prafulladhakate

prafulladhakate

Max@Math Revolution posted a new topic called If n is an integer, which of the following must also be an i in the Problem Solving forum
“[GMAT math practice question] If n is an integer, which of the following must also be an integer? I. n(n+1)/2 II. n(n+1)(n+2)/6 III. n(n+1)(n+2)(n+3)/8 A. I only B. II only C. III only D. I and II E. I, II and III”
Yesterday
Max@Math Revolution posted a reply to A certain characteristic in a large population has a distrib in the Problem Solving forum
“https://s33.postimg.cc/3v3gxhbbv/7.18.png 80 – 72 = 8 is the standard deviation of the distribution. Therefore, D is the answer. Answer: D”
Yesterday
Max@Math Revolution posted a new topic called [x] is the least integer greater than or equal to x. If x is in the Data Sufficiency forum
“[GMAT math practice question] [x] is the least integer greater than or equal to x. If x is not an integer, what is the value of [x]? 1) The greatest integer less than x is 1 2) The nearest integer to x is 0”
Yesterday
Max@Math Revolution posted a reply to 70% of students at a school joined the soccer club and 60% j in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. For ...”
Yesterday
Rich.C@EMPOWERgmat.com posted a reply to What is the value of 2x/3y? in the Data Sufficiency forum
“Hi All, We''re asked for the value of 2X/3Y. This question can be solved by TESTing VALUES. 1) (X^2)/(Y^2) = 36/25 IF.... X=6, Y=5, then the answer to the question is 12/15 = 4/5 X=6, Y= -5, then the answer to the question is 12/-15 = -4/5 Fact 1 is INSUFFICIENT 2) X^5/Y^5 > ...”
Yesterday
Rich.C@EMPOWERgmat.com posted a reply to What was the percent increase in population of City K from in the Data Sufficiency forum
“Hi All, We''re asked for the percent increase in population of City K from 1980 to 1990. This question can be solved in a couple of different ways. If we knew the exact populations in 1980 and 1990, then that would be enough information to answer the question (since we could then use the Percent ...”
Yesterday
Rich.C@EMPOWERgmat.com posted a reply to Wholesaler's profit in the Problem Solving forum
“Hi All, We''re told that a wholesaler bought 1,200 radios for $18 each, sold 60 percent of the radios for $30 each and the rest for $15 each. We''re asked for the wholesaler’s AVERAGE (arithmetic mean) profit per radio. This question has a great ''math shortcut'' built into it that can help us ...”
Yesterday
Brent@GMATPrepNow posted a reply to The product of 4 consecutive odd integers is negative. What in the Data Sufficiency forum
“Target question: What is the largest odd integer? Given: The product of 4 consecutive odd integers is negative. It''s worth taking the time to analyze what this is telling us. If the product of 4 consecutive odd integers is negative, then there are only 2 possible scenarios: Scenario #1: ...”
July 17, 2018
Brent@GMATPrepNow posted a reply to Is x<0? in the GMAT Math forum
“Target question: Is x<0? Key Concept: ODD exponents preserve the sign of the base. In other words, POSITIVE^ODD = POSITIVE and NEGATIVE^ODD = NEGATIVE Statement 1: x^5 < 0 This is telling us that x^5 = NEGATIVE So, it must be the case that x is NEGATIVE So, the answer to the ...”
July 17, 2018
Brent@GMATPrepNow posted a reply to In the xy-plane, points A, B and C are not on the same line in the Data Sufficiency forum
“Target question: Is the slope of line BC negative? We can quickly see that statements 1 and 2 (alone) are NOT SUFFICIENT. This brings us to... Statements 1 and 2 combined If we draw the line segment AB with slope -1, then we get something like this: ...”
July 17, 2018
Brent@GMATPrepNow posted a reply to If x < 12, then it must be true that in the Problem Solving forum
“NOTE: this is one of those questions that require us to check/test each answer choice. In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top. For more on this strategy, see my article: ...”
July 17, 2018
Brent@GMATPrepNow posted a reply to If 8x=2^y what is the value of x, in terms of y? in the Problem Solving forum
“Another approach is to find some values of x and y that satisfy the given equation 8x = 2^y One solution that works is x = 1 and y = 3, since 8(1) = 2^3 Now take each answer choice and replace x and y with 1 and 3 respectively and see which one yields a true equation: A. 1 = 2^[3(3) - 2] ...”
July 17, 2018
Max@Math Revolution posted a new topic called <x> is the largest integer less than or equal to x and [x] i in the Problem Solving forum
“[GMAT math practice question] < x > is the largest integer less than or equal to x and [x] is the smallest integer greater than or equal to x. If x is not an integer, which of the following could be the value of [x] - < x >? A. 1 B. 2 C. 3 D. 4 ...”
July 17, 2018
Max@Math Revolution posted a new topic called The product of 4 consecutive odd integers is negative. What in the Data Sufficiency forum
“[GMAT math practice question] The product of 4 consecutive odd integers is negative. What is the largest odd integer? 1) The smallest integer is negative. 2) The third smallest integer is negative.”
July 17, 2018
Rich.C@EMPOWERgmat.com posted a reply to (x - 1)^2 = 400 -> ?? Positive square root quesiton in the Problem Solving forum
“Hi All, GMAT writers often provide little ''hints'' in the wording of the question that can help you to avoid some of the work. Here, notice the phrase "...which of the following COULD be the value...." That''s an interesting way to phrase a question - it''s NOT asking "...what IS ...”
July 17, 2018
Rich.C@EMPOWERgmat.com posted a reply to Total students in the Problem Solving forum
“Hi All, We''re given data on the "breakdown" of grades in a course: 1/5 are A''s, 1/4 are B''s, 1/2 are C''s, and the remaining 10 grades are D''s. We''re asked for the total number of students in the course. This question can also be solved by TESTing THE ANSWERS. To start, we need a ...”
July 17, 2018
Max@Math Revolution posted a new topic called A certain characteristic in a large population has a distrib in the Problem Solving forum
“[GMAT math practice question] A certain characteristic in a large population has a distribution that is symmetric about the mean m. 68 percent of the distribution lies within one standard deviation d of the mean. The average score of students in a certain class is 72 pts. 84% of students in the ...”
July 16, 2018
Max@Math Revolution posted a new topic called 70% of students at a school joined the soccer club and 60% j in the Data Sufficiency forum
“[GMAT math practice question] 70% of students at a school joined the soccer club and 60% joined the baseball club. What percent of students joined both clubs? 1) 10% of students joined neither of the clubs. 2) 20 students joined both clubs”
July 16, 2018
Max@Math Revolution posted a reply to If n is the product of 5 different prime numbers, how many f in the Problem Solving forum
“=> Since p, q, r, s, t are different prime factors of n, we have n = p*q*r*s*t = p^1q^1r^1s^1t^1. The number of factors of n is (1+1)(1+1)(1+1)(1+1)(1+1) = 2*2*2*2*2 = 32. Therefore, the answer is E. Answer: E”
July 16, 2018
Max@Math Revolution posted a reply to If the sequence {An } satisfies An = An-1 - An-2, A1 = 0, an in the Problem Solving forum
“=> We determine the period of the sequence by examining its terms: A1 = 0 and A2 = 1. A3 = A2 – A1 = 1 – 0 = 1 A4 = A3 – A2 = 1 – 1 = 0 A5 = A4 – A3 = 0 – 1 = -1 A6 = A5 – A4 = -1 – 0 = -1 A7 = A6 – A5 = -1 – (-1) = 0 A8 = A7 – A6 = 0 – (-1) = 1 A9 = A8 – A7 ...”
July 16, 2018
Max@Math Revolution posted a reply to In the xy-plane, is the triangle that connects the 3 differe in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Condition ...”
July 16, 2018
Max@Math Revolution posted a reply to If a, b, and c are consecutive integers and a<b<c, is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
July 16, 2018
Max@Math Revolution posted a new topic called If n is the product of 5 different prime numbers, how many f in the Problem Solving forum
“[GMAT math practice question] If n is the product of 5 different prime numbers, how many factors does n have? A. 2 B. 4 C. 8 D. 16 E. 32”
July 15, 2018
Max@Math Revolution posted a reply to The terms of the sequence {An} satisfy A2 - A1 = 2, A3 - A2 in the Problem Solving forum
“=> We try each possibility until we find a formula that works. A): If An+1 - An = n + 1, then A2 - A1 = 1 + 1 = 2, which is correct, but A3 - A2 = 2 + 1 = 3 ≠ 5. So, A) is not the answer. B): If An+1 - An = n^2 + 1, then A2 - A1 = 1^2 + 1 = 2, A3 - A2 = 2^2 + 1 = 5, A4 - A3 ...”
July 15, 2018
Max@Math Revolution posted a new topic called In the xy-plane, is the triangle that connects the 3 differe in the Data Sufficiency forum
“[GMAT math practice question] In the xy-plane, is the triangle that connects the 3 different points A(3,4), B(p,q), and C(r,s) a right triangle? 1) (p-3)(r-3)+(q-4)(s-4)=0 2) p=3 and s=4”
July 15, 2018
Max@Math Revolution posted a reply to If gcd(m,n) is the greatest common divisor of m and n, then in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
July 15, 2018
ceilidh.erickson posted a reply to Although the people who live in India's villages and on the in the Sentence Correction forum
“For more on PARALLELISM with X, Y, and Z lists, see: https://www.beatthegmat.com/from-the-earliest-days-of-the-tribe-kinship-determined-t301953.html#813250 https://www.beatthegmat.com/new-york-city-bike-t275456.html#715501 ...”
July 14, 2018
ceilidh.erickson posted a reply to Although the people who live in India's villages and on the in the Sentence Correction forum
“This question is testing PARALLELISM of lists. When you see a list structure (X, Y, and Z), you must make sure all elements are logically and structurally comparable. Here is the list in the original sentence: ...the years since independence in 1947 have brought: 1. increased literacy, 2. new ...”
July 14, 2018
ceilidh.erickson posted a reply to Unlike the team of lawyers working for the petitioner, whose in the Sentence Correction forum
“For more on comparisons with LIKE / UNLIKE: https://www.beatthegmat.com/similar-to-other-early-mississippi-delta-t290569.html#771270 https://www.beatthegmat.com/the-use-of-unlike-t149928.html#539972 https://www.beatthegmat.com/gprep-sc-9-t277381.html#722472 ...”
July 14, 2018
ceilidh.erickson posted a reply to Unlike the team of lawyers working for the petitioner, whose in the Sentence Correction forum
“This question is testing COMPARISONS and MODIFIERS. Whenever a sentence begins with a comparison signal like "unlike" or "like," we must make sure that we''re comparing logically comparable ideas. In the original sentence, we have "Unlike the team of lawyers..., the ...”
July 14, 2018
ceilidh.erickson posted a reply to With corn, soybean, and wheat reserves being low enough so in the Sentence Correction forum
“This question is #28 in OG 2016. (Interestingly, this question is often cited as having the typo "weather" rather than "whether." It certainly hcan be read that way, but we should trust that GMAC has more diligent proofreaders than that. Instead, we should understand it as the ...”
July 14, 2018
ceilidh.erickson posted a reply to How can I increase my GMAT score? in the GMAT Strategy forum
“Scott is definitely right about learning the material topic-by-topic before taking more practice exams. Another likely factor when I see scores this low / this inconsistent: TIMING. - did you run out of time on either section? - did you fall behind and have to rush to catch up? - or did you ...”
July 14, 2018
ceilidh.erickson posted a reply to Although just inside the orbit of Jupiter, amateur in the Sentence Correction forum
“This question has been kicking around the forums for years. As far as I can tell, it''s from the "1000 SC" set of practice questions. Many of these questions are poor reflections of the real GMAT. On the GMAT, any opening modifier must refer to the subject of the independent clause that ...”
July 14, 2018
ceilidh.erickson posted a reply to Exposure to certain chemicals commonly used in elementary in the Critical Reasoning forum
“Whenever you''re asked to find the ASSUMPTION in CR, you must look for a logical disconnect between the premises and the conclusion. Premises: - Exposure to certain chemicals commonly used in elementary schools as cleaners or pesticides causes allergic reactions in some children. - Elementary ...”
July 13, 2018
ceilidh.erickson posted a reply to GMAT Official Guide 2019 The table shows partial results in the Problem Solving forum
“I will admit that on the first quick read, I thought "22% + 18% = 40%. Are they really just asking us to turn 40% into a fraction? That''s shockingly easy!" So then, as I always do, I re-read with my skepticism radar on high alert. I then saw "partial results" and "Of those ...”
July 13, 2018
ceilidh.erickson posted a reply to Difference Between Prism and Pyramid | Short Video in the GMAT Math forum
“This is not a topic that anyone needs to know for the GMAT.”
July 13, 2018
Max@Math Revolution posted a new topic called If the sequence {An } satisfies An = An-1 - An-2, A1 = 0, an in the Problem Solving forum
“n } satisfies An = An-1 - An-2, A1 = 0, and A2 = 1, where n is an integer greater than 2, then what is the sum of the first 100 terms of {An }? A. 1 B. 2 C. 3 D. 4 E. 5”
July 12, 2018
Max@Math Revolution posted a reply to When the positive integer n is divided by 8, the remainder i in the Problem Solving forum
“=> If n has remainder 3 when it is divided by 8, then n = 8a + 3 for some integer a. The possible positive integer values of n are 3, 11, 19, 27, 35, … . If n has remainder 2 when it is divided by 5, then n = 5b + 2 for some integer b. The possible positive integer values of n are 2, 7, ...”
July 12, 2018
Max@Math Revolution posted a new topic called If a, b, and c are consecutive integers and a<b<c, is a an e in the Data Sufficiency forum
“[GMAT math practice question] If a, b, and c are consecutive integers and a<b<c, is a an even number? 1) ac is a multiple of 8. 2) abc is a multiple of 8.”
July 12, 2018
Max@Math Revolution posted a reply to |m-n|=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
July 12, 2018
Brent@GMATPrepNow posted a reply to Challenge: If line k passes through the points (48, 33) and in the Problem Solving forum
“If we sketch the two given points, we can quickly see that the slope (aka rise/run) of the line = 11/17 https://i.imgur.com/jJtP4PZ.png So, we can use this information to plot another point on the line... https://i.imgur.com/pfA3jL1.png And another point... ...”
July 11, 2018
Max@Math Revolution posted a new topic called The terms of the sequence {An} satisfy A2 - A1 = 2, A3 - A2 in the Problem Solving forum
“n} satisfy A2 - A1 = 2, A3 - A2 = 5 and A4 - A3 = 10. Which of the following could be the formula for An+1 - An, in terms of n? A. n + 1 B. n^2 + 1 C. n^2 - 1 D. n - 1 E. n^2 + 3”
July 11, 2018
Max@Math Revolution posted a reply to For a positive integer m, [m] is defined to be the remainder in the Problem Solving forum
“=> Statement I 7(3n+1) = 21n + 7 = 3(7n+2) + 1 Thus, [3n+1] = 1 Statement II 7(3n) = 21n = 3*7n + 0 Thus, [3n] = 0 Statement III Since [3n] = 0, we have [3n] + 2 = 2. Thus, only [3n+1] equals 1. Therefore, the answer is A. Answer: A”
July 11, 2018
Max@Math Revolution posted a new topic called If gcd(m,n) is the greatest common divisor of m and n, then in the Data Sufficiency forum
“[GMAT math practice question] If gcd(m,n) is the greatest common divisor of m and n, then n=? 1) gcd(m,n)=n 2) gcd(m,gcd(m,n))= 30”
July 11, 2018
Max@Math Revolution posted a reply to When the members of group A are divided into groups of 13 pe in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
July 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to It costs g cents per mile for gasoline and m cents in the Problem Solving forum
“Hi VJesus12, We''re told that it costs G CENTS per mile for gasoline and M CENTS per mile for all other costs to run a car. We''re asked for the number of DOLLARS it will cost to run a car 200 miles. This question can be solved in a couple of different ways, including by TESTing VALUES. ...”
July 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to A factory that employs 1000 assembly line workers pays each in the Problem Solving forum
“Hi swerve, We''re told that a factory that employs 1000 assembly line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1½ times that rate for hours worked in excess of 40. We''re asked for the total payroll for the assembly-line workers for a week ...”
July 11, 2018
Brent@GMATPrepNow posted a reply to Challenge question: If ABCD is a square, and XYZ in the Problem Solving forum
“If ∆XYZ is EQUILATERAL, then each angle is 60° So, if we draw a line from the center to a vertex, we''ll get two 30° angles.... https://i.imgur.com/4s2wG5R.png Now drop a line down like this to create a SPECIAL 30-60-90 right triangle https://i.imgur.com/aLVDzG4.png Since the base ...”
July 10, 2018
Max@Math Revolution posted a new topic called When the positive integer n is divided by 8, the remainder i in the Problem Solving forum
“[GMAT math practice question] When the positive integer n is divided by 8, the remainder is 3, and when n is divided by 5, the remainder is 2. What is the remainder when the smallest possible value of n is divided by 6? A. 0 B. 1 C. 2 D. 3 ...”
July 10, 2018
Max@Math Revolution posted a new topic called |m-n|=? in the Data Sufficiency forum
“[GMAT math practice question] |m-n|=? 1) m and n are integers 2) mn=13”
July 10, 2018
Rich.C@EMPOWERgmat.com posted a reply to How can I increase my GMAT score? in the GMAT Strategy forum
“Hi Vidushi Dahiya, Those types of results in the Verbal section imply that you''re "winging it" when working through Verbal questions - and that you are probably not using a consistent set of Tactics when working through the Verbal section. 1) What "steps" do you go ...”
July 10, 2018
Rich.C@EMPOWERgmat.com posted a reply to In a survey it was found that 60% of those surveyed liked in the Problem Solving forum
“Hi swerve, We''re told that in a survey it was found that 60% of those surveyed liked honey, 40% of the people liked sugar and 30% liked both honey and sugar. If 100 people took the survey, we''re asked for the number who liked NEITHER honey nor sugar. This is an example of a standard ...”
July 9, 2018
Rich.C@EMPOWERgmat.com posted a reply to Rhoda tosses a coin 5 times. Find the probability of getting in the Problem Solving forum
“Hi swerve, We''re told that Rhoda tosses a coin 5 times. We''re asked for the probability of getting exactly 4 heads. This question can be approached in a couple of different ways, including as a Permutation. Since each toss has 2 possible outcomes, with 5 tosses there would be (2)^5 = 32 ...”
July 9, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT Official Guide 2019 Greg assembles units of a certain in the Problem Solving forum
“Hi All, We''re told that Greg assembles units of a certain product at a factory. Each day he is paid $2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that DAY. If Greg assembled at least 30 units on each of two days and was paid a total ...”
July 9, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT Official Guide 2019 During a recent storm, 9 in the Problem Solving forum
“Hi All, We''re told that during a recent storm, 9 neighborhoods experienced power failures of durations 34, 29, 27, 46, 18, 25, 12, 35, and 16 minutes, respectively. We''re asked for the MEDIAN duration, in minutes, of these power failures. The word "median" is a statistical term that ...”
July 9, 2018
Brent@GMATPrepNow posted a new topic called Challenge: If line k passes through the points (48, 33) and in the Problem Solving forum
“If line k passes through the points (48, 33) and (31, 22), what is the x-intercept of line k? A) -25 10/11 B) -3 C) -1 16/17 D) 1 16/17 E) 25 10/11 Answer: B Difficulty level: 600 – 650 Source: www.gmatprepnow.com *I''ll post a solution in 2 days”
July 9, 2018
Brent@GMATPrepNow posted a reply to What is the area of the shaded region, if the area of the in the Problem Solving forum
“EXTRA PRACTICE Here are two more questions involving an equilateral triangle inscribed in a circle: - http://www.beatthegmat.com/triangle-inside-a-circle-t90961.html - http://www.beatthegmat.com/if-a-smaller-circle-is-inscribed-in-an-equilateral-triangle-t289365.html Cheers, Brent”
July 9, 2018
Max@Math Revolution posted a new topic called For a positive integer m, [m] is defined to be the remainder in the Problem Solving forum
“[GMAT math practice question] For a positive integer m, [m] is defined to be the remainder when 7m is divided by 3. If n is a positive integer, which of the following are equal to 1? I. [3n+1] II. [3n] III. [3n] + 2 A. I only B. II only C. I & II only D.I ...”
July 9, 2018
Max@Math Revolution posted a new topic called When the members of group A are divided into groups of 13 pe in the Data Sufficiency forum
“[GMAT math practice question] When the members of group A are divided into groups of 13 people, m subgroups are formed. When the members of group B are divided into groups of 11 people, n subgroups are formed, and 8 people are left over. What is the number of members of group B? 1) m = n 2) ...”
July 9, 2018
Rich.C@EMPOWERgmat.com posted a reply to Each of three charities in Novel Grove Estates has 8 persons in the Problem Solving forum
“Hi All, We''re told that each of three charities in Novel Grove Estates has 8 persons serving on its board of directors and EXACTLY 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors. We''re asked for the number of distinct persons ...”
July 9, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT Official Guide 2019 (1/2 - 1/3) + (1/3-1/4) in the Problem Solving forum
“Hi All, When a GMAT question presents what appears to be a ''step heavy'' calculation to you, it''s important to remember that the Quant section of the GMAT is NOT a ''math test''; it''s a ''critical thinking'' test that requires lots of little calculations as you work through it. Here, while it ...”
July 9, 2018
Rich.C@EMPOWERgmat.com posted a reply to Set T consists of all points (x, y) such that x^2+y^2=1. in the Problem Solving forum
“Hi All, This question is fairly ''high-concept'', but you can solve it with a drawing and a bit of logic. When you graph the equation X^2 + Y^2 = 1, you will have a circle with a radius of 1 that is centered around the Origin. There are only four points on that circle that are integer ...”
July 9, 2018
Rich.C@EMPOWERgmat.com posted a reply to The product of the first twelve positive integers is in the Problem Solving forum
“Hi All, We''re told to take the PRODUCT of the first 12 positive integers. We''re asked which of the following is NOT divisible into that product. This question is best handled with Prime Factorization. To start, the GMAT would never expect you to actually calculate a product that was so big, ...”
