# kshiteesh86

GMATGuruNY posted a reply to A number when divided by 4 and 5 leaves remainders 1 and 4 in the Problem Solving forum
“Please fix the prompt, which has been transcribed incorrectly. It should include the word in red:”
Today
GMATGuruNY posted a reply to A woman has seven cookies - four chocolate chip and three in the Problem Solving forum
“Alternate approach: Case 1: Deborah and Kim each receive an oatmeal cookie In this case, 4 chocolate chip cookies and 1 oatmeal cookie remain. The remaining oatmeal cookie has 5 options: Nicole, Ronit, Mark, Terrance, or no one. Total ways = 5. Case 2: Deborah and Kim each receive a ...”
Today
Rich.C@EMPOWERgmat.com posted a reply to When m is divided by 7, the remainder is 5. When m is in the Problem Solving forum
“Hi All, We''re told that when M is divided by 7, the remainder is 5, when M is divided by 13, the remainder is 6 and 1 < m < 200. We''re asked for the GREATEST possible value of M. This question can be solved rather easily by TESTing THE ANSWERS. Let''s TEST Answer E first (if it fits what ...”
Today
Rich.C@EMPOWERgmat.com posted a reply to The number line above represents which of the following in the Problem Solving forum
“Hi All, The given Number line shows us a set of numbers from -3 to +1, NOT inclusive. We can TEST VALUES against the 5 answer choices to find the answer that includes JUST that range of numbers... To start, both Answer A and Answer E include an open-ended range of values, so neither of those ...”
Yesterday
Rich.C@EMPOWERgmat.com posted a reply to New to GMAT prep! Need help! in the GMAT Strategy forum
“Hi pratj05, It''s been almost 2 weeks since your first post; have you done any studying since then (and if you have, then what materials have you used so far?)? The 730+ score is one that over 90% of Test Takers never achieve (regardless of how long they study or the number of times that they ...”
Yesterday
Rich.C@EMPOWERgmat.com posted a reply to A chef mixes P ounces of 60% sugar solution with Q ounces of in the Data Sufficiency forum
“Hi All, To start, you have to be very careful about your assumptions with this question. You will likely find that doing a little bit of extra work will help you to be sure that you have the correct answer. From the prompt, we know that we''re mixing P ounces of a 60% sugar solution with Q ounces ...”
November 17, 2018
Rich.C@EMPOWERgmat.com posted a reply to Can the positive integer p be expressed as the product of in the Data Sufficiency forum
“Hi All, We''re told that P is a positive integer. We''re asked if P can be expressed as the PRODUCT of two integers, each of which is greater than 1. This is a YES/NO question can be be solved by TESTing VALUES. 1) 31 < p < 37 With the range given in Fact 1, P can only be 5 ...”
November 17, 2018
Rich.C@EMPOWERgmat.com posted a reply to If p is the sum of the reciprocals of the consecutive intege in the Problem Solving forum
“Hi All, Based on the wording of the prompt, you might think that you should add up the fractions 1/91 + 1/92 + .... 1/100, but the GMAT would NEVER require that you do that math. Instead, lets do some real basic estimation of what that sum would be LESS than and GREATER than.... Note that we''re ...”
November 17, 2018
Rich.C@EMPOWERgmat.com posted a reply to A dealer originally bought 100 identical batteries at a tota in the Problem Solving forum
“Hi All, We''re told that a dealer originally bought 100 identical batteries at a total cost of Q dollars and that each battery was sold at 50 percent above the original cost per battery. We''re asked for the amount, in dollars, that each battery was sold, in terms of Q. This question can also be ...”
November 17, 2018
Rich.C@EMPOWERgmat.com posted a reply to OG DS in the GMAT Math forum
“Hi rashedhbs, To start, you would like receive more of a response if you make sure to post your questions in the proper forums. For example, the DS forum can be found here: https://www.beatthegmat.com/data-sufficiency-f7.html We''re told that 230 single-family homes that were BUILT in City ...”
November 17, 2018
GMATGuruNY posted a reply to The Lewiston Road Race is how many kilometers long? in the Data Sufficiency forum
“Statement 1: Rate and time have a RECIPROCAL relationship. A rate ratio of (40kph) : (50kph) = 4:5 implies a time ratio of 5:4 = 10:8. The time ratio in blue implies that -- for the time at 40kph to be 2 hours more than the time at 50kph -- the time at 40kph must be 10 hours, while the time at ...”
November 17, 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 GMATGuruNY posted a reply to Tim and Glenn are running laps around a circular track. in the Data Sufficiency forum “Statement 1: The TIME RATIO for Tim and Glenn = 48:60 = 4:5. Since time and rate have a RECIPROCAL relationship, the RATE RATIO for Tim and Glenn = 5:4. Implication: For every 5 laps that Tim runs, Glenn runs only 4 laps. Thus, after running 5 laps, Tim will have run 1 more lap than Glenn. ...” November 16, 2018 GMATGuruNY posted a reply to At the Trenchard Oaks apartment complex, a two-bedroom in the Problem Solving forum “Let the one-bedroom rent =$2 per month, implying that the two-bedroom rent = 2 + (50% of 2) = 2 + 1 = $3 per month. Since the rent for a one-bedroom apartment =$2 per month, the total amount to rent a one-bedroom apartment for 12 months = 2*12 = $24. For$24, the number of months yielded for a ...”
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
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
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
GMATGuruNY posted a reply to A certain store will order 25 crates of apples. The apples in the Problem Solving forum
“Let W = Winesap crates, M = McIntosh crates, and R = Roma crates. Since a total of 25 crates are ordered, we get: W + M + R = 25. To MINIMIZE the value of W, we must MAXIMIZE the values of M and R. Since the store is to order more crates of Winesap than crates of McIntosh and more crates of ...”
November 15, 2018
GMATGuruNY posted a reply to A marzipan factory has two machines producing marzipan. in the Data Sufficiency forum
“The prompt states: Every day, the two machines operate constantly from 08:00 to 18:00. As shown in my post above, Statement 2 yields the following rate ratio: (W alone) : (W and D together) = 1:5. The rate ratio indicates that -- of every 5 kg produced when W and D work together from 8:00 to ...”
November 15, 2018
GMATGuruNY posted a reply to Organized in 1966 by the Fish and Wildlife in the Sentence Correction forum
“Generally, for + VERBing is an ADJECTIVE serving to modify a NOUN. A: The Breeding Bird Survey uses annual roadside counts along established routes for monitoring. Here, for monitoring seems to be an ADJECTIVE modifying routes, implying that the ROUTES were designed FOR MONITORING. Not the ...”
November 15, 2018
GMATGuruNY posted a reply to A marzipan factory has two machines producing marzipan. in the Data Sufficiency forum
“Statement 1: Let N = 50 kg. Since W and D produce the entire 50 kg over the 10 hours between 8:00 and 18:00, the combined rate for W and D = 50/10 = 5 kg per hour. Since W takes 25 hours to produce N/2 = 25 kg, W''s rate alone = w/t = 25/25 = 1 kg per hour. Of every 5 kg produced each hour ...”
November 14, 2018
GMATGuruNY posted a reply to If x and y are unknown positive integers, is the mean of the in the Data Sufficiency forum
“Known values, in ascending order: 1, 5, 6, 7 Statement 1: x+y = 7 Mean = sum/quantity = (1+5+6+7+x+y)/6 = (1+5+6+7+7)/6 = 26/6 = 13/3 = 4.33. Text EXTREMES. Case 1: x and y are far from each other If x=1 and y=6, we get: 1, 1. 5, 6, 6, 7 Median = (5+6)/2 = 11/2 = 5.5 Case 2: x and y ...”
November 14, 2018
GMATGuruNY posted a reply to How many positive two-digit numbers yield a remainder of 1 in the Problem Solving forum
“Let x = the two-digit number. Since dividing by 4 leaves a remainder of 1, x is equal to one more than a multiple of 4: x = 4k + 1 Since dividing by 14 leaves a remainder of 1, x is equal to one more than a multiple of 14: x = 14m + 1 Since the two expressions in blue must be equal, we ...”
November 14, 2018
Rich.C@EMPOWERgmat.com posted a reply to Distance Problem in the Problem Solving forum
“Hi All, We''re told that A, B and C each drive 100-mile legs of a 300-mile course at speeds of 40, 50 and 60 miles per hour, respectively. We''re asked what FRACTION of the total drive time did A drive. This question can be solved in a couple of different ways; there''s actually a great ''ratio ...”
November 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to Paul sells encyclopedias door-to-door. He earns $160 on in the Problem Solving forum “Hi All, We''re told that Paul sells encyclopedias door-to-door. He earns$160 on every paycheck, regardless of how many sets he sells and a commission as follows: 10% on the first $10,000.00 and 5% for any additional sales beyond that. His largest paycheck of the year was$1,320. We''re ...”
November 13, 2018
GMATGuruNY posted a reply to On a wedding catering service, An experienced chef can in the Problem Solving forum
“Let service = 24 units. Rate for each experienced chef = w/t = 24/8 = 3 units per hour. Rate for each novice chef = w/t = 24/12 = 2 units per hour. Combined rate for 1 experienced chef and 1 novice chef working together = 3+2 = 5 units per hour. To produce 24 units in 1.6 hours, rate = w/t = ...”
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 GMATGuruNY posted a reply to Jake and Ryan worked together on a job for which they were in the Problem Solving forum “Let the hourly wage =$1 per hour. Let Ryan''s time = 10 hours, implying that Jake''s time = 10 + (20% of 10) = 10 + 2 = 12 hours. Thus: Total number of work hours = 10+12 = 22 hours. Total pay = (hourly wage)(total number of work hours) = 1*22 = $22. Since the total pay = 10+12 =$22, and ...”
November 13, 2018
GMATGuruNY posted a reply to A store purchased 20 coats that each cost an equal amount in the Data Sufficiency forum
“Statement 1: If the selling price per coat had been twice as much , the store’s gross profit on the 20 coats would have been $2,400 When the selling price per coat is doubled, the resulting profit per coat = (total profit)/(number of coats) = 2400/20 = 120. Case 1: Double the selling price = ...” November 13, 2018 GMATGuruNY posted a reply to If 60! is written out as an integer, with how many in the Problem Solving forum “60! = 60*59*58*....*3*2*1. Since 10=2*5, EVERY COMBINATION OF 2*5 contained within the prime-factorization of 60! will yield a 0 at the end of the integer representation of 60!. The prime-factorization of 60! is composed of FAR MORE 2''S than 5''s. Thus, the number of 0''s depends on the ...” November 13, 2018 GMATGuruNY posted a reply to In the figure AB and CD are two diameters of circle. in the Problem Solving forum “An INSCRIBED ANGLE is formed by two chords. A CENTRAL ANGLE is formed by two radii. When an inscribed angle and a central angle intercept the same two points on a circle, the inscribed angle is 1/2 the central angle. https://i.postimg.cc/qgbxWKdW/Angle-CEB-1.png Here, inscribed angle CFB and ...” November 12, 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
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
GMATGuruNY posted a reply to If x and y are positive integers such that x = 8y + 12, what in the Data Sufficiency forum
“Statement 1: x=12u, where u is an integer and x=8y+12. In other words, x is a multiple of 12. For x to be a multiple of 12, 8y must be a multiple of 12. If y=3, then x = 8*3 + 12 = 36. The GCD of 3 and 36 is 3. If y=6, then x = 8*6 + 12 = 60. The GCD of 6 and 60 is 6. Since the ...”
November 11, 2018
GMATGuruNY posted a reply to Eight women and two men are available to serve on a in the Problem Solving forum
“P(at least 1 man) = 1 - P(no men). P(no men): P(1st person selected is a woman) = 8/10. (Of the 10 people, 8 are women.) P(2nd person selected is a woman) = 7/9. (Of the 9 remaining people, 7 are women.) P(3rd person selected is a woman) = 6/8. (Of the 8 remaining people, 6 are women.) To ...”
November 11, 2018
GMATGuruNY posted a reply to A gardener is going to plant 2 red rosebushes and 2 white in the Problem Solving forum
“Moving LEFT TO RIGHT along the row: P(1st rosebush is white) = 2/4. (Of the 4 rosebushes, 2 are white.) P(2nd rosebush is red) = 2/3. (Of the 3 remaining rosebushes, 2 are red.) P(3rd rosebush is red) = 1/2. (Of the 2 remaining rosebushes, 1 is red.) P(4th rosebush is white) = 1/1. (The one ...”
November 10, 2018
GMATGuruNY posted a reply to Every day at noon, a bus leaves for Townville and travels at in the Problem Solving forum
“Time and rate have a RECIPROCAL RELATIONSHIP: 2 times as fast implies 1/2 the time. 3 times as fast implies 1/3 the time. Let t = the normal time. Since the bus travels today at 7/6 its normal rate, the time today is equal to 6/7 of the normal time: (6/7)t. Since the bus leaves 1/2 hour late ...”
November 9, 2018
GMATGuruNY posted a reply to There are 27 different three-digit integers that can be in the Problem Solving forum
“Given any set that is symmetrical about the median: Sum = (quantity)(median) The set of 3-digit integers that can be formed from the digits 1,2 and 3 is symmetrical about the median (222): ...212, 213, 221, 222, 223, 231, 232... Thus: Sum of the 27 integers = (quantity)(median) = 27*222 = ...”
November 7, 2018
GMATGuruNY posted a reply to Is x^2>xy? in the Data Sufficiency forum
“For the purposes of a Y/N DS problem, the rephrase is the equivalent of the original question stem. Original question stem: Is x² > xy? The answer will be YES if y/x is less than 1.. The answer will be NO if y/x is NOT less than 1. Thus, the original question stem can be rephrased as ...”
November 5, 2018
GMATGuruNY posted a reply to Is x^2>xy? in the Data Sufficiency forum
“x² > xy is true only if x is NONZERO, in which case we can safely divide by x², since the square of a nonzero value must be positive: x²/x² > (xy)/x² 1 > y/x Question stem, rephrased: Is y/x < 1? Statement 1: x > y If x=2 and y=1, then y/x =1/2. so the answer to the ...”
November 5, 2018
GMATGuruNY posted a reply to | 1 - | 2 - | 3 - | 4 – π | | | | in the Problem Solving forum
“Let π=3 in the original expression and simplify the blue portion below: | 1 - | 2 - | 3 - | 4 – 3 | | | | Simplify the red portion below; | 1 - | 2 - | 3 - 1 | | | Simplify the green portion below: | 1 - | 2 - 2 | | = | 1 - 0 | = 1 The correct answer choice must yield a value of ...”
November 5, 2018
GMATGuruNY posted a reply to Working alone, three persons P, Q, and R can do a certain in the Problem Solving forum
“Let the job = the LCM of the 3 times = 60 widgets. Maximum time: The maximum time is yielded when the slowest person -- R -- works alone. Since R takes 15 hours to complete the 60-widget job, the maximum time = 15 hours. Minimum time: The minimum time is yielded when all 3 people work ...”
November 4, 2018
GMATGuruNY posted a reply to Triplets Adam, Bruce, and Charlie enter a triathlon. If ther in the Problem Solving forum
“One approach: P(good outcome) = 1 - P(bad outcome). Bad outcome #1: Exactly 1 triplet wins. P(triplet wins 1st place) = 3/9. (Of the 9 competitors, 3 are triplets) P(non-triplet wins 2nd place) = 6/8. (Of the 8 remaining competitors, 6 are non-triplets) P(non-triplet wins 3rd place) = 5/7. ...”
November 4, 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
GMATGuruNY posted a reply to Ryunosuke Akutagawa in the Sentence Correction forum
“Nicely done! Because the comparison in D allows for more than one logical interpretation, eliminate D. In fact, the ambiguity cited above is the most compelling reason to eliminate D.”
November 2, 2018
GMATGuruNY posted a reply to Ryunosuke Akutagawa in the Sentence Correction forum
“X led to Y implies that X did not directly cause Y but that X was a factor that helped to yield Y. SC755 in the OG17: An inability to adapt led to their extinction. Here, an inability to adapt did not directly cause the extinction but was a factor that helped to yield the extinction. A cause ...”
November 2, 2018
GMATGuruNY posted a reply to Ryunosuke Akutagawa in the Sentence Correction forum
“Generally, COMMA + as-clause implies that the clause after as LEADS to the preceding clause, with the result that the two clauses happen concurrently. An OA in GMATPrep: The steel industry has changed radically over the last two decades, as large, integrated companies such as Bethlehem Steel have ...”
November 2, 2018
GMATGuruNY posted a reply to Barry walks from one end to the other of a 30-meter long in the Problem Solving forum
“Let B = Barry''s rate and W = the walkway''s rate. The distance can be ANY VALUE. Let the distance = 240 meters. WITH the walkway, the time = 30 seconds: Here, Barry and the walkway WORK TOGETHER, so we ADD their rates: B+W = d/t = 240/30 = 8 meters per second. AGAINST the walkway, the ...”
November 2, 2018
GMATGuruNY posted a reply to At a family summer party, each of the x members of the in the Problem Solving forum
“Let the x family members = the product of the two denominators = 3*7 = 21. Number who chose to have a hamburger = (1/3)(21) = 7. Since 1/7 of the hamburger-eaters also had a hot dog, the number who had both = (1/7)(7) = 1. Thus, the number who did NOT have both = (total members) - (number who had ...”
November 1, 2018
GMATGuruNY posted a reply to How many positive five-digit integers contain the digit in the Problem Solving forum
“I believe that the prompt above is outdated; regardless, it does not list a correct answer. The prompt below appears in Manhattan''s 5 lb. Book of GRE Practice Problems: Case 1: 57XXX Number of options for the hundreds digit = 10. (Any digit 0-9.) Number of options for the tens digit = 10. ...”
November 1, 2018
GMATGuruNY posted a reply to Two teachers, Ms. Ames and Mr. Betancourt, each had N in the Data Sufficiency forum
“Since the N cookies can be divided evenly among 24 or 18 students, N must be divisible by both 24 and 18. One way to determine the LCM of two integers is to take multiples of the LARGER integer until we get a multiple of the SMALLER integer. Multiples of 24: 24, 48, 72... We can stop here: the ...”
November 1, 2018
GMATGuruNY posted a reply to Did one of the 3 members of a certain team sell at least 2 in the Data Sufficiency forum
“Statement 1: If NONE of the members sells at least 2 tickets, then the 3 members sell a maximum of 1 ticket each, yielding the following total: 1+1+1 = 3. Too small, since the total number of tickets sold = 6. Implication: For a total of 6 tickets to be sold, one of the 3 members must sell at ...”
October 31, 2018
GMATGuruNY posted a reply to A football team averaged 35 points per game over the first in the Problem Solving forum
“This is a weighted average/mixture problem. Average score for the first N games = 35. Score for the final game = 28. Average score for the MIXTURE of all the games = 34. Step-by-step instruction for the alligation approach: Step 1: Plot the 3 averages on a number line, with the average ...”
October 31, 2018
GMATGuruNY posted a reply to 3, 6, 9, 12, … are multiples of 3. How many multiples of 3 in the Problem Solving forum
“The difference between the endpoints of the range = 200-10 = 190. Since neither endpoint is a multiple of 3, we can count the multiples of 3 simply by dividing 3 into 190: 190/3 ≈ 63. The correct answer is D.”
