Rich.C@EMPOWERgmat.com posted a reply to Is the sum of two integers divisible by 10 ? in the Data Sufficiency forum
“Hi All, We''re asked if the sum of two integers is divisible by 10. This is a YES/NO question can be solved by TESTing VALUES. (1) One of the integers is even. Fact 1 tells us about just one of the numbers; we know nothing about the other number. For organizational purposes, I''ll refer to ...”
2 minutes ago
Rich.C@EMPOWERgmat.com posted a reply to If p, r, and s are consecutive integers in ascending in the Data Sufficiency forum
“Hi All, We''re told that P, R and S are CONSECUTIVE integers in ASCENDING order and X is the AVERAGE (arithmetic mean) of the three integers. We''re asked for the value of X. To start, it''s worth noting that since we''re dealing with 3 CONSECUTIVE integers, the sum will always be ''3 ...”
9 minutes ago
Rich.C@EMPOWERgmat.com posted a reply to Three children inherited a total of X dollars. If the oldest in the Data Sufficiency forum
“Hi All, We''re told that three children inherited a TOTAL of X dollars, the oldest child inherited $7,000 MORE than the youngest child and the youngest child inherited$9,000 LESS than the middle child. We''re asked for the value of X. This question is built around some basic Arithmetic and ...”
28 minutes ago
Max@Math Revolution posted a new topic called If f(x)=x^4+4x^2+7, f(x)=g(x)^2+3 and g(x) > 0, then g(x)=? in the Problem Solving forum
“[GMAT math practice question] If f(x)=x^4+4x^2+7, f(x)=g(x)^2+3 and g(x) > 0, then g(x)=? A. x^2+1 B. x^2+2 C. x^2+3 D. x^2-1 E. x^2-2”
Today
Max@Math Revolution posted a new topic called Is x > 0? in the Data Sufficiency forum
“[GMAT math practice question] Is x > 0? 1) |x| + |y| > |x + y| 2) |y| > y”
Today
Max@Math Revolution posted a reply to (n+1)!f(n) = (n-1)!. What is the value of f(1) + f(2) + … in the Problem Solving forum
“=> (n+1)!f(n) = (n-1)! => (n-1)!*n*(n+1)f(n) = (n-1)! => n*(n+1)f(n) = 1 => f(n) = 1/{n(n+1)} => f(n) = 1/n – 1/(n+1) Thus f(1) + f(2) + … + f(100) = (1/1 – 1/2) + (1/2 – 1/3) + (1/3-1/4) + … + (1/99 – 1/100) + (1/100 – 1/101) = 1/1 – 1/101 = 100/101 ...”
Today
Max@Math Revolution posted a reply to Each of A, B and C represents a one-digit integer. AB and BA in the Problem Solving forum
“=> Equating the units digits of BA + AB + AB and CAA gives either A + B + B = A or A + B + B = 10 + A. So, B = 5 or B = 0. Since BA is a two-digit integer, we must have B = 5. After carrying from the addition of the units digits, adding the tens digits yields B + A + A + 1 = 5 + A + A + 1 = ...”
Today
Max@Math Revolution posted a reply to n is a positive odd integer. What is the value 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. The first ...”
Today
Max@Math Revolution posted a reply to What is the value of 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 ...”
Today
Marty Murray posted a reply to The fewer restrictions there are on the advertising of legal in the Critical Reasoning forum
“Often, the correct answer to an Inference question is based on a small portion of what the passage says, as is the correct answer to this question. In answering such a question, we have to notice that, even though the correct answer is directly related to only a small portion of what the passage ...”
May 18, 2019
Brent@GMATPrepNow posted a reply to In the figure above, if A, B, and C are the areas, respectiv in the Data Sufficiency forum
“Key concept: We''re told that the area of the BLUE circle = the area of the RED circle https://i.imgur.com/AZaIFeU.png This means we can say: A + B = B + C Now onto the question..... Target question: What is the value of B + C ? Statement 1: A + 2B + C = 24 Rewrite this as: (A + B) ...”
May 17, 2019
Max@Math Revolution posted a new topic called (n+1)!f(n) = (n-1)!. What is the value of f(1) + f(2) + … + in the Problem Solving forum
“[GMAT math practice question] (n+1)!f(n) = (n-1)!. What is the value of f(1) + f(2) + … + f(100)? A. 1/99 B. 1/100 C. 1/101 D. 99/100 E. 100/101”
May 17, 2019
Max@Math Revolution posted a reply to Sn=(Sn-1)Sn-2 , S1=-1 and S2=2. What is the value of S5? in the Problem Solving forum
“=> S3=(S2)^{S1}=(2)^{-1}=1/2 S4=(S3)^{S2}=(1/2)^2=1/4 S5=(S4)^{S3}=(1/4)^{1/2}=1/2 Therefore, the answer is B. Answer: B”
May 17, 2019
Max@Math Revolution posted a new topic called n is a positive odd integer. What is the value of n? in the Data Sufficiency forum
“[GMAT math practice question] n is a positive odd integer. What is the value of n? 1) n, n + 2, n + 4 are prime numbers. 2) n - 1 is an even prime number.”
May 17, 2019
Max@Math Revolution posted a reply to What is the value 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 ...”
May 17, 2019
Rich.C@EMPOWERgmat.com posted a reply to What is the remainder when the positive integer n is divided in the Data Sufficiency forum
“Hi All, We''re told that N is a positive integers. We''re asked for the remainder when N is divided by 5. This question can be solved with a mix of Arithmetic and TESTing VALUES. (1) When N is divided by 3, the quotient is 4 and the remainder is 1. Fact 1 gives us remarkably specific ...”
May 16, 2019
Rich.C@EMPOWERgmat.com posted a reply to Is the point Q on the circle with center C ? in the Data Sufficiency forum
“Hi All, We''re asked if the point Q is on the circle with center C. This is a YES/NO question and can be approached with some logic (and a few examples/drawings might help). (1) R is a point on the circle and the distance from Q to R is equal to the distance from Q to C. Since C is the ...”
May 16, 2019
Rich.C@EMPOWERgmat.com posted a reply to Is the average (arithmetic mean) of the numbers x, y, and z in the Data Sufficiency forum
“Hi All, We''re asked if the average (arithmetic mean) of the numbers X, Y, and Z is GREATER than Z. This is a YES/NO question and can be approached with a mix of Arithmetic and TESTing VALUES. To start, we can ''rewrite'' the question a bit: Is (X+Y+Z)/3 > Z? Is (X+Y+Z) > 3Z? Is (X+Y) ...”
May 16, 2019
Rich.C@EMPOWERgmat.com posted a reply to What number is 6 more than x + y ? in the Data Sufficiency forum
“Hi All, We''re asked what number is 6 MORE than (X+Y). This question can be approached in a couple of different ways, including by TESTing VALUES. It''s worth noting that the prompt does NOT place any restrictions on X and Y, so they could be positive, negative, 0, fractions, etc. (1) Y is 3 ...”
May 16, 2019
Rich.C@EMPOWERgmat.com posted a reply to If x is an integer greater than 0, what is the remainder in the Data Sufficiency forum
“Hi All, We''re told that X is an INTEGER GREATER than 0. We''re asked for the remainder when X is divided by 4. This question is based around some basic Arithmetic rules (and you can TEST VALUES to define the patterns involved). To start, here are the first several positive integers - and what ...”
May 16, 2019
ceilidh.erickson posted a reply to A 3-digit positive integer consists of non zero digits. If in the Problem Solving forum
“There are 3 configurations that would yield a 3-digit integer with 2 of the same digit, one different digit: same]same]different] same]different]same] different]same]same] So, let''s calculate the number of combinations for one of these: same]same]different] There would be 9 non-zero digits ...”
May 16, 2019
ceilidh.erickson posted a reply to The recording industry is fighting a losing battle: it in the Critical Reasoning forum
“For more on this YES / NO test for EVALUATE questions, see: https://www.beatthegmat.com/goronian-lawmaker-goronia-s-cheese-importation-board-the-a-t305457.html#823815 https://www.beatthegmat.com/over-the-last-five-years-demand-for-hotel-rooms-in-cenopoli-t305855.html#825344 ...”
May 16, 2019
ceilidh.erickson posted a reply to The recording industry is fighting a losing battle: it in the Critical Reasoning forum
“When we''re asked to EVALUATE an argument, it''s implied that there is currently missing information - UNSTATED ASSUMPTIONS - that would be needed for the argument to logically cohere. Premises: - recording industry does not have the resources to prosecute all of the individuals who illegally ...”
May 16, 2019
ceilidh.erickson posted a reply to In the nation of Partoria, large trucks currently account in the Critical Reasoning forum
“There are several logical flaws in this argument: Premises: Trucks with three trailers had less than a third of the accident rate of single- and double-trailer trucks Conclusion: one way for Partoria to reduce highway deaths would be to require shippers to increase their use of triple-trailer ...”
May 16, 2019
ceilidh.erickson posted a reply to How many perfect squares are less than the integer $$d$$? in the Data Sufficiency forum
“The best way to approach this problem is to test cases: How many perfect squares are less than the integer d? 1) 23 < d < 33 if d = 32, there are 5 perfect squares less than d: 1, 4, 9, 16, 25 if d = 24, there are 4 perfect squares less than d: 1, 4, 9, 16 Insufficient 2) 27 < ...”
May 16, 2019
ceilidh.erickson posted a reply to In a set of five consecutive integers, which of the in the Problem Solving forum
“OP: there is an error in this question. Are you sure it''s transcribed correctly? As written there is no correct answer. In any consecutive (or evenly spaced) set, the median is always equal to the average. If we want to change the average *without* changing the median, we must make it a ...”