July 9, 2018
Brent@GMATPrepNow posted a reply to Jalal weighs twicw as much as Meena. Meena's weight is 60% in the Problem Solving forum
“An alternative approach is to assign weights that meet the given conditions. Meena''s weight is 60% of Bahar''s weight Let''s let Bahar''s weight = 100 kg So, Meena''s weight = 60 kg Jalal weighs twice as much as Meena. Since Meena weight 60 kg (see above) then Jalal''s weight = 120 kg ...”
July 8, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: If ABCD is a square, and XYZ in the Problem Solving forum
“https://i.imgur.com/sd4EcIB.png If ABCD is a square, and XYZ is an equilateral triangle, then the area of the square is how many times the area of the triangle? A) (4√3)/3 B) (8√3)/3 C) 2√6 D) (16√3)/9 E) (16√2)/3 Answer: D Difficulty level: 650 – 700 Source: ...”
July 8, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 If S = 1 + in the Problem Solving forum
“So, S = 1 + 1/4 + 1/9 + 1/16 + 1/25 + 1/36 + . . . . Now, let''s convert a few of the fractions to decimal approximations... S = 1 + 0.25 + 0.11 + 0.06 + 0.04 + . . . Add the first 4 values.... S = 1.42 + 0.04 + . . . IMPORTANT: Notice that each fraction is less than the fraction ...”
July 8, 2018
Max@Math Revolution posted a reply to John invested 1/4 of A dollars in an investment fund, and pl in the Problem Solving forum
“=> Total profit = profit on investment fund + profit on savings account = (1/4)A*(-4p/100) + (3/4)A*(p/100) =-4Ap/400 + 3Ap/400 = -Ap/400 Therefore, the answer is A. Answer: A”
July 8, 2018
Max@Math Revolution posted a reply to The relationship between the weight W in pounds and the heig in the Problem Solving forum
“=> From W = 110 +5*(H-60), we have W = 5H – 190, which is the equation of a line of slope 5. Since the slope is the ratio of the increase in the weight to that of the height, the weight is increased by 50 when the height is increased by 10. Therefore, the answer is C. Answer : C”
July 8, 2018
Max@Math Revolution posted a reply to In the x-y plane, y = f(x) = ax^2+bx+c passes through (1,0) in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
July 8, 2018
Max@Math Revolution posted a reply to If the operation % is defined by x % y = px^2 + qy^2 (p and in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
July 8, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 In the xy-coordinate plane in the Problem Solving forum
“KEY CONCEPT: In order for a point to be ON a line, the x- and y-coordinates of the point must satisfy the equation of that line So, for example, the point (3,7) lies ON the line defined by the equation y = 2x + 1, because x = 3 and y = 7 satisfy the equation y = 2x + 1 That is, 7 = 2(3) + 1 ...”
July 7, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Greg assembles units of a certain in the Problem Solving forum
“GIVEN: Total pay for 2 days is $180 In order to MAXIMIZE the number of units assembled on one of the days, we must MINIMIZE the number of units assembled on the other day We''re told that Greg assembled at least 30 units each day. So, the MINIMUM is 30 units Let''s say that Greg assembled 30 ...”
July 7, 2018
Rich.C@EMPOWERgmat.com posted a reply to There are twice as many dog owners as cat owners, and the in the Problem Solving forum
“Hi All, We''re told that there are TWICE as many dog owners as cat owners, the number of owners of both animals is DOUBLE the number of owners that own only a cat and 200 owners own BOTH animals. We''re asked for the number of owners who own only a dog. Sometimes GMAT questions are really just ...”
July 6, 2018
Rich.C@EMPOWERgmat.com posted a reply to Two cyclists start biking from a trail's start 3 hours in the Problem Solving forum
“Hi All, We''re told that two cyclists start biking from a trail''s start 3 hours apart; he second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. We''re asked how much time will pass before the second cyclist catches up with ...”
July 6, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Which of the following is closest in the Problem Solving forum
“ALWAYS check the answer choices before solving the question! When we do so, we see that the answer choices are VERY spread apart, which means we can save a ton of time by being super aggressive with our approximations (aka rounding) So, we get: √[(4.2)(1590)/15.7 ≈ √[(4)(1600)/16] ≈ ...”
July 6, 2018
Max@Math Revolution posted a new topic called John invested 1/4 of A dollars in an investment fund, and pl in the Problem Solving forum
“[GMAT math practice question] John invested 1/4 of A dollars in an investment fund, and placed the remaining 3/4 of A dollars in a savings account. If he made a 4p% loss on the fund, and a p% profit on the savings account, what was his total profit (or loss), in terms of A and p? (A negative ...”
July 6, 2018
Max@Math Revolution posted a reply to In the xy-plane, line L has equation y=mx+b, where 1<m< in the Problem Solving forum
“=> When we plug in the values x = 1 and y = 1, we obtain 1 = m + b or b = 1 – m. All answer choices have x-coordinates of 2. Plugging 2 in for the variable x yields y = 2m + b = 2m + 1 – m = m + 1. Since 1 < m < 5, we must have 2 < m + 1 < 6 and 2 < y < 6. Thus, ...”
July 6, 2018
Max@Math Revolution posted a new topic called In the x-y plane, y = f(x) = ax^2+bx+c passes through (1,0) in the Data Sufficiency forum
“[GMAT math practice question] In the x-y plane, y = f(x) = ax^2+bx+c passes through (1,0) and (2,0). Is f(3)>0? 1) a > 0 2) f(0) > 0”
July 6, 2018
Max@Math Revolution posted a reply to If f(x) = 4x^2 + px, what is the minimum value of f(x)? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
July 6, 2018
Brent@GMATPrepNow posted a reply to Challenge question: In the above figure, the small circle... in the Problem Solving forum
“If we recognize that the hypotenuse of the blue right triangle below is twice the length of one side, we can see that this is a 30-60-90 SPECIAL TRIANGLE https://i.imgur.com/qxIw8NQ.png In the base triangle (on the right), the side opposite the 30° has length 1. So, the magnification factor of ...”
July 5, 2018
Max@Math Revolution posted a new topic called The relationship between the weight W in pounds and the heig in the Problem Solving forum
“[GMAT math practice question] The relationship between the weight W in pounds and the height H in inches of an object is given by the equation, W = 110 +5*(H-60). If the height is increased by 10 inches, by how much does the weight increase? A. 30 pounds B. 40 pounds C. 50 ...”
July 5, 2018
Max@Math Revolution posted a reply to Which of the following equations has a graph that can pass t in the Problem Solving forum
“=> A. x = 1, y = 2 and x = 2, y = 4 lie on this graph. B. Since √2 is irrational, the only point on this graph with integer coordinates is x = 0, y = 1. C. x = 1, y = 0 and x = -1, y = 0 lie on this graph. D. x = 1, y = 1 and x = -1, y = -1 lie on this graph. E. x = 1, y = 0 and ...”
July 5, 2018
Max@Math Revolution posted a new topic called If the operation % is defined by x % y = px^2 + qy^2 (p and in the Data Sufficiency forum
“[GMAT math practice question] If the operation % is defined by x % y = px^2 + qy^2 (p and q are constants), what is the value of 2 % 4? 1) 1 % 2 = 5 2) 1 % 1 = 2”
July 5, 2018
Max@Math Revolution posted a reply to If n is positive integer, is 21 a factor of n? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
July 5, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 In the figure shown in the Problem Solving forum
“Since angles on a line must add to 180°, we can see that there are three 30° angles in our diagram... https://i.imgur.com/V6wFovz.png Next, let''s focus on the BLUE triangle. https://i.imgur.com/cdsQPY8.png Since angles in a triangle must add to 180° (and since we already have two angles ...”
July 4, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 10, 4, 26, 16 in the Problem Solving forum
“Arrange the 4 values in ascending order: {4, 10, 16, 26} Since we have an EVEN number of values, the median will be the average of the 2 middlemost values. So, the median = (10 + 16)2 = 26/2 = 13 Answer: B Cheers, Brent”
July 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to If the least common multiple of positive integer in the Problem Solving forum
“Hi VJesus12, We''re told that the least common multiple of positive integers M and N is 120 and M:N=3:4. We''re asked for the greatest common factor of M and N. If you don''t immediately see how to best approach a question, then you should consider ''brute force'' - so you can then define what ...”
July 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to A pet shop runs a sale on goldfish and platys. in the Problem Solving forum
“Hi All, We''re told that a pet shop runs a sale on goldfish and platys, one customer buys 13 goldfish and 12 platys for $5.60, while another buys 14 goldfish and 21 platys for $8.05. We''re asked for the ratio of the price of a goldfish to the price of a platys. This question can be solved in a ...”
July 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to Machine A produces bolts at a uniform rate of 120 every 40 in the Problem Solving forum
“Hi All, We''re told that Machine A produces bolts at a uniform rate of 120 every 40 seconds and Machine B produces bolts at a uniform rate of 100 every 20 seconds. We''re asked if the two machines run simultaneously, how many seconds will it take for them to produce a total of 200 bolts. The ...”
July 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to Possible to score a 720+ in 6 weeks of full-time study? in the GMAT Strategy forum
“Hi dawncheadle, You seem prepared for the possibility that you might need more study time that you''ve currently planned for, so we can proceed with the idea that you would have about 2 months of study time (although you might need more than that). If you''re already enrolled in a Course, ...”
July 4, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Over the past 7 weeks in the Problem Solving forum
“Average = ($74 + $69 + $64 + $79 + $64 + $84 + $77)/7 = $511/7 = $73 Answer: C Cheers, Brent”
July 4, 2018
Brent@GMATPrepNow posted a reply to When the positive integer x is divided by 11 in the Problem Solving forum
“A fast approach is to find a value of x that meets the given conditions. When the positive integer x is divided by 11, the quotient is y and the remainder 3. When x is divided by 19, the remainder is also 3.... Notice that x = 3 meets the above conditions. 3 divided by 11 = 0 with remainder ...”
July 4, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 The value of the above in the Problem Solving forum
“One option is to replace each fraction in the NUMERATOR with its decimal approximation. 7/8 ≈ 0.88 1/9 ≈ 0.11 1/2 = 0.5 So, (7/8 + 1/9)/(1/2) ≈ (0.88 + 0.11)/(1/2) ≈ (0.99)/(1/2) ≈ 1/(1/2) ≈ 2 Answer: A Cheers, Brent”
July 4, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 If a + b + c = 12 in the Data Sufficiency forum
“Target question: What is the value of b ? Given: a + b + c = 12 Statement 1: a + b = 8 We can take a + b + c = 12 and rewrite it as (a + b) + c = 12 Now replace a+b with 8 to get: (8) + c = 12 Solve: c = 4 Now that we know the value of c, can we find the value of b? No. Let''s ...”
July 4, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 The table shows partial results in the Problem Solving forum
“Since we aren''t told the number of people involved in the survey, let''s make things easier on ourselves and assign a "nice" value to the number of people involved in the survey. Let''s say there were 100 people in the survey. When we apply this to our table, we see that 35 people ...”
July 4, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice \"Math Questions of the Day\" in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
July 4, 2018
Max@Math Revolution posted a new topic called In the xy-plane, line L has equation y=mx+b, where 1<m<5. in the Problem Solving forum
“[GMAT math practice question] In the xy-plane, line L has equation y=mx+b, where 1<m<5. If line L passes through (1,1), which of the following points also lies on line L? A. (2, -1) B. (2,0) C. (2,1) D. (2,2) E. (2,3)”
July 4, 2018
Max@Math Revolution posted a reply to Water enters a cylindrical barrel at a constant speed in the Problem Solving forum
“=> Let r be the radius of the barrel. The area of the water surface 3.14*r2. The volume of water poured in 1 minute is 10*3.14*r^2. Then, 10*3.14*r^2 = 500 or 31.4*r^2 = 500. r^2=500/31.4 ~16. Thus, the radius is approximately 4 cm. Therefore, the answer is D. Answer: D ”
July 4, 2018
Max@Math Revolution posted a new topic called If f(x) = 4x^2 + px, what is the minimum value of f(x)? in the Data Sufficiency forum
“[GMAT math practice question] If f(x) = 4x^2 + px, what is the minimum value of f(x)? 1) f(1) = -4 2) f(2) = 0”
July 4, 2018
Max@Math Revolution posted a reply to If the positive integer n has 4 different factors, n=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
July 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT Official Guide 2019 The research funds of a certain in the Data Sufficiency forum
“Hi All, We''re told that the research funds of a certain company were divided among three departments, X, Y, and Z. We''re asked which one of the three departments received the greatest proportion of the research funds. This question can be solved in a number of different ways, including by ...”
July 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to What is the median of 15 integers? in the Data Sufficiency forum
“Hi vinni.k, We''re asked for the MEDIAN of 15 integers. To find the median of a group of numbers, we must put them in ''order'' from least to greatest. With 15 integers, the median would be the ''8th'' number in that row. 1) Exactly seven of the numbers are greater than 7. With the ...”
July 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to An instructor scored a student's test of 50 questions by in the Problem Solving forum
“Hi All, We''re told that an instructor scored a student’s test of 50 questions by subtracting 2 times the number of incorrect answers from the number of correct answers and that the student answered all of the questions and received a score of 38. We''re asked for the number of questions the ...”
July 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to Possible to score a 720+ in 6 weeks of full-time study? in the GMAT Strategy forum
“Hi dawncheadle, To start, a 560 is a solid initial CAT Score (the average score on the Official GMAT hovers around 540-550 most years). That having been said, many Test Takers spend 3 months (or more) of consistent study time before they hit their ''peak'' scores, so there might be an issue with ...”
July 3, 2018
Brent@GMATPrepNow posted a reply to Challenge question: If j and k are positive integers, and (k in the Problem Solving forum
“Let''s focus on the value of j. Since j is an integer, it must be the case that j^6 equals some power of 6. So, for example, j^6 could equal 29^6. Likewise, j^6 could equal 29^12, because we can rewrite 29^12 as (29^2)^6 in which case, we can see that (29^2)^6 is a power of 6 Likewise, j^6 ...”
July 3, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: In the above figure, the small circle... in the Problem Solving forum
“https://i.imgur.com/XrqxGNd.png In the above figure, the small circle and big circle have diameters of 3 and 6 respectively. If AB||CD, and both circles share the same center, what is the area of the shaded region? A) 9/2 + 2π B) 9/2 + 3π C) 3√3 + 3π D) 6√3 + 2π E) (9/2)√3 + ...”
July 3, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Ron is 4 inches taller than in the Problem Solving forum
“Let A = Amy''s height So, A + 4 = Ron''s height And A + 5 = Barbara''s height If Barbara''s height = 65, then we can write: A + 5 = 65 Solve to get: A = 60 So, Amy''s height is 60, Ron''s height is 64 and Barbara''s height is 65 So, the median height = 64 Answer: E Cheers, Brent”
July 3, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 While a family was away on in the Problem Solving forum
“..... paid a neighborhood boy $11 per week to mow their lawn... So, in 3 weeks, the amount the family paid for lawn-moving = (3 weeks)($11/week) = $33 ...the family paid $4 per DAY to feed and walk their dog... 3 weeks = 21 DAYS So, the amount the family paid for dog care = (21 days)($4/day) = ...”
July 3, 2018
Max@Math Revolution posted a new topic called Which of the following equations has a graph that can pass t in the Problem Solving forum
“[GMAT math practice question] Which of the following equations has a graph that can pass through only one coordinate (x,y) in which both x and y are integers? A. y=2x B. y=√2*x+1 C. y= 1/x^2 - 1 D. y=1/x^3 E. y=(-1/x)+1”
July 3, 2018
Max@Math Revolution posted a new topic called If n is positive integer, is 21 a factor of n? in the Data Sufficiency forum
“[GMAT math practice question] If n is positive integer, is 21 a factor of n? 1) 21 is a factor of 3n 2) 21 is a factor of n^2”
July 3, 2018
ceilidh.erickson posted a reply to GMAT Official Guide 2019 From 2000 to 2003, the number in the Problem Solving forum
“Another strategy is to solve algebraically. Let x = the # of employees in 2000. An increase of 1/4 would mean that we would have 1 + 1/4 --> 5/4. A decrease of 1/3: 1 - 1/3 = 2/3. (original #)(1/4 increase)(1/3 decrease) = number in 2006 x(5/4)(2/3) = 100 x(5/6) = 100 x = 100(6/5) x ...”
July 2, 2018
ceilidh.erickson posted a reply to GMAT Official Guide 2019 The figure above represents a in the Problem Solving forum
“For another exact approach, you could use SIMILAR TRIANGLES: We can create 2 similar right triangles inside the semicircle using h as a side length for each: https://s22.postimg.cc/d97j5vtkd/Screenshot_2018-07-02_14.54.49.png Since side lengths in similar triangles are proportional, we can ...”
July 2, 2018
ceilidh.erickson posted a reply to GMAT Official Guide 2019 The figure above represents a in the Problem Solving forum
“Brent provided a nice solution, but there''s also an easy way to GUESS on this problem: Since h is not the radius but is perpendicular to the diameter, we can infer that it''s shorter than the radius: https://s22.postimg.cc/y0veneael/Screenshot_2018-07-02_14.37.51.png Therefore, we can ...”
July 2, 2018
ceilidh.erickson posted a reply to OG answer might be wrong - in the GMAT Math forum
“Make sure that you''re not assuming that the categories given are COMPREHENSIVE. For example, I could take my earnings and save some of it, pay some of it in taxes, spend some of it on food, give some away to charity... so savings + taxes might not add up to the total earnings. If we were told ...”
July 2, 2018
ceilidh.erickson posted a reply to How to Practice for Questions you Get Wrong? in the GMAT Math forum
“You should definitely revisit these problems! It''s a good idea to go back to them 2 or 3 weeks later so you don''t remember the right answer exactly. More here: https://www.manhattanprep.com/gmat/blog/2017/03/09/why-you-should-be-redoing-gmat-problems/ You should also be carefully tracking the ...”
July 2, 2018
ceilidh.erickson posted a reply to Tips for correcting careless mistakes in GMAT quant section in the GMAT Math forum
“The #1 thing you can do to avoid careless mistakes: TRACK them! Review each question you''ve done deeply, and think about how you could do it better. Don''t just move on to doing more and more problems. Track all mistakes in an ERROR LOG: ...”
July 2, 2018
ceilidh.erickson posted a reply to Need Advice... scored 580 on 1st GMAT, goal is 700 Help! in the GMAT Strategy forum
“Whenever I see students score much lower on the real test than on practice exams (and if, per Rich''s questions, they were taking all exams in test-like conditions), it''s likely test-taking anxiety might be the big issue. Your mental state can have a HUGE impact on your performance! Try to tell ...”
July 2, 2018
ceilidh.erickson posted a reply to At 660-680, how much of an increase is realistic in the GMAT Strategy forum
“You should never be taking practice exams 2 days in a row. This doesn''t give you any time to review and improve from one test to the next! The GMAT is not the sort of test you can cram for. As Rich said, a 660 is a strong starting score, so if you''re studying thoughtfully - with as much focus ...”
July 2, 2018
Brent@GMATPrepNow posted a reply to What is the ratio of 2a to b? in the Data Sufficiency forum
“Target question: What is the ratio of 2a to b? In other words, What is the value of 2a/b? Statement 1: a/b = 2 Take: a/b = 2 Multiply both sides by 2 to get: 2a/b = 4 So, the answer to the target question is 2a/b = 4 Since we can answer the target question with certainty, statement 1 is ...”
July 2, 2018
Brent@GMATPrepNow posted a reply to A certain company employs 6 senior officers and 4 junior in the Problem Solving forum
“Take the task of creating the 4-person committee and break it into stages. Stage 1: Select 3 senior officers Since the order of the selected officers does not matter, we can use combinations. We can select 3 officers from 6 senior officers 6C3 ways (= 20 ways) Stage 2: Select 1 junior ...”
July 2, 2018
Max@Math Revolution posted a new topic called Water enters a cylindrical barrel at a constant speed in the Problem Solving forum
“[GMAT math practice question] Water enters a cylindrical barrel at a constant speed of 500 cm^3/min, and the height of the barrel increases at a constant speed of 10 cm per minute. What is the approximate radius of the barrel, in centimeters? A. 1 B. 2 C. 3 ...”
July 2, 2018
Max@Math Revolution posted a new topic called If the positive integer n has 4 different factors, n=? in the Data Sufficiency forum
“[GMAT math practice question] If the positive integer n has 4 different factors, n=? 1) n has 1 prime factor 2) n<10”
July 2, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 If the circumference of a in the Problem Solving forum
“We have the following: https://i.imgur.com/NccAGgy.png The perimeter of the circle = 25π We can see that the perimeter of the square is GREATER THAN the perimeter of the circle 25π ≈ (25)(3) ≈ 75 So, the perimeter of the square is GREATER THAN 25π Check the answer ...”
July 2, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 If the circumference of a in the Problem Solving forum
“We have the following: https://i.imgur.com/NccAGgy.png The perimeter of the circle = 25π We can see that the perimeter of the square is GREATER THAN the perimeter of the circle 25π ≈ (25)(3) ≈ 75 So, the perimeter of the square is GREATER THAN 25π Check the answer ...”
July 2, 2018
Max@Math Revolution posted a reply to If Alice traveled on a 10 km trip at a constant speed of 25 in the Problem Solving forum
“=> The total time taken for the two trips is 10 / 25 + 48 / 30 = 0.4 + 1.6 = 2 hours. The total distance traveled on the two trips is 10 + 48 = 58 km. Thus, the average speed for the two trips is the total distance over the total time, or 58 / 2 = 29 km / h. Therefore, the answer is C. ...”
July 2, 2018
Max@Math Revolution posted a reply to 693 and n have the same prime factors and n is a multiple of in the Problem Solving forum
“=> Since 693 = 3^2*7*11, the smallest integer multiple of 693 that is greater than 693 with prime factors 3, 7 and 11 only is n = 693*3. Thus, n / 693 = ( 693 * 3 ) / 693 = 3. Therefore, the answer is B. Answer : B”
July 2, 2018
Max@Math Revolution posted a reply to In the xy-plane, the line K passes through a point (a,b), wh in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Condition ...”
July 2, 2018
Max@Math Revolution posted a reply to If m and n are positive integers, m=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
July 2, 2018
Rich.C@EMPOWERgmat.com posted a reply to A polling company reports that there is a 40% chance that in the Problem Solving forum
“Hi All, We''re told that a polling company reports that there is a 40% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she does not to sign Bill X, she will sign either Bill Y or Bill Z, ...”