October 31, 2018
GMATGuruNY posted a reply to A group of 20 friends formed an investment club, with each in the Problem Solving forum
“Let d=100. After the value of the stock increases by 40% to $140, the share received by each of the 20 friends = 140/20 = 7. The correct answer must yield a value of 7 when d=100. Only E works: (7d)/100 = (7*100)/100 = 7. The correct answer is E.” October 30, 2018 GMATGuruNY posted a reply to The average weight of a class is x pounds. When a new in the Problem Solving forum “We can PLUG IN THE ANSWERS and use alligation. To learn about alligation, check my posts here: https://www.beatthegmat.com/statistics-average-question-t288903.html https://www.beatthegmat.com/alligation-method-t293459.html https://www.beatthegmat.com/mean-t266852.html Let O = the original ...” October 30, 2018 GMATGuruNY posted a reply to Machines X and Y can work at their respective constant rates in the Data Sufficiency forum “Statement 1: Time and rate have a RECIPROCAL relationship. Since X and Y together take 2/3 as long as Y alone, X and Y together work 3/2 as fast as Y alone. Thus, if Y''s rate alone = 2 units per hour, then X and Y''s combined rate = (3/2)(2) = 3 units per hour, implying that X''s rate alone = ...” October 30, 2018 GMATGuruNY posted a reply to Set S contains nine distinct points in the coordinate plane. in the Problem Solving forum “To form a triangle, we must select 3 points such that at most 2 are collinear. Case 1: Select 3 points not on the x-axis From the 4 points not on the x-axis, the number of ways to choose 3 = 4C3 = (4*3*2)/(3*2*1) = 4. Case 2: Select 1 point on the x-axis and two points not on the x-axis From ...” October 29, 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 GMATGuruNY posted a reply to Employees at a company will vote for an executive team of in the Problem Solving forum “Number of options for president = 8. (Any of the 8 candidates.) Number of options for treasurer = 7. (Any of the 7 remaining candidates.) From the 6 remaining people, the number of ways to choose 3 to serve as warrant officers = 6C3 = (6*5*4)/(3*2*1) = 20. To combine these options, we multiply: ...” October 29, 2018 GMATGuruNY posted a reply to A set of pencils can be evenly shared between 2, 3, 4, 5 and in the Problem Solving forum “For the set of pencils to be shared evenly, the total number of pencils must be divisible by the total number of children. Thus, the correct answer must be divisible by 2, 3, 4, 5 and 6. Of the five answer choices, only E is divisible by 2, 3, 4, 5 and 6. The correct answer is E.” October 29, 2018 GMATGuruNY posted a reply to (x^2-3x+2)(y^2-5y+6)=? in the Data Sufficiency forum “Statement 1: Substituting x=1 into (x² - 3x + 2)(y² - 5x + 6), we get: (1 - 3*1 + 2)(y² - 5x + 6) = (0)(y² - 5x + 6) = 0. SUFFICIENT. Statement 2: Substituting y=1 into (x² - 3x + 2)(y² - 5x + 6), we get: (x² - 3x + 2)(1² - 5*1 + 6) = (x² - 3x + 2)(2). Since the value of x is ...” 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 GMATGuruNY posted a reply to How many integers are there between, but not including, in the Data Sufficiency forum “Statement 1: Case 1: r=0 and s=10 Integers between r and s: 1, 2, 3, 4, 5, 6, 7, 8, 9 --> 9 integers Case 2: r=1 and s=11 Integers between r and s: 2, 3, 4, 5, 6, 7, 8, 9, 10 --> 9 integers Case 3: r=2 and s=12 Integers between r and s: 3, 4, 5, 6, 7, 8, 9, 10, 11 --> 9 ...” October 28, 2018 GMATGuruNY posted a reply to Both Betty and Wilma earn annual salaries of more than$5000 in the Data Sufficiency forum
“Statement 1: Betty''s annual salary is closer to $50000 than Wilma''s is. On a number line: -----50,000---B---W Thus, W > B. SUFFICIENT. Statement 2: Betty''s annual salary is closer to$35000 than it is to Wilma''s annual salary. Case 1: -----35,000-----50,000---B---W Case 2: ...”
October 28, 2018
GMATGuruNY posted a reply to In a right triangle, the longer leg is two more than three in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the length of the shorter leg. When the correct answer is plugged in, the area = 400. B: 20 Longer leg = two more than three times the shorter leg = 2 + 3*20 = 62. Area = (1/2)(20)(62) = 620. Since the area is too great, a smaller answer choice is ...”
October 27, 2018
GMATGuruNY posted a reply to A framed picture is shown above. The frame, shown shaded, is in the Data Sufficiency forum
“Statement 1: Test one case that also satisfies Statement 2. Case 1: The frame is 8 inches tall, with the result that the total area of the frame and picture combined = 6*8 = 48 Area of the picture = (total area) - (shaded region) = 48-24 = 24. Implication: The width of the frame is 1 inch, ...”
October 27, 2018
GMATGuruNY posted a reply to What is the largest prime factor of the expression 3^8 − 2 in the Problem Solving forum
“A general rule: Given x^(even power) - y^(even power), where x and y are distinct positive integers, we can always simplify by applying the difference of two squares. Each time we apply the difference of two squares to the expression in blue, the exponents are reduced by 1/2. For example: x⁸ - ...”
October 26, 2018
GMATGuruNY posted a reply to Jazz and blues recordings accounted for 6 percent of the in the Data Sufficiency forum
“Let J = jazz and blues revenue in 1998. Statement 1: Case 1: Total revenue in 1998 = 100 In this case, J = 5% of 100 = 5. Case 2: Total revenue in 1998 = 1000 In this case, J = 5% of 1000 = 50. Since J can be different values, INSUFFICIENT. Statement 2: In other words: (jazz and blues ...”
October 26, 2018
GMATGuruNY posted a reply to x and y are non-negative integers. If xy+2x+3y=0, then y=? in the Problem Solving forum
“NONNEGATIVE implies that we should test ZERO. Let x=0. Substituting x=0 into xy + 2x + 3y = 0, we get: 0*y + 2*0 + 3y = 0 3y = 0 y = 0 The correct answer is A.”
October 26, 2018
GMATGuruNY posted a reply to Set S contains consecutive natural numbers from 1 to 100, in in the Problem Solving forum
“For any evenly spaced set: sum = (count)(median) Sum of the first n even numbers = n * median of the first n even numbers Sum of the last n odd numbers = n * median of the last n odd numbers Since the ratio of the two sums = 16/85, we get: (n * median of the first n even numbers) / (n * ...”
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
GMATGuruNY posted a reply to Quentin's income is 60% less than Rex's income, and Sam's in the Problem Solving forum
“Let Rex''s income = 100. Since Quentin''s income is 60% less than Rex''s, Quentin''s income = 100 - (60% of 100) = 100-60 = 40. Since Sam''s income is 25% less than Quentin''s, Sam''s income = 40 - (25% of 40) = 40-10 = 30. After Rex gives 60% of his income to Sam, Sam''s new income = 30 + (60% ...”
October 25, 2018
GMATGuruNY posted a reply to If |x-6|=2x, then x=? in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the value of x. Since an absolute value cannot be equal to a negative value, the correct answer cannot be A or B. D: x=2 If we plug x=2 into |x-6|=2x, we get: |2-6| = 2*2 |-4| = 4 4 = 4. Success! The correct answer is D.”
October 25, 2018
GMATGuruNY posted a reply to Tom drives from town A to town B, driving at a constant in the Problem Solving forum
“Let the distance between A and B = 120 miles. Since the 120-mile distance between A and B is twice the distance between B and C, the distance between B and C = 60 miles, implying that the total distance = 120+60 = 180 miles. Since the average speed for the 120-mile leg between A and B = 60 mph, ...”
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
GMATGuruNY posted a reply to gmat prep 2 in the Critical Reasoning forum
“The negation test is not recommended for Evaluate CRs. It can be applied to Assumption CRs and Inference CRs.”
October 24, 2018
GMATGuruNY posted a reply to Computer-based activities in the Critical Reasoning forum
“The answer choices are already phrased as statements. The OA is a statement that weakens the conclusion. OA: Computer owners in the United States predominately belong to a demographic group that have long been known to spend less time watching television. This statement indicates that a lack of ...”
October 24, 2018
GMATGuruNY posted a reply to Noelle walks from point A to point B at an average speed of in the Problem Solving forum
“Let the distance between A and B = the LCM of the two speeds = 5*6 = 30 kilometers, implying that the distance for the entire round trip = 60 kilometers. At a rate of 5 kph, the time to travel the 30 kilometers from A to B = d/r = 30/5 = 6 hours. At a rate of 6 kph, the time to travel the entire ...”
October 24, 2018
GMATGuruNY posted a reply to What is the median number of employees assigned per project in the Data Sufficiency forum
“In ascending order of EMPLOYEES PER PROJECT, let the projects be numbered 1 through 100: 1, 2, 3.....49, 50, 51, ....98, 99, 100. Projects 50 and 51 determine the MEDIAN number of employees: Question rephrased: How many employees are assigned to PROJECTS 50 and 51? Looking at the two ...”
October 24, 2018
GMATGuruNY posted a reply to Three photographers , Lisa, Mike and Norm, take photos of a in the Problem Solving forum
“The sum for Lisa and Mike is 50 less than the sum for Norm and Mike. Since Mike is common to both sums, the 50-photo difference must be yielded solely by Lisa and Norm. Implication: Lisa took 50 fewer photos than Norm. We can PLUG IN THE ANSWERS, which represent the number of photos taken by ...”
October 24, 2018
GMATGuruNY posted a reply to Circle ABCD in the diagram above is defined by the equation in the Problem Solving forum
“Circle ABCD: The equation for a circle with a center at the origin and a radius of r is x² + y² = r². The equation for circle ABCD is x² + y² = 5². Thus, circle ABCD has a radius of 5. Line EF: 3y = 4x + 25 y = (4/3)x + 25/3 Slope = 4/3. A radius drawn to a point of tangency forms ...”
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
GMATGuruNY posted a reply to A factory has three types of machines, each of which works in the Problem Solving forum
“In many cases, similar or identical solutions are posted when two experts respond at virtually the same time, with the result that the second poster is not aware of the first. The time stamps for the two solutions here indicate that both solutions were posted at 11:45am.”
October 23, 2018
GMATGuruNY posted a reply to A factory has three types of machines, each of which works in the Problem Solving forum
“Rates can be ADDED TOGETHER. 7 Machine As and 11 Machine Bs can produce 250 widgets per hour. 7A + 11B = 250 8 Machine As and 22 Machine Cs can produce 600 widgets per hour. 8A + 22C = 600 4A + 11C = 300 Adding together 7A + 11B = 250 and 4A + 11C = 300, we get: 11A + 11B + 11C = 550 A ...”
October 23, 2018
GMATGuruNY posted a reply to 25 integers are written on a board. Are there at least two in the Data Sufficiency forum
“The wording in Statement 1 does not convey a clear meaning: For every value in the list, if the value is increased by 1, the number of distinct values in the list does not change. Here, the term in red could convey to some test-takers that EVERY VALUE in the list is to be increased by 1. Not the ...”
October 23, 2018
GMATGuruNY posted a reply to The annual rent collected by a corporation from a certain in the Data Sufficiency forum
“Let the 1997 rent = 100. Increase in 1998 = (x/100)(100) = x. Thus, rent in 1998 = 100+x. Decrease in 1999 = (y/100)(100+x) = y + xy/100 For the rent to be greater in 1999 than in 1997, the increase in 1998 (x) must be greater than the decrease in 1999 (y + xy/100). Question stem, ...”
October 21, 2018
GMATGuruNY posted a reply to During a 3 year period, the profits of company X changed by in the Data Sufficiency forum
“Statement 1: If profits increase by $X from the first year to the second year, then they must increase by$0 from the second year to the third year, with the result that the increase in profits from the first year to the third year (X+0 = $X) is the same as the increase in profits from the first ...” October 21, 2018 GMATGuruNY posted a reply to OG The estimated number of homeschooled students in the Problem Solving forum “Percent greater or percent increase: (bigger value - smaller value)/(smaller value) * 100 Percent less or percent decrease: (bigger value - smaller value)/(bigger value) * 100” 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
GMATGuruNY posted a reply to Mark has fewer than 9 coins. Each coin is either a quarter in the Data Sufficiency forum
“Statement 1: 25Q + 10D = 170 5Q + 2D = 34 To minimize the number of coins, we must maximize the value of Q. If Q=6, then D=2, with the result that 5Q + 2D = (5*6) + (2*2) = 34. In this case, the total number of coins = 6+2 = 8. If the value of Q decreases, then the total number of coins will ...”
October 20, 2018
GMATGuruNY posted a reply to doubt 3 in the Sentence Correction forum
“having + VERBed is a viable construction. An introductory HAVING + VERBed modifier implies PRIOR ACTION: an action completed before the main verb. HAVING FINISHED his dessert, John LEFT the table. Here, HAVING FINISHED implies PRIOR ACTION -- an action completed before John LEFT the table. ...”
October 20, 2018
GMATGuruNY posted a reply to All attendees at a university gathering are faculty or in the Data Sufficiency forum
“Neither statement offers any information about the number of attendees who are alumni. Thus, the two statements combined are INSUFFICIENT. The correct answer is E.”
October 20, 2018
GMATGuruNY posted a reply to If n is an integer, which of the following must be divisible in the Problem Solving forum
“Test n=0. A --> n³ - 4n = 0³ - (4*0) = 0 B --> n³ + 4n = 0³ + (4*0) = 0 C --> n² + 1 = 0² + 1 = 1 D --> n² - 1 = 0² - 1 = -1 E --> n² - 4 = 0² - 4 = -4 Only the options in green yield a multiple of 3. Eliminate C, D and E. Test n=1 in the remaining answer ...”
October 20, 2018
GMATGuruNY posted a reply to At a certain industrial manufacturer, an open tank contains in the Problem Solving forum
“Since 6% of the 1000-gallon tank is fluorine, the amount of fluorine = (6/100)(1000) = 60 gallons. Since the total volume decreases at a rate of 10 gallons per day for 25 days, the decrease in the total volume = 10*25 = 250 gallons. Remaining total volume = 1000-250 = 750 gallons. Since 60 of the ...”
October 20, 2018
GMATGuruNY posted a reply to Is 1+x+x^2+x^3+x^4+x^5+x^6 < 1/(1-x)? in the Data Sufficiency forum
“CRITICAL POINTS in an equality occur when the two sides are EQUAL or the inequality is undefined. Here, the two statements provide the critical points for the inequality in the prompt: When x=0, the two sides are equal. When x=1, the inequality is undefined. To determine the range(s) where the ...”
October 20, 2018
GMATGuruNY posted a reply to Did Jeff record more sales revenue this month than Dan did? in the Data Sufficiency forum
“Statement 1: For every $100 commission that Dan earns, Jeff earns$120 in commission. Since the commission rates for Dan and Jeff are unknown, no way to determine whether Jeff recorded more sales revenue than Dan. INSUFFICIENT. Statement 2: Since Jeff''s sales and Dan''s sales can be any ...”
October 19, 2018
GMATGuruNY posted a reply to If a rectangle’s length is a+b and its area is (1/a)+(1/b) in the Problem Solving forum
“Let a=b=0.5, implying that the rectangle''s length = a+b = 0.5+0.5 = 1 and that its area = (1/0.5) + (1/0.5) = (10/5) + (10/5) = 2+2 = 4. Since the rectangle has an area of 4 and a length of 1, its width = 4. The correct answer must yield a value of 4 when a=b=0.5. Only E works: 1/ab = 1/(0.5 * ...”
October 19, 2018
GMATGuruNY posted a reply to When positive integer N is divided by positive integer J, in the Problem Solving forum
“N/J = 134.08 = 13408/100 = 3352/25. The resulting ratio indicates that N must be multiple of 3352 and that J must be a multiple of 25. Of the five answer choices, only E is a multiple of 25. The correct answer is E.”
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
GMATGuruNY posted a reply to A container contains 4 red marbles and 8 blue marbles. in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the number of blue marbles in the second container. When the correct answer is plugged in, the probability of selecting 2 red marbles OR 2 blue marbles = 1/2. B: 4 blue marbles, implying a total of 10 marbles in the second container Case1: 2 red ...”
October 19, 2018
GMATGuruNY posted a reply to Two printing presses begin printing currency at the same in the Problem Solving forum
“Since F produces 1000 5-dollar bills each minute, the dollar amount produced by F each minute = 1000*5 = $5000. Since T produces 200 20-dollar bills each minute, the dollar amount produced by T each minute = 200*20 =$4000. Thus, every minute F surpasses T by $1000. Since F surpasses T by$1000 ...”
October 18, 2018
GMATGuruNY posted a reply to Brian purchased a bouquet of 40 flowers for his mother for in the Problem Solving forum
“= We can PLUG IN THE ANSWERS, which represent the number of tulips. When the correct answer is plugged in, the total cost = $48. D: 24 tulips, implying 16 roses, for a total of 40 flowers Since each of the 24 tulips costs$1, and each of the 16 roses costs $1.50, we get: Total cost = (24*1) ...” October 18, 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 GMATGuruNY posted a reply to A certain NYC taxi driver has decided to start charging a in the Problem Solving forum “Let r=100 cents. For 3 people, the cost per mile = 3*100 = 300 cents = 3 dollars. Let x = 2 miles. Regular cost for 3 people to travel 2 miles = 3*2 = 6 dollars. With a 50% discount, the cost in dollars = 3. This is the target. Plug x=2 and r=100 into the answers to see which yields the ...” October 16, 2018 GMATGuruNY posted a reply to (1-1/10)(1-1/11)(1-1/12)…(1-1/100) =? in the Problem Solving forum “(1-1/10)(1-1/11)(1-1/12)…(1-1/99)(1-1/100) = (9/10)(10/11)(11/12)....(98/99)(99/100). The values in blue all cancel out, leaving only the values in red: 9/100. The correct answer is C.” October 16, 2018 GMATGuruNY posted a reply to A rectangular garden is to be twice as long as it is wide. in the Problem Solving forum “We can PLUG IN THE ANSWERS, which represent the length. When the correct answer is plugged in, perimeter = 360. B: 140 Since the length is twice the width, W = 70, with the result that the perimeter = 140+140+70+70 = 420. Since the perimeter is too great, a SMALLER answer choice is needed. ...” October 16, 2018 GMATGuruNY posted a reply to Is the sum of 7 different positive integers greater than or in the Data Sufficiency forum “Statement 1: Least possible case: 1+2+3+9+10+11+12 = 48. Since the least possible case is greater than or equal to 48, the answer to the question stem is YES. SUFFICIENT. Statement 2: Least possible case: 1+2+3+4+5+6+12 = 33. Greatest possible case: 6+7+8+9+10+11+12 = 63. Since the answer ...” 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
GMATGuruNY posted a reply to If x, y, and z are all nonzero numbers, and x = y + z, which in the Problem Solving forum
“x = y + z is valid if x=2, y=1 and z=1. The correct answer must yield a value of 1 when x=2, y=1 and z=1. Only E works: (x-z)/y = (2-1)/1 = 1. The correct answer is E.”
October 16, 2018
GMATGuruNY posted a reply to If |x+1|=2|x-1|, x=? in the Data Sufficiency forum
“Case 1: Signs unchanged x+1 = 2(x-1) x+1 = 2x-2 3 = x Case 2: Signs changed on ONE SIDE -x-1 = 2(x-1) -x-1 = 2x-2 1 = 3x 1/3 = x Resulting solutions: x=3 or x=1/3 Statement 1: Since x < 1, only x=1/3 is a viable solution. SUFFICIENT. Statement 2: Since x>0, both x=1/3 ...”
October 15, 2018
GMATGuruNY posted a reply to Lindsay can paint 1/x of a certain room in one hour. If in the Problem Solving forum
“Let the room = 20 units. Let x = 4. Since Lindsay paints 1/x of the room in 1 hour, Lindsay''s rate = (1/4) * 20 = 5 units per hour. Since Lindsay and Joseph paint the entire room in 1 hour, their combined rate = 20 units per hour. Thus, Joseph''s rate = (combined rate) - (Lindsay''s rate) ...”