May 16, 2019
ceilidh.erickson posted a reply to Fedora Convertibles began selling the Freewheeler - its in the Critical Reasoning forum
“When we''re asked to EVALUATE an argument, it''s implied that there is currently missing information - UNSTATED ASSUMPTIONS - that would be needed for the argument to logically cohere. Premise: Freewheeler’s sales for May, June, July, and August totaled over 50,000. Conclusion: As a ...”
May 16, 2019
ceilidh.erickson posted a reply to The pioneering research of Lewis Latimer and Thomas Edison, in the Sentence Correction forum
“This question is testing MODIFIERS. If we have an "and" linking two nouns (e.g. "Latimer and Edison") followed by a noun modifier (e.g. "who"), it''s implied that both nouns are being modified. So in "... Lewis Latimer and Thomas Edison, who became ...”
May 16, 2019
Brent@GMATPrepNow posted a reply to Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum
“Data Sufficiency lesson #7: - The Table Method Video : https://www.youtube.com/watch?v=lYfTiRIG_k4 Cheers, Brent”
May 16, 2019
Max@Math Revolution posted a new topic called Each of A, B and C represents a one-digit integer. AB and BA in the Problem Solving forum
“[GMAT math practice question] Each of A, B and C represents a one-digit integer. AB and BA are two-digit integers, and CAA is a three-digit integer. If BA + AB + AB = CAA, what is the value of A? A. 1 B. 2 C. 3 D. 4 E. 5”
May 16, 2019
Max@Math Revolution posted a reply to n is an integer. What is the units digit of n^5-5n^3+4n? in the Problem Solving forum
“=> n^5-5n^3+4n = n(n^4-5n^2+4) = n(n^2-1)(n^2-4) = n(n+1)(n-1)(n-2)(n-2) = (n-2)(n-1)n(n+1)(n+2). Thus, n^5-5n^3+4n is a product of five consecutive integers. Since it is divisible by 2, 3, 4, and 5, it is a multiple of 10. Thus, its units digits is 0. Therefore, the answer is A. ...”
May 16, 2019
Max@Math Revolution posted a new topic called What is the value of x? in the Data Sufficiency forum
“[GMAT math practice question] What is the value of x? 1) |x+y| = |x-y| 2) |y| > y”
May 16, 2019
Max@Math Revolution posted a reply to If k/mn, where k, m and n are positive integers, is a fracti 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 16, 2019
Rich.C@EMPOWERgmat.com posted a reply to A certain painting job requires a mixture of yellow, green, in the Data Sufficiency forum
“Hi All, We''re told that a certain painting job requires a mixture of yellow, green, and white paint and that 12 quarts of paint are needed for the job. We''re asked for the number of quarts of GREEN paint that are needed. This question can be answered with ratio-based math and TESTing VALUES. ...”
May 16, 2019
Rich.C@EMPOWERgmat.com posted a reply to A noncompressible ball in the shape of a sphere is to in the Data Sufficiency forum
“Hi All, We''re told that a non-compressible ball in the shape of a SPHERE is to be passed through a SQUARE opening in a board. We''re asked for the perimeter of the opening. While this question might seem a bit quirky, it''s actually based on some basic Geometry rules. To start, it''s worth ...”
May 16, 2019
Rich.C@EMPOWERgmat.com posted a reply to After the first two terms in a sequence of numbers, each in the Data Sufficiency forum
“Hi All, We''re told that after the first two terms in a sequence of numbers, each term in the sequence is formed by adding ALL of the preceding terms. We''re asked if 12 is the fifth term in the sequence? This is a YES/NO question and can be approached with some basic Arithmetic and ...”
May 16, 2019
Rich.C@EMPOWERgmat.com posted a reply to A company produces a certain toy in only 2 sizes, small or in the Data Sufficiency forum
“Hi All, We''re told that a company produces a certain toy in only 2 sizes, small or large, and in only 2 colors, red or green - and that for each size, there are EQUAL numbers of red and green toys in a certain production lot. We''re asked for the fraction of the total number of GREEN toys that ...”
May 16, 2019
Rich.C@EMPOWERgmat.com posted a reply to If a merchant purchased a sofa from a manufacturer for $400 in the Data Sufficiency forum “Hi All, We''re told that a merchant purchased a sofa from a manufacturer for$400 and then sold it. We''re asked for the selling price of the sofa. This question is based around a mix of basic Arithmetic and Algebra. (1) The selling price of the sofa was greater than 140 percent of the ...”
May 16, 2019
Brent@GMATPrepNow posted a reply to If Mary always takes the same route to work, how long did it in the Data Sufficiency forum
“Target question: How long did it take Mary to get to work on Friday? Statement 1: It took Mary 20 minutes to get to work on Thursday. Clearly, we cannot use this information to answer the target question with certainty. Statement 1 is NOT SUFFICIENT Statement 2: Mary''s average speed ...”
May 15, 2019
Max@Math Revolution posted a new topic called Sn=(Sn-1)Sn-2 , S1=-1 and S2=2. What is the value of S5? in the Problem Solving forum
“n-1)^{Sn-2} , S1=-1 and S2=2. What is the value of S5? A. 1/4 B. 1/2 C. 1 D. 2 E. 4”
May 15, 2019
Max@Math Revolution posted a reply to If 0 ＜ x+1 ＜ 1, which of the following lists is written in the Problem Solving forum
“=> Plug in x = -1/2. Then x^{-2} = 4, x^{-1}= -2 and x^2 = 1/4 Thus, x^{-1}< x < x^2 < 1 < x^{-2}. Therefore, C is the answer. Answer: C ”
May 15, 2019
Max@Math Revolution posted a new topic called What is the value of n? in the Data Sufficiency forum
“[GMAT math practice question] What is the value of n? 1) n is the product of 2 different prime numbers less than 15 2) n and 210 are relatively prime”
May 15, 2019
Max@Math Revolution posted a reply to If n is a positive integer, is n^2+2n+44 divisible by 4? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
May 15, 2019
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. ...”
May 15, 2019
Rich.C@EMPOWERgmat.com posted a reply to A rectangular solid has length, width, and height of L cm in the Data Sufficiency forum
“Hi All, We''re told that a rectangular solid has length, width, and height of L cm, W cm, and H cm, respectively. We''re asked if these dimensions are increased by X%, Y%, and Z%, respectively, what would be the PERCENTAGE INCREASE in the total SURFACE AREA of the solid. This question is based ...”
May 14, 2019
Rich.C@EMPOWERgmat.com posted a reply to The length, width, and height of a rectangular box in the Data Sufficiency forum
“Hi All, We''re told that the length, width, and height of a rectangular box, in centimeters, are L, W, and H, respectively, the VOLUME of this box is V cubic centimeters and the TOTAL SURFACE AREA of the 6 sides of this box is A square centimeters. We''re asked for the value of V/A. This ...”
May 14, 2019
Rich.C@EMPOWERgmat.com posted a reply to A paint mixture was formed by mixing exactly 3 colors of in the Data Sufficiency forum
“Hi All, We''re told that a paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was X% blue paint, Y% green paint, and Z% red paint and exactly 1 gallon of BLUE paint and 3 gallons of RED paint were used. We''re asked for the number of gallons of green paint that ...”
May 14, 2019
Rich.C@EMPOWERgmat.com posted a reply to If 2.00X and 3.00Y are 2 numbers in decimal form with thousa in the Data Sufficiency forum
“Hi All, We''re told that 2.00X and 3.00Y are 2 numbers in DECIMAL form with THOUSANDTHS digits of X and Y, respectively. We''re asked if 3(2.00X) > 2(3.00Y). This is a YES/NO question and can be solved with a mix of Arithmetic and TESTing VALUES. There''s a great built-in ''shortcut'' that we ...”
May 14, 2019
Rich.C@EMPOWERgmat.com posted a reply to Three roommates—Bela, Gyorgy, and Janos—together saved m in the Data Sufficiency forum
“Hi All, We''re told that three roommates - Bela, Gyorgy, and Janos - together saved money for a trip. The amount that Bela saved was equal to 8% of his monthly income and the amount that Gyorgy saved was exactly 1/3 of the TOTAL amount saved by all 3 roommates. We''re asked for the total amount ...”
May 14, 2019
Brent@GMATPrepNow posted a reply to x-4=z y-x=8 8-z=t For the system of equations given, what in the Data Sufficiency forum
“Target question: What is the value of z? Statement 1: x = 7 Scanning the three given equations, we see that equation i is all we need to determine the value of z i) x - 4 = z Replace x with 7 to get: 7 - 4 = z So, z = 3 Since we can answer the target question with certainty, statement 1 ...”
May 14, 2019
Max@Math Revolution posted a new topic called n is an integer. What is the units digit of n^5-5n^3+4n? in the Problem Solving forum
“[GMAT math practice question] n is an integer. What is the units digit of n^5-5n^3+4n? A. 0 B. 2 C. 4 D. 6 E. 8”
May 14, 2019
Max@Math Revolution posted a new topic called If k/mn, where k, m and n are positive integers, is a fracti in the Data Sufficiency forum
“[GMAT math practice question] If k/mn, where k, m and n are positive integers, is a fraction in its lowest terms, is k/mn a terminating decimal? 1) 1/m is a terminating decimal 2) 1/n is a terminating decimal”
May 14, 2019
Rich.C@EMPOWERgmat.com posted a reply to 7, 9, 6, 4, 5, x If x is a number in the list above in the Data Sufficiency forum
“Hi All, We''re told that X is a number in the list (7, 9, 6, 5, 4, X). We''re asked for the MEDIAN of the list. This question can be solved with Stats rules and TESTing VALUES. To start though, since there are six values in the list, the MEDIAN will be the AVERAGE of the two ''middle terms'' ...”
May 13, 2019
Rich.C@EMPOWERgmat.com posted a reply to In the figure above, triangle PQR has angle measures as in the Data Sufficiency forum
“Hi All, We''re told that the triangle PQR has angle measures as shown. We''re asked if X is less than Y. This is a YES/NO question and is based around a specific Triangle rule (re: in simple terms, the bigger the angle, the bigger the side that''s across from it). Since Angle R is 58 degrees, ...”