July 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT Official Guide 2019 A retailer purchased eggs in the Problem Solving forum
“Hi All, We''re told that a retailer purchased eggs at $2.80 per dozen and sold the eggs at 3 eggs for $0.90. We''re asked for the retailer''s gross profit from purchasing and selling 5 dozen eggs(1 dozen eggs = 12 eggs). There are a couple of different ways to go about doing the work here (and a ...”
July 1, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: If j and k are positive integers, and (k in the Problem Solving forum
“If j and k are positive integers, and (k)(j^6) = (29^29)(11^11), then how many possible values of k are there? A) 8 B) 10 C) 12 D) 15 E) 18 Answer: B Difficulty level: 650-700 Source: www.gmatprepnow.com *I''ll post a solution in 2 days”
July 1, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 In a recent town election in the Data Sufficiency forum
“Let F = the number of votes in FAVOR of the proposal Let A = the number of votes AGAINST the proposal Target question: What is the value of F/A? Statement 1: There were 60 more votes in favor of the proposal than against the proposal. In other words, F = A + 60 Let''s TEST some values. ...”
July 1, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Last year $48,000 of a in the Problem Solving forum
“Although I believe it''s best to use one variable to solve this question, we can also use Let x = the amount (in dollars) that ONE employee received Let y = the amount (in dollars) that ONE owner received Each owner received 3 times as much as each employee So, we can write: y = 3x Last year ...”
July 1, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Last year $48,000 of a in the Problem Solving forum
“Each owner received 3 times as much as each employee Let E = the amount (in dollars) that ONE employee received So, 3E = the amount (in dollars) that ONE owner received Last year $48,000 of a certain store''s profit was shared by its 2 owners and their 10 employees. In other words: 3E + 3E + ...”
July 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT Official Guide 2019 A certain restaurant that regularly in the Problem Solving forum
“Hi All, We''re told that a certain restaurant that regularly advertises through the mail has 1,040 cover letters and 3,000 coupons in stock and that in its next mailing, each envelope will contain 1 cover letter and 2 coupons. We''re asked if ALL of the cover letters in stock are used, then how ...”
June 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT Official Guide 2019 Each week, a clothing salesperson in the Problem Solving forum
“Hi All, We''re told that each week, a clothing salesperson receives a commission equal to 15% of the FIRST $500 in sales and 20% of all ADDITIONAL sales that week. We''re asked for the total commission on sales for the week of $1,300. This question comes down to a bit of note-taking and some ...”
June 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT Official Guide 2019 During a trip that they in the Problem Solving forum
“Hi All, We''re told that during a trip that they took together, Carmen, Juan, Maria, and Rafael drove an average (arithmetic mean) of 80 miles each; Carmen drove 72 miles, Juan drove 78 miles, and Maria drove 83 miles. We''re asked how many miles Rafael drove. This question can be solved in a ...”
June 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to The number of defects in the first five cars to come through in the Problem Solving forum
“Hi swerve, We''re told that the number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively and that the sixth car through the production line has either 3, 7, or 12 defects. We''re asked which of the following three values does the MEAN ...”
June 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to On a business trip, 30 percent of 60 sales representatives in the Problem Solving forum
“Hi swerve, We''re told that 30% of 60 sales representatives will be given accommodations at Hotel XYZ and the remaining 70% will be given accommodations at Hotel ABC. However, 55% of the sales representatives prefer to stay at Hotel XYZ and 45% prefer to stay at Hotel ABC. We''re asked for the ...”
June 30, 2018
Brent@GMATPrepNow posted a reply to How old will Fred be in 3 years? in the Data Sufficiency forum
“Let''s solve the question using 2 variables Let F = Fred''s PRESENT age Let G = Gary''s PRESENT age Target question: What is the value of F+3 ? Statement 1: Presently, Fred is 4 times as old as Gary. In other words, F = 4G There are several values of F and G that satisfy the equation F ...”
June 30, 2018
Brent@GMATPrepNow posted a reply to If y is 4 greater than one-fourth of x, and in the Problem Solving forum
“The solutions above demonstrate an algebraic approach. We can also solve the question using the INPUT-OUTPUT approach. Let''s find values for x and y that satisfy the given information (y is 4 greater than one-fourth of x) A nice pair of values is x = 4 and y = 5 When we use these values, ...”
June 30, 2018
Brent@GMATPrepNow posted a reply to Tips for correcting careless mistakes in GMAT quant section in the GMAT Math forum
“If silly mistakes are hurting your score, then it''s important that you identify and categorize these mistakes. Some examples might include: - sloppy writing causes a 7 to mysteriously turn into a 1 - you forget that a question is an EXCEPT question. - you fail to notice crucial information such ...”
June 30, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Of the following, which is in the Problem Solving forum
“1.03 is a little bit BIGGER than 1 4.86 is a little bit SMALLER than 5 So, (1.03)(4.86) will be CLOSE TO (1)(5), aka 5 So, 60.2/(1.03 x 4.86) ≈ 60/(1.03 x 4.86) ≈ 60/5 ≈ 12 Answer: B Cheers, Brent”
June 30, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Robin invested a total of $12,000 in the Data Sufficiency forum
“Let X = The number of dollars invested in investment X Let Y = The number of dollars invested in investment Y Target question: What is the value of Y? Given: Robin invested a total of $12,000 in two investments, X and Y, so that the investments earned the same amount of simple annual ...”
June 30, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Is the sum of the prices of the in the Data Sufficiency forum
“Target question: Is the sum of the prices of the 3 books less than $48 ? Let A = price of the LEAST expensive book (in dollars) Let B = price of the mid-priced expensive book (in dollars) Let C = price of the MOST expensive book (in dollars) So, A < B < C Statement 1: The price of ...”
June 30, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 The figure above represents a in the Problem Solving forum
“Let''s add the radius of 6 feet to the diagram to get: https://i.imgur.com/JSxL60Q.png From here, we can see the right triangle hiding within the diagram, which means we can apply the Pythagorean Theorem. Se can write: h² + 2² = 6² Simplify: h² + 4 = 36 So, we get: h² = 32 This means ...”
June 30, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Is in the Data Sufficiency forum
“Target question: Is (x+1)/(y+1) > x/y ? Statement 1: 0 < x < y This tells us that y is POSITIVE, which means y+1 is also POSITIVE. This means we can safely take the inequality (x+1)/(y+1) > x/y and safely multiply both sides by y When we do so, we get: (y)(x+1)/(y+1) > x ...”
June 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to Tips for correcting careless mistakes in GMAT quant section in the GMAT Math forum
“Hi AE11, In most cases, the ''cause'' of silly mistakes is a lack of proper note-taking. Doing work "in your head" is NEVER the best way to approach a question (and over time, it''s remarkably inefficient - working in that way will end up costing you lots of time AND points). Before I ...”
June 30, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 During a trip that they in the Problem Solving forum
“Let x = the number of miles Rafael drove Average = 80 So, (72 + 78 + 83 + x)/4 = 80 Multiply both sides by 4 to get: 72 + 78 + 83 + x = 320 Simplify: 233 + x = 320 Solve: x = 87 Answer: D Cheers, Brent”
June 29, 2018
Brent@GMATPrepNow posted a reply to Algebra : Applied Problem in the Problem Solving forum
“Here''s a slightly different approach. It takes 8 hours to fill to 3/5 of its capacity. So, in 1/3 the time, we''ll fill 1/3 as much. In other words, in 8/3 hours we can fill 1/5 of the pool. We want to know how long it will take to fill 2/5 of the pool. So, it will take twice as long as ...”
June 29, 2018
Brent@GMATPrepNow posted a reply to Algebra : Applied Problem in the Problem Solving forum
“We know it takes 8 hours to fill to 3/5 of its capacity. We want to know how long it will take to fill the remaining 2/5 of capacity. IMPORTANT: 2/5 is 2/3 as big as 3/5 So, if it takes 8 hours to fill 3/5 of the pool, then the time to fill 2/5 of the pool = (2/3)(8) hours = 16/3 hours = 5 1/3 ...”
June 29, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 A company bought 3 printers in the Data Sufficiency forum
“Let P = price of ONE printer Let S = price of ONE scanner Target question: What is the value of S? Statement 1: The total price of the (3) printers and the (1) scanner was $1,300. So, we can write: 3P + S = 1300 Does this provide enough information to determine the value of S? No. ...”
June 29, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 What is the circumference in the Data Sufficiency forum
“Target question: What is the circumference of circle C ? Statement 1: The radius of circle C is 2π. Useful formula: circumference = (2π)(radius) Now that we know the radius is 2π, the circumference = 2π(2π) = 4π² In other words, the answer to the target question is the circumference ...”
June 29, 2018
Max@Math Revolution posted a new topic called If Alice traveled on a 10 km trip at a constant speed of 25 in the Problem Solving forum
“[GMAT math practice question] If Alice traveled on a 10 km trip at a constant speed of 25 km/h and a 48 km trip at a constant speed of 30 km/h, what was her average speed, in kilometers per hour, for the two trips? A. 26 km/h B. 28 km/h C. 29 km/h D. 30 km/h E. 32 km/h”
June 29, 2018
Max@Math Revolution posted a reply to If An+1=120 + (1/4)An for each positive integer n, and A1=15 in the Problem Solving forum
“=> A1 = 150, A2 = 120 + (1/4)150 = 120 + 32.5 = 152.5. As An is increasing, A12 must lie between 150 and 160. Therefore, the answer is E. Answer: E”
June 29, 2018
Max@Math Revolution posted a new topic called In the xy-plane, the line K passes through a point (a,b), wh in the Data Sufficiency forum
“[GMAT math practice question] In the xy-plane, the line K passes through a point (a,b), where a>0 and b>0. Is the slope of line K greater than 0? 1) Line K passes through the point (-a,-b). 2) Line K passes through the point (c,d), where a>c and b>d”
June 29, 2018
Max@Math Revolution posted a reply to The relationship between the cost (c) and time (t) is given in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
June 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT Official Guide 2019 [The table shows a summary] in the Problem Solving forum
“Hi All, We''re told that the table shows a summary of the ticket sales from four performances of a certain play. We''re asked for the DIFFERENCE between the MAXIMUM and the MINIMUM ticket-sale revenue from a single performance. This question comes down to a little analysis of the given data and ...”
June 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to What is the lowest positive integer that is divisible by in the Problem Solving forum
“Hi VJesus12, We''re asked for the SMALLEST positive integer that is divisible by each of the EVEN integers between 1 and 10, inclusive. This question can be solved rather easily by TESTing THE ANSWERS. Since we''re asked for the SMALLEST number, we should start with Answer A and then work our ...”
June 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to Question: If a apple costs c cents, how many apples in the Problem Solving forum
“Hi VJesus12, We''re told that A apples costs C cents. We''re asked for the number of apples that can be bought for D dollars. This question can be solved by TESTing VALUES. IF... A=2, C=100 and D=1 Then 2 apples cost 100 cents... meaning each apple costs 1/2 dollar. By spending 1 dollar, we ...”
June 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to How to Practice for Questions you Get Wrong? in the GMAT Math forum
“Hi Mrrinali, From your post, it sounds like you are just beginning your studies. Is that the case (or have you studied for some time before now?)? 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 your timeline and ...”
June 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to UCLA Extension Classes? in the GMAT Strategy forum
“Hi dacoffee, You ask a number of good questions; they are essentially Admissions questions though, so you would likely find it useful to ask an Admissions Expert. There''s a forum full of those Experts here: https://www.beatthegmat.com/ask-an-mba-admissions-consultant-f40.html With an EMBA, ...”
June 28, 2018
Max@Math Revolution posted a new topic called 693 and n have the same prime factors and n is a multiple of in the Problem Solving forum
“[GMAT math practice question] 693 and n have the same prime factors and n is a multiple of 693 that is greater than 693. What is the smallest possible value of n/693? A. 2 B. 3 C. 5 D. 7 E. 11”
June 28, 2018
Max@Math Revolution posted a reply to 3^n+3^{n+1}+3^{n+2}/3^{n-2}+3^{n-1}+3^n=? in the Problem Solving forum
“=> $$\frac{\left(3^n+3^{n+1}+3^{n+2}\right)}{\left(3^{n-2}+3^{n-1}+3^n\right)}\ =\ \frac{\left(3^n\left(1+3^1+3^2\right)\right)}{\left(3^{n-2}\left(1+3^1+3^2\right)\right)}=\frac{\left(3^{2+\left(n-2\right)}\cdot13\right)}{\left(3^{n-2}\cdot13\right)}=3^2$$ We can also find the answer by ...”
June 28, 2018
Max@Math Revolution posted a new topic called If m and n are positive integers, m=? in the Data Sufficiency forum
“[GMAT math practice question] If m and n are positive integers, m=? 1) 7^m11^n=847 2) n=2”
June 28, 2018
Max@Math Revolution posted a reply to At a fruit store, apples are sold for $4 per pound and orang in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
June 28, 2018
Max@Math Revolution posted a new topic called [Math Revolution] Practice \"Math Questions of the Day\" in the Helpful Resources forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
June 28, 2018
Brent@GMATPrepNow posted a reply to Allison and Barbara are part of an 8-member dance troupe. in the Problem Solving forum
“Asking,"What fraction of all the possible ensembles that include Allison will also include Barbara?" is the same as asking, "What is the probability that Allison are Barbara are in the same troupe? Step 1: Place Allison in one of the troupes. Step 2: Choose the 3 remaining ...”
June 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to In a certain fraction, the in the Problem Solving forum
“Hi All, We''re told that In a certain fraction, the denominator is 16 GREATER than the numerator and that the fraction is the equivalent to 80 percent. We''re asked for the DENOMINATOR of the fraction. This question can be solved rathe easily by TESTing THE ANSWERS. To start, we have... ...”
June 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to A fence consists of m lengths of fence that are each n feet in the Problem Solving forum
“Hi All, We''re told that a fence consists of M lengths of fence that are each N feet long and a fence post separates each length of fence by its width of X feet. We''re asked for the total length of the fence, including the fence posts on each end. This question can be solved by TESTing VALUES. ...”
June 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to Allison and Barbara are part of an 8-member dance troupe. in the Problem Solving forum
“Hi swerve, We''re told that Allison and Barbara are part of an 8-member dance troupe and that the troupe will be divided into two 4-person ensembles (with each ensemble performing a specialized dance). We''re asked for the fraction of all the possible ensembles that include Allison AND Barbara. ...”
June 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to A train travels from city A to city B. The average speed of in the Problem Solving forum
“Hi swerve, We''re told that a train travels from city A to city B, the average speed of the train is 60 m/hr and it travels the first quarter of the distance at a speed of 90 m/hr. We''re asked for the speed of the train over the remaining distance. This question can be solved in a couple of ...”
June 27, 2018
Brent@GMATPrepNow posted a reply to If a certain vase contains in the Data Sufficiency forum
“Here''s a solution that uses 2 variables Let R = number of roses in the vase Let T = number of tulips in the vase Target question: What is the value of T? Statement 1: The number of roses in the vase is 4 times the number of tulips in the vase. We can write: R = 4T As we can see, ...”
June 27, 2018
Brent@GMATPrepNow posted a reply to Which of the following statements in the Problem Solving forum
“There''s a nice rule that says, "In a set where the numbers are equally spaced, the mean will equal the median." For example, in each of the following sets, the mean and median are equal: {7, 9, 11, 13, 15} {-1, 4, 9, 14} {3, 4, 5, 6} Since consecutive integers are equally spaced, ...”
June 27, 2018
Brent@GMATPrepNow posted a reply to In a certain fraction, the in the Problem Solving forum
“Let N = the numerator Let D = the denominator ...the denominator is 16 greater than the numerator. We can write: D = N + 16 If the fraction is equivalent to 80 percent... We can write: N/D = 80/100 Simplify to get: N/D = 4/5 Cross multiply to get: 5N = 4D ...what is the denominator of ...”
June 27, 2018
Max@Math Revolution posted a new topic called If An+1=120 + (1/4)An for each positive integer n, and A1=15 in the Problem Solving forum
“n+1=120 + (1/4)An for each positive integer n, and A1=150, which of these ranges of values includes A12? A. 110-120 B. 120-130 C.130-140 D. 140-150 E. 150-160”
June 27, 2018
Max@Math Revolution posted a reply to Alice and Bob drive the same car. Alice drives the car for 1 in the Problem Solving forum
“=> Let d be the total distance traveled on the trip. Alice drives (1/4)d and Bob drives (3/4)d. The difference between the distances they drive is (3/4)d – (1/4)d = (1/2)d = 40. Thus, d = 80. Therefore, the answer is B. Answer: B ”
June 27, 2018
Max@Math Revolution posted a new topic called The relationship between the cost (c) and time (t) is given in the Data Sufficiency forum
“[GMAT math practice question] The relationship between the cost (c) and time (t) is given by the equation c=mt+b. If the time is increased by 10, by how many dollars is the cost increased? 1) m=20 2) b=30”
June 27, 2018
Max@Math Revolution posted a reply to If m and n are positive integers, m+n=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
June 27, 2018
Brent@GMATPrepNow posted a reply to If x is negative and y is positive, which of the following in the Problem Solving forum
“The key word here is MUST. So, we''re looking for an expression that must always be positive C. 2y + x If y = 10 and x = -1, then 2y + x = 2(10) + (-1) = 19. So, 2y + x CAN be positive. However, if y = 3 and x = -7, then 2y + x = 2(3) + (-7) = -1. So, 2y + x CAN be negative. Since we''re ...”
June 26, 2018
Brent@GMATPrepNow posted a reply to If x is negative and y is positive, which of the following in the Problem Solving forum
“NOTE: this is one of those questions that require us to check/test each answer choice. In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top. For more on this strategy, see my article: ...”
June 26, 2018
Brent@GMATPrepNow posted a reply to In a sequence of 40 numbers, each term, except for the first in the Problem Solving forum
“Notice that each term is 7 less than the term before it. This means the greatest term will be the first term In other words, term1 = 281 Let''s list a few terms of the sequence and look for a pattern: term1 = 281 term2 = 281 - 7 term3 = 281 - 7 - 7 = 218 - (2)(7) term4 = 281 - 7 - 7 - ...”
June 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to Scored 400 in my GMAT practice exam. Studied for 10 days in the I just Beat The GMAT! forum
“Hi svartika10, You''ve named some highly-competitive Schools, so a strong GMAT Score AND a strong OVERALL profile will be a must. I''ll be happy to answer any GMAT questions that you might have; for Admissions Advice, you would likely find it useful to discuss your profile and plans with an ...”
June 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to Mike's pencil box contains 30 pens. 15 of the pens are red in the Data Sufficiency forum
“Hi All, We''re told that Mike''s pencil box contains 30 pens, 15 of the pens are red, and all of the others are either blue OR black. We''re asked if Mike were to choose a random pen from the pencil box, what is the probability that it would be BLUE. This question can be approached in a couple ...”
June 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to What is 20% of 3x? in the Data Sufficiency forum
“Hi Gmat_mission, We''re asked for the value of 20% of 3X. This question involves a great Algebra ''shortcut'' that you can use to avoid doing lots of math. To answer this question, we need to know the value of X. 1) 40% of 6X equals 12 The information in Fact 1 allows us to create 1 ...”
June 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to Scored 400 in my GMAT practice exam. Studied for 10 days in the I just Beat The GMAT! forum
“Hi svartika10, Many Test Takers spend 3 months (or more) of consistent study time before they hit their ''peak'' scores, so this initial score isn''t too bad if you''ve only been studying for 10 days. Raising a 400 to a 750+ will be a challenging task - and you''ll have to make significant ...”
June 26, 2018
Brent@GMATPrepNow posted a new topic called How old will Fred be in 3 years? in the Data Sufficiency forum
“How old will Fred be in 3 years? (1) Presently, Fred is 4 times as old as Gary. (2) In 10 years, Fred will be 3 times as old as Gary. Answer: C Difficulty level: 550 - 600 Source: www.gmatprepnow.com”
June 26, 2018
Brent@GMATPrepNow posted a reply to Challenge question: In a group of x students, w students are in the Problem Solving forum
“Let''s apply the Double Matrix Method, a technique that can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions). Here, we have a population of students, and the two characteristics are: - taking French ...”
June 26, 2018
Max@Math Revolution posted a new topic called 3^n+3^{n+1}+3^{n+2}/3^{n-2}+3^{n-1}+3^n=? in the Problem Solving forum
“[GMAT math practice question] $$\frac{3^n+3^{n+1}+3^{n+2}}{3^{n-2}+3^{n-1}+3^n}\ =\ ?$$ A. 3^-2 B. 3^-n C. 3^n D. 3^2 E. 1”
June 26, 2018
Max@Math Revolution posted a new topic called At a fruit store, apples are sold for $4 per pound and orang in the Data Sufficiency forum
“[GMAT math practice question] At a fruit store, apples are sold for $4 per pound and oranges are sold for $6 per pound. Is the total weight of apples sold greater than the total weight of oranges sold? 1) The average (arithmetic mean) price of fruit sold is less than $5. 2) The total weight ...”
June 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to Frank has a box containing 6 doughnuts: 3 jellies and 3 in the Problem Solving forum
“Hi All, We''re told that Frank has a box containing 6 doughnuts: 3 jellies and 3 cinnamon twists - and that Frank eats 3 doughnuts (chosen randomly from the box). We''re asked for the probability that he eats the 3 jelly doughnuts. This question can be solved as a Combination Formula question or ...”
June 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to A certain man can row a boat at 12 miles per hour in still in the Problem Solving forum
“Hi swerve, We''re told that a certain man can row a boat at 12 miles per hour in still water, but he is rowing against an 8 miles per hour current. We''re asked how long it will take him to row 6 miles. Since he is rowing AGAINST a current, his speed will be DECREASED by 8 miles/hour. Thus, ...”
June 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to Bob and Alice can finish a job together in 3 hours. in the Problem Solving forum
“Hi swerve, We''re told that Bob and Alice can finish a job together in 3 hours and that Bob can do the job by himself in 5 hours. We''re asked for the percent of the job that Alice does. This is an example of a "Work Formula" question - when you have two entities working together on a ...”
June 25, 2018
Rich.C@EMPOWERgmat.com posted a reply to At 660-680, how much of an increase is realistic in the GMAT Strategy forum
“Hi vy65, To start, both a 660 and 680 are really strong initial CAT Scores (the average score on the Official GMAT hovers around 540-550 most years). Since you''ve been studying for just 2 weeks, you could potentially improve a great deal, if we can define your strengths and weaknesses and you ...”