October 15, 2018
GMATGuruNY posted a reply to The principal feature of the redesigned checks is a series o in the Sentence Correction forum
“Generally, a COMMA + VERBing modifier serves to modify the nearest preceding action and the agent of this action. C: instructions that...will help merchants confirm a check''s authenticity, by including reminders to watch the endorsement. .Here, COMMA + by including seems to modify merchants ...”
October 15, 2018
GMATGuruNY posted a reply to What is the remainder if 7^10 is divided by 100? in the Problem Solving forum
“When a positive integer is divided by 100, the remainder is yielded by the last two digits: 123/100 = 1 R23 548/100 = 5 R48 692/100 = 6 R92 Thus: The remainder when 7¹⁰ is divided by 100 is equal to the last two digits of 7¹⁰. Calculate the last two digits for consecutive powers of 7 ...”
October 14, 2018
GMATGuruNY posted a reply to Alice, Barbara, and Cynia work on identical tasks at differe in the Data Sufficiency forum
“TIME and RATE have a reciprocal relationship. Statement 1: The time ratio for Barbara and Alice = (14 hours)/(21 hours). The rate ratio for Barbara and Alice is equal to the reciprocal of the time ratio: (B''s rate)/(A''s rate) = 21/14 = 3/2. Let B = 3 units per hour and A = 2 units per ...”
October 13, 2018
GMATGuruNY posted a reply to James started from his home and drove eastwards at a in the Problem Solving forum
“Let James'' rate = 3 mph. James started from his home and drove eastwards at a constant speed. Exactly 90 minutes after James stated from his home, his brother Patrick started from the same point and drove in the same direction as James did at a different constant speed. Patrick overtook James ...”
October 13, 2018
GMATGuruNY posted a reply to A certain club has 10 members, including Harry. One of the 1 in the Problem Solving forum
“Each of the 10 members has an EQUAL chance of being elected secretary. P(Harry is elected secretary) = 1/10. Each of the 10 members has an EQUAL chance of being elected treasurer. P(Harry is elected treasurer) = 1/10. Since EITHER outcome is favorable, we ADD the fractions: 1/10 + 1/10 = 2/10 = ...”
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
GMATGuruNY posted a reply to Challenge question: What is the sum of all in the Problem Solving forum
“x^(2/3) - x^(1/3) - 2 = 4 x^(2/3) - x^(1/3) - 6 = 0 D.”
October 12, 2018
October 12, 2018
GMATGuruNY posted a reply to Hard Assumption - Manhattan in the Critical Reasoning forum
“The conclusion is constrained to the case at hand: Of the 10 babies recently placed with parents, 8 were given to friends of the staff. The assumption is that the premise (the parents given babies -- including the 8 friends --all far surpassed the agency''s criteria) is sufficient to prove the ...”
October 11, 2018
GMATGuruNY posted a reply to If every boy in a kindergarten class buys a soda and every in the Problem Solving forum
“Let: b = the number of boys g = the number of girls s = the number of cents for each soda j = the number of cents for each juice box Note: All of the values above must be POSITIVE INTEGERS. Case One: If every boy in a kindergarten class buys a soda and every girl in the same class buys a ...”
October 11, 2018
GMATGuruNY posted a reply to Julie opened a lemonade stand and sold lemonade in two in the Data Sufficiency forum
“Let X = the number of 52¢ lemonades and Y = the number of 58¢ lemonades. Since the question stem asks for the number of 52¢ lemonades, we get: What is the value of X? Statement 1: X+Y = 9 Since X can be any value between 0 and 9, inclusive, INSUFFICIENT. Statement 2: 52X + 58Y = 492 ...”
October 11, 2018
GMATGuruNY posted a reply to For the students in a Physical Fitness Class Section #1, the in the Data Sufficiency forum
“Range = highest - lowest. Thus: Lowest = highest - range. In Section 1, lowest = highest - range = X-R. In Section 2, lowest = highest - range = Y-S. If the lowest weight in Section 1 is greater than the lowest weight in Section 2, we get: X-R > Y-S X+S > Y+R. Question ...”
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 GMATGuruNY posted a reply to Angela’s grade was in the 90th percentile out of 80 grades in the Problem Solving forum “Percentile means the percentage below: (total below)/(total grades) * 100. Angela''s 80-student class: Since Angela''s grade was in the 90th percentile, 90% of the grades were below Angela''s: (90/100)(80) = 72. 100-student class: Since 19 grades were higher than Angela''s, the remaining ...” October 10, 2018 GMATGuruNY posted a reply to There are 5 cars to be displayed in 5 parking spaces with in the Problem Solving forum “Alternate approach: The 3 red cars must occupy a combination of 3 spaces. From 5 spaces, the number of ways to choose a combination of 3 for the red cars = 5C3 = (5*4*3)/(3*2*1) = 10. Number of options for the blue car = 2. (Either of the 2 remaining spaces.) Number of options for the yellow ...” October 10, 2018 GMATGuruNY posted a reply to Hard Assumption - Manhattan in the Critical Reasoning forum “Premise: All of the applicants given babies far surpassed the adoption criteria. Conclusion: In placing 8 of the 10 babies with friends, the staff was not guilty of favoritism. Apply the NEGATION TEST. When the correct answer is negated, the conclusion will be invalidated. B, negated: Of ...” 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 GMATGuruNY posted a reply to A group of medical interns at Bohemus Medical School want to in the Problem Solving forum “In other words: How many ways can 5 girls and 5 guys be divided into pairs, if each pair must consist of one girl and one guy? Number of options for the first girl = 5. (Any of the 5 guys.) Number of options for the second girl = 4. (Any of the 4 remaining guys). Number of options for the ...” October 9, 2018 GMATGuruNY posted a reply to If x, y, and z are positive numbers, Is z between x and y? in the Data Sufficiency forum “Statement 1: x < 2z < y Let x=2 and y=10. In this case: 2 < 2z < 10 1 < z < 5. If z=4, then it is between x=2 and y=10. If z=1.5, then it is not between x=2 and y=10. INSUFFICIENT. Statement 2: 2x < z < 2y Let x=2 and y=10. In this case: 2*2 < z ...” October 9, 2018 GMATGuruNY posted a reply to If s is an integer between 0 and 10, is t less than the av in the Data Sufficiency forum “The average of s and 10 lies HALFWAY between s and 10 on the number line: s------------AVERAGE------------10 Statement 1: Since t closer to 10 than to s, t must be greater than the average of s and 10, as shown here: s-----------AVERAGE---t----------10 Thus, the answer to the question stem is ...” October 9, 2018 GMATGuruNY posted a reply to A group of 10 people consists of 3 married couples and 4 si in the Problem Solving forum “Good committees = total committees - bad committees. Total committees: From 10 people, the number of ways to choose 4 = 10C4 = (10*9*8*7)/(4*3*2*1) = 210. Bad committees: Since a good committee includes at most 1 married couple, a bad committee is composed of 2 married couples. From 3 ...” 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 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
GMATGuruNY posted a reply to Problem solving: Difficulty level: 700, Source: Princeton in the Problem Solving forum
“For any evenly spaced set: sum = (number)(median) We can PLUG IN THE ANSWERS, which represent the sum. Since the number of integers can be 5 or 7, the sum must be a multiple of both 5 and 7. Eliminate A, which is not divisible by 5. Eliminate D, which is not divisible by 7. The equation in ...”
October 7, 2018
GMATGuruNY posted a reply to Health insurance Plan A requires the insured to pay $1000 or in the Problem Solving forum “THE INSURED is the person covered by the insurance. Plan A: If$1000 is LESS than 50% of the cost level, then THE INSURED pays $1000, and PLAN A pays the remainder. If$1000 is MORE than 50% of the cost level, then THE INSURED pays 50% of the cost level, and PLAN A pays the remainder. Plan ...”
October 6, 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
GMATGuruNY posted a reply to John tossed a fair coin 3 times. What is the probability in the Problem Solving forum
“P(TTH) = 1/2 * 1/2 * 1/2 = 1/8. Since H can occur on the 1st, 2nd or 3rd flip, we multiply by 3: 3*(1/8) = 3/8. The correct answer is C.”
October 6, 2018
GMATGuruNY posted a reply to Mixture Problem DS in the Data Sufficiency forum
“Yes -- each statement conveys the same information, since doubling the total volume is the equivalent of reducing the acid concentration by 1/2.”
October 6, 2018
GMATGuruNY posted a reply to The value of a share was 25% less in the 2nd quarter over in the Problem Solving forum
“Let the 1st-quarter value = 100. Since 2nd-quarter value is 25% less, the 2nd-quarter value = 100 - (25% of 100) = 100 - 25 = 75. Since the 3rd-quarter value is 20% more than the 2nd-quarter value, the 3rd-quarter value = 75 + (20% of 75) = 75 + 15 = 90. Since the 4th-quarter value must equal 120 ...”
October 6, 2018
GMATGuruNY posted a reply to Mixture Problem DS in the Data Sufficiency forum
“Statement 1 indicates that 80 grams of water are added to the 80 grams of original solution, DOUBLING the total volume from 80 grams to 160 grams Statement 2 indicates that the added water reduces the acid concentration by 1/2. Doubling the total volume will reduce the acid concentration by 1/2 ...”
October 6, 2018
GMATGuruNY posted a reply to Each year for 4 years, a farmer increased the number of in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the original number of trees. Since the number of trees increases by 1/4 each year, the correct answer must be a multiple of 4. The last 2 digits of a multiple of 4 must themselves form a multiple of 4. Eliminate A (1250) and C (2250), since 50 is ...”
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 GMATGuruNY posted a reply to A chessboard is an 8×8 array of identically sized squares. in the Problem Solving forum “Case 1: Every 6-block rectangle with a base of 2 and a height of 3 yields 4 possible L-shapes: https://i.postimg.cc/1gJCfb5J/chessboard_L_shape_1.png Chessboard: https://i.postimg.cc/LYJThXW8/chessboard_whole.png The base for the 6-block rectangle shown above can appear in rows 1 through 6, ...” October 5, 2018 GMATGuruNY posted a reply to Amit and Ian paint a wall in alternating shifts. First Amit in the Problem Solving forum “During each of Amit''s 4 shifts, he paints 1/2 of the room, leaving 1/2 the room unpainted. Since 1/2 of the room is left unpainted FOUR TIMES, the total fraction left unpainted as a result of Amit''s 4 shifts = (1/2)⁴. Since Ian works after each of Amit''s first 3 shifts, Ian paints a total ...” 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 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 GMATGuruNY posted a reply to A thin piece of wire 40 meters long is cut into two pieces. in the Problem Solving forum “Since the answer choices are in terms of a variable -- the value of r -- we can PLUG IN. Let the ENTIRE WIRE be used to form the square. Then: Perimeter of the square = 40. Side = 10. Area = 100. Circle area + square area = 0 + 100 = 100. This is our target. Since the circle has no ...” October 4, 2018 GMATGuruNY posted a reply to If x and y are positive integers, is x^2*y^2 even ? in the Data Sufficiency forum “x²y² will be even unless both x and y are ODD. Question stem, rephrased: Are x and y both odd? Statement 1: x+5 is prime number greater than 2 and thus must be ODD. Implication: x+5 = ODD x = ODD - 5 = ODD - ODD = EVEN. Since x is even, x and y cannot both be odd. SUFFICIENT. ...” October 4, 2018 GMATGuruNY posted a reply to A hiker walking at a constant rate of 4 miles per hour is in the Problem Solving forum “Rate and time have a RECIPROCAL RELATIONSHIP. The RATE RATIO for the hiker and cyclist = 4 mph : 20 mph = 1:5. Thus: The TIME RATIO for the hiker and cyclist = the reciprocal of the rate ratio = 5:1. Implication: The hiker will take 5 TIMES AS LONG as the cyclist to travel the same ...” 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 GMATGuruNY posted a reply to How many ounces of water must be added to 10 ounces of 3 % in the Problem Solving forum “Alcohol percentage in the original solution: 3%. Alcohol percentage in the added water: 0%. Alcohol percentage in the mixture: 1%. Let S = the original solution and W = the added water. The following approach is called ALLIGATION -- a very efficient way to handle MIXTURE PROBLEMS. Step 1: ...” October 3, 2018 GMATGuruNY posted a reply to Vivian drives to her sister's house and back. She takes the in the Problem Solving forum “When the same distance is traveled at two different speeds, the average speed for the entire trip will be a bit LESS than the average of the two speeds. Since (70+50)/2 = 60, the average speed for Vivian''s''s entire trip must be a bit less than 60. The correct answer is B.” October 3, 2018 GMATGuruNY posted a reply to Tom’s Mom is five times as old as him. In 6 years, Tom’ in the Problem Solving forum “An alternate approach is to PLUG IN THE ANSWERS, which represents Tom''s current age. When the correct answer is plugged in, Mom''s age in 6 years will be 3 times Tom''s age in 6 years. D: Tom = 6 Since Mom is currently 5 times as old as Tom, Mom = 5*6 = 30. Tom''s age in 6 years = 6+6 = 12. ...” 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
GMATGuruNY posted a reply to If 3 different numbers are selected from the first 8 prime n in the Problem Solving forum
“First 8 prime numbers: 2, 3, 5, 7, 11, 13, 17, 19. The sum will be even if 2 is among the three numbers selected, with the result that the sum = EVEN PRIME + ODD PRIME + ODD PRIME = EVEN. Since 3 NUMBERS are selected from 8 OPTIONS, the probability that 2 will be among the three numbers selected = ...”
October 2, 2018
GMATGuruNY posted a reply to In a certain office, 50 percent of the employees are college in the Data Sufficiency forum
“Let T = the total number of employees. Since 60% of the employees are over 40, we get: Over 40 = 0.6T 30% of those over 40 -- in other words, 30% of the expression in blue -- have master''s degrees. Thus: Over 40 with master''s = 0.3(0.6T). To calculate the value of the expression in ...”
October 2, 2018
GMATGuruNY posted a reply to On a 20 mile course, Pat bicycled at an average rate of 30 in the Problem Solving forum
“Since Pat travels at 30 miles per hour for the first 12 minutes -- the equivalent of 1/5 hour -- the distance traveled in the first 12 minutes = (30)(1/5) = 6 miles. Since the remaining 14 miles are traveled at 8 miles per hour, the time to travel the remaining 14 miles = 14/8 = 7/4 hours = 1 hour ...”
October 2, 2018
GMATGuruNY posted a reply to 190 students go to a school bake sale. 95 buy a chocolate in the Problem Solving forum
“Total = Group 1 + Group 2 - Both + Neither Here: Total = 190. Group 1 = 95 who buy chocolate chip. Group 2 = 75 who buy peanut butter. Plugging these values into the equation above, we get: 190 = 95 + 75 - Both + Neither 20 + Both = Neither Neither = 20 + Both. To minimize the value of ...”
October 2, 2018
GMATGuruNY posted a reply to Is x^3-x>0？ in the Data Sufficiency forum
“Question stem, rephrased: Is x³ > x? Statement 1: x > 1 When a positive value greater than 1 is cubed, the result is greater than the original number: x=2 --> 2³ > 2 x=3 --> 3³ > 3 x=4 --> 4³ > 4 In every case, x³ > x. Thus, the answer to the rephrased ...”
October 2, 2018
GMATGuruNY posted a reply to The greatest common factor of 16 and the positive integer n in the Problem Solving forum
“The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Draw a VENN DIGRAM showing where the prime factors of n, 16 and 45 overlap: https://i.postimg.cc/xkyNCFg7/GCF_Venn_n_16_and_45.jpg The diagram implies the following: Since n and ...”
October 2, 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
GMATGuruNY posted a reply to Five letters A, P, P, L and E are listed in a row. How many in the Problem Solving forum
“Good arrangements = total arrangements - bad arrangements. Total arrangements: Number of ways to arrange 5 elements = 5!. But when an arrangement includes IDENTICAL elements, we must divide by the number of ways each set of identical elements can be ARRANGED. The reason: When the ...”
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
GMATGuruNY posted a reply to If a, b, c, d, e are consecutive positive integers such that in the Problem Solving forum
“For any set of consecutive integers, average = median. Let the five integers = 1, 2, 3, 4, 5. Average of 2, 3, 4 and 5 = 3.5. Average of 1, 2, 3, and 4 = 2.5. Difference between the averages = 3.5 - 2.5 = 1. The correct answer is D.”
September 30, 2018
GMATGuruNY posted a reply to If a, b, c, d, e are integers such that a<b<c<d< in the Data Sufficiency forum
“Statement 1: For any set of consecutive integers, average = median. Case 1: 1, 2, 3, 4, 5 Average of 2, 3, 4 and 5 = 3.5. Average of 1, 2, 3, and 4 = 2.5. Difference between the averages = 3.5 - 2.5 = 1. Case 2: 2, 3, 4, 5, 6 Average of 3, 4, 5, and 6 = 4.5. Average of 2, 3, 4 and 5 = ...”
September 30, 2018
GMATGuruNY posted a reply to If x is the greatest common factor of 36 and 96, what is the in the Problem Solving forum
“36 = 2*2*3*3 96 = 2*2*2*2*2*3 GCF = the product of the factors in blue = 2*2*3 = 12. Sum of the digits = 1+2 = 3. The correct answer is B.”
September 30, 2018
GMATGuruNY posted a reply to Bob invested $2000 in fund A and$1000 in fund B. Over the in the Problem Solving forum
“Fund A after 2 years: 2000 + (10% of 2000) + (2)(1% of 2000) = 2000 + 200 + 2(20) = 2240. Fund B after 1 year: 1000 + (30% of 1000) = 1000 + 300 = 1300. Fund B after 2 years: 1300 + (30% of 1300) = 1300 + 390 = 1690. Difference after two years: 2240 - 1690 = 550. The correct answer is ...”
September 30, 2018
GMATGuruNY posted a reply to If a photocopier makes 2 copies in 1313 second, then, at the in the Problem Solving forum
“Using ratios, convert 4 minutes into copies: (4 minutes) * (60 seconds)/(1 minute) * (2 copies)/(1/3 second) = 1440 copies. The correct answer is E.”
September 30, 2018
GMATGuruNY posted a reply to Lindsay can paint 1/x of a certain room in 20 minutes. What in the Problem Solving forum
“Let the room = 20 units. Let x = 4. Since Lindsay paints 1/x of the room in 20 minutes -- the equivalent of 1/3 hour -- Lindsay''s rate = (1/4) * 20 = 5 units per 1/3 hour = 15 units per hour. Since Lindsay and Joseph paint the entire room in 1 hour, their combined rate = 20 units per hour. ...”
September 29, 2018
GMATGuruNY posted a reply to 50% of students' study science and 30% of science students in the Problem Solving forum
“Let the total number of students = 100. Since 50% of the students study science, the number of science students = (50/100)(100) = 50, implying that the number of non-science students = 100-50 = 50. Since 30% of the 50 science students score more than 80%, the number of science students who ...”
September 29, 2018
GMATGuruNY posted a reply to A garden center sells a certain grass seed in 5-pound bags in the Problem Solving forum
“5-pound bags = ($13.85)/5 ≈$3 per pound. 10-pound bags = ($20.43)/10 = more than$2 per pound. 25-pound bags = ($32.25)/25 = less than$1.50 per pound. To minimize the cost, we must maximize the number of 25-pound bags, which offer seed at the lowest price per pound. Two 25-pound bags = 50 ...”
