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to Full time student in the GMAT Strategy forum
“Hi Purvee, Raising a 490 to a 700+ will likely require at least another 3 months of consistent, guided study, even if you are studying full time - and you''ll have to make significant improvements to how you handle BOTH the Quant and Verbal sections. Thankfully, the GMAT is a consistent, ...”
October 12, 2018
Brent@GMATPrepNow posted a reply to The average age of a group of n people is 15 yrs. One more in the Problem Solving forum
“The average age of a group of n people is 15 yrs. So, (sum of all n ages)/n = 15 Multiply both sides by n to get: (sum of all n ages) = 15n One more person aged 39 joins the group and the new average is 17 yrs. IMPORTANT: Once this 39-year-old is added to the group, the (NEW sum of ages) = ...”
October 12, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: What is the sum of all in the Problem Solving forum
“What is the sum of all solutions to the equation x^(2/3) - x^(1/3) - 2 = 4? A) -35 B) -19 C) 7 D) 19 E) 35 Answer: D Source: www.gmatprepnow.com Difficulty level: 600 - 650”
October 12, 2018
Brent@GMATPrepNow posted a reply to Challenge question: j and k are positive integers in the Data Sufficiency forum
“ Given: n = 10^j + k Target question: Is n divisible by 15? Key concepts: - If n is divisible by 15, then n must be divisible by 3 AND by 5 - If n is divisible by 3, then the sum of n''s digits must be divisible by 3 (for example, we know that 747 is divisible by 3, because 7+4+7 = 18, ...”
October 12, 2018
Jay@ManhattanReview posted a reply to If x and y are integers and xy ≠ 0, is x - y > 0? in the Data Sufficiency forum
“Given: x and y are integers and xy ≠ 0. Question: Is x – y > 0? Let''s take each statement one by one. (1) x/y < 1/2 Case 1: Say x = 2 and y = 6, we have x/y => 2/6 = 1/3 < 1/2. We see that x – y = 2 – 6 = –4 < 0. The asnwer is No. Case 2: Say x = –2 and y = ...”
October 12, 2018
Jay@ManhattanReview posted a reply to How much time did it take a certain car to travel 400 in the Data Sufficiency forum
“Question: How much time did it take a certain car to travel 400 kilometers? Let''s take each statement one by one. (1) The car traveled the first 200 kilometers in 2.5 hours. Certainly insufficient since we do not know how much it took to travel the remaining 200 kms. Insufficient. (2) ...”
October 12, 2018
Jay@ManhattanReview posted a reply to A building has 48 one- and two-bedroom apartments to rent, in the Data Sufficiency forum
“Given: A building has 48 one- and two-bedroom apartments to rent, some with balconies and others without. Question: If one of these apartments is to be selected at random, is the probability greater than 1/2 that the apartment has two bedrooms and a balcony? Let''s take each statement one by ...”
October 12, 2018
Brent@GMATPrepNow posted a reply to Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum
“Here''s our video on "if" versus "whether" https://www.youtube.com/watch?v=F2ZHtB088us Cheers, Brent”
October 11, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: j and k are positive integers in the Data Sufficiency forum
“j and k are positive integers, and n = 10^j + k. Is n divisible by 15? (1) j and k are each divisible by 3 (2) j and k are each divisible by 5 Answer: A Difficulty level: 700+ Source: www.gmatprepnow.com”
October 11, 2018
ceilidh.erickson posted a reply to Strategy to score 700+ in the GMAT Verbal & Essays forum
“I''m not really sure what you''re asking here. You say that you don''t have time or energy to prep, but then you''re asking for advice about how get a 700? If there were a magical shortcut to a 700, everyone would take it, and there would be no need for prep programs. The way to get a 700 is to ...”
October 11, 2018
ceilidh.erickson posted a reply to GMAT preparation Group at 42 in the Let's Meet Up forum
“The most important thing is to determine *why* you want an MBA at this age. Why not an EMBA? If you''re seeking to level up your skills, there may be ways to do that outside of a full-time program. It''s generally the case that elite MBA programs want to accept students who are relatively early ...”
October 11, 2018
ceilidh.erickson posted a reply to DS: Difficulty level: 700, Source: GMATPrep in the GMAT Math forum
“The square root of a square is a coded way of saying absolute value. Whether the base is positive or negative, squaring will make it positive, and when given a root sign, we only take the positive root: https://i.postimg.cc/PN1FGTXN/Screenshot-2018-10-11-15-57-39.png So, we can rephrase the ...”
October 11, 2018
ceilidh.erickson posted a reply to Full time student in the GMAT Strategy forum
“If you''re finding that the Mprep Foundations guides are easy, then move on to the strategy guides. I''d recommend doing a handful of the drill sets at the end of each chapter in the Foundations guides to test your knowledge / build your basic muscles back up, but you can probably skip reading the ...”
October 11, 2018
Brent@GMATPrepNow posted a reply to Julie opened a lemonade stand and sold lemonade in two in the Data Sufficiency forum
“This question illustrates a common trap on the GMAT. For statement 2, we''re able to write the equation 52x + 58y = 492 , and in high school we learned that, if we''re given 1 equation with 2 variables, we cannot find the value of either variable. However, if we restrict the variables to ...”
October 11, 2018
Jay@ManhattanReview posted a reply to For the students in a Physical Fitness Class Section #1, the in the Data Sufficiency forum
“Given: • Section 1: Range = R; Highest weight = X, thus, Lowest weight = X – R • Section 2: Range = S; Highest weight = Y, thus, Lowest weight = Y – S Question: Is X – R > Y – S? Let''s take each statement one by one. (1) R < S Case 1: If X > Y, then X – R ...”
October 11, 2018
Jay@ManhattanReview posted a reply to Julie opened a lemonade stand and sold lemonade in two in the Data Sufficiency forum
“Given: Julie sells lemonade in two different sizes, a 52-cent (12oz) and a 58-cent (16oz) size Question: How many 52-cent (12oz) lemonade drinks did Julie sell? Let''s take each statement one by one. (1) Julie sold a total of 9 lemonades. Certainly insufficient. (2) The total value of ...”
October 11, 2018
Jay@ManhattanReview posted a reply to If x and y are positive integers in the Data Sufficiency forum
“Given: x and y are positive integers. Question: Is the total number of positive divisors of x^3 a multiple of the total number of positive divisors of y^2? Let''s take each statement one by one. (1) x = 4 Given x = 4, we have x^3 = 4^3 = 2^6 => there are a total of 6 + 1 = 7 positive ...”
October 11, 2018
Jay@ManhattanReview posted a reply to If x and y are positive integers, is xy a multiple of 8? in the Data Sufficiency forum
“Say least common multiple (LCM) and the greatest common divisor (GCD) of two numbers x and y are L and G. Note that for two numbers x and y, the product of x and y equals LCM and GCD. Thus, xy = 100*10 = 1000 Since 1000 is divisible by 8, xy is a multiple of 8. Both the statements together ...”
October 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to Full time student in the GMAT Strategy forum
“Hi Purvee, To start, many Test Takers spend 3 months (or more) of consistent study time before they hit their ''peak'' scores, so if you limit your timeframe to just 2 months, then there might be a limit to how much you can improve. Before I can offer you the specific advice that you’re ...”
October 10, 2018
Rich.C@EMPOWERgmat.com posted a reply to Dick and Jane each saved $3000 in 1989. In 1990 Dick save 8 in the Problem Solving forum “Hi All, We''re told that Dick and Jane EACH saved$3,000 in 1989. In 1990, Dick saved 8 percent MORE than he did in 1989, and TOGETHER he and Jane saved a total of $5,000. We''re asked APPROXIMATELY what percent less did Jane save in 1990 than in 1989. This question essentially comes down to the ...” October 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to Angela’s grade was in the 90th percentile out of 80 grades in the Problem Solving forum “Hi swerve, We''re told that Angela’s grade was in the 90th percentile out of 80 grades in her class and in another class of 100 students there were 19 grades higher than Angela’s grade. We''re asked - if nobody had the same grade as Angela’s grade, what percentile was Angela in the two ...” October 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to Quant Question from Princeton Mock: in the GMAT Math forum “Hi Mrrinali, To start, you would likely receive more of a response if you posted your questions in the specific forum for that category. For example, the DS forum is here: https://www.beatthegmat.com/data-sufficiency-f7.html We''re told that Byrne and some of his friends (men and women) go ...” October 10, 2018 Brent@GMATPrepNow posted a reply to There are 5 cars to be displayed in 5 parking spaces with in the Problem Solving forum “Let R, R, R, B, Y represent the cars (by their colors) Notice that the three R''s are identical. So, the question becomes In how many different ways can we arrange the letters R, R, R, B and Y? ----------------ASIDE------------------------------ When we want to arrange a group of items in ...” October 10, 2018 Brent@GMATPrepNow posted a reply to Is x/11 an integer? in the Data Sufficiency forum “Target question: Is x/11 an integer? Statement 1: 5x/11 is an integer Let''s TEST some values There are several values of x that satisfy statement 1. Here are two: Case a: x = 11. Notice that 5x/11 = 5(11)/11 = 5, which is an integer. In this case, x/11 = 11/11 = 1. So, the answer to the ...” October 10, 2018 Brent@GMATPrepNow posted a reply to Dick and Jane each saved$3000 in 1989. In 1990 Dick save 8 in the Problem Solving forum
“Here''s the original wording: In 1990, Dick saved 8 percent more than in 1989 So, Dick''s savings in 1990 = 1.08($3000) =$3240 In 1990, Dick and Jane saved a total of $5,000. So, Jane''s savings =$5,000 - $3240 =$1760 Approximately what percent less did Jane save in 1990 than in ...”