June 25, 2018
Brent@GMATPrepNow posted a new topic called If y is 4 greater than one-fourth of x, and in the Problem Solving forum
“If y is 4 greater than one-fourth of x, and x ≠ 0, what is the ratio of y to x in terms of x? A) (x² + 16x)/4 B) (4x + 16)/x C) (x + 16)/4x D) (4x + 1)/x E) (x + 16)/x Answer: C Difficulty level: 550-600 Source: www.gmatprepnow.com *I''ll post a solution in 2 days”
June 25, 2018
Brent@GMATPrepNow posted a reply to OG Mixtures Problem in the Problem Solving forum
“This looks like a job for weighted averages! Weighted average of groups combined = (group A proportion)(group A average) + (group B proportion)(group B average) + (group C proportion)(group C average) + ... Mixture X is 40 percent ryegrass Mixture Y is 25 percent ryegrass Let x = the ...”
June 25, 2018
Brent@GMATPrepNow posted a reply to gmat prep question in the Problem Solving forum
“Here''s the complete question (with answer choices): Height of tree on day 0 = 4 Let d = the height increase each year Height of tree at the end of the 1st year = 4+d Height of tree at the end of the 2nd year = 4+d+d = 4 + 2d Height of tree at the end of the 3rd year = 4+d+d+d = 4 + 3d ...”
June 25, 2018
Brent@GMATPrepNow posted a reply to Alice and Bob drive the same car. Alice drives the car for 1 in the Problem Solving forum
“Let T = total distance traveled Alice drives the car for 1/4 of one trip, and Bob drives the car for the remainder of the same trip In other words, Bob drove 3/4 the distance. We can write: (1/4)T = distance Alice drove And (3/4)T = distance Bob drove The difference between the distance ...”
June 25, 2018
Max@Math Revolution posted a new topic called Alice and Bob drive the same car. Alice drives the car for 1 in the Problem Solving forum
“[GMAT math practice question] Alice and Bob drive the same car. Alice drives the car for 1/4 of one trip, and Bob drives the car for the remainder of the same trip. The difference between the distance driven by Bob and the distance driven by Alice is 40 km. What is the total distance travelled ...”
June 25, 2018
Max@Math Revolution posted a new topic called If m and n are positive integers, m+n=? in the Data Sufficiency forum
“[GMAT math practice question] 6.25 If m and n are positive integers, m+n=? 1) m-n=-1 2) n^2<5”
June 25, 2018
Max@Math Revolution posted a reply to Three jars contain the same numbers of balls. 2 balls from t in the Problem Solving forum
“=> Suppose each jar originally contained n balls. After moving balls from the first jar to the second and third jars, the second and the third jars contain n + 2 and n + 4 balls, respectively. So, n+2 : n+4 = 13 : 14 => 13(n+4) = 14(n+2) => 13n + 52 = 14n + 28 => n = 24 ...”
June 25, 2018
Max@Math Revolution posted a reply to When a, b and c are consecutive positive even integers such in the Problem Solving forum
“=> Write a = 2n + 2, b = 2n and c = 2n – 2. We check each of the alternatives. A. ( a – c ) / 2 = ( 2n + 2 – ( 2n – 2 ) ) / 2 = 4 / 2 = 2. B. ( c – a ) / 2 = ( 2n – 2 – ( 2n + 2 ) ) / 2 = -4 / 2 = -2. C. ( a + c ) / 2 = ( 2n + 2 + 2n – 2 ) / 2 = 4n / 2 = 2n. D. ( a + c ...”
June 25, 2018
Max@Math Revolution posted a reply to A law firm charges 1500 dollars in total for jobs that take in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Let T1 and ...”
June 25, 2018
Max@Math Revolution posted a reply to 78% of all students at a school enrolled in an English class in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
June 25, 2018
Rich.C@EMPOWERgmat.com posted a reply to if the slope l is 3 in the Problem Solving forum
“Hi Chrunos, While the the two ''graphing'' rules that you''re asking about are relatively rare on the GMAT, they each have the potential to show up on Test Day, so they''re worth knowing. 1) Parallel lines have the SAME slope. So since the original line has a slope of 3, a parallel line would ...”
June 24, 2018
Brent@GMATPrepNow posted a reply to Within a group of students, x students are taking English, y in the Problem Solving forum
“We can solve this by using the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions). Here, we have a population of students, and the two characteristics are: - ...”
June 24, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: In a group of x students, w students are in the Problem Solving forum
“In a group of x students, w students are taking Chemistry but not French, y students are taking French but not Chemistry, and z students are NOT taking French. Which of the following represents the number of students who are taking Chemistry? A) x - y - z - w B) x - y + z + w C) x - y - z + w ...”
June 24, 2018
Rich.C@EMPOWERgmat.com posted a reply to Profile Evaluation Required For Top MIM in the I just Beat The GMAT! forum
“Hi Akhil127, You''re ultimately asking Admissions questions, so you would likely find it worthwhile to speak with an Admissions Expert about your profile and application plans. There''s a forum full of those Experts here: https://www.beatthegmat.com/ask-an-mba-admissions-consultant-f40.html ...”
June 24, 2018
Brent@GMATPrepNow posted a reply to Challenge: How many positive integers less than 500 begin in the Problem Solving forum
“Here''s a different approach: There are 499 integers from 1 to 499 inclusive. Let''s determine how many of those 499 integers DO NOT meet the condition of beginning with a 3, ending with a 3, or both 1-digit integers that DO NOT begin with a 3, end with a 3, or both 1, 2, 4, 5, 6, 7, 8, ...”
June 22, 2018
Max@Math Revolution posted a new topic called Three jars contain the same numbers of balls. 2 balls from t in the Problem Solving forum
“[GMAT math practice question] Three jars contain the same numbers of balls. 2 balls from the first jar are moved to the second jar and 4 balls from the first jar are moved to the third jar. If the ratio between the numbers of balls in the second and third jars after moving the balls is 13 to ...”
June 22, 2018
Max@Math Revolution posted a reply to If the product of 5 different positive integers is less than in the Problem Solving forum
“=> The greatest possible value of the largest of the integers occurs when the other integers are as small as possible. In other words, the other four integers should be 1,2,3, and 4. We try different values for the fifth integer: 1*2*3*4*5 = 120 1*2*3*4*6 = 144 1*2*3*4*7 = 168 ...”
June 22, 2018
Max@Math Revolution posted a new topic called A law firm charges 1500 dollars in total for jobs that take in the Data Sufficiency forum
“[GMAT math practice question] A law firm charges 1500 dollars in total for jobs that take at most 10 hours to complete, and 100 dollars/hour for jobs that take more than 10 hours to complete. If the firm completed 2 jobs, how many hours did it take to complete the two jobs? 1) The cost of one ...”
June 22, 2018
Max@Math Revolution posted a reply to If m and n are integers greater than 1, is m^n>500? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
June 22, 2018
Rich.C@EMPOWERgmat.com posted a reply to OG Mixtures Problem in the Problem Solving forum
“Hi All, We''re told that seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight, seed mixture Y is 25 percent ryegrass and 75 percent fescue and a mixture of X and Y contains 30 percent ryegrass. We''re asked for the percentage of the weight of the mixture that is seed X. This ...”
June 22, 2018
Rich.C@EMPOWERgmat.com posted a reply to OG PS #171 - Easy Sequence Question! in the Problem Solving forum
“Hi All, We''re told that a sequence 2, 4, 7... is defined by the following: the Nth term is N + 2^(N - 1). We''re asked for the the difference between the sixth and the fifth terms of the sequence. While sequence questions can sometimes look complex, they generally involve basic Arithmetic ...”
June 22, 2018
Rich.C@EMPOWERgmat.com posted a reply to Confusing wording in the Problem Solving forum
“Hi All, We''re asked for the number of prime numbers between 1 and 100 that are factors of 7,150. Based on the Answers, there will be at least one - but no more than five - prime numbers, so a bit of ''brute force'' Arithmetic is really all that''s needed to answer this question. To start, ...”
June 22, 2018
Rich.C@EMPOWERgmat.com posted a reply to Need Advice... scored 580 on 1st GMAT, goal is 700 Help! in the GMAT Strategy forum
“Hi Conor, I''ll be happy to analyze your ESR for you; you can either PM or email it to me. Considering the drop in both your Quant and Verbal Scaled Scores on Test Day (relative to your practice CAT Scores), I''d like to know a bit more about how you took your CATs: 1) Which of these CATs ...”
June 22, 2018
Brent@GMATPrepNow posted a new topic called Within a group of students, x students are taking English, y in the Problem Solving forum
“Within a group of students, x students are taking English, y students are taking Math, and z students are taking both English and Math. Which of the following represents the number of students who are taking English or Math but not both? A) x + y - z B) x + y + z C) 2x + 2y - z D) x + y - 2z ...”
June 21, 2018
Brent@GMATPrepNow posted a reply to When a, b and c are consecutive positive even integers such in the Problem Solving forum
“If a, b and c are consecutive EVEN integers, and a>b>c, then we we know that b is 2 greater than c, and a is 2 greater than b So, we can write: b = c + 2 a = c + 4 Now let''s check the answer choices from E to A -----ASIDE---------------- This is one of those questions that require ...”
June 21, 2018
Max@Math Revolution posted a new topic called When a, b and c are consecutive positive even integers such in the Problem Solving forum
“[GMAT math practice question] When a, b and c are consecutive positive even integers such that a>b>c, which of the following must be an odd integer? A. (a-c)/2 B. (c-a)/2 C. (a+c)/2 D. (a+c)/4 E. (a-c)/4”
June 21, 2018
Max@Math Revolution posted a reply to What is the sum of the remainders when the first 30 positive in the Problem Solving forum
“=> 1, 6, 11, 16, 21 and 26 have remainder 1 when they are divided by 5. 2, 7, 12, 17, 22 and 27 have remainder 2 when they are divided by 5. 3, 8, 13, 18, 23 and 28 have remainder 3 when they are divided by 5. 4, 9, 14, 19, 24 and 29 have remainder 4 when they are divided by 5. 5, 10, 15, ...”
June 21, 2018
Max@Math Revolution posted a new topic called 78% of all students at a school enrolled in an English class in the Data Sufficiency forum
“[GMAT math practice question] 78% of all students at a school enrolled in an English class and 79% enrolled in a Math class. What percent of the students enrolled in neither English nor Math classes? 1) 13% of students enrolled in a Math class only. 2) 12% of students enrolled in an English ...”
June 21, 2018
Max@Math Revolution posted a reply to n is an integer strictly between 10 and 20. What is the valu in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The ...”
June 21, 2018
Rich.C@EMPOWERgmat.com posted a reply to If a represents a single digit and the four digit in the Problem Solving forum
“Hi VJesus12, We''re told that "A" represents a single digit and the four digit integer A12A is divisible by 6. We''re asked for the value of A. This question can be solved with a mix of Number Property Rules and TESTing THE ANSWERS. To start, if you weren''t sure how to do anything ...”
June 21, 2018
Rich.C@EMPOWERgmat.com posted a reply to It costs x dollars each to make the first 1,000 copies of in the Problem Solving forum
“Hi VJesus12, We''re told that it costs X dollars each for the first 1,000 copies of a compact disc and Y dollars to make each subsequent copy. If Z is greater than 1,000, how many dollars will it cost to make Z copies of the compact disc. This question can be solved by TESTing VALUES. IF... ...”
June 21, 2018
Rich.C@EMPOWERgmat.com posted a reply to Need Advice... scored 580 on 1st GMAT, goal is 700 Help! in the GMAT Strategy forum
“Hi conorpope93, Before I can offer you the specific advice that you’re looking for, it would help if you could provide a bit more information on how you''ve been studying and your goals: Studies: 1) How long have you studied? 2) What study materials have you used so far? 3) How have you ...”
June 21, 2018
Brent@GMATPrepNow posted a reply to GMATPrep Exponent Problem in the Problem Solving forum
“4^17 - 2^28 = (2²)^17 - 2^28 = 2^34 - 2^28 = 2^28(2^6 - 1) = 2^26(64- 1) = (2^26)(63) = (2^26)(3)(3)(7) So, the PRIME factors are 2, 3, and 7 Answer: D Cheers, Brent”
June 21, 2018
Brent@GMATPrepNow posted a reply to Problem involving prime factors in the Problem Solving forum
“Important Concept: If integer k is greater than 1, and k is a factor (divisor) of N, then k is not a divisor of N+1 For example, since 7 is a factor of 350, we know that 7 is not a factor of (350+1) Similarly, since 8 is a factor of 312, we know that 8 is not a factor of 313 Now let’s ...”
June 21, 2018
Brent@GMATPrepNow posted a reply to Challenge question: N is a 2-digit integer. When the di in the Data Sufficiency forum
“Target question: What is the value of N? Given: N is a 2-digit integer. When the digits of N are reversed, the resulting number is M. -1 < N – M < 15 Let x = the tens digit of N Let y = the units digit of N So, the VALUE of N = 10x + y When we reverse the digits, we get M = yx ...”
June 20, 2018
Brent@GMATPrepNow posted a reply to If s is a positive integer, is s prime? in the Data Sufficiency forum
“Target question: Is s prime? Given: s is a positive integer Statement 1: 21/s is an integer So, s can equal 1, 3, 7 or 21 If s = 1, the answer to the target question is NO, s is NOT prime If s = 3, the answer to the target question is YES, s IS prime Since we cannot answer the target ...”
June 20, 2018
Brent@GMATPrepNow posted a reply to What is the maximum number of points of intersection of in the Problem Solving forum
“With a quick sketch.... https://i.imgur.com/1knFxvl.png ....we can get 2 points of intersection. With the exception of a formal proof, we''re left on our own accord to find a situation with more than 2 points of intersection. If we can''t identify such a situation, we must go with C ...”
June 20, 2018
Brent@GMATPrepNow posted a reply to Challenge question: Each edge of the above cube has length 1 in the Problem Solving forum
“If we open up the cube, we get something like this.... https://i.imgur.com/9LRJhWQ.png Let x = the distance from A to B https://i.imgur.com/xuj615V.png Since we have a right triangle, we can apply the Pythagorean Theorem to get: 1² + 2² = x² Simplify to get: 1 + 4 = x² So, 5 = x², which ...”
June 20, 2018
Brent@GMATPrepNow posted a reply to A house cost Ms. Jones C dollars in 1965. Three years in the Problem Solving forum
“A house cost Ms. Jones C dollars in 1965. Three years later she sold the house for 25% more than she paid for it. So, 3 years later, the house sold for 1.25C dollars She has to pay a tax of 50% of the gain. (The gain is the selling price minus the cost.) How much tax must Ms. Jones pay? Gain = ...”
June 20, 2018
Brent@GMATPrepNow posted a new topic called Challenge: How many positive integers less than 500 begin in the Problem Solving forum
“How many positive integers less than 500 begin with a 3, end with a 3, or both? A) 149 B) 150 C) 159 D) 199 E) 200 Answer: A Difficulty level: 600 – 650 Source: www.gmatprepnow.com *I''ll post a full solution in 2 days”
June 20, 2018
Brent@GMATPrepNow posted a reply to Challenge: Is AB || CD? in the Data Sufficiency forum
“Target question: Is AB || CD? I''ll use the two shapes below (rectangle and isosceles trapezoid) show that the correct answer is E https://i.imgur.com/zRR75tm.png Statement 1: AC = BD Notice that rectangle and isosceles trapezoid both satisfy the condition that AC = BD ...”
June 20, 2018
Max@Math Revolution posted a new topic called If the product of 5 different positive integers is less than in the Problem Solving forum
“[GMAT math practice question] If the product of 5 different positive integers is less than 200, what is the greatest possible value for the largest of these 5 integers? A. 3 B. 6 C. 7 D. 8 E. 9”
June 20, 2018
Max@Math Revolution posted a reply to If the average of five positive integers is 16, and the in the Problem Solving forum
“=> Since the average of the five positive integers is 16, their sum is 5*16 = 80. So, the four smallest numbers must sum to 80 – 40 = 40. As the integers are positive, the smallest possible median occurs if the integers are 1,1,1,37 and 40. The largest possible median occurs if the ...”
June 20, 2018
Max@Math Revolution posted a new topic called If m and n are integers greater than 1, is m^n>500? in the Data Sufficiency forum
“[GMAT math practice question] If m and n are integers greater than 1, is m^n>500? 1) n>8 2) n>4m”
June 20, 2018
Max@Math Revolution posted a reply to The total price of books A, B, and C is $306. What is the me in the Data Sufficiency forum
“=> Let a, b and c be the prices of books A, B and C, respectively. Since we have 3 variables (a, b and c) and 1 equation, C is most likely to be the answer. So, we should consider conditions 1) & 2) together first. After comparing the number of variables and the number of equations, we ...”
June 20, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: N is a 2-digit integer. When the di in the Data Sufficiency forum
“N is a 2-digit integer. When the digits of N are reversed, the resulting number is M. If -1 < N – M < 15, what is the value of N? (1) The sum of N’s digits is 15. (2) The tens digit of N is 1 greater its units digit Answer: A Difficulty level: 650 - 700 Source: ...”
June 19, 2018
Max@Math Revolution posted a new topic called What is the sum of the remainders when the first 30 positive in the Problem Solving forum
“[GMAT math practice question] What is the sum of the remainders when the first 30 positive integers are divided by 5? A. 50 B. 55 C. 60 D. 65 E. 70”
June 19, 2018
Max@Math Revolution posted a new topic called n is an integer strictly between 10 and 20. What is the valu in the Data Sufficiency forum
“[GMAT math practice question] n is an integer strictly between 10 and 20. What is the value of n? 1) The tens digit of n^2 is 2. 2) The hundreds digit of n^2 is 3.”
June 19, 2018
Rich.C@EMPOWERgmat.com posted a reply to A store reported (OG2016) in the Problem Solving forum
“Hi All, We''re told that a store reported total sales of $385 million for February of this year and the total sales for the same month last year was $320 million. We''re asked for the approximate percent increase in sales. This question can be solved in a couple of different ways, including ...”
June 19, 2018
Rich.C@EMPOWERgmat.com posted a reply to Last year 26 members of a certain club traveled to England in the Problem Solving forum
“Hi All, We''re told that last year 26 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy and that NO members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 11 members traveled to both ...”
June 19, 2018
Rich.C@EMPOWERgmat.com posted a reply to Jackie has two solutions (OG20160 in the Problem Solving forum
“Hi All, This is essentially a Weighted Average question, but it can be solved in a variety of different ways. Since the answer choices are "spread out" numbers, there''s actually a great ''brute force'' approach that you can use to logically answer this question without doing that much ...”
June 19, 2018
Rich.C@EMPOWERgmat.com posted a reply to three-digit code in the Problem Solving forum
“Hi All, We''re told that a three-digit code for certain logs uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 according to the following constraints: the first digit CANNOT be 0 or 1, the second digit MUST be 0 or 1, and the second and third digits CANNOT BOTH be 0 in the same code. We''re asked for ...”
June 19, 2018
Rich.C@EMPOWERgmat.com posted a reply to Applied problems in the Problem Solving forum
“Hi All, We''re told that the total cost for Company X to produce a batch of tools is $10,000 plus $3 per tool and that each tool sells for $8. The gross profit earned from producing and selling these tools is the total income from sales minus the total production cost and a batch of 20,000 ...”
June 19, 2018
Brent@GMATPrepNow posted a reply to Rate my AWA in the GMAT Essays (AWA) forum
“My 2 cents: I like the idea of starting with a summary of the original argument, but your argument summary is only 2 words shorter than the original argument. Your last paragraph deviates from the primary goal of the essay (determine how well the conclusion follows from the premise). Instead, ...”
June 18, 2018
Brent@GMATPrepNow posted a new topic called Challenge: Is AB || CD? in the Data Sufficiency forum
“https://i.imgur.com/qNiBsQb.png Is AB || CD? (1) AC = BD (2) AB = CD Answer: E Difficulty level: 600 - 650 Source: www.gmatprepnow.com *I''ll post a full solution in 2 days”
June 18, 2018
Brent@GMATPrepNow posted a reply to What is the volume of the largest cube that can in the Problem Solving forum
“Let''s first inscribe the largest possible square inside the circle https://i.imgur.com/VYR1e8V.png Since the radius of the cylinder is 2, we know that the DIAMETER = 4 https://i.imgur.com/Gg3toPv.png Since we have a RIGHT TRIANGLE, we can apply the Pythagorean Theorem to get: x² + x² = ...”
June 18, 2018
Brent@GMATPrepNow posted a reply to Help!! in the Data Sufficiency forum
“A certain business printer can print 40 characters per second... 40 x 60 = 2400 So, the business printer can print 2400 characters PER MINUTE ..., which is 4 times as fast as an average printer. 2400/4 = 600 So, the average printer can print 600 characters PER MINUTE If an average printer ...”
June 18, 2018
Brent@GMATPrepNow posted a reply to gmat prep in the Problem Solving forum
“n= 1/3 + 1/3^2 + 1/3^3 = 1/3 + 1/9 + 1/27 = 9/27 + 3/27 + 1/27 = 13/27 ≈ 1/2 Answer: C Cheers, Brent”
June 18, 2018
Brent@GMATPrepNow posted a reply to GMAT PREP QUES in the Problem Solving forum
“-----ASIDE--------------------- A lot of integer property questions can be solved using prime factorization. For questions involving divisibility, divisors, factors and multiples, we can say: If N is divisible by k (i.e., N is a multiple of k), then k is "hiding" within the prime ...”
June 18, 2018
Brent@GMATPrepNow posted a reply to gmat prep q in the Problem Solving forum
June 18, 2018
Brent@GMATPrepNow posted a reply to gmat prep q in the Problem Solving forum
“Here''s the full question... 2^(X+Y)²/ 2^(X-Y)² = 2^(X² + 2XY + Y²)/ 2^(X² - 2XY + Y²) = 2^(4XY) = 2^4 = 16 Answer: D Cheers, Brent”
June 18, 2018
Brent@GMATPrepNow posted a reply to If x is a 3–digit number, is x even? in the Data Sufficiency forum
“Target question: Is x even? Given: x is a 3–digit number, Jump to...... Statements 1 and 2 combined There are several values of x that satisfy BOTH statements. Here are two: Case a: x = 222. In this case, the answer to the target question is YES, x IS even Case b: x = 121. In ...”