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
GMATGuruNY posted a reply to Which of the following equations is NOT equivalent to in the Problem Solving forum
“If we plug y=-3 into 4x² = y²-9, we get: 4x² = (-3)² - 9 4x² = 0 x = 0. Test x=0 and y=-3 in the answer choices. When the question stem includes the phrase which of the following, the correct answer is likely to be D or E. D: 2x = y-3 Plugging in x=0 and y=-3, we get: 2*0 = -3-3 0 = ...”
September 28, 2018
GMATGuruNY posted a reply to If non- negative integers n & p are not both odd, in the Problem Solving forum
“If n=p=0, options A, B, C and D each yield a even value, indicating that these options do NOT have to be odd. Eliminate A, B, C and D. The correct answer is E.”
September 28, 2018
GMATGuruNY posted a reply to Is |x+y|<|x|+|y|? in the Data Sufficiency forum
“Since an absolute value cannot be negative, both sides of the question stem are NONNEGATIVE, enabling us to safely square the inequality: (|x+y|)²< (|x|+|y|)² x² + y² + 2xy < x² + y² + 2|x||y| xy < |xy| The resulting inequality is valid only if x and y have DIFFERENT SIGNS. ...”
September 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to The usage of sugar of a family of 3 adults and 2 children in the Problem Solving forum
“Hi All, We''re told that the usage of sugar of a family of 3 adults and 2 children was 13 kg in a certain month and the monthly AVERAGE usage of sugar for an adult is 3 kg and for a child is 1 kg. We''re asked by what percent THIS specific month’s sugar consumption was more or less than the ...”
September 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to A lecture course consists of 595 students. The students are in the Problem Solving forum
“Hi All, We''re told that a lecture course consists of 595 students and that the students are to be divided into discussion sections, each with an EQUAL number of students. We''re asked which of the following CANNOT be the number of students in a discussion section. This question is really just ...”
September 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to If x and y are different prime numbers, each greater than 2, in the Problem Solving forum
“Hi All, We''re told that a X and Y are DIFFERENT PRIME numbers, each GREATER than 2. We''re asked which of the following must be true (which really means "which of these is ALWAYS true no matter how many different examples you can come up with?"). This question can be solved used ...”
September 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to A certain liquid passes through a drain at a rate of w/20 ga in the Problem Solving forum
“Hi All, We''re told that a certain liquid passes through a drain at a rate of W/20 gallons every X SECONDS. We''re asked how many MINUTES it would take Y gallons to pass through the drain. This question can be solved in a number of different ways, including by TESTing VALUES. IF.... W=20 ...”
September 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to Time for me to Stop Studying on my Own? - GMAT Quant Help in the GMAT Math forum
“Hi andyaf, To start, a 500 is a decent initial CAT Score (the average Score on the Official GMAT hovers around 550 most years). That having been said, it will take a LOT of work to raise a 500 to 750+, and you''ll have to make significant improvements to how you handle BOTH the Quant and ...”
September 27, 2018
GMATGuruNY posted a reply to The shaded portion of the rectangular lot shown above in the Problem Solving forum
“ALWAYS KEEP YOUR EYES ON THE ANSWER CHOICES. C, D and E imply that the flower bed is probably a 6-8-10 triangle in which y=6, x = y+2 = 6+2 = 8, and z=10. Check whether this triangle satisfies the condition that the flower bed has an area of 24 square yards: Area of a 6-8-10 triangle = ...”
September 27, 2018
GMATGuruNY posted a reply to Anna wants to distribute chocolates among her four children in the Problem Solving forum
“Let the total number of chocolates = the LCM of the four denominators 2, 5, 6 and 12 = 60. Number of chocolates given to the four children: (1/2)(60) = 30 (1/5)(60) = 12 (1/6)(60) = 10 (1/12)(60) = 5 Total number of chocolates = 30+12+10+5 = 57. The correct answer is C.”
September 27, 2018
GMATGuruNY posted a reply to In 2004, 2,400 condos sold, 15% of the total housing units in the Problem Solving forum
“Of the units sold, non-condos constitute 85% = 85/100 = 17/20. Implication: Of every 20 units sold, 17 are non-condos, with the result that the number of non-condos must be a multiple of 17. A. 16000 B. 13600 C. 12400 D. 11200 E. 8600 Only the portion in green is a multiple of 17: ...”
September 27, 2018
GMATGuruNY posted a reply to If the probability of Ronaldo will score at least 3 goals in in the Problem Solving forum
“Let G = at least 3 goals and NG = not at least 3 goals. Let W = win the match and NW = not win the match. Use a DOUBLE-MATRIX to organize the data: https://i.postimg.cc/JHLj6Tyr/matrix_goals_wins_0.png The probability that Ronaldo will score at least 3 goals in the match is 0.59. The ...”
September 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to At a dinner party 5 people are to be seated around a in the Problem Solving forum
“Hi All, We''re told that 5 people are to be seated around a circular table and that two sitting arrangements are considered different only when the positions of the people are different relative to each other. We''re asked for the total number of possible sitting arrangements of the group. ...”
September 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to In Dives Corporation, 75% of the employees are customer in the Problem Solving forum
“Hi All, We''re told that in the Dives Corporation, 75% of the employees are customer service representatives, 15% are programmers, and 10% are managers, the customer service representatives have an average salary of $60,000, and the programmers have an average salary of$100,000. We''re asked if ...”
September 26, 2018
GMATGuruNY posted a reply to A set of numbers has an average of 50. If the largest elemen in the Problem Solving forum
“Let S = the smallest number of L = the largest number. Since the largest number is 4 more than 3 times the smallest number, we get: L = 3S + 4 L-4 = 3S (L-4)/3 = S. Since the average is 50 -- and the numbers are not all the same -- S must be LESS THAN 50, while L must be greater than 50. ...”
September 26, 2018
GMATGuruNY posted a reply to What is the sum of the solutions of the equation (x-1)^2=|x- in the Problem Solving forum
“If we replace x-1 with a, we get: a² = |a|. The resulting equation is valid only if a -- in other words, the value of x-1 -- is equal to -1, 0, or 1: x-1 = -1 --> x=0 x-1 = 0 ---> x=1 x-1 = 1 ---> x=2 Sum of the solutions = 0+1+2 = 3. The correct answer is E.”
September 26, 2018
GMATGuruNY posted a reply to If H = [(x^3) - 6(x^2) - x + 30] / (x-5)and x ≠ 5, then H in the Problem Solving forum
“Let x=0, with the result that H = 30/-5 = -6. Now plug x=0 in the answers to see which yields a value of -6. Only A works: x² - x - 6 = 0² - 0 - 6 = -6. The correct answer is A.”
September 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to In the xy-plane, if line k has negative slope, is the in the Data Sufficiency forum
“Hi All, We''re told that in the xy-plane, Line K has NEGATIVE slope. We''re asked if the y-intercept of Line K is positive. This is a YES/NO question. It can be solved in a couple of different ways, including by TESTing VALUES. To start, with a negative slope, BOTH the x-intercept and ...”
September 25, 2018
Rich.C@EMPOWERgmat.com posted a reply to 12 years out of college, GMAT study plan? in the GMAT Strategy forum
“Hi KDR83, That''s great news - especially considering the time off you took over the Summer. To clarify things a bit though, was this a CAT that you had taken before (or did you see any questions on it that you had previously answered?)? GMAT assassins aren''t born, they''re made, Rich”
September 25, 2018
GMATGuruNY posted a reply to Robin split a total of $24,000 between 2 investments, X and in the Data Sufficiency forum “Statement 1: Test one case that also satisfies Statement 2. Case 1: X = 5% and Y = 7% For 5% interest and 7% percent interest to yield the same dollar amount,$7 must be invested at 5% interest for every $5 invested at 7% interest: X -->$7(0.05) = $0.35. Y -->$5(0.07) = $0.35. Thus: ...” September 25, 2018 GMATGuruNY posted a reply to In how many ways four men, two women and one child can sit a in the Problem Solving forum “Once the child has been placed at the table: Number of ways to arrange the 2 women in the 2 seats adjacent to the child = 2! = 2. Number of ways to arrange the 4 men in the remaining 4 seats = 4! = 24. To combine these options, we multiply: 2*24 = 48. The correct answer is C.” September 24, 2018 Rich.C@EMPOWERgmat.com posted a reply to Machine A and Machine B can produce 1 widget in 3 hours work in the Problem Solving forum “Hi All, This question is a bit more complex than a typical Work question, but you can still use the Work Formula to solve it. Work = (A)(B)/(A+B) where A and B are the speeds of the two individual machines From the prompt, we know that Machine A and Machine B, working together, can produce ...” September 24, 2018 Rich.C@EMPOWERgmat.com posted a reply to If six coins are flipped simultaneously, the probability of in the Problem Solving forum “Hi All, We''re told that six coins are flipped simultaneously. We''re asked which probability is closest to getting AT LEAST one heads and AT LEAST one tails. This question comes down to a bit of probability math (which is essentially just about doing the necessary Arithmetic). With 6 coins, ...” September 24, 2018 Rich.C@EMPOWERgmat.com posted a reply to A conference room has two analog (12-hour format) clocks, in the Problem Solving forum “Hi All, We''re told that a conference room has two analog (12-hour format) clocks, one on the north wall and one on the south wall; the clock on the north wall LOSES 30 seconds per HOUR, and the clock on the south wall GAINS 15 seconds per HOUR. We''re asked, if the clocks begin displaying the ...” September 24, 2018 Rich.C@EMPOWERgmat.com posted a reply to A seller sold two shoes at the same selling price. If the in the Problem Solving forum “Hi All, We''re told that a seller sold two shoes at the SAME selling price; the percentage profit on one of the shoes was 30% and the percentage loss on the other shoe was 30%. We''re asked for the overall percentage profit or loss made by the seller. This question can be solved by TESTing ...” September 24, 2018 GMATGuruNY posted a reply to W, X, Y and Z each represent a different number. If the sum in the Problem Solving forum “Sum of all 4 rows = 3 + 6 + 9 + 0 = 18. Sum of all 4 columns = -2 + 7 + n + 5 = n + 10. The values in blue must be EQUAL, since each represents the sum of all 16 values in the table. Thus: n+10 = 18 n=8. The correct answer is C.” September 24, 2018 GMATGuruNY posted a reply to How many 3 digit numbers can we make such that two of the in the Problem Solving forum “Number of digit options for the repeated digit = 9. (Any digit but 0.) Number of digit options for the non-repeated digit = 8. (Any digit but 0 and the digit already used.) Number of position options for the non-repeated digit = 3. (The hundreds place, the tens place, or the units place.) To ...” September 24, 2018 GMATGuruNY posted a reply to Is 10m > 5n - k? in the Data Sufficiency forum “Statement 1: n=2m Substituting n=2m into 10m > 5n-k, we get: 10m > 5(2m) - k ? 10m > 10m - k ? 0 > -k ? k > 0 ? No way to determine whether k>0. INSUFFICIENT. Statement 2: |k| = -k This equation is valid only if k≤0. No information about m or n. INSUFFICIENT. ...” September 23, 2018 GMATGuruNY posted a reply to Machine A and Machine B can produce 1 widget in 3 hours work in the Problem Solving forum “Algebra: Machine A and Machine B can produce 1 widget in 3 hours working together at their respective constant rates. (A+B)(3) = 1 widget. If Machine A''s speed were doubled, the two machines could produce 1 widget in 2 hours working together at their respective rates. (2A+B)(2) = 1 widget. ...” September 23, 2018 GMATGuruNY posted a reply to Machine A and Machine B can produce 1 widget in 3 hours work in the Problem Solving forum “We can PLUG IN THE ANSWERS, which represent A''s time to produce 1 widget. Since A and B working together take 3 hours to produce 1 widget, A working alone must take MORE than 3 hours. Eliminate A, B and C. Let the value of each widget = 30 units. Since A and B together take 3 hours to produce ...” September 23, 2018 GMATGuruNY posted a reply to In an office that employs 120 people, m% of the employees in the Data Sufficiency forum “Use a DOUBLE-MATRIX to organize the data. Statements combined: Case 1: m=25% and c=25% Total number of males = (25/100)(120) = 30. Total number of custodial employees = (25/100)(120) = 30. The following matrix is yielded: https://i.postimg.cc/H88Lq5zN/matrix_custodial_1.png In this case, ...” September 22, 2018 GMATGuruNY posted a reply to In these difficult economic times, those who have---Veriats in the Sentence Correction forum “The default referent for a subject pronoun is the subject of the preceding INDEPENDENT CLAUSE. A: Those who have public pensions are being pursued strongly by pension advance companies that operate without much oversight from banking regulators, but they are now drawing scrutiny. Here, the default ...” September 21, 2018 GMATGuruNY posted a reply to GMATPREP Question - what is the subject in the Sentence Correction forum “This interpretation is not valid. The comparative in blue is clearly an ADJECTIVE describing a city.. Since as big as refers not to China but to A CITY. no comparison between China and Singapore is implied. The sentence unambiguously compares A CITY to Singapore, as discussed below. ...” September 21, 2018 Rich.C@EMPOWERgmat.com posted a reply to clarification on GMAT 2016 DS problem in the Data Sufficiency forum “Hi All, We''re told that a taxi company charges F cents for the first mile of the taxi ride and M cents for each additional mile. We''re asked how much the company charges for a 10 mile taxi ride. This question can be solved with a mix of Algebra and TESTing VALUES. 1) The company charges ...” September 21, 2018 GMATGuruNY posted a reply to If m > 0, y > 0, and x is m percent of 2y, then, in te in the Problem Solving forum “Let y=100, implying that 2y = 200. Let m=100. x is m percent of 2y. Since m=100 and 2y=200, x = 100% of 200 = 200. m is what percent of x? m/x = 100/200 = 1/2 = 50%. This is our target. Now plug y=100 into the answers to see which yields the target value of 50. Only E works: 5000/y = ...” September 21, 2018 GMATGuruNY posted a reply to If 7 < m < 11 and −2 < n < 5, then which of th in the Problem Solving forum “To determine the lower limit and the upper limit of mn, calculate mn using every combination of endpoints (7 and 11 for m, -2 and 5 for n): mn = (7)(-2) = -14. mn = (7)(5) = 35. mn = (11)(-2) = -22. mn = (11)(5) = 55. The LOWER limit is the LEAST of the results above: -22. The UPPER ...” September 21, 2018 GMATGuruNY posted a reply to The square ACEG shown below has an area of 36 units squared. in the Problem Solving forum “Almost no math is needed here. Answer choice A implies the following: BCD is a 45-45-90 triangle in which each leg has a length of 1. DEF is a 45-45-90 triangle in which each leg has a length of 5. Answer choice E implies the following: BCD is a 45-45-90 triangle in which each leg has a ...” September 20, 2018 GMATGuruNY posted a reply to If Albert can travel 200 miles in 4 hours, how many hours in the Problem Solving forum “Since Albert travels 200 miles in 4 hours, his rate = 200/4 = 50 mph. When the correct answer is divided into 350 miles, the resulting rate must be 50 mph. Only C works: 350/7 = 50. The correct answer is C.” September 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to If 12 men and 16 women can do a piece of work in 5 days and in the Problem Solving forum “Hi All, We''re told that 12 men and 16 women can do a piece of work in 5 days and 13 men and 24 women can do it in 4 days. We''re asked how long it will take 7 men and 10 women to complete that same task. This question can be approached in a couple of different ways (some of which involve a lot ...” September 20, 2018 GMATGuruNY posted a reply to In four years, Andy will be twice as old as Betsy. How old in the Data Sufficiency forum “In four years, Andy will be twice as old as Betsy. Since Andy''s age in 4 years is twice Betsy''s age in 4 years, we get: A+4 = 2(B+4) A+4 = 2B+8 A-2B = 4. Statement 1: Since Andy''s age 4 years ago is twice Betsy''s current age, we get: A-4 = 2B A-2B = 4. Same equation as given in the ...” September 20, 2018 GMATGuruNY posted a reply to How many multiples of 33 lie between 101 and 1,000, inclusiv in the Problem Solving forum “Since 1000 - 101 ≈ 900 -- and the answer choices are a bit spread out -- we can count the multiples of 33 simply by dividing 33 into 900: 900/33 = 300/11 = a bit more than 27. Thus, there are 27 multiples of 33 between 101 and 1000. The correct answer is B.” September 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to The Malibu Country Club needs to drain its pool for in the Problem Solving forum “Hi All, We''re told that a The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per MINUTE, the pool is 80 feet wide by 150 feet long by 10 feet deep and is currently at 80% full. We''re asked how long it will, in HOURS, ...” September 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to Bobby bought 2 shares, and which he sold for$96 each. If he in the Problem Solving forum
“Hi All, We''re told that Bobby bought 2 shares, which he sold for $96 each, he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share. We''re asked to find the TOTAL profit or loss on the sale of the two shares. This question essentially comes down ...” September 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to A driver paid n dollars for auto insurance for the year in the Problem Solving forum “Hi All, We''re told that a driver paid N dollars for auto insurance for the year 1997. This annual premium was raised by P percent for the year 1998, then for EACH of the years 1999 and 2000, the premium was decreased by 1/6 from the previous year’s figure, leaving the driver’s insurance ...” September 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to If a mixture of ground meat consists of 2 pounds of veal in the Problem Solving forum “Hi All, We''re told that a mixture of ground meat consists of 2 pounds of veal that costs X dollars per pound, and 5 pounds of beef that costs Y dollars per pound. We''re asked for the cost, in dollars, per pound of the mixture. This question can be approached in a number of different ways, ...” September 20, 2018 GMATGuruNY posted a reply to Comparison - GMAT paper test in the Sentence Correction forum “OA: A neutron star, as small as 12 miles in diameter but containing half as much matter as the Sun, has a gravitational force at its surface about 67 billion times greater than that on Earth. The green portion conveys the following meaning: The words in brackets are omitted so that the green ...” September 19, 2018 GMATGuruNY posted a reply to Rasheed bought two kinds of candy bars, chocolate and toffee in the Data Sufficiency forum “I believe that the problem has been transcribed incorrectly. Statement 1 should indicate that Rasheed bought not 2 fewer packages but only 1 fewer package, as shown in the following screen shot: https://i.postimg.cc/t7bcm77Z/rasheed_Gprep-ds-2.jpg If we know the number of chocolate BARS that ...” September 19, 2018 GMATGuruNY posted a reply to √3-2|+|3-√2|+|5+√3|+|1-√2|=? in the Problem Solving forum “|a-b| = the distance between a and b. |a+b| = |a-(-b| = the distance between a and -b. |√3-2| + |3-√2| + |5+√3| + |1-√2| = |5+√3| + |√3-2| + |1-√2| + |3-√2| = |√3+5| + |√3-2| + |1-√2| + |3-√2| = |√3-(-5)| + |√3-2| + |1-√2| + |3-√2| The red terms ...” September 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to Which of the following decribes all values of n for which in the Problem Solving forum “Hi All, We''re asked which of the following describes all values of N for which (N^2 - 1) is greater than or equal to 0. This question can be solved in a couple of different ways, but you might find it easiest to TEST VALUES. Since we''re SQUARING the value of N, we know that there will be ...” September 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to A basket contains 5 apples, of which 1 is spoiled and the in the Problem Solving forum “Hi All We''re told that we have 4 regular apples and 1 spoiled apple. We''re asked - if you grab 2 apples, then what''s the probability of getting the spoiled apple? The question can be solved in a couple of ways. Here''s how to track each of the different outcomes that matches what we''re ...” September 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to Oscar is running in a straight line away from Nancy at the in the Problem Solving forum “Hi All, We''re told that Oscar is running in a straight line away from Nancy at the rate of 20 feet per second, Nancy is chasing Oscar at the rate of 25 feet per second and Oscar has a 100-foot head start. We''re asked for the number of seconds it will it take Nancy to catch Oscar. This is an ...” September 19, 2018 GMATGuruNY posted a reply to On the number line shown, the distance between 0 and a, a in the Problem Solving forum “In the number line shown, the distance between 0 and a, a and b, and a and c is in the ratio of 1:2:3. To determine the ratio of a to b to c, TEST AN EASY CASE. Let a=1. Since a is ONE PLACE to the right of 0, b must be TWO PLACES to the right of a (implying that b=3), while c must be THREE ...” September 18, 2018 GMATGuruNY posted a reply to If 12 men and 16 women can do a piece of work in 5 days and in the Problem Solving forum “Let M = the rate for each man and W = the rate for each woman. The TIME RATIO for 12 men and 16 women to 13 men and 24 women is 5 days to 4 days. Since time and rate are RECIPROCALS, the RATE RATIO for 12M+16W and 13M+24W is equal to the reciprocal of the time ratio: (12M+16W)/(13M+24W) = ...” September 18, 2018 GMATGuruNY posted a reply to A certain investment grows at an annual interest rate of 8%, in the Problem Solving forum “When a value increases repeatedly by r%: Final amount = Original amount * (1 + r/100)^number of changes. Let original amount = 1. Since the original amount increases by a factor of 16: Final amount = 16. Since the investment increases by 2% every quarter: r = 2. Since x = the number of ...” September 18, 2018 Rich.C@EMPOWERgmat.com posted a reply to In each of five taste tests, each of 51 participants chose in the Data Sufficiency forum “Hi All, We''re told that in each of 5 taste tests, each of 51 participants chose either Brand X or Brand Y. The brand chosen by the majority of participants in a taste test was the winner of that taste test, and the brand that won the majority of the taste tests was deemed the better brand. ...” September 17, 2018 Rich.C@EMPOWERgmat.com posted a reply to Two gardeners, Burton and Philips in the Problem Solving forum “Hi All, We''re told that two gardeners, Burton and Philips, work at independent constant rates to prune a garden full of roses. If both gardeners start at the same time and work at their normal rates, they will complete the job in 45 minutes. However, if Philips were to work at TWICE Burton''s ...” September 17, 2018 Rich.C@EMPOWERgmat.com posted a reply to Going in to the last game of his basketball season, Adrian in the Problem Solving forum “Hi All, We''re told that going in to the last game of his basketball season, Adrian had averaged 24 points per game and in his last game, he scored 50 points (bringing his average to 26 points per game for the season). We''re asked for the TOTAL number of games Adrian played that season. This ...” September 17, 2018 Rich.C@EMPOWERgmat.com posted a reply to Grandmother's Punch hangover cure is a mix of two in the Problem Solving forum “Hi All, We''re told that Grandmother''s Punch hangover cure is a mix of two ingredients: a herbal extraction that contains 20% alcohol and apricot cider that contains 5% alcohol. We''re asked if a 750-milliliter Grandmother''s Punch bottle has 87 milliliters of alcohol, how much apricot cider ...” September 17, 2018 GMATGuruNY posted a reply to Grandmother's Punch hangover cure is a mix of two in the Problem Solving forum “We can PLUG IN THE ANSWERS, which represent the amount of cider. When the correct answer is plugged in, the amount of alcohol in the 750 ml bottle = 87 ml. Since the alcohol percentage in the cider = 5% = 1/20, the correct answer is almost certain to be a multiple of 20. Of the five answer ...” September 17, 2018 Rich.C@EMPOWERgmat.com posted a reply to What is the perimeter of isosceles triangle LMN? 1) Side LM in the Data Sufficiency forum “Hi All, We''re told that triangle LMN is an isosceles triangle. We''re asked for the PERIMETER of that triangle. 