October 10, 2018
Brent@GMATPrepNow posted a reply to Pam and Sue drove in the same car to a business meeting that in the Problem Solving forum
“Travel time = distance/speed Pam''s travel time = 120 miles/60 mph =2 hours Sue''s travel time = 120 miles/50 mph =2.4 hours Time difference = 2.4 hours - 2 hours = 0.4 hours To convert 0.4 hours to minutes, recognize that 1 hour = 60 minutes So, 0.4 hours = (0.4)(60) minutes = 24 minutes ...”
October 10, 2018
Jay@ManhattanReview posted a reply to Ann can have her bicycle repaired for $50, or she can trade in the Problem Solving forum “Cost of repair =$50; Cost of new bicycle – Credit for old bicycle = 107 – 22 = $85 Excess amount paid to get bicycle = 85 – 50 = 35 The cost to her of purchasing the new bicycle is (35/50)*100% = 70% greater than the cost of having her current bicycle repaired. The correct answer: ...” October 10, 2018 Jay@ManhattanReview posted a reply to A cube and a pyramid of square base share the same in the Problem Solving forum “Say the side of the cube = a, thus, the volume of the cube = a^3 and the surface area of the cube = 6a^2 => a^3 = 6a^2 => a = 6 Note that the volume of a pyramid = Volume of cube/3 Volume of a pyramid = Volume of cube/3 = a^3/3 = 6^3/3 = 72 The correct answer: D Hope this ...” October 10, 2018 Jay@ManhattanReview posted a reply to If P is a set of integers and 3 is in P, is every positive in the Data Sufficiency forum “Let''s first understand the question. The question says, "If P is a set of integers and 3 is in P, is every positive multiple of 3 in P? " "every positive multiple of 3" means that all the integers from the set {3, 6, 9, 12, 15, ...}, all the numbers are in Set P. There may ...” October 10, 2018 Jay@ManhattanReview posted a reply to If a total of 84 students are enrolled in two sections of a in the Data Sufficiency forum “Say the number of students in Section 1 is x and the number of students in Section 2 is y. Thus, x + y = 84 Let''s take each statement one by one. (1) 2/3 of the students in Section 1 are female. => 2x/3 are females, but we do not know how many females are in Section 2. Insufficient. ...” October 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to Bob is training for a fitness competition. In order to in the Problem Solving forum “Hi All, We''re told that Bob is training for a fitness competition. In order to increase his maximum number of pull-ups, he follows the following routine: he begins with 25 pull-ups, rests for thirty seconds, and then does 24 pull-ups and rests, dropping one pull-up each time (25, 24, 23, etc.) ...” October 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to A certain car traveled twice as many miles from Town A to in the Problem Solving forum “Hi All, We''re told that a certain car traveled TWICE as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 12 miles per gallon, and from Town B to Town C, the car averaged 18 miles per gallon. We''re asked for the average MILES PER GALLON ...” October 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to If Jim drives k miles in 50 minutes, how many minutes will in the Problem Solving forum “Hi All, We''re told that Jim drives K miles in 50 MINUTES. We''re asked how many MINUTES it will take him to drive 10 miles at the same rate. This question can be solved rather easily by TESTing VALUES. Since K can be any positive value, we can set K = 10. Thus, we know that Jim drives 10 ...” October 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to If P is an odd integer and (P^2 + Q * R) is an even integer, in the Problem Solving forum “Hi All, We''re told that If P is an ODD integer and (P^2 + Q * R) is an EVEN integer. We''re asked which of the following MUST be true. This question can be solved with a mix of Number Properties and TESTing VALUES. To start, since P is ODD, we know that P^2 will also be ODD (since ODD^2 = ...” October 10, 2018 Brent@GMATPrepNow posted a reply to A group of medical interns at Bohemus Medical School want to in the Problem Solving forum “Take the task of arranging dates and break it into stages. Let A, B, C, D and E represent the 5 girls Stage 1: Select a boy to date girl A We can choose any of the 5 boys, so we can complete stage 1 in 5 ways Stage 2: Select a boy to date girl B Since we already selected a boy in ...” October 9, 2018 Brent@GMATPrepNow posted a reply to A school library contains 200 hardcover and 300 paperback in the Problem Solving forum “Another approach is to use the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions). Here, we have a population of books, and the two characteristics are: - ...” October 9, 2018 Brent@GMATPrepNow posted a reply to Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum “Here''s our video on the Double Matrix Method for overlapping sets: https://www.youtube.com/watch?v=jK-tiBrrf04 Cheers, Brent” October 9, 2018 Brent@GMATPrepNow posted a reply to If x, y, and z are positive numbers, Is z between x and y? in the Data Sufficiency forum “Target question: Is z between x and y? Statement 1: x < 2z < y There are several sets of values of x, y and z that satisfy this condition. Here are two: Case a: x = 3, y = 10, and z = 2, in which case z is NOT between x and y Case b: x = 1, y = 10, and z = 3, in which case z IS ...” October 9, 2018 Jay@ManhattanReview posted a reply to If x, y, and z are positive numbers, Is z between x and y? in the Data Sufficiency forum “Given: x, y, and z are positive numbers Question: Is z between x and y? Let''s take each statement one by one. (1) x < 2z < y Case 1: Say x = z = 1 and y = 3, then x < 2z < y => 1 < 2*1 < 3 => 1 < 2 < 3. We see that z is NOT between x and y. The answer is No. ...” October 9, 2018 Jay@ManhattanReview posted a reply to A school library contains 200 hardcover and 300 paperback in the Problem Solving forum “Given: Number of books: 200 hardcovers and 300 paperbacks • Number of hardcover fiction = 30% of 200 = 60; • Number of hardcover non-fiction = 200 – 60 = 140; • Number of paperbacks fiction = 70% of 300 = 210; • Number of paperbacks non-fiction = 300 – 210 = 90 The ...” October 9, 2018 Jay@ManhattanReview posted a reply to Bob is training for a fitness competition. In order to in the Problem Solving forum “We have a set of certain consecutive numbers in decreasing order. Set of # of pull-ups: {25, 24, 23, ..., 12, 11} The sum of the elements of the set can be found in many ways. I provide one of those ways. From 25 to 11, there are (25 – 11) + 1 = 15 numbers Average of the consecutive ...” October 9, 2018 Brent@GMATPrepNow posted a reply to If the product of X and Y is a positive number, is the sum in the Data Sufficiency forum “IMPORTANT CONCEPTS: An ODD power preserves the sign of the base. For example, (-5)^3 = -125 and 2^5 = 32 An EVEN power always yields a positive number (as long as the base ≠ 0 For example, (-5)^4 = 625 and 2^6 = 64 Target question: Is the sum of x and y negative? Given: the ...” October 9, 2018 Brent@GMATPrepNow posted a reply to DS: Difficulty level: 700, Source: Economist in the GMAT Math forum “The key word here is must So, if we can find a case in which an answer choice is NOT true, then we can eliminate that answer choice. A. x is odd and y is even. x = 3 and y = 11 satisfies the condition that x/y is not an integer Since y is NOT even, we can ELIMINATE A B. x is odd and y is ...” October 9, 2018 Brent@GMATPrepNow posted a reply to James invested$5000 in scheme A for 1 year at a simple in the Problem Solving forum
“Scheme A Interest = 5% of $5,000 =$250 Scheme B 10% interest compounded semi-annually means that the interest is compounded 2 times (in 1 year) at a rate of 5% each time One option is to apply the compound interest formula, but since we''re only compounding the interest twice, it may be ...”
October 9, 2018
Jay@ManhattanReview posted a reply to The probability of winning game A is X and the probability in the Problem Solving forum
“Given: 1. The probability of winning game A is X, and 2. The probability of winning game B is Y Thus, The probability of NOT winning game A = 1 – X The probability of NOT winning game B = 1 – Y Thus, the probability of winning exactly once = the probability of winning either A ...”