June 18, 2018
Brent@GMATPrepNow posted a reply to Which of the following is NOT a possible value of in the Problem Solving forum
“When we scan the answer choices, we can see that 1/(4-x) can never equal 0. To see why, take 1/(4-x) = 0 and multiply each side by (4-x) to get: 1 = 0, doesn''t work. Answer: C B) 4/17 Let 1/(4-x) = 4/17 Cross multiply to get: (1)(17) = (4)(4 - x) Expand: 17 = 16 - 4x Subtract 16 ...”
June 18, 2018
Brent@GMATPrepNow posted a reply to Is a positive? in the Data Sufficiency forum
“All values (positive or negative) of a will satisfy the equation a - a = 0 For example, if a = 3, then we get: 3 - 3 = 0 (works!) Conversely, if a = -3, then we get: -3 - (-3) = 0 (works!) And, if a = 0, then we get: 0 - 0 = 0 (works!) Cheers, Brent”
June 18, 2018
Brent@GMATPrepNow posted a reply to Is a positive? in the Data Sufficiency forum
“Target question: Is a positive? Jump straight to.... Statements 1 and 2 combined There are infinitely many values of a that satisfy BOTH statements. Here are two: Case a: a = 1 (this satisfies BOTH statements). In this case, the answer to the target question is YES, a IS positive Case ...”
June 18, 2018
Brent@GMATPrepNow posted a reply to The size of a television screen is given as the length in the Problem Solving forum
“Let x be the length (and width) of the square screen with diagonal 21 The area of the large screen will be x² Let y be the length (and width) of the square screen with diagonal 19 The area of the small screen will be y² Our goal is to find the value of x² - y² Large TV: If we examine ...”
June 18, 2018
Max@Math Revolution posted a new topic called If the average of five positive integers is 16, and the in the Problem Solving forum
“[GMAT math practice question] If the average of five positive integers is 16, and the largest of the integers is 40, then the median of the five integers could be which of the following? I. 10 II. 15 III. 20 A. I only B. II only C. III only D. I ...”
June 18, 2018
Max@Math Revolution posted a new topic called The total price of books A, B, and C is $306. What is the me in the Data Sufficiency forum
“[GMAT math practice question] The total price of books A, B, and C is $306. What is the median price of books A, B, and C? 1) The price of book A is $102. 2) The price of book B is $20 more than that of book C.”
June 18, 2018
Rich.C@EMPOWERgmat.com posted a reply to Working simultaneously and independently at an identical con in the Problem Solving forum
“Hi All, We''re told that working simultaneously and independently at an identical constant rate, 4 machines of a certain type can produce a total of X units of product P in 6 days. We''re asked for the number of machines that would be needed, working simultaneously and independently at this ...”
June 18, 2018
Rich.C@EMPOWERgmat.com posted a reply to In the xy-plane in the Problem Solving forum
“Hi All, We''re given a line in the xy-plane with equation 3X + 7Y = 9. We''re asked for the SLOPE of that line. When given an equation of this type, the easiest way to find the slope of the line is to ''rewrite'' the equation in "slope-intercept'' format (re: write the equation so that the ...”
June 18, 2018
Rich.C@EMPOWERgmat.com posted a reply to rectangles in the Problem Solving forum
“Hi All, We''re told that the figure shown consists of four differently rectangles, EACH of which has length L and width W and the area of the painting is 4,800 square inches. We''re asked for the width, in inches, of each of the four rectangles. This question can be solved by TESTing VALUES. ...”
June 18, 2018
Rich.C@EMPOWERgmat.com posted a reply to OG answer might be wrong - in the GMAT Math forum
“Hi amogha_cs21, We''re told that Pat SAVED $600 of his earnings last month. We''re asked how much Pat EARNED last month. 1) Pat spent 1/2 of his earnings last month for living expenses and saved 1/3 of the remainder. Since we already know that Pat SAVED $600 last month, we can ''work ...”
June 18, 2018
Max@Math Revolution posted a reply to If n is the product of the squares of 4 different prime numb in the Problem Solving forum
“=> n = p^2q^2r^2s^2 where p, q, r and s are 4 different prime numbers. Then the number of factors of n is (2+1)(2+1)(2+1)(2+1) = 34 = 81. Therefore, the answer is E. Answer: E”
June 18, 2018
Max@Math Revolution posted a reply to x and y are integers such that 4x^2 – y^2 +4x + 4y – 3 = in the Problem Solving forum
“=> 4x^2 – y^2 +4x + 4y – 3 = 0 => 4x^2 + 4x + 1 – y^2 + 4y – 4 = 0 => 4x^2 + 4x + 1 = y^2 - 4y + 4 => (2x+1)^2 = (y-2)^2 Since 2x + 1 is an odd integer, (y-2)^2 is an odd integer and y-2 is an odd integer. Thus, y is also an odd integer. Therefore, the answer is B. ...”
June 18, 2018
Max@Math Revolution posted a reply to △ is one of operations addition, subtraction, multiplicati in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The ...”
June 18, 2018
Max@Math Revolution posted a reply to If x and y are prime numbers, and n is a positive integer, w in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
June 18, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: Each edge of the above cube has length 1 in the Problem Solving forum
“https://i.imgur.com/pCPvPai.png Each edge of the above cube has length 1. If an ant walks from point A to point B along the OUTSIDE of the cube, what is shortest distance the ant must travel? A) √3 B) 2 C) √5 D) √6 E) √7 Answer: C Difficulty level: 700+ Source: ...”
June 17, 2018
Rich.C@EMPOWERgmat.com posted a reply to OG IF m and p are positive integers in the Problem Solving forum
“Hi All, We''re told that If M and P are POSITIVE INTEGERS and M^2 + P^2 < 100. We''re asked for the GREATEST possible value of (M)(P). This question can be solved in a couple of different ways, including by TESTing VALUES. Since the question asks for the greatest possible PRODUCT of M and P, ...”
June 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to Company P in the Problem Solving forum
“Hi All, We''re told that Company P had 15 percent MORE employees in December than it had in January and that Company P had 460 employees in December. We''re asked for the number of employees it had in January. This question can be solved rather easily by TESTing THE ANSWERS (as Mitch has shown). ...”
June 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to sqrt(80) + in the Problem Solving forum
“Hi All, We''re asked for the value of √80 + √125. This question comes down to some standard Radical rules (which you will likely be asked to use 1-2 times on Test Day). You likely already know a number of perfect squares already (1, 4, 9, 16, 25, etc.), so you can square-root each of ...”
June 16, 2018
Brent@GMATPrepNow posted a reply to Permutations/Combinations in the Problem Solving forum
“Take the task of distributing the 12 books and break it into stages Let''s say the children are named A, B and C Stage 1: Select 4 books to give to child A Since the order in which we select the 4 books does not matter, we can use combinations. We can select 4 books from 12 books in 12C4 ...”
June 16, 2018
Brent@GMATPrepNow posted a reply to Probability in the Problem Solving forum
“First, if P(test) = 1/5, then p(NO test) = 1 - 1/5 = 4/5 NOTE: questions with "at least" are often great candidates for using the complement. That is: P(Event A occurs) = 1 - P(Event A does not occur) So, P(miss at least 1 test) = 1 - P(miss no tests) P(miss no tests) P(miss no ...”
June 16, 2018
Brent@GMATPrepNow posted a reply to Probability in the Problem Solving forum
“P(all 3 are same type) = P(all 3 are tennis OR all 3 are cricket OR all 3 are squash) = P(all 3 are tennis) + P(all 3 are cricket) + P(all 3 are squash) = P(1st is tennis AND 2nd is tennis AND 3rd is tennis) + (1st is cricket AND 2nd is cricket AND 3rd is cricket) + P(1st is squash AND 2nd is ...”
June 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to What is the units digit of positive integer p? in the Data Sufficiency forum
“Hi AAPL, We''re told that P is an integer. We''re asked for the UNITS DIGIT of P (re: the "ones digit"). This question can be solved by TESTing VALUES. 1) When P is divided by 10, the remainder is 8. IF.... P = 8, then 8/10 = 0 r 8 and the answer to the question is 8 P = 18, ...”
June 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to Is a < 2? in the Data Sufficiency forum
“Hi nidhips, Co-ordinate Geometry/Graphing is a relatively rare subject on the GMAT; you''ll likely see it just once on Test Day. In that same way, the task of graphing circles is a rare task within a rare category, so you probably won''t need any special knowledge on that subject when you take ...”
June 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to A, B, C are three consecutive positive integers (A>B>C in the Problem Solving forum
“Hi All, We''re told that A, B, C are three consecutive positive integers and A > B > C. We''re asked for the value of the expression (2A +B +3C). This question can be solved rather easily by TESTing VALUES (as Mitch has shown). You could also approach it Algebraically. Since the three ...”
June 16, 2018
Brent@GMATPrepNow posted a reply to w, x, y and z are positive integers such that y < z < in the Data Sufficiency forum
“Target question: What is the value of x? Given: w, x, y and z are positive integers such that y < z < x < w. When w is divided by x, the quotient is y, and the remainder is z. Statement 1: The least common multiple of w and x is 30 There are several values of w and x that ...”
June 15, 2018
Brent@GMATPrepNow posted a reply to Is y = 7? in the Data Sufficiency forum
“Target question: Is y = 7? Statement 1: (x - 4) = 0 This tells us that x = 4, but it provides no information about the value of y Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2: (x - 3)(y - 7) = 0 This tells us that EITHER x = 3 OR y ...”
June 15, 2018
Brent@GMATPrepNow posted a reply to In a certain sequence term_1 = 64 in the Problem Solving forum
“Let''s list a few terms and look for a pattern term1 = 64 = 2^8 term2 = (2^8)(2^2) term3 = (2^8)(2^2)(2^3) term4 = (2^8)(2^2)(2^3)(2^4) . . . term8 = (2^8)(2^2)(2^3)(2^4)(2^5)(2^6)(2^7)(2^8) . . . term11 = (2^8)(2^2)(2^3)(2^4)(2^5)(2^6)(2^7)(2^8)(2^9)(2^10)(2^11) So, ...”
June 15, 2018
Brent@GMATPrepNow posted a reply to If |x - 2| = |x + 3|, x could equal in the Problem Solving forum
“There are 3 steps to solving equations involving ABSOLUTE VALUE: 1. Apply the rule that says: If |x| = k, then x = k and/or x = -k 2. Solve the resulting equations 3. Plug solutions into original equation to check for extraneous roots Given: |x - 2| = |x + 3| case a: x - 2 = x + 3 Subtract ...”
June 15, 2018
Brent@GMATPrepNow posted a reply to \[ \sqrt{16+16}= \] in the Problem Solving forum
June 15, 2018
Brent@GMATPrepNow posted a reply to \[ \sqrt{16+16}= \] in the Problem Solving forum
“Useful rule: √(xy) = (√x)(√y) So, √(16 + 16) = √(32) = √(16 x 2) = √16 x √2 = 4 x √2 = 4√2 Answer: A Cheers, Brent”
June 15, 2018
Brent@GMATPrepNow posted a reply to If n is the product of the squares of 4 different prime numb in the Problem Solving forum
“-----------ASIDE------------------ If the prime factorization of N = (p^a)(q^b)(r^c) . . . (where p, q, r, etc are different prime numbers), then N has a total of (a+1)(b+1)(c+1)(etc) positive divisors. Example: 14000 = (2^4)(5^3)(7^1) So, the number of positive divisors of 14000 = ...”
June 15, 2018
Max@Math Revolution posted a new topic called If n is the product of the squares of 4 different prime numb in the Problem Solving forum
“[GMAT math practice question] If n is the product of the squares of 4 different prime numbers, how many factors does n have? A. 8 B. 16 C. 27 D. 64 E. 81”
June 15, 2018
Max@Math Revolution posted a reply to N is the 36th prime number. N has remainder 1 when it is div in the Problem Solving forum
“=> All prime numbers but 2 are odd integers. Thus, the remainder when N is divided by 2 is 1. Therefore, the answer is C. Answer: C”
June 15, 2018
Max@Math Revolution posted a new topic called △ is one of operations addition, subtraction, multiplication in the Data Sufficiency forum
“[GMAT math practice question] $$\triangle is\ one\ of\ operations\ addition,\ subtraction,\ multiplication\ and\ division.\ What\ is\ the\ value\ of\ \ 2\triangle2?$$ $$1)4\ \triangle\ 2=2$$ $$2)\ 3\triangle1=3$$”
June 15, 2018
Max@Math Revolution posted a reply to If n is a positive integer, is 3^4+3^{n+4} divisible by 5? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
June 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to Is x > 0 ? in the Data Sufficiency forum
“Hi VJesus12, We''re asked if X is greater than 0. This is a YES/NO question and can be approached in a couple of different ways, including by using Number Properties. 1) X < X^2 For X^2 to be greater than X, there are 2 possibilities: 1) X is ANY negative number... at which point the ...”
June 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to In the x-y plane, the coordinates of three consecutive in the Problem Solving forum
“Hi nidhips, To start, you should notice that the questions asks what "could" be the co-ordinate (not "what is" the co-ordinate). This means that there will almost certainly be multiple correct answers to this question - but only one of the 5 given answers is correct. If ...”
June 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to What number is 23 more than three-fourth of itself? in the Problem Solving forum
“Hi VJesus12, We''re asked for the number that is 23 more than three-quarters of itself. Many Test Takers would likely solve this question Algebraically (which is fine), but you can also solve it with a little Arithmetic and TESTing THE ANSWERS. To start, if a number is 23 more than 3/4 of ...”
June 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to On a road, three consecutive traffic lights change after in the Problem Solving forum
“Hi All, We''re told that three consecutive traffic lights change after 36, 42 and 72 seconds respectively and that the lights are first switched on at 9:00 A.M. We''re asked at what time the three will change simultaneously. This question has a couple of great ''shortcuts'' built into it that ...”
June 15, 2018
Brent@GMATPrepNow posted a reply to Is x > 0 ? in the Data Sufficiency forum
“Target question: Is x > 0 ? Let''s go straight to... Statements 1 and 2 combined Statement 1 tells us that x < x² Statement 2 tells us that x < x³ There are several values of x that satisfy BOTH statements. Here are two: Case a: x = 2. Notice that 2 < 2² AND 2 < 2³. ...”
June 14, 2018
Brent@GMATPrepNow posted a reply to If x and y are prime numbers, and n is a positive integer, w in the Data Sufficiency forum
“-------ASIDE---------------- If the prime factorization of N = (p^a)(q^b)(r^c) . . . (where p, q, r, etc are different prime numbers), then N has a total of (a+1)(b+1)(c+1)(etc) positive divisors. Example: 14000 = (2^4)(5^3)(7^1) So, the number of positive divisors of 14000 = (4+1)(3+1)(1+1) ...”
June 14, 2018
June 14, 2018
Brent@GMATPrepNow posted a reply to x and y are integers such that 4x^2 – y^2 +4x + 4y – 3 = in the Problem Solving forum
“Let''s examine the expression in parts 4x² is EVEN for all integer values of x y² not sure 4x is EVEN for all integer values of x 4y is EVEN for all integer values of y 3 is ODD 0 is EVEN So, we get: EVEN – y² + EVEN + EVEN – ODD = EVEN Simplify left side: ODD – y² = EVEN ...”
June 14, 2018
Brent@GMATPrepNow posted a reply to On July 1, 2017, a certain tree was 128 centimeters tall. Ea in the Problem Solving forum
“Let''s create a growth table and look for a pattern year | height in cm 2017: 128 2018: 128(1.5) 2019: 128(1.5)^2 2020: 128(1.5)^3 2021: 128(1.5)^4 2022: 128(1.5)^5 2023: 128(1.5)^6 The tree''s height on July 1, 2023 will be how many centimeters greater than the tree''s height on July ...”
June 14, 2018
Max@Math Revolution posted a new topic called x and y are integers such that 4x^2 – y^2 +4x + 4y – 3 = 0. in the Problem Solving forum
“[GMAT math practice question] x and y are integers such that 4x^2 – y^2 +4x + 4y – 3 = 0. Which of following is true? A. y is an even number. B. y is an odd number. C. y is positive. D. y is negative. E. y is a prime number”
June 14, 2018
Max@Math Revolution posted a reply to When n is divided by 2, 3, 5, 7 and 9, the remainder is 1. W in the Problem Solving forum
“=> Since 2, 3, 5 and 7 are prime numbers, n = 2 ∙3 ∙5 ∙7 ∙k + 1 = 210 ∙k + 1 for some positive integer k. If k = 1, then n = 210 ∙1 + 1 = 211 has remainder 4 when it is divided by 9 since 211 = 9 ∙23 + 4. If k = 2, then n = 210 ∙2 + 1 = 421 has remainder 7 when it is divided ...”
June 14, 2018
Max@Math Revolution posted a new topic called If x and y are prime numbers, and n is a positive integer, w in the Data Sufficiency forum
“[GMAT math practice question] If x and y are prime numbers, and n is a positive integer, what is the number of factors of x^ny^n? 1) xy=6 2) n=2”
June 14, 2018
Max@Math Revolution posted a reply to Is |x|+x <2? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
June 14, 2018
Brent@GMATPrepNow posted a reply to The sum of 3 consecutive numbers is definitely: in the Problem Solving forum
“Another approach: Let x = the smallest integer So, x+1 = the next integer And x+2 = the last integer Sum of 3 consecutive numbers = x + (x+1) + (x+2) = 3x + 3 = 3(x+1) As we can see, the sum MUST be a multiple of 3 Or we can say the sum MUST be a divisible by 3 Answer: C ...”
June 13, 2018
Marty Murray posted a reply to Police officers in Smith County in the Critical Reasoning forum
“To tell the truth, A has some merit as a strengthener. The fact that, in the next county, in all cases in which suspects were shot, the officers involved had SWAT training does seem to confirm that SWAT training is related to the shooting of suspects. From what I have seen of LSAT questions, I ...”
June 13, 2018
Brent@GMATPrepNow posted a reply to N is a 3-digit number, and the sum of its digits is 10. When in the Data Sufficiency forum
“Target question: What is the value of N? Given: N is a 3-digit number, and the sum of its digits is 10. When the digits of N are reversed, the new number is 99 less than N. Let N = wxy, where w, x and y represent the 3 digits in N So, the first equation we can write is: w + x + y = 10 ...”
June 13, 2018
Brent@GMATPrepNow posted a new topic called In a certain sequence term_1 = 64 in the Problem Solving forum
“In a certain sequence, term1 = 64, and for all n > 1, termn = (2^n)(termn-1) What is the value of term11/term8 ? A) 2^3 B) 2^6 C) 2^9 D) 2^27 E) 2^30 Answer: E Difficulty level: 600 - 650 Source: www.gmatprepnow.com * I''ll provide a solution in 2 days”
June 13, 2018
Brent@GMATPrepNow posted a new topic called w, x, y and z are positive integers such that y < z < x < w. in the Data Sufficiency forum
“w, x, y and z are positive integers such that y < z < x < w. When w is divided by x, the quotient is y, and the remainder is z. What is the value of x? (1) The least common multiple of w and x is 30 (2) x³ – 8x² + 12x = 0 Answer: B Difficulty level: 700+ Source: ...”
June 13, 2018
Max@Math Revolution posted a new topic called N is the 36th prime number. N has remainder 1 when it is div in the Problem Solving forum
“[GMAT math practice question] N is the 36th prime number. N has remainder 1 when it is divided by 3 and it has remainder 1 when it is divided by 5. What is the remainder when N is divided by 2? A. -1 B. 0 C. 1 D. 2 E. 3 $$$$ $$$$”
June 13, 2018
Max@Math Revolution posted a reply to If n is the sum of the first 50 positive integers, what is t in the Problem Solving forum
“=> 1 + 2 + 3 + … + 50 = 50*(50 + 1)/2 = 25*51 = 52*3*17 17 is the greatest prime factor of n. Therefore, the answer is D. Answer: D”
June 13, 2018
Max@Math Revolution posted a new topic called If n is a positive integer, is 3^4+3^{n+4} divisible by 5? in the Data Sufficiency forum
“[GMAT math practice question] If n is a positive integer, is 3^4+3^{n+4} divisible by 5? 1) n is an even integer. 2) 3^8 +3^{n+8} is divisible by 5.”
June 13, 2018
Max@Math Revolution posted a reply to Is x<y? in the Data Sufficiency forum
“=> Since we have 2 variables (x and y) and 0 equations, C is most likely to be the answer. So, we should consider conditions 1) & 2) together first. After comparing the number of variables and the number of equations, we can save time by considering conditions 1) & 2) together first. ...”
June 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to OG2018 PS In the figure shown in the Problem Solving forum
“Hi All, We''re told that in the figure shown, AC = 2 and BD = DC = 1. We''re asked for the measure of angle ABD. To start, we know that the drawing is not to scale, so we cannot use the shapes in the picture to estimate an answer. However, we can use any numbers/variables that appear in the ...”
June 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to OG Line L lies in the xy-plane and does not pass through in the Data Sufficiency forum
“Hi All, We''re told that Line L lies in the xy-plane and does NOT pass through the origin. We''re asked for the slope of line L. This question can be solved by TESTing VALUES (and drawing a few pictures as needed). 1) The X-intercept of line L is TWICE the Y-intercept of line L. With the ...”
June 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to For a certain city's library, the average cost in the Data Sufficiency forum
“Hi All, We''re told that for a certain city''s library, the average cost of purchasing each new book is $28, the library receives $15,000 from the city each year and the library also receives a bonus of $2,000 if the total number of items checked out over the course of the year exceeds 5,000. ...”
June 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to A 75-liter solution of cool-drink is made from 8% jasmine in the Problem Solving forum
“Hi All, We''re told that a 75-liter solution of cool-drink is made from 8% jasmine water and that 3 liters of jasmine and 12 liters of water were added to the solution. We''re asked what percent of the new mixture is jasmine. This question can be solved as a Weighted Average. To start, we ...”
June 12, 2018
Brent@GMATPrepNow posted a reply to A 75-liter solution of cool-drink is made from 8% jasmine in the Problem Solving forum
“Your solution isn''t quite correct. A 75-liter solution of cool-drink is made from 8% jasmine water. 8% of 75 = (8/100)(75) = 6 So, the 75 liters is comprises of 6 liters of jasmine If 3 liters of jasmine and 12 liters of water were added to the solution.... We adding 15 liters, so the NEW ...”