1) Side LM has a length of 4 With the information in Fact 1, we know that one (or possibly two) of the sides of this isosceles triangle, but we don''t know all 3 sides, so ...” September 17, 2018 GMATGuruNY posted a reply to A tank has 5 inlet pipes. Three pipes are narrow and two are in the Problem Solving forum “Let the rate of each wide pipe = 2 liters per hour. Combined rate for 2 wide pipes = 2*2 = 4 liters per hour. Since each narrow pipe works at 1/2 the rate of each wide pipe, the rate of each narrow pipe = (1/2)(2) = 1 liter per hour. Combined rate for 3 narrow pipes and 2 wide pipes = (3*1) + ...” September 16, 2018 GMATGuruNY posted a reply to Gunther, the pizza delivery boy, went out from the store in the Problem Solving forum “Average = sum/quantity. In this case: Average speed = (sum of the minutes spent at each speed)/(total number of minutes). Total time spent at 15mph = 30 minutes. Total time spent delivering pizzas at 0mph = 30 minutes. Total time spent at 30mph = 15 minutes. Average speed = (15*30 + 0*30 + ...” September 15, 2018 GMATGuruNY posted a reply to A basket contains 5 apples, of which 1 is spoiled and the in the Problem Solving forum “P(spoiled apple is selected) = 1 - P(spoiled apple is NOT selected). P(1st apple is not spoiled) = 4/5. (Of the 5 apples, 4 are not spoiled). P(2nd apple is not spoiled) = 3/4. (Of the 4 remaining apples, 3 are not spoiled). Since we want both events to happen, we multiply the fractions: ...” September 15, 2018 GMATGuruNY posted a reply to Point P is the point of the circle x^2 + y^2 -2x -4y = 4 wit in the Problem Solving forum “(x-h)² + (y-k)² = r² is a circle with a center at (h, k) and a radius of r. x² + y² - 2x - 4y = 4 x² - 2x + y² - 4y = 4 x² - 2x + 1 + y² - 4y + 4 = 4 + 1 + 4 (x-1)² + (y-2)² = 9 (x-1)² + (y-2)² = 3³ The equation above constitutes a circle with a center at (1, 2) and a ...” September 14, 2018 Rich.C@EMPOWERgmat.com posted a reply to A zebra must get water from either a stream or pond. Which in the Data Sufficiency forum “Hi All, We''re told that a zebra must get water from either a stream or pond. We''re asked which of the two sources of water is closer to the zebra’s current position. 1) Moving at a constant rate, it takes the zebra 2 hours to reach the stream from its current position. Fact 1 tells ...” September 14, 2018 Rich.C@EMPOWERgmat.com posted a reply to Taking the GMAT in four days. Need advice calming my nerves in the GMAT Strategy forum “Hi Varun, In these last few days, you should NOT try to do too much work (NO ''cramming" and NO CATs). You would be best served by doing some general review and keeping your studies light. Try to get some extra rest so that you can go into Test Day calm, clear-headed and ready to work. As ...” September 14, 2018 GMATGuruNY posted a reply to At what speed was Erik running when he was at the halfway in the Data Sufficiency forum “Statements combined: Each statement conveys the same information: that the average speed for the whole trip was 5 miles per hour. The AVERAGE speed for the whole trip does not constrain the speed AT THE HALWAY POINT. At the halfway point, the speed could be ANY NONNEGATIVE VALUE. Thus, the ...” September 13, 2018 GMATGuruNY posted a reply to (1^2+2^2+3^3+…+20^2) / (1+2+3+ …+20)=? in the Problem Solving forum “The answer choices represent the ratio between the numerator and the denominator of the given expression. Option A implies that the numerator is about 14 times the denominator Option B implies that the numerator is less than 7 times the denominator. Option C implies that the numerator is 41 times ...” September 13, 2018 GMATGuruNY posted a reply to (1^2+2^2+3^3+…+20^2) / (1+2+3+ …+20)=? in the Problem Solving forum “Since the answer choices are very spread out, we can BALLPARK -- and we can be somewhat lax with our estimations. Numerator: If the 11 greatest terms were 10²=100, the sum of the 11 greatest terms = 11*100 = 1100. If the 11 greatest terms were 20²=400, the sum of the 11 greatest terms = ...” September 13, 2018 GMATGuruNY posted a reply to If the interior angles of a triangle are in the ratio 3 to in the Problem Solving forum “The sum of the 3 angles of a triangle = 180. The sum of the parts of the ratio = 3+4+5 = 12. Since 180/12 = 15, the multiplier for the ratio is 15, implying that the largest angle = 5*15 = 75. The correct answer is D.” September 12, 2018 GMATGuruNY posted a reply to During a one day sale, a store sold each sweater of a in the Data Sufficiency forum “Statement 1: Case 1: 1 sweater is sold for$270 Case 2: 3 sweaters are sold for $90 each Since the number of sweaters sold can be different values, INSUFFICIENT. Statement 2: Since the$30 markup is 1/2 the cost of each sweater, the cost of each sweater = 60. Thus, the selling price of ...”
September 12, 2018
GMATGuruNY posted a reply to Three boys are ages 4, 6 and 7 respectively. Three girls are in the Problem Solving forum
“Since only a few cases are possible, we can list them out: 4+6+5+8 = 23 4+6+5+9 = 24 4+6+8+9 = 27 4+7+5+8 = 24 4+7+5+9 = 25 4+7+8+9 = 28 6+7+5+8 = 26 6+7+5+9 = 27 6+7+8+9 = 30 Of the 9 cases above, the four in red are ODD, implying that the remaining five cases are EVEN. Since 5/9 of ...”
September 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to Each baseball team in a league has a roster of players in in the Problem Solving forum
“Hi All, We''re told that each baseball team in a league has a roster of players in the ratio of 2 pitchers for every 3 fielders, each team has a total of 25 players on its roster and there are 12 total teams in the league. We''re asked for the DIFFERENCE between the total number of fielders and ...”
September 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to A certain library assesses fines for overdue books as in the Problem Solving forum
“Hi All, This question includes a ''conditional statement'' that effects how you''re supposed to handle each "step" in the math: "for each additional day....., the total fine is EITHER increased by 30 cents OR doubled, whichever results in the LESSER AMOUNT." Since ...”
September 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to Kevin drove from A to B at a constant speed of 60 mph. Once in the Problem Solving forum
“Hi All, We''re told that Kevin drove from A to B at a constant speed of 60 mph, then he turned right around without pause, and returned to A at a constant speed of 80 mph. In addition, exactly 4 hours before the end of his trip, he was STILL approaching B, only 15 miles away from it. We''re ...”
September 12, 2018
GMATGuruNY posted a reply to The perimeter of a rectangular garden is 360 ft. What is the in the Data Sufficiency forum
“The GRE is administered by ETS, which also used to administer the GMAT. The GRE Quantitative Guide states that any side of a triangle or parallelogram can be used as a base. The GMAT is likely to abide by this definition. But the terms length and long seem to connote a different meaning when ...”
September 11, 2018
GMATGuruNY posted a reply to The perimeter of a rectangular garden is 360 ft. What is the in the Data Sufficiency forum
“Definitions of length: Merriam-Webster: The LONGER OR LONGEST dimension of an object. American Heritage: The measurement of something along its GREATEST dimension.”
September 11, 2018
GMATGuruNY posted a reply to a family has 5 children, what is the probability that there in the Problem Solving forum
“The problem should make clear that P(boy) = P(girl) = 1/2: P(exactly n times) = P(one way) * total possible ways. Let B = boy and G = girl. P(one way): One way to get exactly 3 boys and 2 girls is BBBGG. P(BBBGG) = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32. Total possible ways: Any ...”
September 11, 2018
GMATGuruNY posted a reply to The sum of the ages of Doris and Fred is y years. If Doris in the Problem Solving forum
“Since Doris is 12 years older than Fred, let Fred = 2 and Doris = 2+12 = 14. y = sum of their ages = 2+14 = 16. Since Fred = 2 and y=16, Fred''s age y years from now = 2+16 = 18. This is our target. Now plug y=16 into the answers to see which yields the target value of 18. Only D works: 3y/2 - ...”
September 11, 2018
GMATGuruNY posted a reply to The rate of a certain chemical reaction is directly in the Problem Solving forum
“The trick is translate the chemical relationship into the following equation: R = A²/B Here''s why the equation above works: 1)The problem states that R is directly proportional to A². Directly proportional means that as one value increases, the other value also increases by a ...”
September 10, 2018
GMATGuruNY posted a reply to In a certain pond, 50 fish were caught, tagged, and returned in the Problem Solving forum
“Of the 50 fish caught in the second catch, 2 were tagged: 2/50 = 4/100 = 4%. Since the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, the total number of tagged fish -- 50 -- must be equal to about 4% of the total number of fish in the pond: 50 = ...”
September 10, 2018
GMATGuruNY posted a reply to If 5^{m-2}2^{m+2} is an n-digit integer, where m is an inte in the Problem Solving forum
“Since m=2 will yield an integer value for the given expression and will make the math easier, ignore the condition that m>2 and let m=2. Plugging m=2 into 5^(m-2) * 2^(m+2), we get: 5⁰2⁴ = 1*16 = 16. Since the result is a 2-digit integer, n=2. The correct answer must work for n=m=2. Only ...”
September 10, 2018
GMATGuruNY posted a reply to Sam's car was fined when he gave Joe and Peter a ride, so in the Problem Solving forum
“Thanks for the heads up. I''ve revised my post accordingly.”
September 9, 2018
GMATGuruNY posted a reply to What is the probability of n(n+1)(n+2) being evenly divisibl in the Data Sufficiency forum
“Statement 1: Since n is an integer, n(n+1)(n+2) = the product of 3 consecutive integers. WRITE IT OUT and LOOK FOR A PATTERN. 1*2*3 2*3*4 3*4*5 4*5*6 5*6*7 6*7*8 7*8*9 8*9*10 9*10*11 10*11*12 11*12*13 12*13*14 13*14*15 14*15*16 15*16*17 16*17*18 Each of the products in red ...”
September 9, 2018
GMATGuruNY posted a reply to Twenty-four men can complete a work in sixteen days.Thirty in the Problem Solving forum
“Let the rate for each man = 1 widget per day, implying that the rate for 24 men = 24 widgets per day. Since 24 men complete the job in 16 days, the total amount of work = rt = 24*16 widgets. Since 32 women require 24 days, the rate for 32 women = w/t = (24*16)/24 = 16 widgets per day. Since ...”
September 9, 2018
GMATGuruNY posted a reply to Sam's car was fined when he gave Joe and Peter a ride, so in the Problem Solving forum
“Given that the answers choices are integers, I believe that the following reflects the problem''s intent: The three fractions in the prompt -- 1/4, 1/3 and 1/2 -- imply that the fine must be divisible by 4, 3 and 2. Smallest possible case: Total fine = 4*3*2 = 24. Since Sam paid $4 less ...” September 9, 2018 GMATGuruNY posted a reply to GMATPREP Question - what is the subject in the Sentence Correction forum “Option B for SC18 in the OG12: Plants are more efficient at acquiring carbon than fungi. Logical interpretation 1: Plants are more efficient at acquiring carbon than Logical interpretation 2: Plants are more efficient at acquiring carbon than fungi Since B allows for more than one logical ...” September 8, 2018 GMATGuruNY posted a reply to The bear alarm at Grizzly's Peak ski resort sounds an in the Problem Solving forum “The alarm sounds for 3 of EVERY 4 BEARS that actually appear, If 4 bears appear, then the number of alarms = 3. Since the alarm sounds only 3 times for 4 bears, 1 of these 4 bears is undetected. Since there are 10 false alarms for every 1 undetected bear, the number of false alarms = 10. Thus, ...” September 7, 2018 GMATGuruNY posted a reply to If a mixture of ground meat consists of 2 pounds of veal in the Problem Solving forum “The answer choices represent the price per pound: (total cost)/(total number of pounds). Since 7 pounds are purchased, the correct answer must have a denominator of 7. A, C and D lack denominators and thus can be eliminated. Since the denominator in B does not have to be 7, eliminate B. The ...” September 7, 2018 GMATGuruNY posted a reply to How many hours did it take Dale to drive from A-town to B-to in the Data Sufficiency forum “Statement 1: Time and rate have a RECIPROCAL relationship. 3 TIMES AS FAST implies 1/3 THE TIME. Thus, the 2 hours that would be spent traveling 3 times as fast must be equal to 1/3 the actual time: 2 = (1/3)t t = 6 hours. SUFFICIENT. Statement 2: Here, the time can be any nonnegative ...” September 7, 2018 GMATGuruNY posted a reply to A palindrome is a number that reads the same forward and in the Problem Solving forum “Number of options for the units digit = 5. (1, 3, 5, 7, or 9.) Number of options for the thousands digit = 1. (Must be the same as the units digit.) Number of options for the hundreds digit = 10. (Any of the digits 0-9.) Number of options for the tens digit = 1. (Must be the same as the hundreds ...” September 7, 2018 GMATGuruNY posted a reply to Last year the price per share of Stock X increased by k in the Problem Solving forum “Original ratio: Let the original price = 1 and the original earnings = 1. Resulting ratio: price/earnings = 1/1 = 1. New ratio: Let k=200 and m=100. Since the price increases by k=200%, the new price = 1 + (200/100)(1) = 3. Since the earnings increase by m=100%, the new earnings = ...” September 6, 2018 GMATGuruNY posted a reply to What is the sum of roots of the equation x^2 – 40x + 399 = in the Problem Solving forum “For any quadratic in the form x² + bx + c = 0: Sum of the roots = -b. Product of the roots = c. In the given quadratic, b = -40. Thus, the sum of the roots = -b = -(-40) = 40. The correct answer is D.” September 6, 2018 GMATGuruNY posted a reply to If 3x + 2y = -2z, what is x? in the Data Sufficiency forum “Prompt: 3x + 2y + 2z = 0 Statement 1: Multiplying by 2, we get: 2x - 2y - 2z = 20 Adding together 3x+2y+2z=0 and 2x-2y-2z=20, we get: (3x+2y+2z) + (2x-2y-2z) = 0 + 20 5x=20 x=4. SUFFICIENT. Statement 2: Multiplying by 2, we get: 2x + 2y + 2z = -4 Subtracting 2x+2y+2z = -4 from ...” September 6, 2018 GMATGuruNY posted a reply to A and B can complete a task in 20 days. B and C can complete in the Problem Solving forum “Alternate approach: Let the job = 240 units. Since A+B take 20 days to complete the 240-unit job, A+B = 240/20 = 12 units per day. Since B+C take 30 days to complete the 240-unit job, B+C = 240/30 = 8 units per day. Since A+C take 40 days to complete the 240-unit job, A+C = 240/40 = 6 units ...” September 6, 2018 GMATGuruNY posted a reply to If r is a positive integer, n=r^3 and 4,14, and 27 are facto in the Problem Solving forum “Since 4, 14 and 27 are all factors of n, the prime-factorization of n must include 2*2, 2*7 and 3*3*3. n = r³ implies that n is a perfect cube. The prime-factorization of a perfect cube must include at least 3 of each prime factor. Thus, the prime-factorization of n must include at least three ...” September 5, 2018 GMATGuruNY posted a reply to If x and y are integers, what is the least possible positive in the Problem Solving forum “Make a list of integer options for |21x| and |35y|: |21x| = 0, 21, 42, 63, 84, 105... |35y| = 0, 35, 70, 105... The smallest positive sum is yielded in the following cases: 21x = 42 and 35y = -35, with the result that 21x + 35y = 42 - 35 = 7 21x = -63 and 35y = 70, with the result that 21x + ...” September 4, 2018 GMATGuruNY posted a reply to absolute value in the Data Sufficiency forum “if a < y < z < b , is |y-a| less than |y-b| ? 1) |z-a| < |z-b| 2) |y-a| < |z-b| |a-b| = the distance between a and b. Since a < y < z < b, we get the following number line: a..........y..........z..........b Statement 1: |z-a| < |z-b| Since the distance ...” September 4, 2018 GMATGuruNY posted a reply to Triathlete Dan runs along a 2-mile stretch of river and then in the Problem Solving forum “When the same distance is traveled at two different speeds, the average speed will be the same for ANY DISTANCE. Thus, we can solve the problem above using a distance that is divisible by the two speeds. Let the distance in each direction = 30 miles. Time to run 30 miles at a rate of 10 miles per ...” September 4, 2018 GMATGuruNY posted a reply to permutation/combination in the Problem Solving forum “Mr. Smith shook hands with 3 times as many men as women. The phrase in blue implies that the number of men who shook hands with Mr. Smith is a MULTIPLE OF 3. Thus, the total number of men = (multiple of 3) + (Mr. Smith). In math terms: Number of men = 3a + 1, where a is a positive integer. ...” September 4, 2018 GMATGuruNY posted a reply to GMATPREP Question - what is the subject in the Sentence Correction forum “A comparison is questionable if it allows for more than one logical interpretation. Case 2 is not a logical interpretation of your revision of E. No reader will construe that what MANAGERS find is being compared to what A GRASPING finds. Since only Case 1 constitutes a logical interpretation, the ...” September 4, 2018 GMATGuruNY posted a reply to At a certain hospital, 75% of the interns receive fewer than in the Problem Solving forum “We can use a double-matrix: https://preview.ibb.co/iUwRPe/matrix_interns.png In the resulting matrix, total not tired = 19/100 = 19%. The correct answer is C.” September 4, 2018 Rich.C@EMPOWERgmat.com posted a reply to The variable x takes on integer values between 1 and 7 in the Problem Solving forum “Hi All, We''re told that the variable X takes on integer values between 1 and 7 inclusive as shown above (meaning that out of a total of 15 values, there are three 1s, one 2, three 3s, one 4, etc.). We''re asked for the probability that the absolute value of the DIFFERENCE between the MEAN (re: ...” September 4, 2018 Rich.C@EMPOWERgmat.com posted a reply to Standard Deviation Problem in the Problem Solving forum “Hi All, We''re told that for a certain examination, a score of 58 was 2 standard deviations BELOW the mean and a score of 98 was 3 standard deviations ABOVE the mean. We''re asked for the mean score for the examination. The math behind this question is just basic Algebra, but depending on how ...” September 4, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMAT PREP ? (TableSpoons) in the Problem Solving forum “Hi All, We''re told that 3 teaspoons = 1 tablespoon and 4 tablespoons = 1/4 cup. We''re asked for the number of teaspoons that are equal to 3/8 cup. This question is a big ''unit conversion'' question and includes a big ''design shortcut'' that you can use to avoid most of the math. To start, ...” September 4, 2018 GMATGuruNY posted a reply to Points (x,y) in the rectangular coordinate plane in the Problem Solving forum “Since the graph intercepts the x-axis to the left of the y-axis and has only one solution, its graph is as follows: y = (x-k)², where k<0. The equation above has an x-intercept at (k, 0), as shown in the figure above. The answer choices represent the sum of k (the x-intercept) and p (the ...” September 4, 2018 GMATGuruNY posted a reply to Six children — A, B, C, D, E, and F — are going to sit i in the Problem Solving forum “Alternate approach: Number of options for A = 6. (Any of the 6 chairs.) Number of options for B = 5. (Any of the 5 remaining chairs.) Number of options for C = 4. (Any of the 4 remaining chairs.) Number of options for D = 3. (Any of the 3 remaining chairs.) Number of options for E and F = 1. ...” September 3, 2018 Rich.C@EMPOWERgmat.com posted a reply to Alex paid a$12 fee to receive a 10% discount off of the in the Problem Solving forum
“Hi All, We''re told that Alex paid a $12 fee to receive a 10% discount off of the list price on all books he bought in a six-month period and Victor paid a$15 fee to receive a 15% discount off of the list price on all books he bought in the same period. We''re told that EACH person bought books ...”