October 9, 2018
Jay@ManhattanReview posted a reply to Find the fourth consecutive even number 1) The sum of the in the Problem Solving forum
“What''s the source of the question? It''s a poorly-worded question. Let''s take each statement one by one. 1) The sum of the last two numbers is 30. Say the four even consecutive numbers are n, (n + 2), (n + 4), and (n + 6). Thus, as per the information (n + 4) + (n + 6) = 2n + 10 = 30 ...”
October 9, 2018
Jay@ManhattanReview posted a reply to Find the fourth consecutive even number 1) The sum of the in the Problem Solving forum
“What''s the source of the question? It''s a poorly-worded question. Let''s take each statement one by one. 1) The sum of the last two numbers is 30. Say the four even consecutive numbers are n, (n + 2), (n + 4), and (n + 6). Thus, as per the information (n + 4) + (n + 6) = 2n + 10 = 30 ...”
October 9, 2018
Rich.C@EMPOWERgmat.com posted a reply to Alex and Brenda both stand at point X. Alex begins to walk in the Problem Solving forum
“Hi All, We''re told that Alex and Brenda both stand at point X, Alex begins to walk away from Brenda in a straight line at a rate of 4 miles per hour - and ONE HOUR later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. We''re asked, if ...”
October 9, 2018
Rich.C@EMPOWERgmat.com posted a reply to A farm used two harvesting machines, H and K, to harvest 100 in the Problem Solving forum
“Hi All, We''re told that a farm used two harvesting Machines, H and K, to harvest 100 acres of wheat. Harvesting Machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting Machine K was brought in, and harvesting Machines H and K, working together at ...”
October 9, 2018
Rich.C@EMPOWERgmat.com posted a reply to A retailer buys cases of 24 shirts for $30/case and then in the Problem Solving forum “Hi All, We''re told that a retailer buys cases of 24 shirts for$30/case and then resells them in packs of 5 for $8/pack, the retailer sold ALL of the shirts it purchased and profited$84 on the sale. We''re asked for the number of PACKS of shirts that it sold. This question can be approached in ...”
October 9, 2018
Rich.C@EMPOWERgmat.com posted a reply to 5 times n is three less than twice n. What number is three in the Problem Solving forum
“Hi All, We''re told that 5 times N is three less than twice N. We''re asked to find the number that is three less than twice N. This question is essentially about ''translating'' sentences into equations and a bit of Algebra. "5 times N is three less than twice N"... 5(N) = 2(N) ...”
October 9, 2018
Rich.C@EMPOWERgmat.com posted a reply to What is the probability of getting exactly three heads on in the Problem Solving forum
“Hi All, We''re asked for the probability of getting EXACTLY three heads on five flips of a fair coin. This question can be approached in a couple of different ways, but they all involve a bit of ''Probability math.'' To start, since each coin has two possible outcomes, there are ...”
October 9, 2018
Brent@GMATPrepNow posted a reply to A retailer buys cases of 24 shirts for $30/case and then in the Problem Solving forum “The key information here is that the retailer sold all the shirts it purchased This is a huge hint! For example, we know that the retailer did NOT buy only 1 case of 24 shirts, because 24 shirts will not divide into packs of 5 shirts. Likewise, we know that the retailer did NOT buy 2 cases of ...” October 8, 2018 Brent@GMATPrepNow posted a reply to If x^2-3x=10, what is the value of x? in the Data Sufficiency forum “ Given: x² - 3x = 10 Subtract 10 from both sides to get: x² - 3x - 10 = 0 Factor: (x - 5)(x + 2) = 0 So, EITHER x = 5 OR x = -2 Target question: What is the value of x? Statement 1: x² - 4 = 0 Factor: (x + 2)(x - 2) = 0 So, EITHER x = -2 OR x = 2 When we combine this with the fact ...” October 8, 2018 Brent@GMATPrepNow posted a reply to What is the greatest prime factor of 1+2+3+….+36? in the Problem Solving forum “Useful formula: 1 + 2 + 3 + 4 + . . . . + n = (n)(n + 1)/2 So, 1 + 2 + 3 + …. + 36 = (36)(36 + 1)/2 = (36)(37)/2 = (18)(37) = (2)(3)(3)(17) So, the greatest prime factor is 37 Answer: E Cheers, Brent” October 8, 2018 Rich.C@EMPOWERgmat.com posted a reply to Problem solving: Difficulty level: 700, Source: Jamboree in the Problem Solving forum “Hi aishwaryav12, We''re told that X is an integer. We''re asked for the number of possible solutions for the equation X^2+5|X|+6=0. This question can approached in a couple of different ways, but you can actually solve it with Number Properties and avoid doing any calculations whatsoever. ...” October 7, 2018 Rich.C@EMPOWERgmat.com posted a reply to A certain scholarship committee awarded scholarships in the in the Problem Solving forum “Hi All, We''re told that a certain scholarship committee awarded scholarships in the amounts of$1250, $2500 and$4000 - there are twice as many $2500 scholarships as$4000 and it awarded three times as many $1250 scholarships as$2500 scholarships. A total of $37500 was awarded in$1250 ...”
October 7, 2018
Rich.C@EMPOWERgmat.com posted a reply to Working alone, pump A can empty a pool in 3 hours. Working in the Problem Solving forum
“Hi All, We''re told that working alone, Pump A can empty a pool in 3 HOURS and Pump B can empty the same pool in 2 HOURS. We''re asked how many MINUTES it would take the two pumps, working together, to empty the pool. This question can be solved in a couple of different ways, including with the ...”
October 7, 2018
Brent@GMATPrepNow posted a reply to Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum
“In this short (3:25) video, we''ll examine the age-old question When do I use IF and when do we use WHETHER? Video link: https://www.youtube.com/watch?v=F2ZHtB088us Cheers, Brent”
October 7, 2018
Brent@GMATPrepNow posted a reply to All assets in Karina's investment portfolio are divided in the Problem Solving forum
“Let''s say Karina''s entire portfolio is worth $100 altogether. So, we want to divide this$100 into four integer amounts: w, x, y, z, where w < x < y < z, and we want to minimize the value of z In order to MINIMIZE the value of the z, we must MAXIMIZE the values of w, x, and y. Now ...”
October 7, 2018
Brent@GMATPrepNow posted a reply to Beth and Jim each received a salary increase. If Jim's in the Data Sufficiency forum
“Target question: Did Beth receive a greater dollar increase in salary than Jim? Given: Jim''s salary was increased by the same percent as Beth''s salary Statement 1: Before the increases, Jim''s salary was greater than $25,000. Since we have no information about Beth, there''s no way to ...” October 7, 2018 Brent@GMATPrepNow posted a reply to Problem solving: Difficulty level: 700, Source: Jamboree in the Problem Solving forum “Take: x² + 5|x| + 6 = 0 Subtract 6 from both sides to get: x² + 5|x| = -6 KEY CONCEPT: x² ≥ 0 and |x| ≥ 0 for all values of x In other words, x² will always be greater than or equal to 0 And |x| will always be greater than or equal to 0, which means 5|x| will always be greater than or ...” October 7, 2018 Brent@GMATPrepNow posted a reply to TRICKY! There are n teams playing in a basketball tournam in the Problem Solving forum “Good catch regor60! A few people alerted me to this error earlier in the day, but I was on the road and couldn''t respond. Man, I must have solved the question 3 or 4 times to make sure the numbers added up, BUT I never considered the impossibility of more than one team winning every game. ...” October 7, 2018 Rich.C@EMPOWERgmat.com posted a reply to John tossed a fair coin 3 times. What is the probability in the Problem Solving forum “Hi All, We''re told that John tossed a fair coin 3 times. We''re asked for the probability that the outcome was "tails" EXACTLY twice. This question can be approached in a number of different ways; sometimes the fastest way to answer these types of Probability questions is to just ...” October 6, 2018 Brent@GMATPrepNow posted a reply to Is -3*x^3 <= -3? in the Data Sufficiency forum “Target question: Is (-3)(x³) ≤ -3? This is a good candidate for rephrasing the target question. Take: (-3)(x³) ≤ -3? Divide both sides by -3 to get: x³ ≥ 1 Under what circumstance will x³ be greater than or equal to 1? Well, x³ EQUALS 1 when x = 1 So, x³ will be greater than ...” October 6, 2018 Brent@GMATPrepNow posted a reply to If x + 5 > 2 and x - 3 < 7, the value of x must be bet in the Problem Solving forum “GIVEN: x + 5 > 2 Subtract 5 from both sides of the inequality to get: x > -3 Or we can write this as -3 < x GIVEN: x - 3 < 7 Add 3 to both sides of the inequality to get: x < 10 COMBINE the inequalities to get: -3 < x < 10 Answer: A Cheers, Brent” October 6, 2018 Brent@GMATPrepNow posted a reply to Each year for 4 years, a farmer increased the number of in the Problem Solving forum “Here''s another approach: First notice that, if the number of trees increases by 1/4, then the new number is 5/4 times the original number. Let x = the # of trees in the orchard at the beginning of the 4 year period. (5/4)x = # of trees after 1 year (5/4)(5/4)x = # of trees after 2 years ...” October 5, 2018 Brent@GMATPrepNow posted a reply to Health insurance Plan A requires the insured to pay$1000 or in the Problem Solving forum
“Here''s an algebraic approach: Let T = TOTAL COST Plan A: Person pays EITHER $1000 OR 0.5T, whichever is LESS Plan B: Person pays$300 plus 20% of anything over $300. In other words, the person pays$300 + 0.2(T - 300) Since Plan A has two different scenarios, we need to test both. That ...”