June 12, 2018
Brent@GMATPrepNow posted a new topic called On July 1, 2017, a certain tree was 128 centimeters tall. Ea in the Problem Solving forum
“On July 1, 2017, a certain tree was 128 centimeters tall. Each year, the tree''s height increases 50%. Given this growth rate, the tree''s height on July 1, 2023 will be how many centimeters greater than the tree''s height on July 1, 2022? A) (2^2)(3^4) B) (2)(3^4) C) (2)(3^5) D) (4)(3^5) ...”
June 12, 2018
Brent@GMATPrepNow posted a reply to tricky challenge question - Is CB || ED? in the Data Sufficiency forum
“Target question: Is CB || ED? Let''s jump straight to.... Statements 1 and 2 combined Statement 1 tells us that ∆ABC and ∆AED are both isosceles triangles Statement 2 tells us that ∠C = ∠E Let''s start with 2 identical isosceles triangles: https://i.imgur.com/IQe4Cwq.png ...”
June 12, 2018
Max@Math Revolution posted a new topic called When n is divided by 2, 3, 5, 7 and 9, the remainder is 1. W in the Problem Solving forum
“[GMAT math practice question] When n is divided by 2, 3, 5, 7 and 9, the remainder is 1. What is the smallest value of the positive integer n? A. 100 B. 211 C. 421 D. 631 E. 841”
June 12, 2018
Max@Math Revolution posted a new topic called Is |x|+x <2? in the Data Sufficiency forum
“[GMAT math practice question] $$Is\ |x|+x<2?$$ $$1)\ x>-1$$ $$2)\ x<0$$”
June 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to Probability of not selecting something in the Problem Solving forum
“Hi All, We''re told that in a box of 12 pens, a total of 3 are defective and that a customer buys 2 pens selected at random from the box. We''re asked for the probability that neither pen will be defective. This question can be solved in a couple of different ways; treating it as a step-by-step ...”
June 12, 2018
Brent@GMATPrepNow posted a new topic called N is a 3-digit number, and the sum of its digits is 10. When in the Data Sufficiency forum
“N is a 3-digit number, and the sum of its digits is 10. When the digits of N are reversed, the new number is 99 less than N. What is the value of N? (1) The hundreds digit of N is 1 more than its units digit. (2) The tens digit of N is 2 more than its hundreds digit. *solution posted in 2 ...”
June 11, 2018
Brent@GMATPrepNow posted a reply to If n is the sum of the first 50 positive integers, what is t in the Problem Solving forum
“Alternatively, we can use the following formula: Sum of the first k positive integers = (k)(k+1)/2 For example, the sum of the first 10 positive integers = (10)(10 + 1)/2 = 55 So, the sum of the first 50 positive integers = (50)(50 + 1)/2 = (50)(51)/2 = (25)(51) = (5)(5)(3)(17) Answer: ...”
June 11, 2018
Brent@GMATPrepNow posted a reply to If n is the sum of the first 50 positive integers, what is t in the Problem Solving forum
“n = 1 + 2 + 3 + 4 + ...... + 47 + 48 + 49 + 50 Let''s add the values in pairs, starting from the outside and work towards the middle n = (1 + 50) + (2 + 49) + (3 + 48) + . . .. = 51 + 51 + 51 + ..... Since we are adding 50 values (from 1 to 50), we will get 25 PAIRS of values So, n = ...”
June 11, 2018
Brent@GMATPrepNow posted a reply to What is the value of x/3+y/3? in the Data Sufficiency forum
“Target question: What is the value of x/3 + y/3? Statement 1: (x + y)/3 = 6 Nice (and often tested) rule: (a + b)/c = a/c + b/c So, we can rewrite the equation as: x/3 + y/3 = 6 So, the answer to the target question is x/3 + y/3 = 6 Since we can answer the target question with certainty, ...”
June 11, 2018
Brent@GMATPrepNow posted a reply to work in the Problem Solving forum
“Starting point: 3 men, 4 women and 6 children A child does half the work a man does. In other words, 1 child = 1/2 a man This means 6 children = 3 men So, let''s just REPLACE the 6 children with 3 men to get: 6 men and 4 women A woman does double the work a man does In other words, 1 ...”
June 11, 2018
Max@Math Revolution posted a new topic called If n is the sum of the first 50 positive integers, what is t in the Problem Solving forum
“[GMAT math practice question] If n is the sum of the first 50 positive integers, what is the greatest prime factor of n? A. 3 B. 5 C. 7 D. 17 E. 51”
June 11, 2018
Max@Math Revolution posted a new topic called Is x<y? in the Data Sufficiency forum
“[GMAT math practice question] $$Is\ x\ <\ y?$$ $$\left(1\right)\ 3^x\ <\ 2^y$$ $$\left(2\right)\ x\ >\ 0\ and\ y\ >\ 0$$”
June 11, 2018
Max@Math Revolution posted a reply to A college has a soccer club, a tennis club and a basketball in the Problem Solving forum
“=> Let S, T and B be numbers of members in the soccer club, the tennis club and the basketball club, respectively. Since S:T = 2:3 = 8:12 and T:B = 4:5 = 12:15, we have S:T:B = 8:12:15. Let S = 8k, T = 12k and B = 15k. Then S + T + B = 8k + 12k + 15k = 35k = 350, and k = 10. The number of ...”
June 11, 2018
Max@Math Revolution posted a reply to How many integers between 50 and 100, inclusive, are divisi in the Problem Solving forum
“=> Let A be the set of integers between 50 and 100 that are divisible by 2. Let B be the set of integers between 50 and 100 that are divisible by 3. Let C be the set of integers between 50 and 100 that are divisible by both 2 and 3. This is the same as the set of integers between 50 and 100 ...”
June 11, 2018
Max@Math Revolution posted a reply to If xyz=x, is x=0? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
June 11, 2018
Max@Math Revolution posted a reply to In the x-y plane, does the parabola y=ax^2+bx+c have x-inter in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
June 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to OG Clarissa will create her summer reading list in the Problem Solving forum
“Hi All, We''re told that Clarissa will create her summer reading list by randomly choosing 4 books from the 10 books approved for summer reading and she will list the books in the order in which they are chosen. We''re asked for the number of different lists that are possible. The ''math'' ...”
June 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to Problem Solving - Q in the Problem Solving forum
“Hi All, We''re told that N is an integer greater than 6. We''re asked which of the following MUST be divisible by 3. This question can be solved rather easily by TESTing VALUES (as Mitch has shown). There''s also a Number Property ''shortcut'' built into this question that you can take advantage ...”
June 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to NP Decimals in the Problem Solving forum
“Hi All, We''re asked for the value (0.0036)(2.8) / (0.04)(0.1)(0.003) When dealing with lots of decimals, you might find it easiest to deal with one ''small calculation'' at a time. It''s worth noting that you can multiply the ''top'' and ''bottom'' of a fraction by the same number and the ...”
June 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to Arithmetic Percents in the Problem Solving forum
“Hi All, We''re told that yesterday''s closing prices of 2420 different stocks listed on a certain stock exchange were ALL DIFFERENT from today''s closing prices and that the number of stocks that closed at a higher price today than yesterday was 20% greater than the number that closed at a lower ...”
June 11, 2018
Brent@GMATPrepNow posted a reply to In the above diagram, the circle inscribes the larger in the Problem Solving forum
“Another approach is to use the following fact: For GMAT Problem Solving questions (i.e., questions that are NOT data sufficiency questions), all diagrams are DRAWN TO SCALE, unless stated otherwise. So, we can use this to ESTIMATE the area of the larger triangle. We know the smaller ...”
June 10, 2018
Brent@GMATPrepNow posted a reply to In the above diagram, the circle inscribes the larger in the Problem Solving forum
“We''re told that the area of the smaller triangle is √3 USEFUL FORMULA: Area of an equilateral triangle = (√3)(side²)/4 So, we can write: (√3)(side²)/4 = √3 Divide both sides by √3 to get: (side²)/4 = 1 Multiply both sides by 4 to get: side² = 4 Solve: side = 2 So, each side of ...”
June 10, 2018
Brent@GMATPrepNow posted a reply to John traveled 80% of the way from Yellow-twon to Green- in the Problem Solving forum
“Your solution is great. Another option would be to test the answer choices. Cheers, Brent”
June 10, 2018
Brent@GMATPrepNow posted a new topic called tricky challenge question - Is CB || ED? in the Data Sufficiency forum
“https://i.imgur.com/QY581Gp.png Is CB || ED? (1) ∆ABC and ∆AED are both isosceles triangles (2) ∠C = ∠E”
June 10, 2018
Rich.C@EMPOWERgmat.com posted a reply to R = ? in the Problem Solving forum
“Hi All, We''re told that P ≠ 0 and P - (1 - P^2)/P = R/P. We''re asked for the value of R. This question can be solved in a couple of different ways, including by TESTing VALUES. IF....P=2, then we have.... 2 - D GMAT assassins aren''t born, they''re made, Rich”
June 10, 2018
Rich.C@EMPOWERgmat.com posted a reply to OG2016 - fractions in the Problem Solving forum
“Hi All, We''re asked for the value 1/(1+1/3) - 1/ (1+1/2). Most Test Takers would use standard Arithmetic to answer this question (which is fine). By ''converting'' the fractions though, you can get the solution with a little logic and not that much math... 1/(1+1/3) = 1/1.333 1/ (1+1/2) = ...”
June 10, 2018
Rich.C@EMPOWERgmat.com posted a reply to OG Abdul, Barb and Carlos in the Problem Solving forum
“Hi All, We''re told that Abdul, Barb, and Carlos all live on the same straight road, on which their school is also located, the school is HALFWAY between Abdul’s house and Barb’s house and Barb’s house is HALFWAY between the school and Carlos’s house. We''re asked - if the school is 4 ...”
June 10, 2018
Rich.C@EMPOWERgmat.com posted a reply to Currently, y percent of the members on the finance committee in the Problem Solving forum
“Hi All, We''re told that Y percent of the members on the finance committee are women and next month, Z percent of the men on the finance committee will resign. If no other personnel changes occur, then after the resignations next month, the men who remain on the finance committee will represent ...”
June 9, 2018
Brent@GMATPrepNow posted a reply to If x > 0, b > a, and 2x + 5 < 3x + 1, then which of in the Problem Solving forum
“Here''s a useful triangle property: https://i.imgur.com/dLnB7G2.png So, if b > a, then we know that 3x + 1 < 4x - 8 We''re also told that 2x + 5 < 3x + 1 So, we can create the following 3-part inequality: 2x + 5 < 3x + 1 < 4x - 8 Subtract 2x from all 3 sides: 5 < x + 1 ...”
June 9, 2018
Rich.C@EMPOWERgmat.com posted a reply to Train X leaves New York at 1 A.M. and travels east at a in the Problem Solving forum
“Hi All, We''re told that Train X leaves New York at 1 A.M. and travels east at a speed of X miles per hour and train Z leaves New York at 2 A.M. and also travels east on the same route. We''re asked at what rate of speed train Z will have to travel in order to catch train X at exactly 5:30 A.M. ...”
June 9, 2018
Rich.C@EMPOWERgmat.com posted a reply to Speed/Distance in the Problem Solving forum
“Hi vaibhav101, We''re told that John jogs 9 km at a speed of 6 km/hr. We''re asked at what speed he would need to jog during the next 1.5 hrs to have an average speed of 9 km/hr for the entire jogging session. This is an example of a Weighted Average question - and since we''re given all of the ...”
June 8, 2018
Rich.C@EMPOWERgmat.com posted a reply to 12 years out of college, GMAT study plan? in the GMAT Strategy forum
“Hi KDR83, The slight variations in your Quant and Verbal Scaled Score notwithstanding, you certainly appear to be performing at this new higher ''level'', so you should stick with your current study approach. To make sure that your CAT results continue to be as realistic as possible, you should ...”
June 8, 2018
Brent@GMATPrepNow posted a reply to If the sum of the minimum and the maximum of 7 consecutive o in the Problem Solving forum
“One more (longer!) solution. Let x = smallest ODD integer So, x+2 = next (2nd) ODD integer x+4 = next (3rd) ODD integer . . . x + 12 = largest (7th) ODD integer Sum of the minimum and the maximum is 114 So, x + x + 12 = 114 Simplify: 2x + 12 = 114 So, 2x = 102 Solve: x = 51 ...”
June 8, 2018
ceilidh.erickson posted a reply to GMATPrep EP2 :Scientists generally credit violent collisions in the Reading Comprehension forum
“The passage says: "However, plate tectonics cannot fully explain certain massive surface features, such as the “superswell” of southern Africa, a vast plateau over 1,000 miles across and nearly a mile high. Geologic evidence shows that southern African has been slowly rising for the past ...”
June 8, 2018
ceilidh.erickson posted a reply to GMATPrep EP2 :Scientists generally credit violent collisions in the Reading Comprehension forum
“We''re told that convection "was known to enable the horizontal movement of tectonic plates," but "until recently geophysicists were skeptical of its ability to lift or lower the planet’s surface vertically." A) There is no mention of the depth at which convection occurs. ...”
June 8, 2018
ceilidh.erickson posted a reply to GMATPrep EP2 :Scientists generally credit violent collisions in the Reading Comprehension forum
“If "until recently geophysicists were skeptical of its ability to lift or lower the planet’s surface vertically," but recent advances "have allowed geophysicists to make three-dimensional “snapshots” of the mantle ," it can be inferred that they were unable to make these ...”
June 8, 2018
ceilidh.erickson posted a reply to GMATPrep EP2 :Scientists generally credit violent collisions in the Reading Comprehension forum
“This passage follows a very common structure for GMAT RC science passages: - there''s a prevailing theory / something most scientists believe - however, new evidence shows that they were wrong / partially wrong / there''s some aspect we haven''t considered - details about how evidence was ...”
June 8, 2018
ceilidh.erickson posted a reply to At the beginning of February, the ratio of goats to pigs on in the Data Sufficiency forum
“You''ve answered your own question here! This is a common assumption to make... and the GMAT knows this and will exploit it. We can never assume that any situation will hold steady over time unless we''re explicitly told so. Even if you held this assumption that "no info about pigs = pigs ...”
June 8, 2018
ceilidh.erickson posted a reply to Sentence Correction in the Sentence Correction forum
“For more on IF + THEN structures that test verb tenses, see: https://www.beatthegmat.com/verb-tense-question-on-verbal-review-t280381.html#733298 https://www.beatthegmat.com/a-simple-truth-about-children-is-that-if-they-feel-loved-and-t228280.html#637051 ...”
June 8, 2018
ceilidh.erickson posted a reply to Sentence Correction in the Sentence Correction forum
“The structure "if ____, then ____" implies CAUSE + EFFECT. Logically, the cause must happen before the effect. Therefore, the verb tenses must follow suit. "If expenditures... are reduced..." --> present tense. It''s hypothetical, so this reduction hasn''t happened yet, but ...”
June 8, 2018
ceilidh.erickson posted a reply to 530 on first GMATPrep CAT exam... need advice! in the GMAT Strategy forum
“Rich is right - finishing 30 min early on each section definitely means you were rushing! There were probably lots of instances of missing key pieces of information, making too-easy assumptions, falling for trap answers, etc. To get a 700, you''ll need your Quant score to be above a 45 and your ...”
June 8, 2018
ceilidh.erickson posted a reply to 5 Time Test Taker...The Climb to 750 in the I just Beat The GMAT! forum
“Congratulations on achieving an incredibly impressive score! Putting in the work was a necessary prerequisite, but shifting your mindset to focus on good process seems like it was the decisive factor. Your path worked well for you, but for anyone else reading this, I want to issue a caution - ...”
June 8, 2018
Brent@GMATPrepNow posted a reply to If x and y are integers, and x/y = 1.64, which in the Problem Solving forum
“Given: x/y = 1.64 Rewrite as: x/y = 164/100 Simplify: x/y = 41/25 So, it''s possible that x = 41 and y = 25 We can also create infinitely many fractions that are EQUIVALENT to 41/25 For example, we can take 41/25 and multiply top and bottom by 2 to get: 82/50 So, it''s possible that x = 82 ...”
June 8, 2018
Brent@GMATPrepNow posted a reply to Train X leaves New York at 1 A.M. and travels east at a in the Problem Solving forum
“Train X leaves at 1 A.M. and Train Z leaves New York at 2 A.M. When they meet at 5:30 A.M., Train X''s travel time will be 4.5 hours, and Train Z''s travel time will be 3.5 hours Also recognize that, when the trains meet, they both will have traveled the same distance. We know that Train X ...”
June 8, 2018
Brent@GMATPrepNow posted a new topic called In the above diagram, the circle inscribes the larger in the Problem Solving forum
“https://i.imgur.com/BywBeDq.png In the above diagram, the circle inscribes the larger equilateral, and it circumscribes the smaller equilateral triangle. If the area of the smaller triangle is √3, what is the area of the larger triangle? A) 9π - 16√3 B) 4√3 C) 8√3 D) 16√3 E) ...”
June 8, 2018
Max@Math Revolution posted a new topic called A college has a soccer club, a tennis club and a basketball in the Problem Solving forum
“[GMAT math practice question] A college has a soccer club, a tennis club and a basketball club. Students can enroll in only one of these three clubs. The ratio of the number of soccer club members to the number of tennis club members is 2:3. The ratio of the number of tennis club members to ...”
June 8, 2018
Max@Math Revolution posted a reply to If the sum of the minimum and the maximum of 7 consecutive o in the Problem Solving forum
“=> Let the 7 consecutive odd integers be 2n-5, 2n-3, 2n-1, 2n+1, 2n+3, 2n+5, and 2n+7. Then their minimum is 2n-5 and their maximum is 2n+7. The sum of the maximum and minimum is ( 2n – 5 ) + ( 2n + 7 ) = 4n + 2 = 114 and so n = 28. Since the average and the median of consecutive odd ...”
June 8, 2018
Max@Math Revolution posted a new topic called If xyz=x, is x=0? in the Data Sufficiency forum
“[GMAT math practice question] If xyz=x, is x=0? 1) yz=0 2) xy=0”
June 8, 2018
Max@Math Revolution posted a reply to In the coordinate plane, is the x-intercept of the line ax + in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
June 8, 2018
Rich.C@EMPOWERgmat.com posted a reply to At a certain organisation, the number of in the Problem Solving forum
“Hi All, We''re told that at a certain organization, the number of male members went up by 12% in the year 2001 from the year 2000, the number of females members went down by 6% in the same time period and the total membership at the organization went up by 1.2% from the year 2000 to 2001. We''re ...”
June 8, 2018
Rich.C@EMPOWERgmat.com posted a reply to A rectangular tiled patio is composed of 70 square tiles. in the Problem Solving forum
“Hi M7MBA, We''re told that a rectangular tiled patio is composed of 70 square tiles. The rectangular patio will be rearranged so that there will be 2 FEWER columns of tiles and 4 MORE rows of tiles and after the change in layout, the patio will still have 70 tiles, and it will still be ...”
June 8, 2018
Rich.C@EMPOWERgmat.com posted a reply to In the x-y plane, the coordinates of three consecutive in the Problem Solving forum
“Hi BTGmoderatorLU, We''re told that in the x-y plane, the coordinates of three consecutive vertices of a rectangle are (2A, B), (-2A, B), (-2A, -3B), A and B are both INTEGERS with A < 0 and B > 0. We''re asked which of the following COULD be the coordinates of the fourth vertex? TESTing ...”
June 8, 2018
Rich.C@EMPOWERgmat.com posted a reply to 12 years out of college, GMAT study plan? in the GMAT Strategy forum
“Hi KDR83, Since there are 6 Official GMAC CATs, you shouldn''t worry about ''wasting'' one of them. That having been said, if you wanted to wait a couple of days before taking that next CAT, then that shouldn''t be a problem (nor would pushing off on taking an Official CAT and take an MGMAT CAT ...”
June 8, 2018
Brent@GMATPrepNow posted a reply to On entering the stadium, cheers greeted them in the Sentence Correction forum
“A. On entering the stadium, cheers greeted them We get: ...cheers greeted them as a sign of universal approval... So, the PEOPLE were a sign of approval? This doesn''t make sense. The CHEERS were a sign of approval. ELIMINATE A ELIMINATE D and E for the same reason. B. On entering the ...”
June 7, 2018
Brent@GMATPrepNow posted a reply to inference in the Critical Reasoning forum
“When answering inference questions on the GMAT, are looking for the answer choice that MUST follow from the premises. So, as we examine the answer choices, we must aggressively eliminate any answer choice that does not necessarily follow from the premises. (A) Individuals who are underweight do ...”
June 7, 2018
Brent@GMATPrepNow posted a reply to One gallon of soft drink is made of 40% orange juice and 60% in the Problem Solving forum
“IMPORTANT CONCEPT: when we combine EQUAL amounts of two mixtures, the concentration of the resulting mixture will be the AVERAGE of the two mixtures. For example, if we combine 1 liter of a 10% salt solution with 1 liter of a 40% salt solution, the RESULTING solution will be 25% salt, since ...”
June 7, 2018
Brent@GMATPrepNow posted a reply to When positive integer N is divided by 18, the remainder is x in the Problem Solving forum
“Let''s examine each statement separately... i) x = 9 and y = 3 Let''s come up with a value of N that satisfies this condition. How about N = 9? 9 divided by 18 = 0 with remainder 9 (i.e., x = 9) ...and 9 divided by 6 = 1 with remainder 3 (i.e., y = 3) Perfect, statement i is TRUE Check the ...”
June 7, 2018
Brent@GMATPrepNow posted a new topic called If x > 0, b > a, and 2x + 5 < 3x + 1, then which of the in the Problem Solving forum
“https://i.imgur.com/jteIDVs.png If x > 0, b > a, and 2x + 5 < 3x + 1, then which of the following COULD be a value of x? i) 4.39 ii) 7.17 iii) 9.27  A) i and ii only B) ii and iii only C) i and iii only D) iii only E) i, ii and iii Answer: D Difficulty level: 600 – ...”