May 13, 2019
Rich.C@EMPOWERgmat.com posted a reply to The 9 squares above are to be filled with x's and o's in the Data Sufficiency forum
“Hi All, We''re told that the 9 squares above are to be filled with X''s and O''s, with only one symbol in each square. We''re asked for the number of squares that will contain an X. This question is based around some simple Arithmetic and logic - although you might find it useful to draw a few ...”
May 13, 2019
Rich.C@EMPOWERgmat.com posted a reply to If a building has 6,000 square meters of floor space in the Data Sufficiency forum
“Hi All, We''re told that a building has 6,000 square meters of floor space. We''re asked for the number offices in the building. Since we''re given the total floor space, to answer this question, we''ll need to have some really specific data about the respective size(s) of the offices. This ...”
May 13, 2019
Rich.C@EMPOWERgmat.com posted a reply to In the figure above, RST is a triangle with angle measures in the Data Sufficiency forum
“Hi All, We''re told that In the figure above, RST is a triangle with angle measures as shown and PRTQ is a line segment. We''re asked for the value of (X+Y). This question is built around a couple of Geometry lines involving Triangles and Lines. To start, the angles in the triangle (re: s, r and ...”
May 13, 2019
Brent@GMATPrepNow posted a reply to In triangle JKL shown above, what is the length of segment in the Data Sufficiency forum
“KEY CONCEPT: 30-60-90 triangles are known as special right triangles, and we know quite a bit about this kind of triangle Target question: What is the length of segment JL ? Statement 1: JK = 10 https://i.imgur.com/sKEFT1R.png Compare ΔJKL with the BASE 30-60-90 triangle. Their ...”
May 13, 2019
Brent@GMATPrepNow posted a reply to A line that passes through (–1, –4) and (3, k) has a slo in the Problem Solving forum
“Slope of line between the points (x1, y1) and (x2, y2) = (y2 - y1)/(x2 - x1) So, we can write: k = [k - (-4)]/[3 - (-1)] Simplify: (k + 4)/4 = k Multiply both sides by 4 to get: k + 4 = 4k Subtract k from both sides to get: 4 = 3k Divide both sides by 3 to get: 4/3 = k Answer: C Cheers, ...”
May 13, 2019
Brent@GMATPrepNow posted a reply to If the two digit integers M and N are positive and have the in the Problem Solving forum
“This question relies on our ability to determine the VALUE of any 2-digit number. For example, what is the VALUE of 83? For many of us, it has been a very long time since we examined this (we learned this when we were 5 or 6). Most of us just say that 83 has a value of 83, but 83 is really just ...”
May 13, 2019
Max@Math Revolution posted a new topic called If 0 ＜ x+1 ＜ 1, which of the following lists is written in in the Problem Solving forum
“[GMAT math practice question] If 0 ＜ x+1 ＜ 1, which of the following lists is written in ascending order? A. x, x^{-1}, x^2, 1, x^{-2} B. x^{-2}, x, x^2, 1, x^{-1} C. x^{-1}, x, x^2, 1, x^{-2} D. x^{-1}, x^2, x, 1, x^{-2} E. x^{-1}, x, x^2, x^{-2}, 1”
May 13, 2019
Max@Math Revolution posted a new topic called If n is a positive integer, is n^2+2n+44 divisible by 4? in the Data Sufficiency forum
“[GMAT math practice question] If n is a positive integer, is n^2+2n+44 divisible by 4? 1) n is an even integer. 2) n^2 is divisible by 144”
May 13, 2019
Max@Math Revolution posted a reply to p and q are the roots of the equation x^2+ax+b=0. What is an in the Problem Solving forum
“=> If p and q are roots of the quadratic equation x^2 + ax + b = 0, then the quadratic equation can be written as (x-p)(x-q) = 0 or x^2 –(p+q)x + pq = 0. Thus, p + q = -a and pq = b. So, p^2q + pq^2 = pq(p+q) = b*(-a) = -ab Therefore, B is the answer. Answer: B ”
May 13, 2019
Max@Math Revolution posted a reply to What is the product of all roots of the equation √x+1 = x- in the Problem Solving forum
“=> √x+1 = x-√x-1 => 2√x = x-2 => 4x = (x-2)^2, after squaring both sides, => 4x = x^2-4x+4 => x^2-8x+4 = 0 If p and q are roots of a quadratic equation, then the quadratic equation is (x-p)(x-q) = 0 or x^2 –(p+q)x + pq = 0. The constant term pq is the product of ...”
May 13, 2019
Max@Math Revolution posted a reply to Is triangle ABC a right triangle? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since ...”
May 13, 2019
Max@Math Revolution posted a reply to In the xy-plane a circle C has (0,0) as its center and 5 as 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 13, 2019
Rich.C@EMPOWERgmat.com posted a reply to In the figure above, if A, B, and C are the areas, respectiv in the Data Sufficiency forum
“Hi All, We''re told that in the figure above, A, B, and C are the areas, respectively, of the three non-overlapping regions formed by the intersection of two circles of EQUAL area. We''re asked for the value of B + C. While this question might look like it might be step-heavy, there are some ...”
May 12, 2019
Rich.C@EMPOWERgmat.com posted a reply to In the figure above, the vertices of triangle OPQ and in the Data Sufficiency forum
“Hi All, We''re told that In the figure above, the vertices of triangle OPQ and triangle QRS have coordinates as indicated. We''re asked if triangle OPQ and triangle QRS have equal areas. This is a YES/NO question and is built on Geometry rules (although you might find it useful to TEST VALUES). ...”
May 12, 2019
Rich.C@EMPOWERgmat.com posted a reply to In triangle JKL shown above, what is the length of segment in the Data Sufficiency forum
“Hi All, Based on the triangle JKL above, we know that we''re dealign with a 30/60/90 right triangle. We''re asked for the length of segment JL. The 30/60/90 triangle has a specific ''ratio of sides'' (re: X : X√3 : 2X), meaning that if we know 1 of the sides, then we can determine the lengths ...”
May 12, 2019
Rich.C@EMPOWERgmat.com posted a reply to If, in the figure above, ABCD is a rectangular region in the Data Sufficiency forum
“Hi All, We''re told that in the figure above, ABCD is a rectangular region. We''re asked for the value of the ratio of (area of triangle EDA)/(area of triangle EBC)? This question is based on a couple of Geometry rules. It''s worth noting that all 3 triangles (EDA, EBC and EDC) all have the SAME ...”
May 12, 2019
Rich.C@EMPOWERgmat.com posted a reply to A six-sided mosaic contains 24 triangular pieces of tile in the Data Sufficiency forum
“Hi All, We''re told that a six-sided mosaic contains 24 triangular pieces of tile of the SAME size and shape, as shown in the figure above and that the sections of tile fit together perfectly. We''re asked for the total square centimeters of tile in the mosaic. While this question might look a ...”
May 12, 2019
Brent@GMATPrepNow posted a reply to If n is an integer greater than 10, then the expression (n^2 in the Problem Solving forum
“-----ASIDE--------------------- There''s a nice rule says: The product of k consecutive integers is divisible by k, k-1, k-2,...,2, and 1 So, for example, the product of any 5 consecutive integers will be divisible by 5, 4, 3, 2 and 1 Likewise, the product of any 11 consecutive integers will be ...”
May 12, 2019
Rich.C@EMPOWERgmat.com posted a reply to Is x an integer? in the Data Sufficiency forum
“Hi All, We''re asked if X is an INTEGER. This is a YES/NO question. This question is built around some standard math rules and Number Properties. (1) X^3 = 8 With Fact 1, we''re cubing the value of X and ending with a POSITIVE value - thus, X MUST be positive. Here, the value of X = +2 ...”
May 11, 2019
Rich.C@EMPOWERgmat.com posted a reply to In any sequence of n nonzero numbers, a pair of consecutive in the Data Sufficiency forum
“Hi All, We''re told that in any sequence of N NON-ZERO numbers, a pair of consecutive terms with opposite signs represents a sign change (for example, the sequence -2, 3, -4, 5 has three sign changes). We''re asked if the sequence of nonzero numbers s1, s2, s3, . . . , sn has an EVEN number of ...”
May 11, 2019
Rich.C@EMPOWERgmat.com posted a reply to If each side of parallelogram P has length 1, what is the in the Data Sufficiency forum
“Hi All, We''re told that each side of parallelogram P has length 1. We''re asked for the area of P. This is a great ''concept question'', meaning that if you know the concepts involved, then you don''t actually have to do much math to get the correct answer. Here, since we know all 4 sides of ...”
May 11, 2019
Rich.C@EMPOWERgmat.com posted a reply to In the figure above, what is the area of region PQRST ? in the Data Sufficiency forum
“Hi All, We''re asked for the area of region PQRST. This question is based around a couple of Geometry rules. To properly find the area, we can break this shape into 2 pieces (a rectangle and a triangle), so we need to know the dimensions of the rectangle and the exact type of triangle - since we ...”
May 11, 2019
Rich.C@EMPOWERgmat.com posted a reply to If x and y are the lengths of the legs of a right triangle, in the Data Sufficiency forum
“Hi All, We''re told that X and Y are the lengths of the legs of a RIGHT triangle. We''re asked for the value of (X)(Y). This question can be solved with a mix of Geometry rules and TESTing VALUES. (1) The hypotenuse of the triangle is 10√2. With the information in Fact 1 - and the ...”
May 11, 2019
Brent@GMATPrepNow posted a reply to If x and y are the lengths of the legs of a right triangle, in the Data Sufficiency forum
“ Given: x and y are the lengths of the legs of a right triangle We have something like this: https://i.imgur.com/VxCexHO.png Target question: What is the value of xy? Statement 1: The hypotenuse of the triangle is There are infinitely-many different right triangles that meet this ...”