October 5, 2018
Rich.C@EMPOWERgmat.com posted a reply to Health insurance Plan A requires the insured to pay $1000 or in the Problem Solving forum “Hi All, We''re told that Health insurance Plan A requires the insured to pay$1000 or 50% of total cost, whichever is LOWER. Plan B requires the insured to pay the initial $300, but IT then pays 80% of the cost over$300. We''re asked which of the following is a cost level for which both ...”
October 5, 2018
Rich.C@EMPOWERgmat.com posted a reply to Which of the following is closest to the value of in the Problem Solving forum
“Hi All, We''re asked which of the following numbers is closest to the value of the given fraction. While it might appear that some of the answers are ''close'' to one another, the reality is that each answer is 10 TIMES greater than the answer immediately below it - meaning that we can use ...”
October 5, 2018
Rich.C@EMPOWERgmat.com posted a reply to Greg is training for a marathon by running to and from work in the Problem Solving forum
“Hi All, We''re told that Greg is training for a marathon by running to and from work each day, a distance of 12 miles each way; he runs from home to work at an average speed of 6 miles per hour and returns at an average speed of 4 miles per hour. We''re asked for Greg’s average speed, in miles ...”
October 5, 2018
Rich.C@EMPOWERgmat.com posted a reply to Vivian drives to her sister's house and back. She takes the in the Problem Solving forum
“Hi All, We''re told that Vivian drives to her sister''s house and back. She takes the exact same route both ways; on the trip out she drives an average speed of 50 miles per hour and on the trip back she drives an average speed of 70 miles per hour. We''re asked for her approximate average speed ...”
October 5, 2018
Rich.C@EMPOWERgmat.com posted a reply to Andrew bought pizzas for his swim team. Pepperoni pizzas in the Problem Solving forum
“Hi All, We''re told that Andrew bought pizzas for his swim team; pepperoni pizzas cost $13 each, combination pizzas cost$17 each and he bought only pepperoni or combination pizzas (spending a total of $184 on pizzas). We''re asked for the TOTAL number of pizzas he bought. This question can be ...” October 5, 2018 Brent@GMATPrepNow posted a new topic called Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum “I thought I''d start a thread featuring some of the videos from our course. This first video is one of my favorites. It covers a useful mental-math technique called Multiplying by Doubling and Halving (length 3:25) Video link: https://www.youtube.com/watch?v=D__dWwmgq2w All the best on ...” October 5, 2018 Brent@GMATPrepNow posted a new topic called TRICKY! There are n teams playing in a basketball tournam in the Problem Solving forum “Several teams are competing in a basketball tournament, and each team plays every other team once. Each game has exactly 1 winner and 1 loser (no ties). If 4 teams lost exactly 5 games, 5 teams won exactly 3 games, and each of the remaining teams won all of its games, what is the total number of ...” October 5, 2018 ceilidh.erickson posted a reply to Advocates of a large-scale space-defense research project in the Critical Reasoning forum “We''re asked for 4 answer choices that WEAKEN the conclusion. (Note: this does NOT mean to look for one answer that strengthens! It''s often the case that we''ll find 4 answers that weaken and one that''s irrelevant.) First, let''s determine where the argument is flawed: Premises: since ...” October 5, 2018 ceilidh.erickson posted a reply to Guitar strings often go "dead"--become less respon in the Critical Reasoning forum “When we''re asked what information would help us to EVALUATE an argument, we''re looking for a question for which a "yes" answer would weaken the argument and a "no" answer would strengthen the argument (or vice versa). Premise: Guitar strings often go "dead"--become ...” October 5, 2018 Brent@GMATPrepNow posted a reply to Andrew bought pizzas for his swim team. Pepperoni pizzas in the Problem Solving forum “This question illustrates the difference between the abstract math and real world math. From the given information, we''re able to create ONE equation: 13p + 17c = 184 In high school, we learned that, if we''re given 1 equation with 2 variables, we cannot find the value of either variable, so ...” October 5, 2018 Brent@GMATPrepNow posted a reply to ||2-3|-|2-5||=? in the Problem Solving forum “||2-3|-|2-5|| = ||-1|-|-3|| = |1-3|| = |-2| = 2 Answer: B Cheers, Brent” October 5, 2018 Brent@GMATPrepNow posted a reply to What is the perimeter of quadrilateral Q? in the Data Sufficiency forum “Target question: What is the perimeter of quadrilateral Q? If we recognize that each statement alone is not sufficient, we can jump straight to...... Statements 1 and 2 combined There are several quadrilaterals that satisfy BOTH statements. Here are two: Case a: rectangle Q has ...” October 5, 2018 Jay@ManhattanReview posted a reply to Barbara invests$2400 in the National Bank at 5%. How much in the Problem Solving forum
“Say Barbara invests an additional sum of $x. Now the situation is this: She has to earn a total of 6% on investment$(2400 + x) Since she gets an interest of 5% of the first investment ($2400), she needs to earn an additional interest of 1% (= 6% – 5%) on$2400 from $x investment. Needless ...” October 5, 2018 Jay@ManhattanReview posted a reply to The juice stall at the circus stocked just 2 brands of in the Problem Solving forum “Say the total number of packs sold = x Thus, the total number of brand A packs sold = nx/100; and the total number of brand B packs sold = x – nx/100 = (100x – nx)/100 = x(100 – n)/100 Sales revenue from the sale of brand A = nx/100 * 1 = nx/100 Sales revenue from the sale of brand B ...” October 5, 2018 Jay@ManhattanReview posted a reply to Amit and Ian paint a wall in alternating shifts. First Amit in the Problem Solving forum “Say the P is the area of the total area to be painted and R is the total area remained unpainted after Amit has completed his 4th shift Area remained unpainted after Amit''s 1st shift = P(1 – 1/2); we know that Amit does 1/2 of the remaining Area remained unpainted after Amit''s 1st and Ian''s ...” October 5, 2018 Rich.C@EMPOWERgmat.com posted a reply to If 5 people, each working at a constant rate can wash 8 cars in the Problem Solving forum “Hi All, We''re told that 5 people, each working at a constant rate, can wash 8 cars in 40 MINUTES. We''re asked how many people working at that same constant rate are needed to wash A cars in B HOURS. With these types of questions, it often helps to determine the total amount of work needed to ...” October 5, 2018 Rich.C@EMPOWERgmat.com posted a reply to Barbara invests$2400 in the National Bank at 5%. How much in the Problem Solving forum
“Hi All, We''re told that Barbara invests $2400 in the National Bank at 5%. We''re asked how much additional money she must invest at 8% so that the TOTAL annual income will be equal to 6% of her TOTAL investment. This question can be solved in a couple of different ways, including by TESTing THE ...” October 5, 2018 Rich.C@EMPOWERgmat.com posted a reply to The juice stall at the circus stocked just 2 brands of in the Problem Solving forum “Hi All, You might recognize this as a ''lift'' of an Official Guide question. You can find that question - and a discussion of how to solve it - here: https://www.beatthegmat.com/what-mistake-am-i-making-in-this-substitution-last-sunday-a-t276293.html GMAT assassins aren''t born, they''re ...” October 4, 2018 Brent@GMATPrepNow posted a reply to A car salesman earns a base salary of$1,000 per month plus in the Problem Solving forum
“Let x = number of cars sold in 1 month So, his pay = $1000 + ($200)(n) If he earned $2,200 in February, how many cars does he have to sell in March in order to double his February earnings? If we double$2,200, we get $4,400 We need:$1,000 + ($200)(n) =$4400 Subtract $1,000 from both sides ...” October 4, 2018 Rich.C@EMPOWERgmat.com posted a reply to A car salesman earns a base salary of$1,000 per month plus in the Problem Solving forum
“Hi All, We''re told that a car salesman earns a base salary of $1,000 per month plus a commission of$200 for each car he sells. He earned $2,200 in February. We''re asked for the number of cars he would have to sell in March in order to DOUBLE his February earnings. This question can be solved ...” October 4, 2018 Brent@GMATPrepNow posted a reply to If p and q are prime numbers, is pq+1 an odd number? in the Data Sufficiency forum “Be careful, deloitte247 You haven''t used the information about p and q being prime numbers. Cheers, Brent” October 4, 2018 Brent@GMATPrepNow posted a reply to In the figure above, A is the center of the circle, DF is 5, in the Problem Solving forum “As you can see from my solution above, this question is a time-killer (even if you answer it correctly!!) So, if you''re running short on time, you can reduce the correct answers to two options, and make your best guess How so? IMPORTANT: the diagrams in GMAT problem solving questions are DRAWN ...” October 4, 2018 Brent@GMATPrepNow posted a reply to In the figure above, A is the center of the circle, DF is 5, in the Problem Solving forum “As you can see from my solution above, this question is a time-killer (even if you answer it correctly) So, if you''re running short on time, you can reduce the correct answers to two options, and make your best guess How so? IMPORTANT: the diagrams in GMAT problem solving questions are DRAWN TO ...” October 4, 2018 Brent@GMATPrepNow posted a reply to In the figure above, A is the center of the circle, DF is 5, in the Problem Solving forum “Let x = the length of AF https://i.imgur.com/pT36mTR.png This means AD = x + 5 = radius of the circle. This is convenient, because AE is also a radius of the circle. So, AE must have length x + 5 https://i.imgur.com/aLGqKow.png At this point, we can focus on the RIGHT TRIANGLE below: ...” October 4, 2018 Brent@GMATPrepNow posted a reply to If p and q are prime numbers, is pq+1 an odd number? in the Data Sufficiency forum “ Given: p and q are prime numbers Target question: Is pq + 1 an odd number? This is a good candidate for rephrasing the target question. In order for pq + 1 to be odd, we need pq to be EVEN So, we COULD rephrase our target question as Is pq an even number?, but we can do even better than ...” October 4, 2018 ceilidh.erickson posted a reply to A political candidate collected$1,749 from a fund raising in the Problem Solving forum
“If we want to MAXIMIZE the number of contributors, we must MINIMIZE the contributions of each person. We want as many people as possible to contribute exactly $50, so think of the greatest multiple of$50 that''s less than $1749. 34 people contributing exactly$50 would get us to $1700. Since we ...” October 4, 2018 Brent@GMATPrepNow posted a reply to A political candidate collected$1,749 from a fund raising in the Problem Solving forum
“In order to MAXIMIZE the number of contributors, we must MINIMIZE the amount that each supporter contributes. So, let''s say that each supporter contributes exactly $50 (which is the minimum about that each supporter contributes)$50 divides into $1,749 a total of 34 times (with$49 left over). ...”