June 7, 2018
Max@Math Revolution posted a new topic called How many integers between 50 and 100, inclusive, are divisi in the Problem Solving forum
“[GMAT math practice question] How many integers between 50 and 100, inclusive, are divisible by 2 or 3? A. 35 B. 37 C. 42 D. 47 E. 52”
June 7, 2018
Max@Math Revolution posted a reply to The test scores of students at a school have a distribution in the Problem Solving forum
“https://s33.postimg.cc/eosabm6dn/6.5.png => 50% – ( 68% / 2 ) = 16% Therefore, D is the answer. Answer: D”
June 7, 2018
Max@Math Revolution posted a new topic called In the x-y plane, does the parabola y=ax^2+bx+c have x-inter in the Data Sufficiency forum
“[GMAT math practice question] In the x-y plane, does the parabola y=ax^2+bx+c have x-intercepts? 1) b^2-4ac<0 2) a<0”
June 7, 2018
Max@Math Revolution posted a reply to What is the largest of three consecutive even integers? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Let 2k – ...”
June 7, 2018
Rich.C@EMPOWERgmat.com posted a reply to At the beginning of February, the ratio of goats to pigs on in the Data Sufficiency forum
“Hi vinni.k, We''re told that at the beginning of February, the ratio of goats to pigs on a certain farm was 7 to 6 - meaning that the number of goats MUST be a multiple of 7 and the number of pigs MUST be a multiple of 6 (for example, 7 goats and 6 pigs, 14 goats and 12 pigs, 21 goats and 18 ...”
June 7, 2018
Rich.C@EMPOWERgmat.com posted a reply to What is the value of 2x/3y? in the Data Sufficiency forum
“Hi All, We''re asked for the value of 2X/3Y. This question can be solved by TESTing VALUES. 1) (X^2)/(Y^2) = 36/25 IF.... X=6, Y=5, then the answer to the question is 12/15 = 4/5 X=6, Y= -5, then the answer to the question is 12/-15 = -4/5 Fact 1 is INSUFFICIENT 2) X^5/Y^5 > 1 ...”
June 7, 2018
Rich.C@EMPOWERgmat.com posted a reply to If ab ≠ 0, does a=b? in the Data Sufficiency forum
“Hi All, We''re told that (A)(B) ≠ 0. We''re asked if A = B. This is a YES/NO question. We can solve it by TESTing VALUES. 1) X^A = X^B IF... X=1, A=1, B=1, then the answer to the question is YES. X=1, A=1, B= -1, then the answer to the question is NO. Fact 1 is INSUFFICIENT 2) ...”
June 7, 2018
Brent@GMATPrepNow posted a reply to In the coordinate plane, is the x-intercept of the line ax + in the Data Sufficiency forum
“Target question: Is the x-intercept less than 0? This is a good candidate for rephrasing the target question. Aside: Here’s a video with tips on rephrasing the target question: The x-intercept is the point where a line crosses the x-axis. At this point, the y-coordinate is ZERO So, the ...”
June 6, 2018
Max@Math Revolution posted a new topic called If the sum of the minimum and the maximum of 7 consecutive o in the Problem Solving forum
“[GMAT math practice question] If the sum of the minimum and the maximum of 7 consecutive odd integers is 114, what is the average (arithmetic mean) of the seven integers? A. 19 B. 38 C. 57 D. 76 E. 114”
June 6, 2018
Max@Math Revolution posted a reply to When x and n are positive integers, if x^{2n}>(3x)^n, whi in the Problem Solving forum
“=> x^{2n}>(3x)^n => x^{2n} > 3^nx^n => x^n > 3^n => x > 3 Therefore, A is the answer. Answer: A”
June 6, 2018
Max@Math Revolution posted a new topic called In the coordinate plane, is the x-intercept of the line ax + in the Data Sufficiency forum
“[GMAT math practice question] In the coordinate plane, is the x-intercept of the line ax + by + c = 0 less than 0? 1) ac > 0 2) bc > 0”
June 6, 2018
Max@Math Revolution posted a reply to Is xy<0? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
June 6, 2018
Brent@GMATPrepNow posted a reply to \[ \frac{49^2-35^2}{14}= \] in the Problem Solving forum
“My bad. Here''s the video for squaring numbers that end in 5: https://www.gmatprepnow.com/module/gmat-powers-and-roots/video/1024 Cheers, Brent”
June 6, 2018
Brent@GMATPrepNow posted a reply to How many of the positive divisors of 120 are also multiples in the Problem Solving forum
“Alternatively, we can just list all divisors in an systematic fashion. We''ll list the divisors in PAIRS of numbers that have a product of 120: 1 and 120 2 and 60 3 and 40 4 and 30 5 and 24 6 and 20 8 and 15 10 and 12 DONE Scanning our list, the multiples of 4 are in red There are 7 ...”
June 6, 2018
Brent@GMATPrepNow posted a reply to Rene aerns $8.50 per hour on days other than Sundays and in the Problem Solving forum
“Your solution is great. Here''s one small tip for reducing your calculations by one. Once we know that Rene''s earnings = (32)(8.5) + (8)(17), we can use a nice technique called "Multiplication by Halving and Doubling" It goes like this: AB = (A/2)(2B) For example: (18)(3.5) = ...”
June 6, 2018
Brent@GMATPrepNow posted a new topic called If x and y are integers, and x/y = 1.64, which in the Problem Solving forum
“If x and y are integers, and x/y = 1.64, which of the following CANNOT be a value of x? A) -656 B) -82 C) 123 D) 205 E) 288 Answer: E Difficulty level: 550 – 600 Source: www.gmatprepnow.com”
June 6, 2018
Rich.C@EMPOWERgmat.com posted a reply to In the x-y plane, the coordinates of three consecutive in the Problem Solving forum
“Hi BTGmoderatorLU, We''re told that in the x-y plane, the coordinates of three consecutive vertices of a rectangle are (2A, B), (-2A, B), (-2A, -3B), A and B are both INTEGERS with A < 0 and B > 0. We''re asked which of the following COULD be the coordinates of the fourth vertex? TESTing ...”
June 6, 2018
Rich.C@EMPOWERgmat.com posted a reply to 12 years out of college, GMAT study plan? in the GMAT Strategy forum
“Hi KDR83, Given this improvement in your CAT Scores, it might be that continuing to (re)familiarize yourself with all of the content will help you to continue to improve. As such, I suggest that you continue to study as you like for the next couple of weeks, then take a new, FULL-LENGTH CAT. ...”
June 6, 2018
Rich.C@EMPOWERgmat.com posted a reply to Need Advice in profile evaluation & analyse mistake in G in the I just Beat The GMAT! forum
“Hi sudave, The process of applying to (and ultimately attending) Business School will require a big investment of time, money and energy on your part, so you really should make sure that the Programs that you apply to match YOUR career goals/needs. There are a variety of factors that go into ...”
June 6, 2018
Brent@GMATPrepNow posted a reply to 30^20 – 20^20 is divisible by all in the Problem Solving forum
“Here are some useful divisibility rules: 1. If integers A and B are each divisible by integer k, then (A + B) is divisible by k 2. If integers A and B are each divisible by integer k, then (A - B) is divisible by k 3. If integer A is divisible by integer k, BUT integer B is NOT divisible by ...”
June 5, 2018
Brent@GMATPrepNow posted a new topic called When positive integer N is divided by 18, the remainder is x in the Problem Solving forum
“When positive integer N is divided by 18, the remainder is x. When N is divided by 6, the remainder is y. Which of the following are possible values of x and y? i) x = 9 and y = 3 ii) x = 16 and y = 2 iii) x = 13 and y = 7 A) i only B) i and ii only C) i and iii only D) ii and iii only ...”
June 5, 2018
Brent@GMATPrepNow posted a reply to A straight line has a slope of 1/2 and a y-intercept of in the Problem Solving forum
“Given this information, we can write the equation for the line in slope y-intercept form, y = mx + b, where m = the slope and b = the y-intercept We''re told that the slope is 1/2 and the y-intercept is -2 So, the equation of the line is: y = (1/2)x + (-2) Simplify to get: y = (1/2)x - 2 ...”
June 5, 2018
Brent@GMATPrepNow posted a reply to If -10 < k < 10, is k > 0? in the Data Sufficiency forum
“Target question: Is k > 0 Given: -10 < k < 10 Statement 1: 1/k > 0 In other words, 1/k is POSITIVE Since 1 is positive, we can write: POSITIVE/k = POSITIVE From this, we can conclude that k must be POSITIVE So, the answer to the target question is YES, it is the case that ...”
June 5, 2018
Brent@GMATPrepNow posted a reply to If 2x = 3y = 10, then 12xy = ? in the Problem Solving forum
“Mitch has already demonstrated the fastest/best approach, but even if you didn''t see that approach, we can always solve the question by first solving the equations for x and y. Here''s what I mean..... GIVEN: 2x = 10 Solve to get: x = 5 GIVEN: 3y = 10 Solve to get: y = 10/3 So, 12xy ...”
June 5, 2018
Max@Math Revolution posted a new topic called The test scores of students at a school have a distribution in the Problem Solving forum
“[GMAT math practice question] The test scores of students at a school have a distribution that is symmetric about the mean m. 68 percent of the test scores lie within one standard deviation d of the mean. If the average score of students at the school is 65 and the standard deviation is 5 ...”
June 5, 2018
Max@Math Revolution posted a new topic called What is the largest of three consecutive even integers? in the Data Sufficiency forum
“[GMAT math practice question] What is the largest of three consecutive even integers? 1) The smallest integer is 6. 2) Their average is 8.”
June 5, 2018
Brent@GMATPrepNow posted a reply to When x and n are positive integers, if x^{2n}>(3x)^n, whi in the Problem Solving forum
“Let''s find some values that satisfy the given condition that x^{2n} > (3x)^n How about x = 4 and n = 1. When we plug in these values we get: 4^2 > 12^1, which simplifies to 16 > 12. PERFECT. Which of the following must be true? A. x>3 One possible solution is n = 4. This ...”
June 4, 2018
Max@Math Revolution posted a new topic called When x and n are positive integers, if x^{2n}>(3x)^n, which in the Problem Solving forum
“[GMAT math practice question] When x and n are positive integers, if x^{2n}>(3x)^n, which of the following must be true? A. x>3 B. n>1 C. x=3 D. n=3 E. x=n”
June 4, 2018
Max@Math Revolution posted a new topic called Is xy<0? in the Data Sufficiency forum
“[GMAT math practice question] Is xy<0? 1) |x+y| < |x| + |y| 2) |x| - |y| < | x – y |”
June 4, 2018
Max@Math Revolution posted a reply to In the sequence {A_n}, A1=1 and An = 3An-1 + 1 for all posit in the Problem Solving forum
“=> The units digit of A_{100} will be the remainder when A_{100} is divided by 10. Using the formula A_n = 3A_{n – 1} + 1 yields A2 = 3A1 + 1 = 3*1 + 1 = 3 + 1 = 4 ~ 4 A3 = 3A2 + 1 = 3*4 + 1 = 13 ~ 3 A4 = 3A3 + 1 ~ 3*3 + 1 = 10 ~ 0 A5 = 3A4 + 1 ~ 3*0 + 1 ~ 1 In general, we have: A1 ...”
June 4, 2018
Max@Math Revolution posted a reply to If x≠2y, then in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. When a ...”
June 4, 2018
Max@Math Revolution posted a reply to In the sequence {An}, A1=1 and An=An-1+ …. +A1. What is th in the Problem Solving forum
“=> Now, A10 = A9 + … + A1. So, A11 = A10 + (A9 + … + A1) = A10 + A10 = 2A10 And A12 = A11 + (A10 + … + A1) = A11 + A11 = 2A11 = 2*2A10 = 4A10. Thus, the ratio of A12 to A10 is 4 to 1. Therefore, the answer is C. Answer : C”
June 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to If P, Q, and R are distinct positive digits and the product in the Problem Solving forum
“Hi AAPL, Your approach is spot-on. When dealing with these types of questions, Number Property rules and pattern-recognition can often be quite helpful (and can help you to work through the math in an efficient fashion). First, we''re multiplying two 2-digit numbers together and ending up with ...”
June 4, 2018
Brent@GMATPrepNow posted a reply to progressions in the Problem Solving forum
“What''s the source of this question? It''s very un-GMAT-like. First, students aren''t required to know what an A.P. is. Second, {19, 19/5, 87/5,...} this is not an arithmetic progression (A.P.). Third, what do you mean by "maximum sum"? Are you thinking of an infinite GEOMETRIC ...”
June 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to An employee identification code consists of a vowel followed in the Problem Solving forum
“Hi swerve, We''re told that an employee identification code consists of a vowel followed by 3-digit number greater than 200 and EXACTLY 2 of the 3 digits in the code should be IDENTICAL. We''re asked for the number of different codes that are possible. To start, there are 5 vowels in the ...”
June 4, 2018
Max@Math Revolution posted a reply to If f(x) = x^2 - x + 1, is f(p)>f(q)? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
June 4, 2018
Brent@GMATPrepNow posted a reply to A certain team consists of 4 professors and 6 teaching in the Problem Solving forum
“When we see a counting question involving "at least", we should consider using the nice rule: Total number of outcomes that FOLLOW a rule = (TOTAL number of outcomes that IGNORE the rule) - (number of outcomes that BREAK the rule) Here, we have: Total number of teams with AT LEAST one ...”
June 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to A certain team consists of 4 professors and 6 teaching in the Problem Solving forum
“Hi swerve, We''re told that a certain team consists of 4 professors and 6 teaching assistants. We''re asked for the number of different teams of 3 can be formed in which AT LEAST one member of the group is a professor? (Two groups are considered different if at least one group member is ...”
June 4, 2018
Brent@GMATPrepNow posted a reply to progressions in the Data Sufficiency forum
“Please note that the GMAT test-makers don''t assume that students know what an arithmetic progression is. In the past, when they''ve used the term "arithmetic sequence", they have also defined the term. Cheers, Brent”
June 4, 2018
Brent@GMATPrepNow posted a reply to If m = 0.008163 and M the decimal obtained by rounding m to in the Problem Solving forum
“Given: m = 0.008163 The digit 1 is in ten thousandth place of 0.008163 Since next digit (in the hundred thousandth position) is greater than 4, we must ROUND UP So, when we round 0.008163 to the nearest to ten thousandth, we get: 0.0082 In other words, M = 0.0082 So, M + m = 0.0082 + ...”
June 4, 2018
Brent@GMATPrepNow posted a reply to If P, Q, and R are distinct positive digits and the product in the Problem Solving forum
“That''s a perfect approach. The hardest part is looking for two 2-digit numbers that have a product of 221!! Cheers, Brent”
June 4, 2018
Brent@GMATPrepNow posted a reply to On a road trip, Kip drove one-quarter the distance at an ave in the Problem Solving forum
“Since we aren''t told the total distance, let''s assign a nice value to the distance. Let''s say 32 miles = TOTAL distance. So, each quarter = 8 miles Average speed = total distance/total travel time So, we must find the travel time for EACH QUARTER and add them together. Time = ...”
June 4, 2018
Brent@GMATPrepNow posted a reply to If 2/a+3/a+4/a is an integer, which of the following must in the Problem Solving forum
“That''s a perfect approach. 2/a+3/a+4/a = 9/a. So, if 2/a+3/a+4/a is an integer, then 9/a must be an integer as well. Another approach would be to use the fact that the question asks "Which of the following must also be an integer?" So, first find a value of a so that 2/a+3/a+4/a ...”
June 4, 2018
Brent@GMATPrepNow posted a new topic called 30^20 – 20^20 is divisible by all in the Problem Solving forum
“30^20 – 20^20 is divisible by all of the following values, EXCEPT: A) 10 B) 25 C) 40 D) 60 E) 64 Answer: D Difficulty level: 600 – 650 Source: www.gmatprepnow.com”
June 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to If a, b, and c are real numbers, is a/b > b/c? in the Data Sufficiency forum
“Hi Gmat_mission, We''re told that A, B and C are real numbers. We''re asked if A/B is greater than B/C. This is a YES/NO question and can be solved by TESTing VALUES. 1) A > C IF..... A=2, B=1, C=1 then 2/1 is greater than 1/1 and the answer to the question is YES A=2, B=-1, C=1 then ...”
June 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to work in the Problem Solving forum
“Hi vaibhav101, We''re told that Person A does 80% of a work in 20 days; he then calls Person B and they together finish the remaining work in 3 days. We''re asked for the number of days that it would take Person B alone to do all of the work. Since Person A does 80% of the work in 20 days, ...”
June 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to work in the Problem Solving forum
“Hi vaibhav101, To start, you are not expected to know that a cubic cm = .001 liters. If this were an Official GMAT Question, then you would be given that ''conversion'' in the prompt. We''re told that a water tank of 10,000 cm^3 capacity is to be filled from 2 taps: X and Y; the inflow of ...”
June 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to Reformatting a number in the GMAT Math forum
“Hi Nonnos123, When multiplying numbers together, it doesn''t matter which number comes first. For example: (2)(3)(4) = (3)(4)(2) In that same way, you can ''rewrite'' either of those calculations and still end up with the same result. For example: (2)(3)(4) = (3)(4)(2) (6)(4) = (3)(8) ...”
June 3, 2018
Brent@GMATPrepNow posted a new topic called On a road trip, Kip drove one-quarter the distance at an ave in the Problem Solving forum
“On a road trip, Kip drove one-quarter the distance at an average speed of v miles per hour, one-quarter the distance at an average speed of 2v miles per hour, one-quarter the distance at 4v miles per hour, and one-quarter the distance at 8v miles per hour. In terms of v, what was Kip’s average ...”
June 3, 2018
Brent@GMATPrepNow posted a reply to inequality in the Data Sufficiency forum
“Target question: Is the product cd positive? Statement 1: 3c = -8d³ Divide both sides by d to get: 3c/d = -8d² Divide both sides by 3 to get: c/d = -8d²/3 Rewrite as: c/d = (-8/3)(d²) Since d² is greater than or equal to zero for all values of d, and since -8/3 is NEGATIVE, we can ...”
June 3, 2018
Brent@GMATPrepNow posted a reply to Last year the price per share of Stock X increased by k % in the Problem Solving forum
“One approach is to plug in values. Let $100 be the original price per share of Stock X Choose a "nice" value for k. How about k = 200 So, after a 200% increase, the new price per share = $300 Let $100 be the original earnings per share of Stock X Choose a "nice" ...”
June 3, 2018
Brent@GMATPrepNow posted a new topic called What is the volume of the largest cube that can in the Problem Solving forum
“What is the volume of the largest cube that can fit inside a cylinder with radius 2 and height 3? A) 9 B) 8√2 C) 16 D) 16√2 E) 27 Answer: D Difficulty level: 650 – 700 Source: www.gmatprepnow.com”
June 2, 2018
Brent@GMATPrepNow posted a reply to Set X contains 10 consecutive integers. If the sum of the in the Problem Solving forum
“-------ASIDE------------------------------------------- Notice that we can write the first 10 consecutive integers as follows: 1, 2, 3, 4, 5, (1 + 5), (2 + 5), (3 + 5), (4 + 5), (5 + 5) So, the sum of the first 5 integers = 1 + 2 + 3 + 4 + 5 The sum of the last 5 integers = (1 + 5) + (2 + ...”
June 2, 2018
Brent@GMATPrepNow posted a reply to If 2^x = 5 and 4^y = 20, what is the in the Problem Solving forum
“Here''s a totally different approach: GIVEN: 2^x = 5 2^2 = 4 and 2^3 = 8 Since 5 is BETWEEN 4 and 8, we know that x is BETWEEN 2 and 3. From here, we can estimate. Since 5 is closer to 4 than it is to 8, we know that x will be closer to 2 than it is to 3. Let''s say that x ≈ 2.3 ...”
June 2, 2018
Brent@GMATPrepNow posted a reply to If 2^x = 5 and 4^y = 20, what is the in the Problem Solving forum
“There are several approaches we can take. Here''s the algebraic approach: Given: 2^x = 5 and 4^y = 20 Take second equation and rewrite 4 as 2² to get: (2²)^y = 20 Simplify to get: 2^(2y) = 20 We now have: 2^(2y) = 20 2^x = 5 This means we can write: 2^(2y)/2^x = 20/5 Simplify: 2^(2y ...”
June 2, 2018
Brent@GMATPrepNow posted a reply to If x^2-5x+6=2|x-1|, what is the product of all in the Problem Solving forum
“Your approach is perfect. HOWEVER, once you determine that the solutions are x = 1, x = 3 and x = 5, you must then plug those values back into the original equation (x² - 5x + 6 = 2 - |x - 1| ) to identify any EXTRANEOUS roots. Let''s do that x = 1 Plug into the original equation to get: ...”
June 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to In the sequence a_1, a_2, . . . , a_n each term in the Problem Solving forum
“Hi Gmat_mission, We''re told that In the sequence a_1, a_2, . . . , a_n each term after the first term is equal to the preceding term plus a constant C and that $$a_1+a_{11}+a_{21}=99.$$ We''re asked for the value of $$a_3+a_{19}=?$$. Since we''re dealing with a sequence that increases by a ...”
June 1, 2018
Brent@GMATPrepNow posted a reply to A car travels from point A to B. The average speed of the in the Problem Solving forum
“There''s a bit of ambiguity here. If the first half of the trip is spent at one speed, and the second half is spent at another speed, are we referring to half the total DISTANCE, or half the total TIME. For example, if it takes 10 hours to drive 200 miles, some people might refer to the first ...”
June 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to If 25 percent of p is equal to 10 percent of q in the Problem Solving forum
“Hi swerve, We''re told that 25 percent of P is equal to 10 percent of Q, and (P)(Q) is not equal to 0. We''re asked P is what percent of Q. This question can be solved in a couple of different ways, including by TESTing VALUES. IF... P = 4, then (25% of P) = 1 1 = (10% of Q), so Q = 10 ...”
June 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to A car travels from point A to B. The average speed of the in the Problem Solving forum
“Hi swerve, We''re told that a car travels from point A to point B. The average speed of the car is 60 miles/hr and it travels the first half of the distance at a speed of 90 mi/hr. We''re asked for the speed of the car in the second half of the trip. This question can be solved by TESTing ...”
June 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to After multiplying a positive integer A, which has in the Problem Solving forum
“Hi Gmat_mission, We''re told that after multiplying a positive integer A (which has N digits) by (N+2), we get a number with (N+1) digits, all of whose DIGITS are (N+1). We''re asked for the number of possible values of A that ''fit'' this description. To start, this question certainly ...”