May 11, 2019
Brent@GMATPrepNow posted a reply to In how many different ways can a soccer team finish the in the Problem Solving forum
“Question rephrased: In how many different ways can we arrange the letters WWWLLD -------------ASIDE-------------------------------------- When we want to arrange a group of items in which some of the items are identical, we can use something called the If there are n objects where A of them are ...”
May 11, 2019
Rich.C@EMPOWERgmat.com posted a reply to If a and b are integers, is a^5 < 4^b ? in the Data Sufficiency forum
“Hi All, We''re told that A and B are INTEGERS. We''re asked if A^5 is less than 4^B. This question can be approached with a mix of Number Properties and TESTing VALUES. To start, it''s worth noting that raising +4 to ANY power will lead to a POSITIVE value (for example, 4^0 = 1, 4^-1 = 1/4, ...”
May 10, 2019
Rich.C@EMPOWERgmat.com posted a reply to The total price of 5 pounds of regular coffee in the Data Sufficiency forum
“Hi All, We''re told that the total price of 5 pounds of regular coffee and 3 pounds of decaffeinated coffee was $21.50. We''re asked for the price of the 5 pounds of regular coffee. The information in the first sentence can be used to create a 2 variable equation, which should get us thinking ...” May 10, 2019 Rich.C@EMPOWERgmat.com posted a reply to A certain list, L, contains a total of n numbers, in the Data Sufficiency forum “Hi All, We''re told that List L contains a total of N numbers, NOT necessarily DISTINCT, that are arranged in INCREASING order and L1 is the list consisting of the first N1 numbers in L and L2 is the list consisting of the last N2 numbers in L. We''re asked if 17 is a MODE for L. It''s worth ...” May 10, 2019 Rich.C@EMPOWERgmat.com posted a reply to In the figure above, PQRT is a rectangle. What is the length in the Data Sufficiency forum “Hi All, We''re told that PQRT is a rectangle. We''re asked fo the length of segment PQ. This question can be solved with a mix of Geometry rules and TESTing VALUES. To start, when dealing with complex shapes, it helps to break the shape down into ''pieces'': here, we''re dealing with a ...” May 10, 2019 Rich.C@EMPOWERgmat.com posted a reply to Jones has worked at Firm X twice as many years as Green in the Data Sufficiency forum “Hi All, We''re told that Jones has worked at Firm X TWICE as many years as Green, and Green has worked at Firm X four years LONGER than Smith. We''re asked for the number of years that Green has worked at Firm X. This question can be approached in a couple of different ways, but there''s a ...” May 10, 2019 Brent@GMATPrepNow posted a reply to Jones has worked at Firm X twice as many years as Green in the Data Sufficiency forum “We can also solve the question using one variable Given: Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. Let G = the number of years Green worked at Firm X So, G - 4 = the number of years Smith worked at Firm X (since ...” May 10, 2019 Brent@GMATPrepNow posted a reply to In the below addition A, B, C, D, E, F, and G represent the in the Problem Solving forum “If we add two 2-digit numbers and the sum is a 3-digit number, then the 3-digit number must start with a 1. So, E = 1 In order for the sum to be a 3-digit number, A+C must be greater than 9 So, we have two options: EITHER A and C are 5 and 6, OR A and C are 4 and 6 If A and C are 5 and 6, ...” May 10, 2019 Max@Math Revolution posted a new topic called p and q are the roots of the equation x^2+ax+b=0. What is an in the Problem Solving forum “[GMAT math practice question] p and q are the roots of the equation x^2+ax+b=0. What is an expression for p^2q + pq^2 in terms of a and b? A. ab B. -ab C. a^2b D. ab^2 E. a^2b^2” May 10, 2019 Max@Math Revolution posted a reply to The sum of two numbers is 1 and their product is -1. What is in the Problem Solving forum “=> Let the numbers be x and y. Then x + y = 1 and xy = -1. Since (x+y)^2 = x^2 + 2xy + y^2 = x^2 + y^2 – 2, we have x^2 + y^2 = 3, and x^3 + y^3 = (x+y)(x^2-xy+y^2) = 1*(x^2+ 1 + y^2) = x^2+y^2+1 = 4. Therefore, the answer is D. Answer: D ” May 10, 2019 Max@Math Revolution posted a new topic called Is triangle ABC a right triangle? in the Data Sufficiency forum “[GMAT math practice question] Is triangle ABC a right triangle? 1) The perimeter of triangle ABC is 12 2) The length of the shortest side of triangle ABC is 3” May 10, 2019 Max@Math Revolution posted a new topic called Is triangle ABC a right triangle? in the Data Sufficiency forum “[GMAT math practice question] Is triangle ABC a right triangle? 1) The perimeter of triangle ABC is 12 2) The length of the shortest side of triangle ABC is 3” May 10, 2019 Max@Math Revolution posted a reply to Is |x-1| < |x-3|? 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 10, 2019 Rich.C@EMPOWERgmat.com posted a reply to The figure above represents a box that has the shape of a in the Data Sufficiency forum “Hi All, We''re told that the figure above represents a box that has the shape of a CUBE. We''re asked for the is the volume of the cube. While this question might appear a bit ''scary'', there''s a great ''logic shortcut'' built into it - since we''re dealing with a CUBE, we know that all of the ...” May 9, 2019 Rich.C@EMPOWERgmat.com posted a reply to Is x = y? in the Data Sufficiency forum “Hi All, We''re asked if X = Y. This is a YES/NO question can be solved with a mix of Arithmetic and TESTing VALUES. 1) (2X/3) - (Y/3) = 1/3 Since each value in this equation is divided by 3, we can ''simplify'' the equation by multiplying each term by 3. This gives us: 2X - Y = 1 2X = Y ...” May 9, 2019 Rich.C@EMPOWERgmat.com posted a reply to If a and b are constants, is the expression in the Data Sufficiency forum “Hi All, We''re told that A and B are constants. We''re asked if the expression (X+B)/(√(X+A)) is "defined" for x = -2. This is a YES/NO question and is a great ''concept'' question - meaning that you don''t have to do much math if you understand the concepts involved. For the given ...” May 9, 2019 Rich.C@EMPOWERgmat.com posted a reply to Is quadrilateral PQRS a parallelogram? in the Data Sufficiency forum “Hi All, We''re asked if quadrilateral PQRS is a parallelogram? This is a YES/NO question can be answered with a bit of logic (and a couple of drawings). By definition, a parallelogram must have 4 sides and each pair of ''opposite'' sides must be parallel. 1) Adjacent sides PQ and QR have the ...” May 9, 2019 Rich.C@EMPOWERgmat.com posted a reply to If xyz ≠ 0, what is the value of in the Data Sufficiency forum “Hi All, We''re told that If (X)(Y)(Z) ≠ 0. We''re asked for the value of (X^4)(Z^2) / (Z^2)(Y^2). This question can be approached in a number of different ways, including Algebra and TESTing VALUES. To start, it''s worth noting that none of the given variables can equal 0 and the term ...” May 9, 2019 Brent@GMATPrepNow posted a reply to If xyz ≠ 0, what is the value of in the Data Sufficiency forum “Target question: What is the value of (x⁴z²)/(z²y²)? This is a good candidate for rephrasing the target question. Since z ≠ 0, we know that z² ≠ 0 So, we can safely take (x⁴z²)/(z²y²) and divide top and bottom by z² to get: x⁴/y² REPHRASED target question: What is the value ...” May 9, 2019 Brent@GMATPrepNow posted a reply to Is quadrilateral PQRS a parallelogram? in the Data Sufficiency forum “Target question: Is quadrilateral PQRS a parallelogram? If you recognize that each statement on its own is not sufficient, we can jump straight to . . . Statements 1 and 2 combined There are infinitely-many quadrilaterals that satisfy BOTH statements. Here are two: Case a: PQRS could ...” May 9, 2019 Brent@GMATPrepNow posted a reply to A lecture course consists of 595 students. The students are in the Problem Solving forum “In order to have an EQUAL number of students in each section, the number of students per section MUST BE A FACTOR of 595 Let''s do some prime factorization 595 = (5)(7)(17) From the prime factorization, we can see that answer choice A, B, D and E are all factors of 595 Answer: C Cheers, ...” May 9, 2019 Brent@GMATPrepNow posted a reply to If a and b are constants, is the expression in the Data Sufficiency forum “Target question: Is the expression defined for x = –2? This is a great candidate for rephrasing the target question. If x = -2, then the expression becomes (-2)+b/√(-2+a) There are two ways in which the expression(-2)+b/√(-2+a) is NOT defined: case i) If a = 2, then the fraction''s ...” May 9, 2019 Brent@GMATPrepNow posted a reply to Is x = y? in the Data Sufficiency forum “Target question: Is x = y? Statement 1: 2x/3 - y/3 = 1/3 Multiply both sides by 3 to get: 2x - y = 1 There are several values of x and y that satisfy this equation. Here are two: Case a: x = 1 and y = 1. In this case, the answer to the target question is YES, it is the case that x = y ...” May 9, 2019 Brent@GMATPrepNow posted a reply to The figure above represents a box that has the shape of a in the Data Sufficiency forum “Target question: What is the volume of the box? IMPORTANT: For geometry Data Sufficiency questions, we are typically checking to see whether the statements "lock" a particular angle, length, or shape into having just one possible measurement. This concept is discussed in much greater ...” May 9, 2019 Brent@GMATPrepNow posted a reply to In the figure above, PQRT is a rectangle. What is the length in the Data Sufficiency forum “Let''s assign some variables to some of the lengths... https://i.imgur.com/BpaiRKm.png Target question: What is the value of x? Statement 1: The area of region PQRS is 39 and TS = 6. Region PQRS is a TRAPEZOID Area of trapezoid = (height)(base1 + base2)/2 So, we get: (x)(y + z)/2 = 39 ...” May 9, 2019 Brent@GMATPrepNow posted a reply to Charlie takes 2.5 hours to fly from Los Angeles to Mexico Ci in the Problem Solving forum “Here''s how I would answer this in my head Average speed = total distance/total time = 1200/2.5 = 2400/5 = 4800/10 = 480 Answer: D Cheers, Brent” May 9, 2019 Max@Math Revolution posted a new topic called What is the product of all roots of the equation √x+1 = x-√x in the Problem Solving forum “[GMAT math practice question] What is the product of all roots of the equation √x+1 = x-√x-1? A. 1 B. 2 C. 3 D. 4 E. 5” May 9, 2019 Max@Math Revolution posted a reply to A book has 1000 pages numbered 1, 2, 3, …, and so on. How in the Problem Solving forum “=> The page numbers 2, 12, 20, 21, 22, … , 29, 32, 42, … , 92 contain 19+1 = 20 copies of the digit, 2. The page numbers 102, 112, 120, 121, … , 129, 132, 142, … , 192 similarly contain 20 copies of the digit 2. The page numbers 200, 201, … , 299 contain 120 copies of the digit, 2. ...” May 9, 2019 Max@Math Revolution posted a new topic called In the xy-plane a circle C has (0,0) as its center and 5 as in the Data Sufficiency forum “[GMAT math practice question] In the xy-plane a circle C has (0,0) as its center and 5 as its radius. If line K is tangent to the circle C, what is the equation of line K? 1) Line K is tangent to the circle C at the point (0,5) 2) Line K passes through the point (5,5).” May 9, 2019 Max@Math Revolution posted a reply to If x, y, and z are integers, is xyz a multiple of 6? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” May 9, 2019 Brent@GMATPrepNow posted a reply to What amount did Jean earn from the commission on her sales in the Data Sufficiency forum “Target question: What amount did Jean earn from the commission on her sales in the FIRST HALF of 1988 ? Statement 1: In 1988 Jean''s commission was 5 percent of the total amount of her sales. We don''t know her total sales amount in 1988, AND we don''t know what happened in the FIRST HALF of ...” May 8, 2019 Max@Math Revolution posted a new topic called The sum of two numbers is 1 and their product is -1. What is in the Problem Solving forum “[GMAT math practice question] The sum of two numbers is 1 and their product is -1. What is the sum of their cubes? A. 1 B. 2 C. 3 D. 4 E. 5” May 8, 2019 Max@Math Revolution posted a reply to What is the remainder when the product of the first 10 prime in the Problem Solving forum “=> 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29 are the first 10 prime numbers. Of these, only 2 is an even integer. Their product is an even number, but it is not divisible by 4. Thus, the product has remainder 2 when it is divided by 4. Therefore, C is the answer. Answer: C ” May 8, 2019 Max@Math Revolution posted a new topic called Is |x-1| < |x-3|? in the Data Sufficiency forum “[GMAT math practice question] Is |x-1| < |x-3|? 1) x < 2 2) x > -2” May 8, 2019 Max@Math Revolution posted a reply to Is x + y < -1? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” May 8, 2019 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. ...” May 8, 2019 Brent@GMATPrepNow posted a reply to Six shipments of machine parts were shipped from a factory o in the Data Sufficiency forum “We might be able to solve this one faster by first converting the fractions to decimals. S1=0.25 S2=0.2 S3=0.17 (approx) S4=0.15 S5=0.13 (approx) S6=0.1 Statement 1: S2 and S4 were shipped on the first truck. First truck has 0.2 + 0.15 = 0.35 Since the first truck holds more than 0.5, ...” May 7, 2019 Brent@GMATPrepNow posted a reply to If a and b are integers, is a^5 < 4^b ? in the Data Sufficiency forum “\ Target question: Is a^5 > 4^b Statement 1: a³ = -27 Solve to get: a = -3 So, a^5 = (-3)^5 = -243 Since 4^b will be POSITIVE for all values of b, the answer to the target question is NO, a^5 is definitely NOT greater than 4^b Since we can answer the target question with certainty, ...” May 7, 2019 Brent@GMATPrepNow posted a reply to Anthony and Michael sit on the six-member board of directors in the Problem Solving forum “Let''s assume that we''re creating subcommittees. We want to place 6 people in the following spaces: _ _ _ | _ _ _ First, we place Michael in one subcommittee; it makes no difference which one: M _ _ | _ _ _ Now place Anthony. We can see that there are 5 spaces remaining. 2 spaces ...” May 7, 2019 Max@Math Revolution posted a new topic called A book has 1000 pages numbered 1, 2, 3, …, and so on. How ma in the Problem Solving forum “[GMAT math practice question] A book has 1000 pages numbered 1, 2, 3, …, and so on. How many times does the digit 2 appear on the page numbers? A. 200 B. 250 C. 300 D. 400 E. 500” May 7, 2019 Max@Math Revolution posted a new topic called If x, y, and z are integers, is xyz a multiple of 6? in the Data Sufficiency forum “[GMAT math practice question] If x, y, and z are integers, is xyz a multiple of 6? 1) x+y+z is a multiple of 6 2) x, y, and z are consecutive” May 7, 2019 Brent@GMATPrepNow posted a reply to If x is 8/3 percent of y, y is what percent of x? in the Problem Solving forum “x percent = x/100 So, 8/3 percent = (8/3)/100 = (8/3)/(100/1) = (8/3)(1/100) = 8/300 GIVEN: x is 8/3 percent of y, We can write: x = 8/300 of y In other words: x = (8/300)(y) or......: x = 8y/300 y is what percent of x? Take: x = 8y/300 Multiply both sides by 300 to get: 300x = 8y ...” May 7, 2019 Max@Math Revolution posted a new topic called What is the remainder when the product of the first 10 prime in the Problem Solving forum “[GMAT math practice question] What is the remainder when the product of the first 10 prime numbers is divided by 4? A. 0 B. 1 C. 2 D. 3 E. not defined” May 6, 2019 Max@Math Revolution posted a new topic called Is x + y < -1? in the Data Sufficiency forum “[GMAT math practice question] Is x + y < -1? 1) |x| > x and |y| > y 2) x^2+y^2 > 1” May 6, 2019 Max@Math Revolution posted a reply to What is the sum of the roots of the equation 4^x – 6·2^x in the Problem Solving forum “=> 4^x – 6·2^x + 8 = 0 => (2^x)^2– 6·2^x + 8 = 0 => (2^x-2)(2^x-4) = 0 => 2^x = 2 or 2^x = 4 => 2^x = 2^1 or 2^x = 2^2 => x = 1 or x = 2 Since 1+2=3, the correct answer is B. Answer: B” May 6, 2019 Max@Math Revolution posted a reply to [x] is the greatest integer less than or equal to x. What is in the Problem Solving forum “=> [√1] = 1 [√2] = 1 [√3] = 1 If 1 ≤ n < 4, then 1 ≤ √n < 2 and [√n] = 1 for n = 1, 2, 3 (3 terms). If 4 ≤ n < 9, then 2 ≤ √n < 3 and [√n] = 2 for n = 4, 5, …, 8 (5(=8-4+1) terms). If 9 ≤ n < 16, then 3 ≤ √n < 4 and [√n] = 3 for n = 9, 10, ...” May 6, 2019 Max@Math Revolution posted a reply to Is the integer n even? 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 6, 2019 Max@Math Revolution posted a reply to a, b, c, d and e are real numbers with a < b < c < 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 6, 2019 ceilidh.erickson posted a reply to Last year a record number of new manufacturing jobs were in the Critical Reasoning forum “For more on using this strategy for BOLDFACE questions on CR, see: https://www.beatthegmat.com/journalist-every-election-year-at-this-time-the-state-gover-t306075.html https://www.beatthegmat.com/most-of-western-music-since-the-renaissance-has-been-based-t305309.html#823603 ...” May 4, 2019 ceilidh.erickson posted a reply to Last year a record number of new manufacturing jobs were in the Critical Reasoning forum “The goal in any BOLDFACE question is to deconstruct the argument, and determine the role of each statement: - author''s conclusion / position - reasoning that supports the author''s position - the counterpoint / what others believe - support for the counterpoint - neutral / background ...” May 4, 2019 ceilidh.erickson posted a reply to Ramón pointed out that food high in whole-grain fiber creat in the Sentence Correction forum “This question is testing SUBJECT-VERB AGREEMENT, modifiers, & logical lists. In the dependent clause "... that food (high in whole grain fiber) creates...", the subject is the singular "food" and the verb is "creates." A. fiber creates the energy we need to ...” May 4, 2019 ceilidh.erickson posted a reply to The outside of the rectangular box represented in the figure in the Problem Solving forum “If we want the minimum amount of wrapping paper, we want to know the SURFACE AREA of all surface except the bottom surface. Calculate each: Top surface area = 25 x 10 = 250 2 sides of 5 x 10 = 2(5*10) = 100 2 sides of 5 x 25 = 2(5*25) = 250 250 + 100 + 250 = 600 The answer is B.” May 4, 2019 ceilidh.erickson posted a reply to On a scale drawing, a rectangle 1 inch by 1 and 1/3 inches in the Problem Solving forum “If the scale is 1 in = 15 ft, then the dimensions of the floor = 15x20 ft. https://i.postimg.cc/4K6VcCdg/Screenshot-2019-05-04-17-44-08.png If each tile is 6 in x 6 in, that''s 1/2 ft x 1/2 ft square. So every 1 sq feet of floor would take 4 tiles. ...” May 4, 2019 ceilidh.erickson posted a reply to In the floor plan of an executive's beach house above in the Problem Solving forum “Let''s set aside the fact that this is an awful floorplan. How would you find furniture to fit this house?! <i class="em em-joy"></i> If the two wall of the living room are parallel, then the kitchen and the (kitchen + living room + bath) are SIMILAR triangles. Similar ...” May 4, 2019 ceilidh.erickson posted a reply to How many integers between 0 and 1570 have a prime tens and in the Problem Solving forum “This is a COMBINATORICS problem. If we''re looking for a prime tens and units digit, we''re counting single-digit prime numbers: 2, 3, 5, and 7. Now we need to count the possibilities for each digit. Since we have the constraint that we''re looking for all #s 0-1570, we have to be careful, ...” May 4, 2019 Brent@GMATPrepNow posted a reply to Last year the range of the annual salaries of the 100 employ in the Problem Solving forum “A quick solution is to assign some values to the highest paid and lowest paid workers Let$10,000 = the lowest salary LAST YEAR Let $40,000 = the highest salary LAST YEAR This satisfies the condition that the range LAST YEAR =$30,000 If the annual salary of each of the 100 employees this ...”