October 4, 2018
Brent@GMATPrepNow posted a reply to If x^2 + 3x + 3 = 5x + 6 then x equals in the Problem Solving forum
“nonplus2''s approach is the as mine, but a reasonably fast alternative approach is to test the answer choices . Answer choice A suggests that one possible solution is x = -1 So, plug x = -1 into the equation to get: (-1)² + 3(-1) + 3 = 5(-1) + 6 Simplify to get: 1 = 1. Perfect!!! So, x = -1 ...”
October 4, 2018
Brent@GMATPrepNow posted a reply to A thin piece of wire 40 meters long is cut into two pieces. in the Problem Solving forum
“One approach is to plug in a value for r and see what the output should be. Let''s say r = 0. That is, the radius of the circle = 0 This means, we use the entire 40-meter length of wire to create the square. So, the 4 sides of this square will have length 10, which means the area = 100 So, ...”
October 4, 2018
Brent@GMATPrepNow posted a reply to The price of a phone call consists of a standard connection in the Problem Solving forum
“A 10-minute call costs $2.90 and a 16-minute call costs$4.40 $4.40 -$2.90 = $1.50, and 16 minutes - 10 minutes = 6 minutes So, the extra$1.50 paid for extra 6 minutes of calling So, $0.75 would pay for 3 minutes of calling How much does a 13-minute call cost? A 10-minute call costs ...” October 4, 2018 Jay@ManhattanReview posted a reply to If x and y are positive integers, is x^2*y^2 even ? in the Data Sufficiency forum “Given: x and y are positive integers. Question: Is x^2*y^2 even? For x^2*y^2 to be even, at least one between x and y must be even. Question rephrased: Is at least one between x and y even? Let''s take each statement one by one. (1) x + 5 is a prime number. => (x + 5) must be a ...” October 4, 2018 Jay@ManhattanReview posted a reply to If z is a three-digit positive integer, what is the value in the Data Sufficiency forum “Given: z is a three-digit positive integer. Question: What is the value of the tens digit of z? Let''s take each statement one by one. (1) The tens digit of z – 91 is 3. Case 1: Say z = 930; 930 – 91 = 839. Tens digit of z = 930 is 3. Case 2: Say z = 926; 926 – 91 = 835. Tens digit ...” October 4, 2018 Jay@ManhattanReview posted a reply to How many prime factors does positive integer n have? in the Data Sufficiency forum “Question: How many prime factors does positive integer n have? Let''s take each statement one by one. (1) n/7 has only one prime factor. Case 1: Say n = 7^2, then 7^2/7 = 7 (only one prime factor). We see that n = 7^2 has only one prime factor, 7. The answer is ONE. Case 2: Say n = 21 = ...” October 4, 2018 Jay@ManhattanReview posted a reply to A planed named "ship" is flying in a clock wise ci in the Data Sufficiency forum “Say when the planes are directly above the same location at the same time above Town X after 5 pm, the plane Ship makes n circular paths and Car makes m circular paths. Also, the speed of Ship is S and that of Car is C. The minimum value of (n + m) would give us the time when for the first time ...” October 4, 2018 Rich.C@EMPOWERgmat.com posted a reply to A hiker walking at a constant rate of 4 miles per hour is in the Problem Solving forum “Hi All, We''re told that a hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at a constant rate of 20 miles per hour. the cyclist stops & waits for the hiker 5 minutes after passing her while the hiker continues to ...” October 4, 2018 Rich.C@EMPOWERgmat.com posted a reply to The weights of four packages are 1, 3, 5, and 7pounds, in the Problem Solving forum “Hi All, We''re told that the weights of four packages are 1, 3, 5, and 7 pounds, respectively. We''re asked which of the following CANNOT be the total weight, in pounds, of ANY combination of the packages. This question comes down to basic Arithmetic - and you might find that it''s easiest to ...” October 4, 2018 Rich.C@EMPOWERgmat.com posted a reply to If Max can complete a job in 4 hours and Nick can complete in the Problem Solving forum “Hi All, We''re told that Max can complete a job in 4 hours and Nick can complete the same job in 6 hours. We''re asked how many FEWER hours it would take Max and Nick working together to complete the job than Max alone needs to complete the job. This question can be solved in a couple of ...” October 4, 2018 Rich.C@EMPOWERgmat.com posted a reply to 580 (Q44 V26) to 670 (Q45 V37) in 2 months! in the I just Beat The GMAT! forum “Hi auljaj, A 670/Q45 is a strong score - and a fantastic improvement over your first attempt! When are you planning to apply to Business School? And what Schools are you planning to apply to? Congrats again on all of your success so far! Another GMAT Assassin has been made! Rich” October 4, 2018 Brent@GMATPrepNow posted a reply to How many ounces of water must be added to 10 ounces of 3 % in the Problem Solving forum “The original solution contains 10 ounces 3% of that is alcohol 3% of 10 = 0.3 So, the original solution contains 0.3 ounces of alcohol Let x = the amount of water (in ounces) that must be added So, the volume of the RESULTING solution = 10 + x ounces IMPORTANT: Since we''re adding water ...” October 3, 2018 Brent@GMATPrepNow posted a reply to Ken has a group of coins worth$6.70. He has four times as m in the Problem Solving forum
“Let x = the NUMBER of dimes So, 4x = the NUMBER of nickels And 4x - 20 = the NUMBER of quarters One dime is worth $0.1, so 0.10x = the total VALUE of the dimes (in dollars) Likewise, (0.05)(4x) = the total VALUE of the nickels (in dollars) And (0.25)(4x - 20) = the total VALUE of the ...” October 3, 2018 Brent@GMATPrepNow posted a reply to Goku and Vegeta are waiting in a line, are there more than 1 in the Data Sufficiency forum “Target question: Are there more than 10 people waiting in the line? Head straight to... Statements 1 and 2 combined There are several scenarios that satisfy BOTH statements. Here are two: Case a: BACK A, B, C, D, Vegeta, Picollo, Goku, E, F, G, H FRONT. In this case, the answer to the ...” October 3, 2018 Brent@GMATPrepNow posted a reply to Vivian drives to her sister's house and back. She takes the in the Problem Solving forum “One approach is to assign a "nice" value (one that works well with 50 mph and 70 mph) to the distance her sister''s house. So, let''s say the distance is 350 miles Average speed = (total distance traveled)/(total travel time) TOTAL distance = 350 miles + 350 miles = 700 miles ...” October 3, 2018 Brent@GMATPrepNow posted a reply to Tom’s Mom is five times as old as him. In 6 years, Tom’ in the Problem Solving forum “Tom’s Mom is five times as old as him. Let T = Tom''s PRESENT age So, 5T = Mom''s PRESENT age This also means: Let T + 6= Tom''s age IN 6 YEARS and 5T + 6 = Mom''s age IN 6 YEARS In 6 years, Tom’s Mom will be three times as old as Tom. In other words: (Mom''s age IN 6 YEARS) = ...” October 3, 2018 Brent@GMATPrepNow posted a reply to A “descending number” is a three-digit number, such that in the Problem Solving forum “Let''s use some counting methods to solve this. P(selected number is "descending") = total # of descending numbers/total # of 3-digit numbers total # of 3-digit numbers 3-digit numbers go from 100 to 999 inclusive A nice rule says: the number of integers from x to y inclusive ...” October 3, 2018 Jay@ManhattanReview posted a reply to 190 students go to a school bake sale. 95 buy a chocolate in the Problem Solving forum “Say, the number of students who buy chocolate chip cookies = C; the number of students who buy peanut butter cookie = P; the number of students who buy both chocolate chip cookies and peanut butter cookie = B; the number of students who buy none of the cookies = N Thus, 195 = C + P – B + ...” October 3, 2018 Jay@ManhattanReview posted a reply to Three pipes - A, B, and C - are attached to a tank. Pipe A in the Problem Solving forum “The rates of the pipes are: 1. Pipe A: 1/6 part per hour (It fills) 2. Pipe B: –1/8 part per hour (It empties) 2. Pipe C: 1/12 part per hour (It fills) 1. Between 9 to 10 am: Part of the tank filled by pipe A = 1/6 2. By 11 am: Part of the tank filled by pipe A and empties by pipe B = ...” October 3, 2018 Jay@ManhattanReview posted a reply to Is x + y > xy ? in the Data Sufficiency forum “Question: Is x + y > xy? Let''s take each statement one by one. Statement (1): x > 0 > y Case 1: Say x = 2 and y = – 1 x + y > xy => 2 – 1 ? 