June 1, 2018
Brent@GMATPrepNow posted a new topic called If 2^x = 5 and 4^y = 20, what is the in the Problem Solving forum
“If 2^x = 5 and 4^y = 20, what is the value of x in terms of y? A) y – 2 B) (y + 1)/2 C) 2y – 2 D) y/2 – 2 E) 2y + 2 Answer: C Difficulty level: 600 – 650 Source: www.gmatprepnow.com”
June 1, 2018
Brent@GMATPrepNow posted a reply to Is integer x odd? in the Data Sufficiency forum
“Target question: Is integer x odd? Statement 1: 2x + 1 is odd Since 2x + 1 is ODD for any integer value, this statement doesn''t tell us anything. To understand what I mean, consider these two cases that satisfy statement 1: Case a: x = 1. Here, 2x + 1 = 2(1) + 1 = 3, which is odd. In ...”
June 1, 2018
Brent@GMATPrepNow posted a reply to Today Jim is twice as old as Fred, and Sam is 2 years in the Problem Solving forum
“TODAY''S AGES Today Jim is twice as old as Fred, and Sam is 2 years younger than Fred. Let x = Fred''s age TODAY So, 2x = Jim''s age TODAY And x - 2 = Sam''s age TODAY AGES FOUR YEARS AGO Let''s first determine Jim''s age and Sam''s age FOUR YEARS AGO If 2x = Jim''s age TODAY, then 2x - 4 ...”
June 1, 2018
Max@Math Revolution posted a new topic called In the sequence {A_n}, A1=1 and An = 3An-1 + 1 for all posit in the Problem Solving forum
“1=1 and An = 3An-1 + 1 for all positive integers n. What is the units digit of A100? A. 0 B. 1 C. 2 D. 3 E. 4”
June 1, 2018
Max@Math Revolution posted a reply to If the distances between each pair of consecutive ticks are in the Problem Solving forum
“=> The distance between each pair of consecutive ticks is 2^11 – 2^10 = 2*2^10 – 2^10 = 2^10. Thus, x = 2^11 + 2^10 = 2*2^10 + 2^10 = 3(2^10). Therefore, the answer is B. Answer: B”
June 1, 2018
Max@Math Revolution posted a new topic called If x≠2y, then in the Data Sufficiency forum
“[GMAT math practice question] $$If\ x\ne2y,\ then\ \sqrt{\frac{x-3y}{x-2y}}=?$$ $$\left(1\right)\ \frac{y}{x}=\frac{y}{1}$$ $$\left(2\right)\ \frac{y}{x}=\frac{2}{1}$$”
June 1, 2018
Max@Math Revolution posted a reply to <x> is defined to be the smallest integer greater than in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
June 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to John spent 72% of his budget on fruits (including apples) in the Problem Solving forum
“Hi M7MBA, We''re told that John spent 72% of his budget on fruits (including apples), and 54% of his budget on apples. We''re asked for the percent of the money spent on fruits were NOT spent on apples. This question can be solved in a couple of different ways. TESTing VALUES works really well ...”
June 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to ratios in the Problem Solving forum
“Hi vaibhav101, We''re told that 3 containers have their volumes in the ratio 3:4:5 and the 3 mixtures contain milk and water in the ratio of (4:1), (3:1) and (5:2) respectively. We''re asked for the ratio of all milk to all water in the 3 containers. This question can be solved in a couple of ...”
June 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to ratios in the Problem Solving forum
“Hi vaibhav101, This question can be solved by TESTing VALUES. We''re told that the night crew consists of 4/5 as many workers as the day crew: Night crew = 4 workers Day crew = 5 workers We''re also told that each member of the night crew loaded 3/4 as many crates as each member of the day ...”
June 1, 2018
Brent@GMATPrepNow posted a reply to A data set consists of three integers. What is the standard in the Data Sufficiency forum
“Target question: What is the standard deviation of the 3-integer data set? Statement 1: The average (arithmetic mean) and the median are both 3 Let''s TEST some values. There are several sets that satisfy statement 1. Here are two: Case a: {3, 3, 3}. Notice that the median and mean both ...”
June 1, 2018
Brent@GMATPrepNow posted a reply to ratios in the Problem Solving forum
“I think the fast way is to plug in some nice numbers. Since the two pieces of information regarding the night shift are related to the information regarding the day shift, let''s assign some nice values to the DAY shift. Number of workers Day shift: 5 workers (this is an easy number to find ...”
May 31, 2018
Brent@GMATPrepNow posted a new topic called J = x rounded to the nearest TENTH, and K = x rounded to the in the Problem Solving forum
“J = x rounded to the nearest TENTH, and K = x rounded to the nearest THOUSANDTH. If 0 < x < 1, what is the greatest possible value of J – K? A) 0.005 B) 0.0055 C) 0.05 D) 0.0505 E) 0.0555 Answer: C Difficulty level: 650 – 700 Source: www.gmatprepnow.com”
May 31, 2018
Brent@GMATPrepNow posted a reply to If each of the 4 circles above has radius 1, what in the Problem Solving forum
“Here''s a different approach: Let''s place a square around just one of the circles https://i.imgur.com/xuhL6Te.png Notice that the shaded area IN the square represents 1/4 of the TOTAL shaded area in the diagram. https://i.imgur.com/NrpovG1.png This means that the shaded area in ...”
May 31, 2018
Brent@GMATPrepNow posted a reply to \[ \frac{49^2-35^2}{14}= \] in the Problem Solving forum
“Vincen has demonstrated the approach I would have used. But, for "fun," here''s another approach. First, you need to know a nice trick for squaring numbers that end in 5 (the trick takes 2 minutes to learn, and then you can perform calculations like 65² and 35² in 5 seconds. Here''s ...”
May 31, 2018
Brent@GMATPrepNow posted a reply to Is 0.4 < x < 0.8? in the Data Sufficiency forum
“Target question: Is 0.4 < x < 0.8? Statement 1: 407x < 376 Divide both sides of the inequality by 407 to get: x < 376/407 Convert to a decimal to get: x < 0.92 There are several values of x that satisfy statement 1. Here are two: Case a: x = 0.6. In this case, the answer ...”
May 31, 2018
Brent@GMATPrepNow posted a reply to Is x+y > 0? in the Data Sufficiency forum
“Target question: Is x+y > 0? Statement 1: x > y Let''s TEST some values. There are several values of x and y that satisfy statement 1. Here are two: Case a: x = 2 and y = 1 (this satisfies the condition that x > y). In this case, x + y = 2 + 1 = 3. So, the answer to the target ...”
May 31, 2018
Max@Math Revolution posted a new topic called In the sequence {An}, A1=1 and An=An-1+ …. +A1. What is the in the Problem Solving forum
“n}, A1=1 and An=An-1+ …. +A1. What is the ratio of A12 to A10? A. 1 to 1 B. 2 to 1 C. 4 to 1 D. 8 to 1 E. 16 to 1”
May 31, 2018
Max@Math Revolution posted a reply to The operation # is defined to be multiplication. Which of th in the Problem Solving forum
“=> If # is the multiplication operation, then we must have x#1 = x, x#0 = 0 and x#y = y#x. Therefore, E is the answer. Answer: E”
May 31, 2018
Max@Math Revolution posted a new topic called If f(x) = x^2 - x + 1, is f(p)>f(q)? in the Data Sufficiency forum
“[GMAT math practice question] 5.31 If f(x) = x^2 - x + 1, is f(p)>f(q)? 1) p<q 2) p^2>q^2”
May 31, 2018
Max@Math Revolution posted a reply to p, q, x, and y are positive integers. If p^mq^n=72, what is in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
May 31, 2018
Rich.C@EMPOWERgmat.com posted a reply to For what value of x are the mode, the median and the average in the Problem Solving forum
“Hi AAPL, You''ve correctly deduced that the Mode would have to be 60. You might be able to save on some ''calculation time'' if you use the patterns in the numbers to your advantage (meaning that you don''t technically have to calculate the entire average by hand to find the value of X). The ...”
May 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to The price of onions increases by 25%, by what percent should in the Problem Solving forum
“Hi All, We''re told that the price of onions increases by 25%. We''re asked by what percent the consumption should decrease so that the overall money spent onions is the same. This question can be solved in a couple of different ways, including by TESTing VALUES. We will need the Percent Change ...”
May 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to In the biology lab of "Jefferson" high School ther in the Problem Solving forum
“Hi swerve, We''re told that in the biology lab there are 5.4*10^6 germs, equally divided among 10,800 Petri dishes. We''re asked for the number germs living in a single dish. The math behind this question can be done in a couple of different ways. Considering that the answer choices are ''spread ...”
May 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to Must Have Resources for GMAT preparation? in the GMAT Strategy forum
“Hi Smita, 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 ...”
May 30, 2018
Brent@GMATPrepNow posted a reply to If [x] is the greatest integer less than or equal to x, what in the Problem Solving forum
“, not 3 Cheers, Brent”
May 30, 2018
Brent@GMATPrepNow posted a reply to If the distances between each pair of consecutive ticks are in the Problem Solving forum
“If the distances between each pair of consecutive ticks are equal, we can write: 2^11 - 2^10 = x - 2^11 We must solve this equation for x.... Add 2^11 to both sides: 2^11 + 2^11 - 2^10 = x Combine the two 2^11''s to get: 2(2^11) - 2^10 = x Rewrite 2 as 2^1 to get: (2^1)(2^11) - 2^10 = x ...”
May 30, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: On the x-y coordinate plane, lines j and in the Data Sufficiency forum
“Challenge question On the x-y coordinate plane, lines j and k intersect at one point. If the equation of line j is bx + ay = 5, and the equation of line k is 2bx - 3ay = -5, what is the value of a + b? (1) Lines j and k intersect at (1, -3). (2) a - b = -3 Answer A Difficulty ...”
May 30, 2018
Brent@GMATPrepNow posted a reply to For what value of x are the mode, the median and the average in the Problem Solving forum
“I sincerely doubt that there''s a better (i.e., faster) approach than the one you describe. One option would be to test the answer choices, but your approach is likely faster. The key concept (which you have identified) is that the mode MUST be 60, since we already have two 60''s. Cheers, ...”
May 30, 2018
Brent@GMATPrepNow posted a reply to If x and y are positive integers less than 10, which in the Problem Solving forum
“When I scan the statements, I see that ii and iii look easier, so I''ll start with those. ii) y√x = x√y We can quickly see that, if x = y, then this statement is TRUE. For example, if x = 1 and y = 1, we get 1√1 = 1√1, which is true. So, statement ii COULD be true. Check the ...”
May 30, 2018
Max@Math Revolution posted a new topic called If the distances between each pair of consecutive ticks are in the Problem Solving forum
“https://s33.postimg.cc/cmtjrockb/5.30.png If the distances between each pair of consecutive ticks are equal, what is the value of x? A. 2^{12} B. 3(2^{10}) C. 5(2^{10}) D. (2^{13}) E. 3(2^{12})”
May 30, 2018
Max@Math Revolution posted a reply to John invested a total of $100,000 in two accounts. The fir in the Problem Solving forum
“=> Let x be the principal invested at the 6% interest rate. Then we must have x*0.06 + ( 100,000 – x )*0.04 ≥ 5,000. Now, x*0.06 + ( 100,000 – x )*0.04 ≥ 5,000 => x*0.06 + ( 4,000 – x *0.04 ) ≥ 5,000 => x*0.02 + 4,000 ≥ 5,000 => x*0.02 ≥ 1,000 => x ≥ ...”
May 30, 2018
Max@Math Revolution posted a new topic called <x> is defined to be the smallest integer greater than or eq in the Data Sufficiency forum
“[GMAT math practice question] <x> is defined to be the smallest integer greater than or equal to x. What is the value of <x>? 1) x>0 2) x<1”
May 30, 2018
Max@Math Revolution posted a reply to What is the median of 3 consecutive integers? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Let the 3 ...”
May 30, 2018
Brent@GMATPrepNow posted a reply to Is the positive integer P a multiple of 11 [A] P = M+N in the Data Sufficiency forum
“Target question: Is P a multiple of 11 Statement 1: P = M+N where M and N are integers Definitely NOT SUFFICIENT Statement 2: M is divisible by 11 and N is not divisible by 11 Since there''s no information about P, there''s no way to answer the target question Statement 2 is NOT ...”
May 30, 2018
Brent@GMATPrepNow posted a reply to Which of the following fractions has the greatest value? (A in the Problem Solving forum
“We might also make things easier by getting rid of the fractions by multiplying all of the values by the lowest common denominator, which is (3^4)(5^5) let'' s do this... (A) 1/(3^2)(5^2) x (3^4)(5^5) = (3^2)(5^3) = (9)(125) (B) 2/(3^2)(5^2) x (3^4)(5^5) = (2)(3^2)(5^3) = (2)(9)(125) (C) ...”
May 30, 2018
Brent@GMATPrepNow posted a reply to Mode in the Problem Solving forum
“This comes down to the distinction between "the mode" and "a mode" The mode of a set of 4 positive integers is 7. This suggests that there is only 1 mode. ASIDE: In the set {1, 2, 4, 4}, there''s one mode: 4 In the set {3, 3, 4, 4}, there are two modes: 3 and 4 In the ...”
May 29, 2018
Brent@GMATPrepNow posted a new topic called If each of the 4 circles above has radius 1, what in the Problem Solving forum
“https://i.imgur.com/bzRq3H2.png If each of the 4 circles above has radius 1, what is the area of the shaded region? A) 1 – π/4 B) 2 – π/4 C) 2 – π/2 D) 4 – π E) 4 – 2π Answer: D Difficulty level: 700+ Source: www.gmatprepnow.com”
May 29, 2018
Max@Math Revolution posted a new topic called The operation # is defined to be multiplication. Which of th in the Problem Solving forum
“[GMAT math practice question] The operation # is defined to be multiplication. Which of the following must be true? Ⅰ. x#1=x Ⅱ. x#0=0 Ⅲ. x#y=y#x A. Ⅰ only B. Ⅲ only C. Ⅱ only D. Ⅰ and Ⅱ only E. Ⅰ,Ⅱ and Ⅲ”
May 29, 2018
Max@Math Revolution posted a new topic called p, q, x, and y are positive integers. If p^mq^n=72, what is in the Data Sufficiency forum
“[GMAT math practice question] p, q, x, and y are positive integers. If p^mq^n=72, what is the value of p+q? 1) m>n 2) mn=6”
May 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to Are x and y both positive? in the Data Sufficiency forum
“Hi VJesus12, DS questions can often be solved with a variety of tactics. Beyond the "math" approaches that can be used, you can also TEST Values (as Brent''s solution showcased) and often use Number Properties to your advantage. Here, we''re asked if X and Y are BOTH positive? This ...”
May 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to A soda machine sells both bottles and cans, and no other in the Problem Solving forum
“Hi VJesus12, We''re told that a soda machine sells both bottles and cans, and no other items. Bottles cost $1.50 each, while cans cost $0.75 each and in one day, the soda machine sold 250 total beverages and yielded $315. We''re asked how many MORE bottles than cans were sold. This question can ...”
May 28, 2018
Brent@GMATPrepNow posted a reply to If x is a positive integer, which of the following COULD in the Problem Solving forum
“There''s a triangle property that says: (length of LONGEST side) < (SUM of the other two lengths) So, for example, 2, 3, 6 CANNOT be the lengths of sides in a triangle, because 6 > 2 + 3 i) x, 2x + 2, x + 2 Since x is a positive integer, we can see that 2x+2 will be the LONGEST side. ...”
May 28, 2018
Brent@GMATPrepNow posted a reply to If 52x + 604 = 1400 and 151 + 13y in the Problem Solving forum
“The key here is to avoid solving the two equations for x and y. We can do this by recognizing that each term in the equation 52x + 604 = 1400 is 4 times each term in the equation 151 + 13y = 350 For example, (4)(151) = 604 And (4)(13) = 52 And (4)(350) = 1400 So, if we take 151 + 13y = ...”
May 28, 2018
Brent@GMATPrepNow posted a new topic called If x and y are positive integers less than 10, which in the Problem Solving forum
“If x and y are positive integers less than 10, which of the following COULD be true? i) √x + √y = √(x + y) ii) y√x = x√y iii) √x - √y = √(x - y) A) i only B) i and ii only C) i and iii only D) ii and iii only E) i,ii and iii Answer: D Difficulty level: 600 – 650 ...”
May 28, 2018
Brent@GMATPrepNow posted a reply to If [x] is the greatest integer less than or equal to x in the Problem Solving forum
“Here are some related questions to practice with: https://www.beatthegmat.com/is-the-greatest-integer-less-than-or-equal-to-the-t299030.html https://www.beatthegmat.com/denotes-the-least-integer-greater-than-or-equal-to-x-t276815.html ...”
May 28, 2018
Brent@GMATPrepNow posted a reply to A soda machine sells both bottles and cans, and no other in the Problem Solving forum
“Let B = # of bottles sold Let C = # of cans sold If on one day, the soda machine sold 250 total beverages... We can write: B + C = 250 ...and yielded $315. So: 1.5B + 0.75C = 315 We can eliminate the decimals by multiplying both sides by 4 to get: 6B + 3C = 1260 How many more bottles ...”
May 28, 2018
Brent@GMATPrepNow posted a reply to Are x and y both positive? in the Data Sufficiency forum
“Target question: Are x and y both positive? Statement 1: 2x - 2y = 1 There are several pairs of numbers that satisfy this condition. Here are two: Case a: x = 1 and y = 0.5, in which case x and y are both positive Case b: x = -0.5 and y = -1, in which case x and y are not both positive ...”
May 28, 2018
Max@Math Revolution posted a new topic called John invested a total of $100,000 in two accounts. The fir in the Problem Solving forum
“[GMAT math practice question] John invested a total of $100,000 in two accounts. The first account had an annual interest rate of 4%, and the second account had an annual interest rate of 6%. If his investment earnings at the end of the first year were at least $5,000, what was the smallest ...”
May 28, 2018
Max@Math Revolution posted a new topic called What is the median of 3 consecutive integers? in the Data Sufficiency forum
“[GMAT math practice question] What is the median of 3 consecutive integers? 1) The product of the integers is 0 2) The sum of the integers is equal to their product”
May 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to Java House charges $3.25 for a cup of coffee that costs a in the Problem Solving forum
“Hi All, We''re told that Java House charges $3.25 for a cup of coffee that costs a total of $2.85 to make, Cup''O''Joe charges $2.80 for a cup that costs $2.65 to make and Java House sells 55,000 cups of coffee. We''re asked for the number of cups that Cup''O''Joe must sell to make at least as ...”
May 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to Three men and 2 women will present 5 consecutive speeches in the Problem Solving forum
“Hi All, We''re told that 3 men and 2 women will present 5 consecutive speeches (1 by each person) at a conference and that the order of the speakers is determined randomly. We''re asked for the probability that at least 2 of the men''s speeches will be consecutive. This question can be solved in ...”
May 28, 2018
Rich.C@EMPOWERgmat.com posted a reply to A pipe fills a pool in 3.5 hours. If the flow of water is in the Problem Solving forum
“Hi AAPL, We''re told that a pipe fills a pool in 3.5 hours and that the flow of water is changed so that the pipe''s rate is HALVED. We''re asked how long it would then take for the pipe to fill 2/3 of the pool. While this question might look a little ''scary'', the math involved is relatively ...”
May 28, 2018
Max@Math Revolution posted a reply to The alarm of a certain clock rings every 15 minutes. If the in the Problem Solving forum
“=> It takes 1 hour = 4 x 15 minutes for every fourth alarm to ring. The time period starts at fifteen minutes before 12:15, or 12:00. So: The 4th alarm rings at 13:00. The 8th alarm rings at 14:00. The 12th alarm rings at 15:00. The 16th alarm rings at 16:00. The 20th alarm rings at ...”
May 28, 2018
Max@Math Revolution posted a reply to What is the remainder when 7^100 is divided by 50? in the Problem Solving forum
“=> The remainder when 7^{100} is divided by 50 depends only on the units and tens digits. The units digits of 7^n cycle through the four values 7, 9, 3, and 1. The tens digits of 7^n cycle through the four values 0, 4, 4, and 0. We have the following sequence of units and tens digits ...”
May 28, 2018
Max@Math Revolution posted a reply to If x and y are positive integers, what is the remainder when in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
May 28, 2018
Max@Math Revolution posted a reply to If x and y are different positive integers, what is the valu in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
May 28, 2018
Brent@GMATPrepNow posted a new topic called If 52x + 604 = 1400 and 151 + 13y in the Problem Solving forum
“If 52x + 604 = 1400 and 151 + 13y = 350, what is the value of x – y? A) -11/13 B) -11/52 C) 0 D) 11/52 E) 11/13 Answer: C Difficulty level: 550 – 600 Source: www.gmatprepnow.com”
May 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to NUMBERS in the Data Sufficiency forum
“Hi vaibhav101, We''re told that M and N are integers. We''re asked if M is ODD. This is a YES/NO question and can be solved by TESTing VALUES and Number Properties. 1) (M+N) is ODD. IF.... M=1, N=0 then the answer to the question is YES. M=0, N=1 then the answer to the question is NO. ...”
May 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to NUMBERS in the Data Sufficiency forum
“Hi vaibhav101, We''re told that R - S = 3P. We''re asked if P is an integer. This is a YES/NO question and can be solved by TESTing VALUES (and knowledge of a rarer Number Property rule also helps). 1) R is divisible by 735 IF.... R=735 and S = 0, then 735 = 3P and P = 245. The answer ...”
May 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to NUMBERS in the Data Sufficiency forum
“Hi vaibhav101, We''re told that M and N are nonzero integers. We''re asked if M/N is an integer. This is a YES/NO question and we can answer it with a mix of TESTing VALUES and logic. 1) 2M is divisible by N IF.... M=1 and N=1, then the answer to the question is YES. M=1 and N=2, then ...”
May 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to The pilot of a small aircraft with a 40-gallon fuel tank in the Problem Solving forum
“Hi All, We''re told that the pilot of a small aircraft with a 40-gallon fuel tank wants to fly to Cleveland, which is 480 miles away - but the plane can only fly 8 miles per gallon, which will not get him there. We''re asked by how many miles per GALLON must the aircraft’s fuel efficiency be ...”
May 26, 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 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 can be solved in a ...”
May 26, 2018