May 4, 2019
Brent@GMATPrepNow posted a reply to Last year the range of the annual salaries of the 100 employ in the Problem Solving forum
“Hey BTGmoderatorDC, You posted this question 2 months ago: https://www.beatthegmat.com/last-year-the-range-of-the-annual-salaries-of-the-100-t306593.html Cheers, Brent”
May 4, 2019
Brent@GMATPrepNow posted a reply to A certain rectangular window is twice as long as it is wide. in the Problem Solving forum
“Approach #2: Algebra Let x = the width of the rectangle So, 2x = the length of the rectangle If the perimeter is 10, we can write: x + x + 2x + 2x = 10 Simplify: 6x = 10 Solve: x = 10/6 = 5/3 So, the width (x) is 5/3 And the length (2x) is 10/3 Answer: B Cheers, Brent”
May 4, 2019
Brent@GMATPrepNow posted a reply to A certain rectangular window is twice as long as it is wide. in the Problem Solving forum
“We COULD use algebra to solve this question. However, it''s probably faster to just test the answer choices The answer choices give us the length and width of the rectangle. So, the sum of two values will equal HALF the perimeter of the rectangle. Since we want a perimeter of 10, the ...”
May 4, 2019
Brent@GMATPrepNow posted a reply to Three-fourths of the area of a rectangular lawn 30 feet wide in the Problem Solving forum
“Here''s a diagram of the 30 x 40 lawn https://i.imgur.com/6dQyyQ5.png If we keep the full width (of 30 feet), then the length of the enclosure = 3/4 of 40 = 30 feet https://i.imgur.com/nRkAVRU.png So, the enclosure is a 30 by 30 square. The PERIMETER = 30 + 30 + 30 + 30 = 120 feet If ...”
May 4, 2019
Brent@GMATPrepNow posted a reply to If rectangle ABCD is inscribed in the circle above, what is in the Problem Solving forum
“Draw a line connecting points A and C. https://i.imgur.com/fQaxM5q.png An important circle property (see video below for more info) tells us that, if we have a 90-degree inscribed angle, then that angle must be containing ("holding") the DIAMETER of the circle. So, we know that AC = ...”
May 4, 2019
Brent@GMATPrepNow posted a reply to In quadrilateral ABCD above, what is the length of AB ? in the Problem Solving forum
“https://i.imgur.com/srEvM6A.png If we focus on the blue right triangle, we can EITHER recognize that legs of length 3 and 4 are part of the 3-4-5 Pythagorean triplet, OR we can apply the Pythagorean Theorem. https://i.imgur.com/L50lEKr.png Either way, we''ll see that the triangle''s ...”
May 4, 2019
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. ...”
May 3, 2019
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. ...”
May 3, 2019
Max@Math Revolution posted a new topic called What is the sum of the roots of the equation 4^x – 6·2^x + 8 in the Problem Solving forum
“[GMAT math practice question] What is the sum of the roots of the equation 4^x – 6·2^x + 8 = 0? A. 1 B. 3 C. 6 D. 8 E. 12”
May 3, 2019
Max@Math Revolution posted a reply to x^2 + 4x + 1 = 0. What is the value of x^2 + 1/x^2? in the Problem Solving forum
“=> x^2 + 4x + 1 = 0 => x + 4 + 1/x = 0 => x + 1/x = -4 So, (x + 1/x)2 = (-4)^2 and x^2 +2x(1/x) + 1/x^2 = 16. Therefore, x^2 +2 + 1/x^2 = 16 and x^2 + 1/x^2 = 14. Therefore, the answer is C. Answer: C ”
May 3, 2019
Max@Math Revolution posted a new topic called Is the integer n even? in the Data Sufficiency forum
“[GMAT math practice question] Is the integer n even? 1) There is a sum of n consecutive integers that is even. 2) [n/2] is an even number, where [n] is the greatest integer less than or equal to n.”
May 3, 2019
Max@Math Revolution posted a reply to In the x-y plane, the graph of y=f(x)=ax^2+bx+c passes throu 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 3, 2019
Max@Math Revolution posted a new topic called [x] is the greatest integer less than or equal to x. What is in the Problem Solving forum
“[GMAT math practice question] [x] is the greatest integer less than or equal to x. What is the value of [√1] + [√2] + [√3] + … + [√49] + [√50]? A. 115 B. 195 C. 217 D. 288 E. 360”
May 3, 2019
Max@Math Revolution posted a reply to 1/1^2 + 1/2^2 + 1/3^2 + 1/4^2 + … = π^2/6. What is the va in the Problem Solving forum
“=> Set x = 1/1^2 + 1/3^2 + 1/5^2 + … . Then π^2/6 =1/1^2 + 1/2^2 + 1/3^2 + 1/4^2 + … = (1/1^2 + 1/3^2 + 1/5^2 + … ) + (1/2^2 + 1/4^2 + 1/6^2 + … ) = (1/1^2 + 1/3^2 + 1/5^2 + … ) + (1/(1*2)^2 + 1/(2*2)^2 + 1/(2*3)^2 + … ) = (1/1^2 + 1/3^2 + 1/5^2 + … ) + (1/4)(1/1)^2 + ...”
May 3, 2019
Brent@GMATPrepNow posted a reply to A paint mixture was formed by mixing exactly 3 colors of in the Data Sufficiency forum
“Target question: How many gallons of green paint were used? Given: A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. 1 gallon of blue paint and 3 gallons of red paint were used. In other words, we ...”
May 2, 2019
Brent@GMATPrepNow posted a reply to If 2.00X and 3.00Y are 2 numbers in decimal form with thousa in the Data Sufficiency forum
“ Given: 2.00X and 3.00Y are 2 numbers in decimal form with thousandths digits X and Y Target question: Is 3(2.00X) > 2(3.00Y)? This is a good candidate for rephrasing the target question. Since X is the thousandths digit, we can write: 2.00X = 2 + X/1000 Since Y is the thousandths ...”
May 2, 2019
Max@Math Revolution posted a new topic called a, b, c, d and e are real numbers with a < b < c < d < e. Is in the Data Sufficiency forum
“[GMAT math practice question] a, b, c, d and e are real numbers with a < b < c < d < e. Is abcde negative? 1) abc < 0 2) cde < 0”
May 2, 2019
Max@Math Revolution posted a reply to What is the volume of a sphere? 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 2, 2019
Brent@GMATPrepNow posted a reply to If n^m leaves a remainder of 1 after division by 7 for all in the Problem Solving forum
“The most important piece of information is here: "for all positive integers n that are not multiples of 7" Since 2 is not a multiple of 7, then it must be the case that, for a particular value of m, 2^m leaves a remainder of 1 after division by 7 Let''s check the answer choices.... ...”
May 1, 2019
Max@Math Revolution posted a new topic called x^2 + 4x + 1 = 0. What is the value of x^2 + 1/x^2? in the Problem Solving forum
“[GMAT math practice question] x^2 + 4x + 1 = 0. What is the value of x^2 + 1/x^2? A. 10 B. 12 C. 14 D. 16 E.18”
May 1, 2019
Max@Math Revolution posted a reply to Alice, Bob, Cindy, Daren, Eddie, Farrell sit on chairs aroun in the Problem Solving forum
“=> https://i.postimg.cc/R3BJ3KtR/429.png First, place Alice and Farrell in opposite chairs as shown above (there is only one way to do this as the table is round). Next, arrange the four remaining people in 4! = 24 ways. Therefore, C is the answer. Answer: C”
May 1, 2019
Max@Math Revolution posted a new topic called In the x-y plane, the graph of y=f(x)=ax^2+bx+c passes throu in the Data Sufficiency forum
“[GMAT math practice question] In the x-y plane, the graph of y=f(x)=ax^2+bx+c passes through (-2,0) and (2,0). Is f(4) < 0? 1) f(0) > 0 2) f(-3) < 0”
May 1, 2019
Max@Math Revolution posted a reply to If f(x) = ax^2+bx+c, where a, b and c are integers, is b = 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 ...”
May 1, 2019
Brent@GMATPrepNow posted a reply to If x is an integer greater than 0, what is the remainder in the Data Sufficiency forum
“Target question: What is the remainder when x is divided by 4 ? Statement 1: The remainder is 3 when x + 1 is divided by 4. ------ASIDE---------------------- There''s a nice rule that says, "If N divided by D equals Q with remainder R, then N = DQ + R" For example, since 17 ...”
May 1, 2019
Brent@GMATPrepNow posted a reply to What number is 6 more than x + y ? in the Data Sufficiency forum
“Target question: What is the value of x + y + 6? Statement 1: y is 3 less than x. We can write: y = x - 3 There are several values of x and y that satisfy this equation. Here are two: Case a: x = 3 and y = 0. In this case, the answer to the target question is x + y + 6 = 3 + 0 + 6 = 9 ...”