2*–1 => 1 > –2. The answer is Yes. Case 2: Say x = 1/2 and y = –1 x + y > xy => 1/2 – 1 ? 1/2*–1 ...” October 3, 2018 Jay@ManhattanReview posted a reply to The symbol Ω represents one of the following operations: ad in the Data Sufficiency forum “Question: What''s the value of 1 Ω 1? Let''s take each statement one by one. (1) 2 Ω 2 = 4 2*2 = 4 or 2 + 2 = 4. So, Ω can be either multiplication or addition. So, 1 Ω 1 is either 1 + 1 = 2 or 1*1 = 1. No unqiue answer. Insufficient. (2) 0 Ω 1 = 0 0*1 = 0 or 0/1 = 0. So, Ω ...” October 3, 2018 Rich.C@EMPOWERgmat.com posted a reply to A garden center sells a certain grass seed in 5-pound bags in the Problem Solving forum “Hi All, We''re told that a garden center sells a certain grass seed in 5-pound bags at$13.85 per bag, 10-pound bags at $20.43 per bag, and 25-pound bags at$32.25 per bag. We''re asked, if a customer is to buy AT LEAST 65 pounds of the grass seed, but NO MORE THAN 80 pounds, what is the least ...”
October 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to If Machine X can make 40 widgets in 8 minutes, how many in the Problem Solving forum
“Hi All, We''re told that Machine X can make 40 widgets in 8 minutes. We''re asked for the number of widgets it can make in 1 hour. This question is a straight-forward rate question and you can probably see that you can quickly determine the rate (in widgets/minute) of the Machine. 40 ...”
October 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to During a two-week period, the price of an ounce of silver in the Problem Solving forum
“Hi All, We''re told that during a two-week period, the price of an ounce of silver INCREASED by 25 percent by the end of the first week and then DECREASED by 20 percent of this new price by the end of the second week. We''re asked, if the price of silver was X dollars per ounce at the beginning ...”
October 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to Last year, Andre's company gave him a year-end bonus that in the Problem Solving forum
“Hi All, We''re told that last year, Andre''s company gave him a year-end bonus that was between $160 and$200 and this year, his year-end bonus was 200% GREATER than it was the previous year. We''re asked which of the following COULD be the value of Andre''s bonus this year, rounded to the ...”
October 2, 2018
Rich.C@EMPOWERgmat.com posted a reply to The price of a phone call consists of a standard connection in the Problem Solving forum
“Hi All, We''re told that the price of a phone call consists of a standard connection fee, which is constant, plus a per minute charge, a 10-minute call costs $2.90 and a 16-minute call costs$4.40. We''re asked for the cost of a 13-minute call. This question can be solved in a couple of ...”
October 2, 2018
Brent@GMATPrepNow posted a reply to Challenge question: If y < 0 < x, is x/y > -1? in the Data Sufficiency forum
“I checked the link you provided, Fabio. For me, the response from the test-makers that sticks out the most is this: "it is highly unlikely that you would come across a question with independently sufficient statements that contradict each other" I think the person answering the ...”
October 2, 2018
Brent@GMATPrepNow posted a reply to Challenge question: If y < 0 < x, is x/y > -1? in the Data Sufficiency forum
“My apologies. I posted my question without noticing its FATAL FLAW. KEY CONCEPT: On the GMAT, the two statements in a Data Sufficiency question will never contradict each other (for more on this, see the video below) Let''s examine the main issue. Statement 1: x + y > 0 Okay, so x + ...”
October 2, 2018
Brent@GMATPrepNow posted a reply to During a two-week period, the price of an ounce of silver in the Problem Solving forum
“Another approach is to test a "nice" value x A great value would be $80 (since we get$100 after we increase $80 by 25%) So, x =$80 In other words, the price of silver was $80 per ounce at the beginning of the two-week period. During a two-week period, the price of an ounce of ...” October 2, 2018 Brent@GMATPrepNow posted a new topic called Challenge question: If y < 0 < x, is x/y > -1? in the Data Sufficiency forum “If y < 0 < x, is x/y > -1? (1) x + y > 0 (2) 3x < -2y Answer: D Difficulty level: 600 - 650 Source: www.gmatprepnow.com” October 2, 2018 Brent@GMATPrepNow posted a reply to For all values of x and y , let x&y be defined by x& in the Problem Solving forum “Nice question! GIVEN: x&y = xy − x + 1 So, take the equation: (a − 2)&a = a&(a + 1) Apply rules to get the equation: (a - 2)(a) - (a - 2) + 1 = (a)(a + 1) - a + 1 Expand: a² - 2a - a + 2 + 1 = a² + a - a + 1 Simplify: a² - 3a + 3 = a² + 1 Subtract a² from both sides ...” October 2, 2018 Brent@GMATPrepNow posted a reply to If 3 different numbers are selected from the first 8 prime n in the Problem Solving forum “The first 8 prime numbers are: {2, 3, 5, 7, 11, 13, 17, 19} Notice that only one prime number is EVEN, and the remaining seven numbers are ODD. Also notice that the sum of 3 numbers will be EVEN only if one of the three selected numbers is 2 So, the question is really asking "What is the ...” October 2, 2018 Brent@GMATPrepNow posted a reply to The symbol Ω represents one of the following operations: ad in the Data Sufficiency forum “Target question: What is the value of 1 Ω 1? Given: Ω represents one of the following operations: addition, subtraction, multiplication or division. Statement 1: 2 Ω 2 = 4 2 - 2 = 0, so Ω CANNOT represent subtraction. 2 ÷ 2 = 1, so Ω CANNOT represent division. 2 + 2 = 4, so ...” October 2, 2018 Brent@GMATPrepNow posted a reply to On a 20 mile course, Pat bicycled at an average rate of 30 in the Problem Solving forum “Let''s start with a WORD EQUATION (Distance traveled at 30 mph) + (Distance traveled at 8 mph) = 20 miles Distance = (rate)(time) Let t = the time (in hours) Pat spent running at 8 mph Aside: 12 minutes = 1/5 hours So, we get: (30 miles per hour)(1/5 hours) + (8 miles per hour)(t ...” October 2, 2018 Jay@ManhattanReview posted a reply to The figure above represents a rectangular tank. How many in the Problem Solving forum “When the water level is 10 centimeters below the top of the tank, the height of water would be 120 – 10 = 110 cm So, the volume of water in the tank = 1200 x 960 x 110 = 12 x 96 x 11 x 10000 Since the computation of 12 x 96 x 11 is tedious, we must follow the process of elimination. The ...” October 2, 2018 Jay@ManhattanReview posted a reply to A garden center sells a certain grass seed in 5-pound bags in the Problem Solving forum “The prices are based on the concept of the more one buys, the less per unit price one pays. Let''s first confirm this. 1. 5-pound bags at$13.85 per bag => 13.85/5 = 2.77/lbs 2. 10-pound bags at $20.43 per bag => 20.43/10 = 2.043/lbs 3. 25-pound bags at$32.25 per bag=> 32.25/25 = ...”