September 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to Six children — A, B, C, D, E, and F — are going to sit i in the Problem Solving forum
“Hi All, We''re told that six children - A, B, C, D, E, and F - are going to sit in six chairs in a row, but Child E must be somewhere to the LEFT of Child F. We''re asked for the number of possible configurations of the children. This question is a permutation question with a small twist - and ...”
September 3, 2018
GMATGuruNY posted a reply to Is |xy|>x^2y^2 in the Data Sufficiency forum
“Looks good!”
September 2, 2018
GMATGuruNY posted a reply to 3 machines have a productivity ratio of 1 to 2 to 5. All 3 in the Problem Solving forum
“Let the rate for the fastest machine = 5 units per hour and the rate for the slowest machine = 1 unit per hour. Since the fastest machine works at a rate of 5 units per hour for all 9 hours, the work produced by the fastest machine = rt = 5*9 = 45 units. Since the slowest machine works at a rate ...”
September 2, 2018
GMATGuruNY posted a reply to Is x an integer? in the Data Sufficiency forum
“Statement 1: x/2 = 1, 2, 3, 4, 5... Multiplying every value by 2, we get: x = 2, 4, 6, 8, 10... In every case, x is an integer. SUFFICIENT. Statement 2: 2x = 1, 2, 3, 4, 5... Dividing every value by 2, we get: x = 1/2, 1, 3/2, 2, 5/2... If x=1/2, then x is not an integer. If x=1, then x ...”
September 2, 2018
GMATGuruNY posted a reply to integers in the Problem Solving forum
“If we use 0 as a placeholder -- so that 007 represents 7, 072 represents 72, etc. -- then we need to count the number of times that 7 will appear among the 3-digit integers from 000 to 999, inclusive. Total number of 3-digit integers from 000 to 999, inclusive = biggest - smallest + 1 = ...”
September 1, 2018
GMATGuruNY posted a reply to If x^2/9 – 4/y^2 = 12, what is the value of x? in the Data Sufficiency forum
“x²/9 – 4/y² = 12 (x/3)² - (2/y)² = 12 The resulting equation is the DIFFERENCE OF TWO SQUARES: a² - b² = (a+b)(a-b). Thus, the equation can be rephrased as follows: (x/3 + 2/y)(x/3 - 2/y) = 12. Statement 1: Substituting x/3 + 2/y = 6 into (x/3 + 2/y)(x/3 - 2/y) = 12, we get: ...”
September 1, 2018
GMATGuruNY posted a reply to Agatha Christie´s Escalator in the Problem Solving forum
“Algebraic approach: Let P = Poirot''s rate, M = Marple''s rate, and E = the escalator''s rate. Since P travels 3 steps for every 2 steps that M travels: P/M = 3/2. Ratios can be MULTIPLIED: P/E * E/M = P/M . Since P/M = 3/2, we get: P/E * E/M = 3/2 Let x = the number of steps on ...”
August 30, 2018
GMATGuruNY posted a reply to Agatha Christie´s Escalator in the Problem Solving forum
“Let P = Poirot''s rate, M = Marple''s rate, and E = the escalator''s rate. Since P travels 3 steps for every 2 steps that M travels: P/M = 3/2. Ratios can be MULTIPLIED: P/E * E/M = P/M Since P/M = 3/2, we get: P/E * E/M = 3/2. We can PLUG IN THE ANSWERS, which represent the number of ...”
August 30, 2018
GMATGuruNY posted a reply to If 4 is one solution of the equation x^2 + 3x + k = 10, in the Problem Solving forum
“Alternate approach: x² + 3x = 10-k x² + 3x = constant. Since x=4 and the correct answer choice are both roots, they must yield the same result when plugged into x² + 3x. Plugging x=4 into x² + 3x, we get: 4² + 3*4 = 28. If we test the answer choices, only x=-7 yields the same result ...”
August 30, 2018
GMATGuruNY posted a reply to A jar contains 16 red balls and 8 white balls. If 3 balls ar in the Problem Solving forum
“P(1st marble is white) = 8/24. (Of the 24 marbles, 8 are white.) P(2nd marble is white) = 7/23. (Of the 23 remaining marbles, 7 are white.) P(3rd marble is white) = 6/22. (Of the 22 remaining marbles, 6 are white.) To combine these probabilities, we multiply: 8/24 * 7/23 * 6/22 = 1/3 * 7/23 * ...”
August 30, 2018
GMATGuruNY posted a reply to In a certain summer school program, there are five periods in the Problem Solving forum
“Alternate approach: Since Science class must be followed immediately by Science lab, Science class cannot be taken during the last period. Thus: Number of options for Science class = 4. (Any of the first 4 periods.) Number of options for Science lab = 1. (Must be the period immediately after ...”
August 30, 2018
GMATGuruNY posted a reply to What is the value of j + k? in the Data Sufficiency forum
“Statement 1: Case 1: m=0, j=0, k=0 In this case, j+k = 0+0 = 0 Case 2: m=0, j=0, k=1 In this case, j+k = 0+1 = 1 Since j+k can be different values, INSUFFICIENT. Statement 2: Dividing both sides of the equation by 5, we get: j+k = 2. SUFFICIENT. The correct answer is B.”
August 30, 2018
GMATGuruNY posted a reply to Angela has 15 pairs of matched socks. If she loses 7 in the Problem Solving forum
“15 matched pairs = 30 socks. E: 12 If Angela has 12 matched pairs left -- for a total of 24 socks -- then the number of socks lost = 30-24 = 6. Not viable, since Angela must lose 7 socks. The correct answer is E.”
August 30, 2018
GMATGuruNY posted a reply to To fill a number of vacancies, an employer must hire 3 in the Problem Solving forum
“Number of ways to choose 3 programmers from 6 applicants = 6C3 = (6*5*4)/(3*2*1) = 20. Number of ways to choose 2 managers from 4 applicants = 4C2 = (4*3)/(2*1) = 6. To combine the options above, we multiply: 20*6 = 120. The correct answer is C.”
August 29, 2018
GMATGuruNY posted a reply to What is the units digit of (3^{101})(7^{103})? in the Problem Solving forum
“When an integer is raised to consecutive powers, the resulting units digits repeat in a CYCLE. 3¹⁰¹: 3¹ --> units digit of 3. 3² --> units digit of 9. (Since the product of the preceding units digit and 3 = 3*3 = 9.) 3³ --> units digit of 7. (Since the product of the ...”
August 29, 2018
GMATGuruNY posted a reply to It takes the high-speed train x hours to travel the z miles in the Problem Solving forum
“Plug in easy numbers for the two rates. Then plug in a distance that is a multiple of both the two individual rates and the COMBINED rate. Let the high speed rate = 3 miles per hour. Let the regular rate = 2 miles per hour. Combined rate for the trains = 2+3 = 5 miles per hour. Let z = ...”
August 28, 2018
GMATGuruNY posted a reply to The world wildlife fund has declared that global warming in the Sentence Correction forum
“a phenomenon that is caused by human beings. Here, the that-clause in green serves to modify a phenomenon. Question: What KIND of phenomenon? Answer: A phenomenon THAT IS CAUSED BY HUMAN BEINGS. Most scientists agree that the statement above is true. To convey this meaning, we insert most ...”
August 28, 2018
GMATGuruNY posted a reply to November is traditionally the strongest - OG 2018 in the Sentence Correction forum
“Incorrect: When compared with most sport utility vehicles, minivans get better gas mileage. Here, the usage of when compared is unwarranted and conveys a nonsensical meaning, implying that minivans GET better mileage at the same time as they are COMPARED. The following is sufficient to convey the ...”
August 28, 2018
GMATGuruNY posted a reply to How many different positive integers having six digits are in the Problem Solving forum
“How many ways can the letters BBBGG be arranged? Number of ways to arrange 5 elements = 5!. But when an arrangement includes IDENTICAL elements, we must divide by the number of ways each set of identical elements can be ARRANGED. The reason: When the identical elements swap positions, the ...”
August 28, 2018
GMATGuruNY posted a reply to A certain IT department of fewer than 15 people hires coders in the Data Sufficiency forum
“Let c = coders and s = system administrators. Statement 1: 55,000(c-2) + 45,000(s+2) = 535,000 55(c-2) + 45(s+2) = 535 11(c-2) + 9(s+2) = 107. Implication of the resulting equation: (multiple of 11) + (multiple of 9) = 107. (multiple of 9) = 107 - (multiple of 11). Subtract ...”
August 28, 2018
GMATGuruNY posted a reply to Justin, Max, and Paul each have a collection of marbles. in the Problem Solving forum
“Since Max has 30% more than Paul''s 80 marbles, Max = 80 + (3/10)(80) = 104. Since Justin has 50% fewer than Max''s 104 marbles, Justin = (1/2)(104) = 52. The correct answer is C.”
August 28, 2018
GMATGuruNY posted a reply to How many different positive integers having six digits are in the Problem Solving forum
“There are 6 positions in the integer. The two 4''s must occupy a pair of positions. From the 6 positions, the number of ways to choose a pair for the two 4''s = 6C2 = (6*5)/(2*1) = 15. The remaining 4 positions must be occupied by 3, 5, 7 or 8, 7 or 8. Number of options for the 3 = 4. (Any ...”
August 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to When traveling at a constant speed of 32 miles per hour, a in the Problem Solving forum
“Hi All, We''re told that when traveling at a constant speed of 32 miles per HOUR, a certain motorboat consumes 24 gallons of fuel per HOUR. We''re asked for the fuel consumption of this boat at this speed measured in miles traveled per gallon of fuel. Sometimes the big ''step'' you have to ...”
August 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to If x, y, and z are negative numbers such that z = 40x + 80y in the Data Sufficiency forum
“Hi All, We''re told that X, Y and Z are NEGATIVE numbers such that Z = 40X + 80Y and X+Y = -1. We''re asked if Z is LESS than -60. This is a YES/NO question and can be solved by TESTing VALUES and/or using a bit of logic. To start, this question has some interesting limitations to it. Since ...”
August 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to The temperature of a place at noon on a certain day is 25% in the Data Sufficiency forum
“Hi All, We''re told that the temperature of a place at noon on a certain day is 25% higher than the temperature of the same place at midnight on the same day. We''re asked for the temperature of the place at midnight. This question can be solved in a couple of different ways, but it''s actually ...”
August 28, 2018
GMATGuruNY posted a reply to George bought a large electronic item with a 15% off coupon, in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the original price of the item. When the correct answer is plugged in, George reimburses the store $40.50. Since the coupon discount = 15% = 15/100 = 3/20, the original price of the item is almost certainly a multiple of 20. Of the 5 answer choices, ...” August 27, 2018 GMATGuruNY posted a reply to Exactly 8 years ago, Jim's son was twice as old as Jim's in the Problem Solving forum “We can PLUG IN THE ANSWERS, which represent the daughter''s current age. When the correct answer is plugged in, the nd the dau B: 10, implying that the daughter''s age 8 years ago = 10-8 = 2 Since the son 8 years ago was twice as old as the daughter, the son''s age 8 years ago = 2*2 = 4, ...” August 27, 2018 GMATGuruNY posted a reply to If m and r are two numbers on a number line, what is the in the Data Sufficiency forum “Translate the words into math. The DISTANCE between x and 0 is |x|. HALFWAY between two numbers is the AVERAGE of the two numbers. Statement 1: The distance between r and 0 is 3 times the distance between m and 0. |r| = 3|m| r = 3m or r=-3m. No way to solve for r. INSUFFICIENT. ...” August 27, 2018 GMATGuruNY posted a reply to If a, b, and c are positive integers, what is the remainder in the Data Sufficiency forum “Clearly, neither statement is sufficient on its own. Statements combined: The statements indicate that a and b are CONSECUTIVE PERFECT CUBES. Make a list of perfect cubes: 1, 8, 27, 64, 125... Calculating the difference between one perfect cube and the next, we get: 8-1 = 7 27-8 = 19 ...” August 27, 2018 GMATGuruNY posted a reply to GMAT Prep Problem 1 in the Problem Solving forum “Let the amount saved each month =$1. Total saved for the entire year = 12*1 = $12. Since the total saved for the entire year --$12 -- is 3 times the total not saved each month, the total not saved each month = 12/3 = $4. Thus, the total monthly pay = (total saved each month) + (total not saved ...” August 27, 2018 GMATGuruNY posted a reply to GMAT Prep Problem 3 in the Problem Solving forum “The prompt requires the following: (greatest integer)(next largest integer) < 200. The answer choices imply that the greatest integer must be 13, 14, 15, or 20 15² = 225 and 20² = 400. Implication: (15)(next largest integer) and (20)(next largest integer) will each yield a product greater ...” August 27, 2018 GMATGuruNY posted a reply to Solution X, which is 50% alcohol, is combined with solution in the Problem Solving forum “We can PLUG IN THE ANSWERS, which represent the amount of Y. Since the percentage for the mixture (35%) is closer to Y''s percentage (30%) than to X''s percentage (50%), Y must constitute MORE THAN 1/2 of the 16-liter mixture. Thus, the amount of Y must be equal to more than 8 liters. Eliminate ...” August 27, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMAT Official Guide 2019 The cost of 10 pounds of apples in the Data Sufficiency forum “Hi All, We''re told that the cost of 10 pounds of apples and 2 pounds of grapes was$12. We''re asked for the cost per pound of apples. We can answer this question with a mix of Algebra and TESTing VALUES. 1) The cost per pound of grapes was $2. With the given information in the prompt, ...” August 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMAT Official Guide 2019 If a certain vase contain in the Data Sufficiency forum “Hi All, We''re told that a certain vase contains only roses and tulips. We''re asked for the number of tulips in the vase. This question can be solved by TESTing VALUES. 1) The number of roses in the vase is 4 times the number of tulips in the vase. IF..... there''s 1 tulip, then there ...” August 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMAT Official Guide 2019 What is the number of in the Data Sufficiency forum “Hi All, We''re asked for the number of pages of a certain journal article. Certain DS questions can be answered with a bit of logic and just considering a few possibilities. 1) The size of each page is 5.5 inches by 8 inches. Fact 1 tells us NOTHING about the number of pages, so there ...” August 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to Which of the following points could lie in the same quadrant in the Problem Solving forum “Hi All, Co-ordinate Geometry (or "graphing", as most people call it) is a relatively rare category in the GMAT Quant section; you''ll likely see just 1 of these questions on Test Day. The question is perfect for TESTing VALUES. Here''s how: We''re asked which of the 5 answers COULD ...” August 26, 2018 GMATGuruNY posted a reply to Each of the cucumbers in 100 pounds is composed of 99% water in the Problem Solving forum “Since the cucumbers are 99% water, the 100 pounds of cucumbers are composed of 99 pounds of water and 1 POUND OF OTHER STUFF. After evaporation makes the cucumbers 98% water, the 1 POUND OF OTHER STUFF must constitute 2% of the new total: 1 = (2/100)x x = 100/2 = 50. The correct answer ...” August 26, 2018 GMATGuruNY posted a reply to Of the 9,000 people who voted in a recent election, how many in the Data Sufficiency forum “Statement 1: (women for X) : (women against X) = 2:1. Of every 3 women voters, 2 voted for X, while 1 voted against X. In other words, 2/3 of women voters voted for X. No way to determine the NUMBER of women who voted for X. INSUFFICIENT. Statement 2: No info about women voters. ...” August 26, 2018 GMATGuruNY posted a reply to The sum of positive integers x and y is 77, what is the in the Data Sufficiency forum “Statement 1: Substituting x=y+1 into x+y = 77, we get: (y+1) + y = 77 2y = 76 y = 38, implying that x = 38+1 = 39. Thus, xy = 39*38. SUFFICIENT. Statement 2: For x and y to have the same tens digit and a sum of 77, they must be equal to the pair of values yielded by Statement 1: 38 and ...” August 26, 2018 GMATGuruNY posted a reply to If n = 10^10 and n^n = 10^d, what is the value of d? A. 10^ in the Problem Solving forum “Substituting n= 10¹⁰ into n^n = 10^d, we get: (10¹⁰ )^(10¹⁰)= 10^d When an exponent is raised to a power, we MULTIPLY the exponents. Multiplying the exponents in blue, we get: 10^(10*10¹⁰) = 10^d 10^(10¹¹) = 10^d Since each side has the same base, the exponent in blue must be ...” August 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to A certain archery target is made up of a series of in the Problem Solving forum “Hi VJesus12, We''re told that the circular center region (the bull’s-eye) has a radius of 3 inches, each successive circle has a radius 3 inches greater than the one before and the largest scoring ring has an area of 153π square inches. We''re asked for the probability that an arrow that hits ...” August 25, 2018 Rich.C@EMPOWERgmat.com posted a reply to If the radius of a cylinder is half the length of the edge in the Problem Solving forum “Hi All, We''re told that the radius of a cylinder is HALF the length of the edge of a cube and the height of the cylinder is EQUAL to the length of the edge of the cube. We''re asked for the ratio of the volume of the cube to the volume of the cylinder. This question can be solved by TESTing ...” August 25, 2018 Rich.C@EMPOWERgmat.com posted a reply to Empowergmat for a month and a 40 point score jump! in the I just Beat The GMAT! forum “Hi Vid2018, With that 720, you can absolutely apply to any Schools that interest you! You''ve named some highly-competitive Schools, so beyond having a strong Overall profile, you have to make sure that you properly ''market yourself'' to each individual Program that you apply to. As such, you ...” August 25, 2018 GMATGuruNY posted a reply to How many five-digit numbers can be formed from the digits in the Problem Solving forum “For the 5-digit integer to be a multiple of 4, the last two digits must form a multiple of 4. Options: 04, 12, 20, 24, 32, 40, 52. Case 1: Last 2 digits include 0 Number options for the last 2 digits = 3. (04, 20 or 40.) Number of options for the ten-thousands place = 4. (Any of the 4 ...” August 25, 2018 GMATGuruNY posted a reply to Michael drives x miles due north at arrives at Point A. He in the Problem Solving forum “In deference to Brent''s concerns, the problem should read as follows: x miles north, y miles east, and z miles in a straight line back to x constitute a right triangle with legs x and y and hypotenuse z. The only right triangle in which all 3 sides are integers and the shortest leg is 5 is ...” August 24, 2018 GMATGuruNY posted a reply to The average (arithmetic mean) of the five numbers in a data in the Problem Solving forum “Sum = (quantity)(average). The average (arithmetic mean) of the five numbers in a data set is 72. Sum = 5*72 = integer with a UNITS DIGIT OF 0. The average (arithmetic mean) of the first three numbers is 98. Sum = 3*98 = integer with a UNITS DIGIT OF 4. For the sum of all 5 numbers to ...” August 24, 2018 Rich.C@EMPOWERgmat.com posted a reply to If the sales tax on a$12.00 purchase is $0.66, what is the in the Problem Solving forum “Hi All, We''re told that the sales tax on a$12.00 purchase is $0.66. We''re asked for the sales tax on a$20.00 purchase. This question can be solved in a number of different ways (depending on how you want to organize your math). Here''s how you can use a ratio to answer the question. ...”