May 1, 2019
Brent@GMATPrepNow posted a reply to Is the average (arithmetic mean) of the numbers x, y, and z in the Data Sufficiency forum
“Target question: Is the average (arithmetic mean) of the numbers x, y, and z greater than z? This is a good candidate for rephrasing the target question. Rewrite the question as "Is (x + y + z)/3 > z?" Multiply both sides by 3 to get: "Is x + y + z > 3z?" Subtract z ...”
May 1, 2019
Brent@GMATPrepNow posted a reply to Every object in a box is either a sphere or a cube, and ever in the Data Sufficiency forum
“Target question: How many objects are in the box? Given: Every object in a box is either a sphere or a cube, and every object in the box is either red or green. We can solve this using the Double Matrix Method. This technique can be used for most questions featuring a population in which ...”
May 1, 2019
Brent@GMATPrepNow posted a reply to What is the remainder when the positive integer n is divided in the Data Sufficiency forum
“Target question: What is the remainder when the positive integer n is divided by 5 ? Statement 1: When n is divided by 3, the quotient is 4 and the remainder is 1. There''s a nice rule that says, "If N divided by D equals Q with remainder R, then N = DQ + R" For example, since 17 ...”
April 30, 2019
Brent@GMATPrepNow posted a reply to Is n equal to zero? in the Data Sufficiency forum
“Target question: Is n equal to zero? Statement 1: The product of n and some nonzero number is 0 (n)(non-zero number) = 0 This means n must be 0 Since we can answer the target question with certainty, statement 1 is SUFFICIENT Statement 2: The sum of n and 0 is 0 If n + 0 = 0, we can ...”
April 30, 2019
Brent@GMATPrepNow posted a reply to If r and s are positive numbers and θ is one in the Data Sufficiency forum
“ Given: r and s are positive numbers and θ is one of the operations, +, −, ×, or ÷ Target question: Which operation is θ ? Statement 1: If r = s, then r θ s = 0 Keep in mind that r and s are POSITIVE So, we have POSITIVE θ POSITIVE = 0 POSITIVE + POSITIVE ≠ 0 So, θ cannot ...”
April 30, 2019
Brent@GMATPrepNow posted a reply to How many hours does it take Jennifer to run y miles if she r in the Problem Solving forum
“time = distance/rate So, time = y/x Answer: B Cheers, Brent”
April 30, 2019
Brent@GMATPrepNow posted a reply to If x = 5 – 4k and y = 5k – 3, then for what value of k d in the Problem Solving forum
“We want: x = y Replace values with their equivalents: 5 - 4k = 5k - 3 Add 4k to both sides: 5 = 9k - 3 Add 3 to both sides: 8 = 9k Divide both sides by 9 to get: 8/9 = k Answer: B Cheers, Brent”
April 30, 2019
Max@Math Revolution posted a new topic called 1/1^2 + 1/2^2 + 1/3^2 + 1/4^2 + … = π^2/6. What is the value in the Problem Solving forum
“[GMAT math practice question] 1/1^2 + 1/2^2 + 1/3^2 + 1/4^2 + … = π^2/6. What is the value of 1/1^2 + 1/3^2 + 1/5^2 + … ? A. π^2/8 B. π^2/2 C. π^2 D. 2π^2 E. 4π^2”
April 30, 2019
Max@Math Revolution posted a new topic called What is the volume of a sphere? in the Data Sufficiency forum
“[GMAT math practice question] What is the volume of a sphere? 1) The circumference of the sphere is 6π 2) The surface area of the sphere is 36π”
April 30, 2019
Max@Math Revolution posted a new topic called Alice, Bob, Cindy, Daren, Eddie, Farrell sit on chairs aroun in the Problem Solving forum
“[GMAT math practice question] Alice, Bob, Cindy, Daren, Eddie, Farrell sit on chairs around a round table. Alice sits opposite Farrell. How many seating arrangements are possible? A. 2 B. 6 C. 24 D. 120 E. 720”
April 30, 2019
Max@Math Revolution posted a new topic called If f(x) = ax^2+bx+c, where a, b and c are integers, is b = 0 in the Data Sufficiency forum
“[GMAT math practice question] If f(x) = ax^2+bx+c, where a, b and c are integers, is b = 0? 1) f(10) = f(-10)=0 2) f(0)f(10)=0”
April 30, 2019
Max@Math Revolution posted a reply to What is the maximum value of (x^2+2x+3)/(x^2+2x+2)? in the Problem Solving forum
“=> (x^2+2x+3)/(x^2+2x+2) =(x^2+2x+2+1)/(x^2+2x+2) = (x^2+2x+2)/(x^2+2x+2) + 1/(x^2+2x+2) = 1 + 1/(x^2+2x+2) x^2+2x+2 =x^2+2x+1+1 =(x+1)^2+1 ≥ 1, with equality when x = -1. Thus, 1/(x^2+2x+2) ≤ 1 and 1 + 1/(x^2+2x+2) ≤ 2, with equality when x = -1. Therefore, the maximum ...”
April 30, 2019
Max@Math Revolution posted a reply to Suppose x = a/b (b≠0). Which of following is equivalent to in the Problem Solving forum
“=> (a^2+ab) / (a^2+b^2)? = { (a^2/b^2) + (ab/b^2) } / { (a^2/b^2) + (b^2/b^2) } = { (a/b)^2 + (a/b) } / { (a/b)^2 + 1 } = (x^2+x)/(x^2+1) Therefore, the answer is A. Answer: A”
April 30, 2019
Max@Math Revolution posted a reply to If m and n 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 ...”
April 30, 2019
Max@Math Revolution posted a reply to If x, y and z are integers with x < y < z, is z > 4 in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
April 30, 2019
Rich.C@EMPOWERgmat.com posted a reply to Is the integer p divisible by 5 ? in the Data Sufficiency forum
“Hi All, We''re told that P is an integer. We''re asked if P is divisible by 5. This is a YES/NO question and can be solved with Number Properties and/or TESTing VALUES. (1) P is divisible by 10. Since P is divisible by 10, we know that it is also a multiple of 2 and a multiple of 5. For ...”
April 29, 2019
Rich.C@EMPOWERgmat.com posted a reply to In a sequence of numbers in which each term is 2 more than in the Data Sufficiency forum
“Hi All, We''re told that in a sequence of numbers, each term is 2 more than the preceding term. We''re asked for the fourth term. Sequence questions often come down to two pieces of information: the "formula" for how the sequence progresses and one (or more) of the terms (so that you ...”
April 29, 2019
Rich.C@EMPOWERgmat.com posted a reply to If a school district paid a total of $35 per desk for x desk in the Data Sufficiency forum “Hi All, We''re told that a school district paid a total of$35 per desk for X desks and a total of $30 per table for Y tables. We''re asked for the total amount that the district paid for these desks and tables. This DS question revolves around basic Arithmetic, but you don''t actually have to ...” April 29, 2019 Rich.C@EMPOWERgmat.com posted a reply to Trying to get 500 in the The GMAT Avengers Study Group forum “Hi John, Many GMATers typically spend 10-15 hours per week (or more) each week for several months before they take the GMAT. It''s worth noting that the time to take each FULL CAT - and properly review it - will likely require 7-10 hours just for that one part of your study plan. If you''re ...” April 29, 2019 Brent@GMATPrepNow posted a reply to If a school district paid a total of$35 per desk for x desk in the Data Sufficiency forum
“ Given: School district paid a total of $35 per desk for x desks and a total of$30 per table for y tables So, the TOTAL amount paid = 35x + 30y. Target question: What was the total amount that the district paid for these desks and tables?? Statement 1: The total amount the district ...”
April 29, 2019
Brent@GMATPrepNow posted a reply to In a sequence of numbers in which each term is 2 more than in the Data Sufficiency forum
“ Given: Sequence of numbers is such that each term is 2 more than the preceding term Target question: What is the value of term_4? Statement 1: The last term is 90. We have no idea how many terms there are in the sequence. So, the last term could be term_5 or term_9 or term_12 or . . . ...”
April 29, 2019
Brent@GMATPrepNow posted a reply to Is the integer p divisible by 5 ? in the Data Sufficiency forum
“Target question: Is the integer p divisible by 5? Statement 1: p is divisible by 10. If p is divisible by 10, we can write: p = 10k, for some integer k. Rewrite this as: p = (5)(2)(k) This tells us that p is a multiple of 5, which means p must be divisible by 5 Since we can answer the ...”
April 29, 2019
Brent@GMATPrepNow posted a reply to If R, S, and T are points on a line in the Data Sufficiency forum
“ Given: R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S There are 4 possible scenarios that meet the above conditions: https://i.imgur.com/kOeqUfZ.png Target question: How far is S from T? Statement 1: R is between S and T. When we check the 4 ...”
April 29, 2019
Brent@GMATPrepNow posted a reply to If m and n are integers, what is the value of m + n ? in the Data Sufficiency forum
“ Given: m and n are integers Target question: What is the value of m + n ? Statement 1: (x + m)(x + n) = x² + 5x + mn and x ≠ 0. Use FOIL to expand the left side: x² + nx + mx + mn = x² + 5x + mn Factor the two middle terms: x² + x(n + m) + mn = x² + 5x + mn At this point, we ...”
April 29, 2019
Brent@GMATPrepNow posted a reply to If a and b are integers, and b > 0, does (a−1)/(b+1) = in the Data Sufficiency forum
“ Given: a and b are integers, and b > 0 Target question: Does (a - 1)/(b + 1) = a/b? This is a good candidate for rephrasing the target question. Take the equation: (a - 1)/(b + 1) = a/b Cross multiply to get: (b)(a - 1) = (a)(b + 1) Expand both sides to get: ab - b = ab + a ...”