October 2, 2018
Jay@ManhattanReview posted a reply to During a two-week period, the price of an ounce of silver in the Problem Solving forum
“Price by the end of the first week = 125% of x = 1.25x; Price by the end of the second week = 80% of 1.25x = x The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: New York | Prague | Johannesburg | Lisbon | and many more... Schedule ...”
October 2, 2018
Brent@GMATPrepNow posted a reply to The greatest common factor of 16 and the positive integer n in the Problem Solving forum
“Now, we can use ELIMINATION to find the correct answer. Goal: Find GCF of 210 and n. 210 = (2)(3)(5)(7) The greatest common factor of 16 and the positive integer n is 4 16 = (2)(2)(2)(2) 4 = (2)(2) So, we know for certain that the PRIME FACTORIZATION of n has TWO 2''s (and no more than ...”
October 2, 2018
Brent@GMATPrepNow posted a reply to Jan lives x floors above the ground floor of a highrise in the Problem Solving forum
“Let''s first convert 7 minutes to SECONDS in order to have uniform units of measurement. 7 minutes = 420 seconds Let''s start with a word equation Jan''s travel time (in seconds) WALKING down = Jan''s travel time (in seconds) via ELEVATOR + 420 seconds It takes her 30 seconds per floor to ...”
October 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to Working continuously 24 hours a day, a factory bottles Soda in the Problem Solving forum
“Hi All, We''re told that working continuously 24 hours a day, a factory bottles Soda Q at a rate of 500 liters per second and Soda V at a rate of 300 liters per second and that TWICE as many bottles of Soda V as of Soda Q are filled at the factory each day. We''re asked for the ratio of the ...”
October 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to Jan lives x floors above the ground floor of a highrise in the Problem Solving forum
“Hi All, We''re told that Jan lives X floors above the ground floor of a high-rise building; it takes her 30 SECONDS per floor to walk down the steps and 2 SECONDS per floor to ride the elevator. We''re asked if it takes Jan the SAME amount of time to walk down the steps to the ground floor as to ...”
October 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to The figure above represents a rectangular tank. How many in the Problem Solving forum
“Hi All, We''re told that the figure above represents a rectangular tank (with a length of 1200 cm, a width of 960 cm and a height of 120 cm). We''re asked for the number of cubic centimeters of water are in the tank when the water level is 10 centimeters BELOW the top of the tank. This question ...”
October 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to At a certain committee meeting only associate professors and in the Problem Solving forum
“Hi All, This question actually has a fantastic shortcut built into it that allows you to avoid almost all the long-winded math: Associates bring 2 pencils and 1 chart; a total of 3 items Assistants bring 1 pencil and 2 charts; a total of 3 items There are 10 pencils and 11 charts; a ...”
October 1, 2018
Brent@GMATPrepNow posted a reply to Five letters A, P, P, L and E are listed in a row. How many in the Problem Solving forum
“Here''s an approach that doesn''t require us to subtract the bad arrangements. Take the task of arranging the 5 letters and break it into stages. Stage 1: Arrange the letters A, L, E in a row We can arrange n unique objects in n! ways. So, we can arrange the 3 letters in 3! ways (= 6 ...”
October 1, 2018
Brent@GMATPrepNow posted a reply to Jevan must paint 3 rooms in a house. Room A can be painted in the Problem Solving forum
“Take the task of painting the 3 rooms and break it into stages. Stage 1: Select a color for Room A Room A can be painted orange, red or green So, we can complete stage 1 in 3 ways Stage 2: Select a color for Room B Room B can be painted orange, white or red. So we can complete this ...”
October 1, 2018
Brent@GMATPrepNow posted a reply to Improve My Overall Score in the Last Leg of Preparation? in the GMAT Strategy forum
“The resource labeled "OG2018" has questions from the 2018 OG See: https://www.beatthegmat.com/mba/official-guide-2018-library Cheers, Brent”
October 1, 2018
Brent@GMATPrepNow posted a reply to Improve My Overall Score in the Last Leg of Preparation? in the GMAT Strategy forum
“Look no further<i class="em em-grinning"></i> : https://www.beatthegmat.com/official-guide-question-library-t296755.html Cheers, Brent”
October 1, 2018
Brent@GMATPrepNow posted a reply to If m and n are integers, is mn an odd integer? in the Data Sufficiency forum
“Some important rules: #1. ODD +/- ODD = EVEN #2. ODD +/- EVEN = ODD #3. EVEN +/- EVEN = EVEN #4. (ODD)(ODD) = ODD #5. (ODD)(EVEN) = EVEN #6. (EVEN)(EVEN) = EVEN Target question: Is mn an odd integer? Given: m and n are integers Statement 1: m(n+1) is even Let''s test some ...”
October 1, 2018
Jay@ManhattanReview posted a reply to In triangle ABC, angle ABC is 105 degrees. Is the area in the Data Sufficiency forum
“None of the statements alone is sufficient to answer the question, so we combine them. See the image with construction. https://i.postimg.cc/WDHWLQmM/Picture1.png Drop a perpendicular from B to AC; it meets at point D. /_BDC = /_BDA = 90º; /_CBD = 60º; /_BAD = 45º We have to get the ...”
October 1, 2018
Jay@ManhattanReview posted a reply to DS : A rectangular solid box in the Data Sufficiency forum
“The question is posted correctly. I edited it. Given: a restaurant has x biscuits and y patrons, with x > 2 and y > 1. Question: How many values of y are there, such that all the biscuits can be distributed among the patrons, with each patron receiving an equal number of whole biscuits ...”
October 1, 2018
Jay@ManhattanReview posted a reply to A sum of $200,000 from a certain estate was divided among a in the Data Sufficiency forum “Given: A sum of$200,000 was divided among a spouse and three children Question: How much did the youngest child receive? Let''s take each statement one by one. (1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the reminder. Say the total sum is ...”
October 1, 2018
Jay@ManhattanReview posted a reply to is x/140 an integer? in the Data Sufficiency forum
“We have to determine whether x/140 is an integer. Let''s take each statement one by one. 1) LCM of x & y is 360. For x/140 to be an integer, x must be a multiple of 140. Upon factorizing 140, we found that 7 is one of the prime factors of 140; however, there is no prime factor 7 in the ...”
October 1, 2018
Brent@GMATPrepNow posted a reply to If n is an integer, is n even? in the Data Sufficiency forum
“Some important rules: 1. ODD +/- ODD = EVEN 2. EVEN +/- ODD = ODD 3. EVEN +/- EVEN = EVEN 4. (ODD)(ODD) = ODD 5. (ODD)(EVEN) = EVEN 6. (EVEN)(EVEN) = EVEN Target question: Is integer n EVEN? Statement 1: n² - 1 is an odd integer n² - 1 = (n + 1)(n - 1) So, statement 1 is ...”
October 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to Alice and Bruce each bought a refrigerator... in the Problem Solving forum
“Hi All, We''re told that Alice and Bruce each bought a refrigerator, and the sum of their purchases was $900. We''re also told that TWICE of what Alice paid was$75 MORE than what Bruce paid. We''re asked what did Alice paid for her refrigerator. This question can be solved in a couple of ...”
September 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to Which of the following points is the intersection between in the Problem Solving forum
“Hi All, We''re asked which of the following points is the intersection between the lines y = 3x + 6 and y = -2x - 4. this question can be solved in a number of different ways. Sometimes, the fastest way to answer a question is to use ''brute force''; the five answers are co-ordinates and we know ...”
September 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to If x and y are positive integers greater than 1 such that x in the Problem Solving forum
“Hi All, We''re told that X and Y are positive integers GREATER than 1 such that (X - Y) is an EVEN integer and X/Y is an EVEN integer. We''re asked which of the following numbers must be NON-PRIME integers. This question can be solved with a mix of Number Property rules and TESTing VALUES. To ...”
September 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to A and B can complete a task in 20 days. B and C can complete in the Problem Solving forum
“Hi All, We''re told that A and B can complete a task in 20 days. B and C can complete the same task in 30 days and A and C can complete the task in 40 days. We''re asked to arrange the ''efficiencies'' of A, B, and C in descending order. This is actually more of a ''logic question'' than a ...”
September 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to Last year, a certain public transportation system sold an in the Problem Solving forum
“Hi All, We''re told that last year, a certain public transportation system sold an average (arithmetic mean) of 41,000 tickets per day on weekdays (Monday through Friday) and an average of 18,000 tickets per day on Saturday and Sunday. We''re asked which of the following is closest to the total ...”
September 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to The microcurrent through the electrode in a delicate circuit in the Problem Solving forum
“Hi All, We''re told that the microcurrent through the electrode in a delicate circuit is usually held constant at (3.6)(10^(-8)) amps and, because of a defect in another part of the circuit, the current was 1,000 times SMALLER. What was the current, in amps, caused by this defect. This question ...”