August 23, 2018
Rich.C@EMPOWERgmat.com posted a reply to For a group of n people, k of whom are of the same sex, the in the Problem Solving forum
“Hi All, We''re told that for a group of N people, K of whom are of the same sex, the (N-K)/N expression yields an index for a certain phenomenon in group dynamics for members of that sex. We''re asked - for a group that consists of 20 people, 4 of whom are females, by how much does the index for ...”
August 23, 2018
Rich.C@EMPOWERgmat.com posted a reply to At a bowling alley, Neil can win a free pair of bowling in the Problem Solving forum
“Hi All, We''re told that at a bowling alley, Neil can win a free pair of bowling shoes if he AVERAGES a score of AT LEAST 200 over 8 games and his scores in his first seven games were 192, 188, 195, 197, 205, 208, and 203. We''re asked for the minimum score he needs in his last game to win the ...”
August 23, 2018
Rich.C@EMPOWERgmat.com posted a reply to Empowergmat for a month and a 40 point score jump! in the I just Beat The GMAT! forum
“Hi Vid2018, That''s outstanding news! A V41 is above the 90th percentile - and if that''s indicative of your Overall Score on the GMAT, then you can comfortably apply to any Business Schools that interest you! 1) When are you planning to apply to Business School? 2) What Schools are you ...”
August 23, 2018
GMATGuruNY posted a reply to Linda and Angela contract to paint a neighbor's house. Even in the Problem Solving forum
“Let the pay rate = $1 per hour. Let Angela''s time = 4 hours. Since Linda works 50% longer, Linda''s time = 4 + (1/2)4 = 6 hours. Since a total of 10 hours are worked at a rate of$1 per hour, the total pay = 10*1 = $10. Since each worker receives m dollars of the total pay, m=$5. Since ...”
August 23, 2018
GMATGuruNY posted a reply to United Telephone charges a base rate of $10.00 for service, in the Problem Solving forum “An alternate approach is to PLUG IN THE ANSWERS. When the correct answer is plugged in, the two companies will charge the same amount. B: 10 minutes Since United charges$10 plus $0.25 per minute, the charge from United = 10 + 10(0.25) =$12.50. Since Atlantic charges $12 plus$0.20 per ...”
August 23, 2018
GMATGuruNY posted a reply to A whole number greater than 1 has remainders of 1 when it is in the Problem Solving forum
“We can PLUG IN THE ANSWERS. To yield a remainder of 1 when divided by 4, the correct answer must be 1 more than a multiple of 4. The smallest answer choice that is 1 more than a multiple of 4 is 61. When 61 is divided by 2, 3 or 5, the remainder is 1 in each case. The correct answer is C.”
August 23, 2018
GMATGuruNY posted a reply to One woman and one man can build a wall together in two hours in the Problem Solving forum
“One woman and one man can build a wall together in two hours, but the woman would need the help of two girls in order to complete the same job in the same amount of time. Since replacing 1 man with 2 girls does not change the amount of time required to complete the job, 1 man is the equivalent of 2 ...”
August 23, 2018
GMATGuruNY posted a reply to What is the decimal equivalent of (1/5)^5? in the Problem Solving forum
“1/5⁵ = = (1/25)(1/25)(1/5) = (4/4 * 1/25)(4/4 * 1/25)(2/2 * 1/5) = (4/100)(4/100)(2/10) = 32/100000 = 32 * 10ˉ⁵ = 0.00032 The correct answer is A.”
August 22, 2018
GMATGuruNY posted a reply to While it costs about the same in the Sentence Correction forum
“Correct! OA: The cost of running nuclear power plants is about the same as is the cost] for other types of power plants. The blue verb in brackets is omitted but implied.”
August 22, 2018
GMATGuruNY posted a reply to Five friends Alastair, Bell, Cook, Darren and Eoin appeared in the Problem Solving forum
“To determine the ratio of the scores, plug in numbers and reduce the resulting ratio as much as possible. Let A = Alastair, B = Bell, C = Cook, D = Darren, and E = Eoin. Let B = the product of the denominators = 2*5*5*2 = 100. Darren’s score was 3/2 times that of Bell’s score. D = 3/2(B) = ...”
August 22, 2018
Rich.C@EMPOWERgmat.com posted a reply to There are 27 different three-digit integers that can be form in the Problem Solving forum
“Hi All, We''re told that there are 27 different three-digit integers that can be formed using only the digits 1, 2 and 3 and that all 27 of the integers were listed. We''re asked for the SUM of those 27 different integers. This question has a great series of built-in ''logic shortcuts'' that ...”
August 22, 2018
GMATGuruNY posted a reply to While it costs about the same in the Sentence Correction forum
“The OA implies the following: The cost of running nuclear power plants is about the same as for other types of power plants. The prepositions phrase in blue serves the same function as the prepositional phrase in red: both serve to modify the cost.”
August 21, 2018
GMATGuruNY posted a reply to While it costs about the same in the Sentence Correction forum
“to run for X implies that X is a GOAL. Mary plans to run for president. Conveyed meaning: The office of president = Mary''s goal. Thus, to run for other types of power plants implies that OTHER TYPES OF POWER PLANTS constitute a goal. Not the intended meaning. No one is attempting to reach ...”
August 21, 2018
GMATGuruNY posted a reply to While it costs about the same in the Sentence Correction forum
“OA: The cost of running nuclear power plants is about the same as for other types of power plants. Since the blue portion provides its own referent (other types of power plants), the referent in the red portion (nuclear power plants) is not implied in the blue portion. C: It costs about the ...”
August 21, 2018
GMATGuruNY posted a reply to If x and y are prime numbers, how many factors has x^2y^2? in the Data Sufficiency forum
“To count the positive factors of a positive integer: 1. Prime-factorize the integer 2. Write the prime-factorization in the form (a^p)(b^q)(c^r)... 3. The number of factors = (p+1)(q+1)(r+1)... Generally, GMAT problems about factors are constrained to POSITIVE factors. On the GMAT, the posted ...”
August 21, 2018
GMATGuruNY posted a reply to One machine, working at a constant rate, can fill a certain in the Problem Solving forum
“Time and rate have a RECIPROCAL RELATIONSHIP. If Mary works TWICE as fast as John, Mary''s time will be 1/2 John''s time. If Mary works THREE TIMES as fast as John, Mary''s time will be 1/3 John''s time Since 4 machines will work 4 times as fast as 1 machine, the time for 4 machines will ...”
August 21, 2018
GMATGuruNY posted a reply to Which of the following is the best approximation for 11^11-9 in the Problem Solving forum
“Another approach: 10¹¹ (100,000,000,000) is 100 TIMES the value of 10⁹ (1,000,000,000). Implication: 11¹¹ must be MORE THAN 100 TIMES the value of 9⁹. Since 9⁹ is so small when compared to 11¹¹, we can ignore the value of 9⁹ when we approximate: 11¹¹ - 9⁹ ≈ 11¹¹ The ...”
August 21, 2018
GMATGuruNY posted a reply to Which of the following is the best approximation for 11^11-9 in the Problem Solving forum
“Since the answer choices are very spread out, our approximation does not have to very exact. 11¹¹−9⁹ = 11¹¹− (11−2)⁹ ≈ 11¹¹ − 11⁹ = 11⁹(11²−1) ≈ (11⁹)(11²) = 11¹¹ The correct answer is D.”
August 21, 2018
GMATGuruNY posted a reply to Of 30 applicants for a job, 14 had at least 4 years' in the Problem Solving forum
“One approach is to use the following equation: Total = Group 1 + Group 2 - Both + Neither The big idea is to SUBTRACT THE OVERLAP. In the problem above, there is an overlap between the applicants with at least 4 years'' experience and the applicants with degrees. Some applicants belong to BOTH ...”
August 21, 2018
GMATGuruNY posted a reply to Which of the following points could lie in the same quadrant in the Problem Solving forum
“Every answer choice includes at least one negative sign. Test coordinate pairs that include at least one negative value. Case 1: a=1 and b=-1, so that (a, b) = (1, -1) Plug a=1 and b=-1 into the answer choices to see whether one of the answer choices yields a point in the same quadrant as ...”
August 21, 2018
GMATGuruNY posted a reply to If a and b are positive integers and x = 4^a and y = 9^b, in the Problem Solving forum
“x is equal to a POWER OF 4: 4, 16, 64... y is equal to a POWER OF 9: 9, 81... If x=4 and y=81, then xy = 324, which has a units digit of 4. The correct answer is B.”
August 21, 2018
GMATGuruNY posted a reply to Is z an even integer? in the Data Sufficiency forum
“Statement 1: Make a list of options for z/2: z/2 = 0, 2, 4, 6, 8... To get a list of options for z, multiply every value by 2: z = 0, 4, 8, 12, 16... In every case, z is an even integer, so the answer to the question stem is YES. SUFFICIENT. Statement 2: Make a list of options for 3z: 3z ...”
August 21, 2018
GMATGuruNY posted a reply to Set S consists of all prime integers less than 10 in the Problem Solving forum
“It is not possible for the two products -- that of the two chosen numbers and that of the two unchosen numbers -- to be equal. Each of the two products has the same probability of being greater. Thus, the probability that the product of the two chosen numbers is greater = 1/2. The correct ...”
August 20, 2018
GMATGuruNY posted a reply to How many days after the purchase of product X does its in the Data Sufficiency forum
“Statement 1: Minimum number of days: purchase date = January 31, expiration date = March 1 Here, the expiration date = (28 days of February) + (first day of March) = 29 days after purchase. Maximum number of days: purchase date = January 1, expiration date = March 31 Here, the expiration date ...”
August 19, 2018
Rich.C@EMPOWERgmat.com posted a reply to On his drive to work, Leo listens to one of three radio in the Problem Solving forum
“Hi All, We''re told that Leo listens to one of three radio stations A, B or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to C. If C is playing a song he likes, he ...”
August 19, 2018
Rich.C@EMPOWERgmat.com posted a reply to A certain brand of gasoline costs $1.25 per gallon. Using in the Problem Solving forum “Hi All, We''re told that a certain brand of gasoline costs$1.25 per gallon. We''re asked if a car averages 30 miles per gallon, what is the cost of the gasoline needed for the car to travel 120 miles. This is a multi-step ''Rate'' question - and the math involved can be done in a number of ...”
August 19, 2018
Rich.C@EMPOWERgmat.com posted a reply to R is the set positive odd integers less than 50, and S is in the Problem Solving forum
“Hi All, We''re told that R is the set of positive ODD integers LESS than 50, and S is the set of the SQUARES of the integers in R. We''re asked for the number of elements that are in BOTH R and S. This question is built around some basic Arithmetic and note taking. To start, I''m going to ...”
August 19, 2018
GMATGuruNY posted a reply to Collectively, the five children in the Kramer family have 30 in the Problem Solving forum
“In ascending order, let the 5 trophy values be a, b, c, d and e. To maximize the value of d -- the second highest value -- we must MINIMIZE the values of a, b and c. Since every child must have a different number of trophies, the least possible values for a, b and c are a=1, b=2, and c=3. Since ...”
August 18, 2018
GMATGuruNY posted a reply to Mona and Donald fly to Rome for the weekend. They take cash in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the total number of notes. The number of €10 notes they take is double the number of $10 notes they take. Thus, the ratio of €10 notes to$10 notes = 2:1. Since the sum of the parts of this ratio = 2+1 = 3, the total number of notes must be a ...”
August 18, 2018
GMATGuruNY posted a reply to A certain junior class has 1,000 students and a certain in the Problem Solving forum
“P(sibling pair) = (total number of sibling pairs)/(total number of possible pairs). Total number of possible pairs: There are 1000 juniors and 800 seniors. Total number of ways to combine 1 junior with 1 senior = 1000*800 = 800,000. Total number of sibling pairs = 60. Thus: ...”
August 17, 2018
GMATGuruNY posted a reply to Jason can stack two shelves in 3 hours and Maria can stack in the Problem Solving forum
“Let each shelf = 6 pounds. Since Jason takes 3 hours to stack 2 6-pound shelves -- for a total of 12 pounds -- Jason''s rate = 12/3 = 4 pounds per hour. Since Maria takes 2 hours to stack 3 6-pound shelves -- for a total of 18 pounds -- Maria''s rate = 18/2 = 9 pounds per hour. Total weight of 13 ...”
August 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to Jason can stack two shelves in 3 hours and Maria can stack in the Problem Solving forum
“Hi All, We''re told that Jason can stack 2 shelves in 3 hours and Maria can stack 3 shelves in 2 hours. We''re asked how long will it take them together, working at their constant rates, to stack thirteen shelves. This question is a ''rate'' question, so you can work through the math in a number ...”
August 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to On a certain trasatlantic crossing, 20 percent of a ship's in the Problem Solving forum
“Hi All, We''re told that on a certain transatlantic crossing, 20% of a SHIP''S PASSENGERS held round-trip tickets AND took their cars aboard the ship and 60% of the PASSENGERS WITH ROUND-TRIP TICKETS did NOT take their cars aboard the ship. We''re asked what percent of the ship''s passengers ...”
August 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to Set X consists of the first 100 positive even integers. Set in the Problem Solving forum
“Hi All, We''re told that Set X consists of the first 100 positive EVEN integers and Set Y consists of the first 100 positive multiples of 5. If the terms in both sets are combined to create a new set with NO repeat elements, we''re asked for the sum of all unique terms in the new set. This ...”
August 16, 2018
GMATGuruNY posted a reply to GPREP 3 SC-9 in the Sentence Correction forum
“Fixed! Thanks for catching the typo.”
August 16, 2018
GMATGuruNY posted a reply to Is n an integer less than 5? in the Data Sufficiency forum
“Statement 1: Make a list of options for 5n: 5n = 1, 2, 3, 4, 5... To get a list options for n, divide every value above by 5: n = 1/5, 2/5, 3/5, 4/5, 1... If n = 1/5, the answer to the question stem is NO. If n = 1, the answer to the question stem is YES. INSUFFICIENT. Statement 2: Make a ...”
August 16, 2018
GMATGuruNY posted a reply to A company hired a printer to produce a total of x + 1 in the Problem Solving forum
“The company requested 3 more 2¢ envelopes than 5¢ envelopes. Let the number of 5¢ envelopes = 2, and the number of number of 2¢ envelopes = 2+3 = 5, with the result that the cost of the envelopes = (5*2) + .(2*5) = 20 cents. A company hired a printer to produce a total of x + 1 envelopes. ...”
August 16, 2018
GMATGuruNY posted a reply to A librarian has a set of ten books, including four different in the Problem Solving forum
“Since the 4 Lincoln books must be side-by-side, place them in a BLOCK: C.”
August 16, 2018
GMATGuruNY posted a reply to A vending machine randomly dispenses four different types in the Problem Solving forum
“There are twice as many strawberry candies as grape candies. If G=1, then S=2. There are twice as many apple candies as strawberry candies. If S=2, then A=4. There are twice as many apple candies as orange candies. If A=4, then O=2. Resulting ratio: G:S:A:O = 1:2:4:2. Since the sum of the ...”
August 16, 2018
GMATGuruNY posted a reply to Three copying machines A, B, and C, working together at in the Problem Solving forum
“Let the job = 8 pages. Since A+B+C take 2 hours to copy the 8-page job, the combined rate for A+B+C = 8/2 = 4 pages per hour. Since B+C take 4 hours to copy the 8-page job, the combined rate for B+C = 8/4 = 2 pages per hour. A''s rate = (rate for A+B+C) - (rate for B+C) = 4-2 = 2 pages per ...”
August 15, 2018
GMATGuruNY posted a reply to (x – 1)(y – 1) = 1? in the Data Sufficiency forum
“Alternate approach: Statement 1: Case 1: x=2 Substituting x=2 into x+y = xy, we get: 2 + y = 2y 2 = y. In this case, (x-1)(y-1) = (2-1)(2-1) = 1, so the answer to the question stem is YES. Case 2: x=3 Substituting x=3 into x+y = xy, we get: 3+ y = 3y 3 = 2y 3/2 = y. In this case, ...”
August 15, 2018
GMATGuruNY posted a reply to Students are in clubs as follows: Science-20, Drama-30, and in the Problem Solving forum
“When we count the total in Science, the total in Drama, and the total in Band, any students in exactly two of the clubs are counted TWICE. Thus, we must SUBTRACT these students so that they are not double counted: Total = Science + Drama + Band - (exactly 2 clubs) = 20 + 30 + 12 - (8+6+4) = 44. ...”