September 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to Improve My Overall Score in the Last Leg of Preparation? in the GMAT Strategy forum
“Hi Mrrinali, GMAC has publicly stated that the Official Score that you earn on Test Day is within +/- 30 points of actual ability. Assuming a similar ''swing'' in how your CATs function, your 2 CAT score results show that you essentially performed the same each time (about 630 +/- a few points). ...”
September 30, 2018
Brent@GMATPrepNow posted a reply to When positive integer n is divided by 13, the remainder is 2 in the Problem Solving forum
“When it comes to remainders, we have a nice rule that says: If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), ...”
September 30, 2018
Brent@GMATPrepNow posted a reply to A marketing firm determined that, of 200 households surveyed in the Problem Solving forum
“We can also solve this question using the Double Matrix Method. Here, we have a population of 200 households , and the two characteristics are: - using or not using Brand A soap - using or not using Brand B soap So, we can set up our matrix as follows (where "~" represents ...”
September 30, 2018
Brent@GMATPrepNow posted a reply to Lindsay can paint 1/x of a certain room in 20 minutes. What in the Problem Solving forum
“Given: Lindsay can paint 1/x of a certain room in 20 minutes So, in 1 HOUR, Lindsay can paint 3/x of the room Given: Lindsay and Joseph can paint the room in 1 HOUR. During that one hour, Lindsay can paint 3/x of the room. So, during that 1 HOUR, Joseph must paint the rest (whatever Lindsay ...”
September 30, 2018
Brent@GMATPrepNow posted a reply to PS : In a certain clothing store in the Problem Solving forum
“Let C = price of one pair of the CHEAPEST socks So, 2C - 1 = price of one pair of the MOST EXPENSIVE socks A customer notices that for exactly \$18, she can buy three fewer pairs of the most expensive socks than the cheapest socks. As a word equation, we can write: (# of pairs of EXPENSIVE ...”
September 30, 2018
Brent@GMATPrepNow posted a reply to If x and y are positive integers, is x/y < (x+5)/(y+5)? in the Data Sufficiency forum
“ Given: x and y are positive integers Target question: Is x/y < (x+5)/(y+5)? This is a good candidate for rephrasing the target question. Since y is POSITIVE, we can safely take the inequality x/y < (x+5)/(y+5) and multiply both sides by y. When we do this, we get: x < ...”
September 30, 2018
Brent@GMATPrepNow posted a reply to If x is the greatest common factor of 36 and 96, what is the in the Problem Solving forum
“Mitch''s solution is the approach I''d take, but another way to answer this question is to simply LIST the factors of each value and then find the GREATEST factor they have in common. When listing factors, it''s best to do so in pairs of values with a given product (either 36 or 96). Here''s what ...”
September 30, 2018
Brent@GMATPrepNow posted a reply to If a photocopier makes 2 copies in 1313 second, then, at the in the Problem Solving forum
“We can also solve this question with equivalent ratios We''ll first convert 4 minutes to SECONDS in order to use the same units of measurement throughout the solution. 1 minute = 60 seconds So, 4 minutes = 240 seconds. Now let''s set up and equation using the ratio # of copies/time in ...”
September 30, 2018
Brent@GMATPrepNow posted a reply to A number of people each wrote down one of the first 30 posit in the Data Sufficiency forum
“Target question: Were any of the integers written down by more than one of the people? Given: A number of people each wrote down one of the first 30 positive integers. Statement 1: The number of people who wrote down an integer was greater than 40. If there were exactly 30 people, ...”
September 29, 2018
Brent@GMATPrepNow posted a reply to A computer programmer needs to print 148 documents. The in the Problem Solving forum
“We can also answer this question using a step-by-step approach based on number sense. IMPORTANT: The word approximately typically suggests that we can be somewhat aggressive with our estimation There are 148 documents and the documents have an average length of 10 pages So, the TOTAL number ...”
September 29, 2018
Brent@GMATPrepNow posted a reply to List M consists of 50 decimals, each of which has a value be in the Problem Solving forum
“Let''s examine the EXTREME CASES S - T = x percent of T So, S - T = (x/100)T Divide both sides by to get: (S - T)/T = x/100 Multiply both sides by 100 to get: x = 100(S - T)/T First, we we''ll MINIMIZE the value of x by minimizing the value of S - T and maximizing the value of T. This ...”
September 29, 2018
Brent@GMATPrepNow posted a reply to If a child flips a coin five times in a row, what is the in the Problem Solving forum
“If a coin is flipped 5 times in a row, there are 32 possible outcomes (HHTTH, HTHTT, TTTTT, etc) How did we get 32? Well, there are 2 possible outcomes for the 1st coin flip, 2 possible outcomes for the 2nd coin flip, 2 outcomes for the 3rd flip, 2 outcomes for the 4th flip, and 2 outcomes for ...”
September 29, 2018
Jay@ManhattanReview posted a reply to What is the standard deviation of a, b and c? in the Data Sufficiency forum
“Question: SD of a, b and c? Let''s take each statement one by one. 1) a^2 + b^2 + c^2 = 77 Case 1: Say a = b = c = √(77/3); the answer is 0. Note that if the number in a set are equal, there is no deviation among them, thus, SD = 0. Case 2: Say a = √(77/2); b = c = 0; the answer is ...”
September 29, 2018
Jay@ManhattanReview posted a reply to A number of people each wrote down one of the first 30 posit in the Data Sufficiency forum
“To be certain that an integer, among the first 30, is repeated, at least 31 people must participate. Let''s take each statement one by one. (1) The number of people who wrote down an integer was greater than 40. Since in Statement 1, we have 40 people ≥ 31 people, it''s certain that at ...”
September 29, 2018
Jay@ManhattanReview posted a reply to An automobile manufacturer offers a station wagon with in the Problem Solving forum
“Total number of combinations with 6-cylinder engine wagons = 2*2 = 4 (manual or automatic and with or without a trailer hitch); Total number of combinations with 4-cylinder engine wagons = 2 (manual or automatic) Total Total number of combinations with = 4 + 2 = 6 The correct answer: D ...”
September 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to If x and y are integers, is the product xy odd? in the Data Sufficiency forum
“Hi All, We''re told that X and Y are INTEGERS. We''re asked if (X)(Y) is ODD. This is a YES/NO question and can be solved with Number Properties and TESTing VALUES. 1) X = -5 With the information in Fact 1, we know the value of X (and that it''s ODD). However, we don''t know whether Y is ...”
September 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to If a, b & c are integers, is abc odd? in the Data Sufficiency forum
“Hi AbhishekRyu, We''re told that A, B and C are INTEGERS. We''re asked if (A)(B)(C) is ODD. This is a YES/NO question and can be solved with Number Properties and TESTing VALUES. 1) (A)(B) is ODD Since A and B are both integers, the only way the product of those two numbers to be odd is ...”
September 28, 2018
Brent@GMATPrepNow posted a reply to R and S can complete a certain job in 6 and 4 days in the Problem Solving forum
“Let''s assign a "nice" value to the job, a value that works well with the given values (6 days and 4 days ). So, let''s say the ENTIRE job is to make 24 widgets R can complete a certain job in 6 days In other words, R can make 24 widgets in 6 days So, R can make 4 widgets per day ...”
September 28, 2018
Jay@ManhattanReview posted a reply to If non- negative integers n & p are not both odd, in the Problem Solving forum
“Given that n & p are not both odd, and non-negative integers, we have one of n and p even and the other is odd. With this information in mind, let''s see the options. A) np: This is a product of an even and an odd integer; note that EVEN * ODD = EVEN B) np + 2: EVEN + EVEN = EVEN C) 2n ...”
September 28, 2018
Jay@ManhattanReview posted a reply to Which of the following equations is NOT equivalent to in the Problem Solving forum
“The correct answer is option D: 2x = y – 3 Let''s see how: 4x^2 = y^2 – 9 Taking the square root, we get √(4x^2) = √(y^2 – 9) 2x = √D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: New York | Vienna | Kuala Lumpur | Sydney | and ...”
September 28, 2018
Jay@ManhattanReview posted a reply to A lunar mission is made up of x astronauts and is formed in the Problem Solving forum
“Before the launch day: The total number of possible lunar missions = 12Cx; On the launch day: The total number of possible lunar missions = (12 + p)Cx; We are given that 12Cx = (12 + p)Cx Note nCr = nC(n – r) Thus, (12 + p)Cx = (12 + p)C(12 + p – x) => x = 12 + p – x ...”
September 28, 2018
Jay@ManhattanReview posted a reply to Talk show host Ralph Burke has exactly one guest on his show in the Problem Solving forum
“We have 5 politicians, 3 actors, and 6 athletes The guest order would be as following: Monday: Politicians => Any of the 5 politicians can be invited => Number of ways = 5; Tuesday: Actors => Any of the 3 actors can be invited => Number of ways = 3; Wednesday: Politicians ...”
September 28, 2018