August 15, 2018
GMATGuruNY posted a reply to Uncle Bruce is baking chocolate chip cookies. He has 36 in the Problem Solving forum
“= Since chocolate must constitute 20% of the cookies, the 36 ounces of dough must constitute the remaining 80%: 36 = 0.8x x = 36/0.8 = 360/8 = 45 ounces. Since the cookies = 45 ounces, and the dough = 36 ounces, the amount of chocolate used = 45-36 = 9 ounces. Thus -- of the 15 ounces of ...”
August 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to Each of three students is given fifteen tokens to spend at in the Data Sufficiency forum
“Hi All, We''re told that each of three students is given 15 tokens to spend at a fair with various tents to visit, some tents cost 3 tokens to enter, and some cost 4 tokens to enter. We''re asked for the number of tents that Amelia visited. This question can be solved by TESTing VALUES. 1) ...”
August 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to A local restaurant prepares one of three desserts every day in the Problem Solving forum
“Hi All, We''re told that a local restaurant prepares one of three desserts every day they are open, Monday through Saturday: cake, pastries, or brownies, the dessert on Wednesday MUST be brownies and the same dessert is NOT served on consecutive days. We''re asked for the number of different ...”
August 15, 2018
“Hi Sagar, I agree that taking one day ''off'' from your studies each week would be a good idea. In the broader sense, you should also be thinking in terms of the ''quality'' of your study - and not the ''quantity'' of it. With 16-18 hours of study each week, you could accomplish a great deal - ...”
August 15, 2018
GMATGuruNY posted a reply to Three printing presses, R, S, and T, working together at the in the Problem Solving forum
“Let the job = 20 pages. Since R+S+T take 4 hours to print the 20-page job, the combined rate for R+S+T = 20/4 = 5 pages per hour. Since S+T take 5 hours to print the 20-page job, the combined rate for S+T = 20/5 = 4 pages per hour. R''s rate = (rate for R+S+T) - (rate for S+T) = 5-4 = 1 page per ...”
August 14, 2018
GMATGuruNY posted a reply to If a number between 0 and 1 is selected at random, which of in the Problem Solving forum
“Put the ranges over the same DENOMINATOR: A: 0 and 3/20 B. 30/20 and 1/5 -- 3/20 and 4/20 C. 1/5 and 1/4 --> 4/20 and 5/20 D. 1/4 and 3/10 --> 5/20 and 6/20 E. 3/10 and 1/2 --> 6/20 and 10/20 Since the greatest range is offered by E (10/20 - 6/20 = 4/20), the number is most likely ...”
August 14, 2018
GMATGuruNY posted a reply to Lyme disease is caused by a bacterium transmitted to humans in the Critical Reasoning forum
“E, rephrased as a basic statement: The other species on which deer tick larvae feed harbor other bacteria that ticks transmit to humans. The conclusion is constrained to the number of ticks infected with the bacterium that causes LYME DISEASE. Information about other bacteria is irrelevant ...”
August 14, 2018
GMATGuruNY posted a reply to Ben is driving on the highway at x miles per hour. (One mile in the Problem Solving forum
“Note: One revolution = one CIRCUMFERENCE. Let x = 2 miles per hour, implying that the distance traveled in 1 hour = 2*5280 = 10560 feet. Let y = 10 feet. Since the total distance traveled in 1 hour = 10560 feet, and each circumference = 10 feet, the number of revolutions in 1 hour = 10560/10 = ...”
August 14, 2018
GMATGuruNY posted a reply to Bob invests 100 dollars in a fund that yileds 15% simple in the Problem Solving forum
“Alternate approach: To earn exactly $100 in interest at rate of$15 earned each month, the number of months required = 100/15 = 20/3 = 6.66 months. The smallest integer greater than 6.66 is 7. Implication: After 7 months, the total amount of interest will for the first time EXCEED $100, with ...” August 14, 2018 GMATGuruNY posted a reply to When x is divided by 2, the remainder is 1 and y is divided in the Problem Solving forum “Algebraic approach: When x is divided by 2, the remainder is 1. In other words, x is a multiple of 2 plus 1: x = 2a + 1. When y is divided by 8, the remainder is 2. In other words, y is a multiple of 8 plus 2: y = 8b + 2. Thus: 2x + y = 2(2a+1) + (8b + 2) = 4a + 2 + 8b + 2 = 4a + 8b + ...” August 14, 2018 GMATGuruNY posted a reply to Stacy and Katie plan to walk the 27-mile scenic route across in the Problem Solving forum “Since Stacy and Katie travel toward each other, they WORK TOGETHER to cover the 27 miles between them. Since Stacy is 1/4 faster than Katie, for every 4 miles that Katie travels, the distance traveled by Stacy = 4 + (1/4)(4) = 5 miles. Thus, of every 9 miles traveled when Stacy and Katie work ...” August 14, 2018 Rich.C@EMPOWERgmat.com posted a reply to When x is divided by 2, the remainder is 1 and y is divided in the Problem Solving forum “Hi All, We''re told that X and Y are INTEGERS, when X is divided by 2, the remainder is 1 and when Y is divided by 8, the remainder is 2. We''re asked which answer COULD be the value of 2X + Y. This question can be solved by TESTing VALUES. Since X/2 has a remainder of 1, then X must be ODD: ...” August 14, 2018 Rich.C@EMPOWERgmat.com posted a reply to Bob invests 100 dollars in a fund that yileds 15% simple in the Problem Solving forum “Hi All, We''re told that Bob invests 100 dollars in the middle of January into a fund that yields 15% simple interest calculated monthly. We''re asked for the first month in which the fund will have more than$200 total. This question involves the Simple Interest Formula, although you will ...”
August 14, 2018
Rich.C@EMPOWERgmat.com posted a reply to One-fifth of the students at a nursery school are 4 years in the Problem Solving forum
“Hi All, We''re told that 1/5 of the students at a nursery school are 4 years old or older, 16 students have not yet reached their third birthday and a total of 40 students are NOT between 3 years old and 4 years old. We''re asked for the total number of children in the nursery school. This ...”
August 14, 2018
“Hi Sagar, With another 3-4 months of consistent study, you could potentially improve a great deal - you will likely need all of that time to get to the point that you are consistently scoring 700+, so you will need to be efficient with this next phase of your studies. Many Test Takers who ...”
August 14, 2018
GMATGuruNY posted a reply to If the average of 993, 994, 996, 997, 998, 1001, 1001, 1002, in the Problem Solving forum
“Sum of the 10 terms = (quantity)(average) = 10*999 = 9990. If we add the units digits of the nine given terms, we get: 3+4+6+7+8+1+1+2+4 = 36. The sum of the nine given terms has a units digit of 6. The sum of all ten terms has a units digit of 0. Since (units digit of 6) + (units digit of 4) = ...”
August 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to If x ≠ 0, is y greater than 0? in the Data Sufficiency forum
“Hi All, We''re told that X is NOT equal to 0. We''re asked if Y is greater than 0. This is a YES/NO question. This question can be solved by with a mix of Number Properties and TESTing VALUES. 1) (X)(Y) = 24 IF.... X = postive and Y = positive, then the answer to the question is YES. X ...”
August 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to numbers in the Problem Solving forum
“Hi vaibhav101, We''re told that 5^A is a FACTOR of N! and the greatest integer value of A is 6. We''re asked for the largest possible value of B such that 7^B is a factor of N! This question is based on Prime Factorization, but comes with a ''twist.'' We''re limited by the 5s that appear in ...”
August 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to Solution A is 40% chlorine by volume, and Solution B is 60% in the Problem Solving forum
“Hi All, We''re told that Solution A is 40% chlorine by volume, and Solution B is 60% chlorine by volume and that a tank currently holds 40 gallons of Solution A. We''re asked for the number of gallons of Solution B must be added so that the liquid in the tank becomes 50% chlorine. This is a ...”
August 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to George bought a large electronic item with a 15% off coupon, in the Problem Solving forum
“Hi All, We''re told that George bought a large electronic item with a 15% off coupon, and paid a total bill. When he got outside, he studied the receipt and realize that he mistakenly had been given double the discount of the coupon, even though there was no double-coupon offer in effect that ...”
August 12, 2018
“Hi Sagar, I''m sorry to hear that Test Day did not go as well as hoped. From what you describe, I think that while you worked through lots of practice questions, you did not necessarily focus on learning and practicing the proper Tactics (and those Tactics are what you will need to hit 720+ on ...”
August 12, 2018
GMATGuruNY posted a reply to Are all of the terms in Set A equal? in the Data Sufficiency forum
“I posted a solution to a very similar problem here: https://www.beatthegmat.com/from-og-12-t73239.html”
August 12, 2018
GMATGuruNY posted a reply to profit and loss in the Problem Solving forum
“Let r=0, implying that no profit is made and that the oranges are sold at cost. Let q=12, implying that the cost for 12 oranges is $12, with the result that the cost per orange =$1. 1.66 dozen = (5/3)(12) = 20 oranges. Since the cost for 20 oranges = $20, p=20. Thus: 5pq - 12r = (5*20*12) - ...” August 11, 2018 Rich.C@EMPOWERgmat.com posted a reply to To Understand GMAT format and Pattern in the GMAT Strategy forum “Hi Amit, To start, you can learn about the GMAT and get some free practice materials at www.mba.com. Since it sounds like you''re just beginning your studies, then it would be a good idea to take a FULL-LENGTH practice CAT Test; you can take 2 for free at www.mba.com. If you want to do a ...” August 10, 2018 GMATGuruNY posted a reply to In each game of a certain tournament, a contestant either in the Data Sufficiency forum “Here is an algebraic way to combine the two statements: Let G = a game that results in a 2-point gain and L = a game that results in a 3-point loss. Statement 1: Since the played games yield a total of 4 points beyond the intital 100 points, we get: 2G - 3L = 4 2G = 4 + 3L Note: Since the ...” August 10, 2018 GMATGuruNY posted a reply to In a home library consisting of 108 books, some hardcover in the Problem Solving forum “Goal: To MAXIMIZE the number of nonfiction books. Since the fraction of hardcover books that are nonfiction (2/3) is greater than the fraction of softcover books that are nonfiction (1/4), the number of nonfiction books will be maximized if we must MAXIMIZE THE NUMBER OF HARDCOVER BOOKS. ...” August 10, 2018 GMATGuruNY posted a reply to A family consisting of one mother, one father, two daughters in the Problem Solving forum “Case 1: One daughter in the front passenger seat: Since one of the 2 parents must drive, number of choices for the driver''s seat = 2. Since either of the 2 daughters can be in the front passenger seat, number of choices = 2. Number of ways to arrange the 3 remaining people = 3! = 6. To combine ...” August 10, 2018 GMATGuruNY posted a reply to mgmat 4 in the Data Sufficiency forum “Fixed! Thanks for pointing out the typo.” August 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to As a bicycle salesperson, Norman earns a fixed salary of ... in the Data Sufficiency forum “Hi All, To start, we will need to 5 answer choices for reference (as the ability to ''prove'' or ''disprove'' an answer can help us to eliminate answer choices): A) I only B) II only C) I and II D) II and III E) I, II, and III This Roman Numeral question can be solved with ...” August 8, 2018 Rich.C@EMPOWERgmat.com posted a reply to a, b, x & y are positive integers. If ay=bx, is 7 a fact in the Data Sufficiency forum “Hi vinni.k, We''re told that A, B, X and Y are positive INTEGERS and that (A)(Y) = (B)(X). We''re asked if 7 a factor of X. This is a YES/NO questions. While this prompt might look ''scary'', it''s built around a Prime Factorization ''shortcut'' that you can use to avoid doing lots of math. ...” August 8, 2018 Rich.C@EMPOWERgmat.com posted a reply to The surface area of a rectangular field was changed so that in the Data Sufficiency forum “Hi All, We''re told that the surface area of a rectangular field was changed so that one of its dimensions was REDUCED by 10 feet and the other dimension was INCREASED by 20 feet. We''re asked for the area of the field BEFORE these changes were made. This question can be solved by TESTing ...” August 8, 2018 GMATGuruNY posted a reply to If the speed of X meters per second is equivalent to the in the Problem Solving forum “Plug in for x a value that is easy to convert from meters to kilometers. Let x = 1000 meters per second. Since 1000 meters = 1 kilometer, this rate = 1 kilometer per second. Since there are 3600 seconds in an hour, 1 kilometer per second = 3600 kilometers per hour. Thus, y = 3600. This is ...” August 7, 2018 GMATGuruNY posted a reply to If the average (arithmetic mean) of four different numbers in the Data Sufficiency forum “Sum of the 4 numbers = (quantity)(average) = 4*30 = 120. Statement 1: Case 1: The four numbers are 32, 31, 30, 27 In this case, two of the numbers are greater than 30. Case 2: The four numbers are 33, 32, 31, 24 In this case, three of the numbers are greater than 30. INSUFFICENT. ...” August 7, 2018 GMATGuruNY posted a reply to During a one day sale, a store sold each sweater of a in the Data Sufficiency forum “Statement 1: Case 1: 1 sweater is sold for$270 Case 2: 3 sweaters are sold for $90 each Since the number of sweaters sold can be different values, INSUFFICIENT. Statement 2: Since the$30 markup is 1/2 the cost of each sweater, the cost of each sweater = 60. Thus, the selling price of ...”
August 7, 2018
Rich.C@EMPOWERgmat.com posted a reply to Each of the 45 boxes on shelf J weighs less than each of the in the Data Sufficiency forum
“Hi NandishSS, This is a great ''concept'' question, meaning that you don''t really have to do any math to answer it as long as you understand the concepts involved. We''re told that EACH of the 45 boxes on shelf J weighs LESS than EACH of the 44 boxes on shelf K. We''re asked for the MEDIAN ...”
August 7, 2018
Rich.C@EMPOWERgmat.com posted a reply to Buckets X and Y contained only water and bucket Y was in the Data Sufficiency forum
“Hi All, We''re told that Buckets X and Y contained only water and bucket Y was 1/2 full and that all of the water in bucket X was then poured into bucket Y. We''re asked what fraction of the capacity of Y was then filled with water. This question can be approached in a couple of different ways, ...”
August 7, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT Prep?? (Question&Session) Pract2 in the Problem Solving forum
“Hi All, We''re told that a certain class, consisting of a lecture and a question-and-answer session, lasted from 2:45 to 4:30 one afternoon and the lecture lasted from 2:45 to 4:15. We''re asked for the fraction of the TOTAL time that the question-and-answer session represented. This question is ...”
August 7, 2018
Rich.C@EMPOWERgmat.com posted a reply to Which of the following is NOT the sum of the squares of two in the Problem Solving forum
“Hi All, Which of the following is NOT the sum of the squares of two integers. This question has a great ''brute force'' approach to it. Sometimes the big ''shortcut'' that you''ll find in a prompt is in the way that you organize your information. For this question, try writing the first 12 ...”
August 7, 2018
GMATGuruNY posted a reply to Which of the following CANNOT be the least common multiple in the Problem Solving forum
“If x and y are equal, then their LCM = x = y. Thus, x+y can be the LCM of x and y only if x and y are NOT equal. If x+y is the LCM of x and y, then dividing x+y by x or y must yield an INTEGER. If we divide x+y by x. we get: (x+y)/x = x/x + y/x = 1 + y/x. The expression in blue will be an ...”
August 6, 2018
Rich.C@EMPOWERgmat.com posted a reply to Jim went to the bakery to buy donuts for his office mates. H in the Problem Solving forum
“Hi alanforde800Maximus, We''re told that Jim bought a quantity of similar donuts, for which he was charged a total of $15. As the donuts were being boxed, Jim noticed that a few of them were slightly ragged-looking so he complained to the clerk, who apologized and then gave Jim 3 EXTRA donuts for ...” August 6, 2018 Rich.C@EMPOWERgmat.com posted a reply to A motorcycle travels at a speed of x kilometers per p hours. in the Problem Solving forum “Hi All, We''re told that a motorcycle travels at a speed of X kilometers per P hours. We''re asked for the number of meters it will travel in S seconds, in terms of S, P and X. (xps ≠ 0; 1 kilometer = 1000 meters). This question can be solved in a number of different way, including by TESTing ...” August 6, 2018 Rich.C@EMPOWERgmat.com posted a reply to Martha receives an annual salary of$20,000 plus a in the Problem Solving forum
“Hi All, We''re told that Martha receives an annual salary of $20,000 plus a commission of 10 percent on sales in EXCESS of$80,000 while Sandra receives an annual salary of $30,000 plus a 5 percent commission on her total annual sales only IF they exceed$120,000. We''re asked which sales ...”
August 6, 2018
Rich.C@EMPOWERgmat.com posted a reply to A business firm reduces the number of hours its employees in the Problem Solving forum
“Hi All, We''re told that a business firm reduces the number of hours its employees work from 40 hours per week to 36 hours per week while continuing to pay the SAME TOTAL amount of money. If an employee earned X dollars per HOUR before the reduction in hours, we''re asked how much the employee ...”
August 6, 2018
Rich.C@EMPOWERgmat.com posted a reply to Tom, who has 50 math questions, will get 5 points in the Problem Solving forum
“Hi VJesus12, We''re told that Tom, who has 50 math questions, will get 5 points per question if he chooses a correct answer and he will lose 2 points if he chooses a wrong answer to a question or skips one. We''re asked which of the following COULD be the score if he solves all 50 questions. ...”
August 6, 2018
Rich.C@EMPOWERgmat.com posted a reply to If a and b represent positive single digits in the correctly in the Problem Solving forum
“Hi All, We''re told that A and B each represent positive single DIGITS in the correctly worked calculation: 22 + A3 + 4B = 90 (reminder: each value is a 2-digit number). We''re asked for the value of the two digit integer BA. This question can be solved in a couple of different ways. You can do ...”
August 6, 2018
Rich.C@EMPOWERgmat.com posted a reply to Seven friends are living in 7 different flats of an apartmen in the Problem Solving forum
“Hi alanforde800Maximus, We''re told that seven friends are living in 7 different flats of an apartment and each was allotted a parking slot to park their cars in the ground floor; however, they used to park their cars randomly in any of the seven slots. We''re asked for the number of ways that ...”
August 6, 2018
GMATGuruNY posted a reply to Which of the following CANNOT be the least common multiple in the Problem Solving forum
“Neither x-y nor x+y can be the LCM of x and y. What is the source of this problem?”
August 5, 2018
GMATGuruNY posted a reply to IF N=5^5*10^10*15^15*20^20*25^25*30^30*35^35*40^40*45^45*50^ in the Problem Solving forum
“This problem is about TRAILING 0''s: the number of 0''s at the end of a large product. Since 10=2*5, EVERY COMBINATION OF 2*5 contained within the prime-factorization of N will yield a 0 at the end of the integer representation of N.. N=5⁵ * 10¹⁰ * 15¹⁵ * 20²⁰ * 25²⁵ * 30³⁰ ...”
August 5, 2018
GMATGuruNY posted a reply to A contractor combined x tons of a gravel mixture that in the Data Sufficiency forum
“x = 10% gravel y = 2% gravel. z = the MIXTURE of x and y = 5% gravel. To determine the required ratio of x to y, use ALLIGATION -- a very efficient way to handle MIXTURE PROBLEMS. Step 1: Plot the 3 percentages on a number line, with the percentages for x and y on the ends and the ...”
August 4, 2018
GMATGuruNY posted a reply to In the figure, angle C and angle M are right angles, and KL in the Data Sufficiency forum
“Statement 1: Since ∠C=∠M=90 and ∠ABC=∠KLM, the remaining two angles are also equal: ∠BAC=∠LKM. Triangles with the same combination of angles are SIMILAR. In similar triangles, corresponding sides in the SAME RATIO. Here, AB and KL are corresponding sides, since each is a ...”
August 4, 2018