April 29, 2019
Brent@GMATPrepNow posted a reply to Is the sum of two integers divisible by 10 ? in the Data Sufficiency forum
“Target question: Is the sum of two integers divisible by 10 ? Statement 1: One of the integers is even. We only have information about ONE number. Statement 1 is NOT SUFFICIENT Statement 2: One of the integers is a multiple of 5. We only have information about ONE number. Statement 2 ...”
April 29, 2019
Marty Murray posted a reply to How divide my study time? Quant/Verbal in the GMAT Strategy forum
“Hi simpm14. First off. This thing of thinking that seeing easy questions means that you are not doing well on the test is way off, for multiple reasons, including the following. - What may be difficult for most people may seem easy to you. - The actual GMAT includes experimental questions, ...”
April 29, 2019
Brent@GMATPrepNow posted a reply to If p, r, and s are consecutive integers in ascending in the Data Sufficiency forum
“ Given: p, r, and s are consecutive integers in ascending order and x is the average (arithmetic mean) of the three integers Since p, r and s are EQUALLY spaced, the mean of the 3 numbers = the median of the 3 numbers. Since p < r < s, we know that r = the mean = the median. In other ...”
April 29, 2019
Brent@GMATPrepNow posted a reply to Three children inherited a total of X dollars. If the oldest in the Data Sufficiency forum
“ Given: Three children inherited a total of X dollars. The oldest child inherited $7,000 more than the youngest child, and the youngest child inherited$9,000 less than the middle child Let y = the amount the YOUNGEST child received So, y + 7000 = the amount the OLDEST child received And y + ...”
April 29, 2019
Brent@GMATPrepNow posted a reply to Is x<y? in the Data Sufficiency forum
“Target question: Is x < y? Statement 1: z< y No information about x Statement 1 is NOT SUFFICIENT Statement 2: z < x No information about y Statement 2 is NOT SUFFICIENT Statements 1 and 2 combined The combined statements tell us that x and y are both greater than z ...”
April 28, 2019
Brent@GMATPrepNow posted a reply to What is the value of a^4 - b^4? in the Data Sufficiency forum
“Target question: What is the value of a⁴ - b⁴? NOTE: a⁴ - b⁴ is a difference of square, which we can factor. a⁴ - b⁴ = (a² - b²)(a² + b²) So, we can REPHRASE the target question as... REPHRASED target question: What is the value of (a² - b²)(a² + b²)? Statement 1: ...”
April 28, 2019
Brent@GMATPrepNow posted a reply to Which of the following could be the equation of line m? in the Problem Solving forum
“First off, we can eliminate answer choice D, since y = 2 is the equation of a HORIZONTAL line, and the given line is NOT horizontal. Next, we can eliminate answer choice E, since x = -2 is the equation of a VERTICAL line, and the given line is NOT vertical. Now notice that line m has a ...”
April 28, 2019
Rich.C@EMPOWERgmat.com posted a reply to Trying to get 500 in the The GMAT Avengers Study Group forum
“Hi John, Many GMATers lead ''busy'' lives, so you''re not alone. If your study time will be limited, then you''ll clearly need to be efficient with your studies, but it will take some significant effort to raise a 250 to the point that you can consistently score 500+. That having been said, ...”
April 28, 2019
Rich.C@EMPOWERgmat.com posted a reply to Is the sum of four particular integers even? in the Data Sufficiency forum
“Hi All, We''re told that we have four INTEGERS. We''re asked if the sum of those four integers is EVEN. This is a YES/NO question and can be solved with either Number Property rules or TESTing VALUES. (1) Two of the integers are ODD and two are EVEN. Fact 1 gives us enough information to ...”
April 28, 2019
Rich.C@EMPOWERgmat.com posted a reply to If the 1st term of a sequence is 0 and the 2nd term is 1... in the Data Sufficiency forum
“Hi All, We''re told that the 1st term of a sequence is 0 and the 2nd term is 1. We''re asked if the 5th term in the sequence is 2. To properly answer any sequence question, we need to know the underlying pattern or formula behind it. (1) Each odd-numbered term is either 0 or 2. Fact 1 ...”
April 28, 2019
Rich.C@EMPOWERgmat.com posted a reply to Is the integer x a 3-digit integer? in the Data Sufficiency forum
“Hi All, We''re told that X is an integer. We''re asked if X is a 3-digit integer. This question can be solved by TESTing VALUES. (1) X is the SQUARE of an INTEGER. Fact 1 tells us that X is a ''perfect square.'' For example, X could be 1, 4, 9.....100, 121, 144....10,000, etc. IF.... ...”
April 28, 2019
Rich.C@EMPOWERgmat.com posted a reply to If r and s are positive integers... in the Data Sufficiency forum
“Hi All, We''re told that R and S are POSITIVE INTEGERS. We''re asked if R+S is EVEN. This is a YES/NO question and can be solved with Number Properties and/or by TESTing VALUES. To start, you might find it helpful to write down a few Number Property rules: (Even) + (Even) = Even (Even) + ...”
April 28, 2019
Rich.C@EMPOWERgmat.com posted a reply to If S is a set of odd integers and 3 and -1... in the Data Sufficiency forum
“Hi All, We''re told that Set S is a set of ODD INTEGERS and 3 and -1 are in S. We''re asked if -15 in S. This question is more about logic and basic Arithmetic than anything else, so taking the proper notes - and thinking about the possibilities - is all that''s really needed to beat it. (1) ...”
April 28, 2019
Rich.C@EMPOWERgmat.com posted a reply to Trying to get 500 in the The GMAT Avengers Study Group forum
“Hi John, Many Test Takers are unhappy with their initial practice scores, but you really shouldn''t be. That first CAT Score is just a measure of your skills right now - and you''ll improve on that result over time as you learn more about the content, Tactics and little ''secrets'' of the Exam. ...”
April 28, 2019
Brent@GMATPrepNow posted a reply to If S is a set of odd integers and 3 and -1... in the Data Sufficiency forum
“ Given: S is a set of odd integers and 3 and –1 are in S Target question: Is –15 in S ? Statement 1: 5 is in S So far, set S looks like this: {-1, 3, 5, . . . .} So, -15 may or may not be in set S Since we cannot answer the target question with certainty, statement 1 is NOT ...”
April 28, 2019
Brent@GMATPrepNow posted a reply to If r and s are positive integers... in the Data Sufficiency forum
“ Given: r and s are positive integers Target question: Is r + s even? Statement 1: r is even. Since we have no information about s, we cannot determine whether r + s is even Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2: s is ...”
April 28, 2019
Brent@GMATPrepNow posted a reply to When positive integer k is divided by 5, the remainder is 2. in the Problem Solving forum
“When it comes to remainders, we have a nice rule that says: If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), ...”
April 28, 2019
Brent@GMATPrepNow posted a reply to Is the integer x a 3-digit integer? in the Data Sufficiency forum
“Target question: Is the integer x a 3-digit integer? Statement 1: x is the square of an integer. Let''s TEST some values. There are several values of x that satisfy statement 1. Here are two: Case a: x = 10² = 100. In this case, the answer to the target question is YES, x IS a 3-digit ...”
April 28, 2019
Brent@GMATPrepNow posted a reply to If the 1st term of a sequence is 0 and the 2nd term is 1... in the Data Sufficiency forum
“ Given: term1 = 0 and term2 = 1 Target question: Does term5 equal 2? Once we scan the two statements, we can probably jump straight to . . . Statements 1 and 2 combined There are several possible sequences that satisfy BOTH statements. Here are two: Case a: {0, 1, 2, 0, 2,...}. In ...”
April 28, 2019
Brent@GMATPrepNow posted a reply to Is the sum of four particular integers even? in the Data Sufficiency forum
“Some important rules: #1. ODD +/- ODD = EVEN #2. ODD +/- EVEN = ODD #3. EVEN +/- EVEN = EVEN #4. (ODD)(ODD) = ODD #5. (ODD)(EVEN) = EVEN #6. (EVEN)(EVEN) = EVEN Target question: Is the sum of four particular integers even? Statement 1: Two of the integers are odd and two are even. ...”
April 28, 2019
Brent@GMATPrepNow posted a reply to If 90/k is an integer, is k an integer? in the Data Sufficiency forum
“ Given: 90/k is an integer Target question: Is k an integer? Statement 1: k > 1 Let''s TEST some values. There are several values of k that satisfy statement 1. Here are two: Case a: k = 10. Notice that 90/k = 90/10 = 9, which is an integer. In this case, the answer to the target ...”
April 27, 2019
Brent@GMATPrepNow posted a reply to For a recent play performance, the ticket prices were $25 in the Data Sufficiency forum “Target question: How many of the tickets sold were for adults? Given: A total of 500 tickets were sold for the performance Let C = # of child tickets sold Let A = # of adult tickets sold So, C + A = 500 Statement 1: Revenue from ticket sales for this performance totaled$10,500 In other ...”
April 27, 2019
Brent@GMATPrepNow posted a reply to The arithmetic mean of a data set is 46 and the standard in the Problem Solving forum
“-----------ASIDE----------------- A little extra background on standard deviations above and below the mean If, for example, a set has a standard deviation of 4, then: 1 standard deviation = 4 2 standard deviations = 8 3 standard deviations = 12 1.5 standard deviations = 6 0.25 ...”
April 27, 2019
Brent@GMATPrepNow posted a reply to In the town of Z, the town lion roars on some days and not in the Data Sufficiency forum
“Target question: What is the probability that on that day, either the town lion roared or it rained? This is a good candidate for rephrasing the target question. This is an OR probability. The OR probability rule says, P(A or B) = P(A) + P(B) - P(A and B) So, P(rained or roared) = P(rained) + ...”
April 27, 2019
Brent@GMATPrepNow posted a reply to If 20 percent of x is 5y, and y = 7, what is 60 percent in the Problem Solving forum
“GIVEN: 20 percent of x = 5y This means: 40 percent of x = 10y And: 60 percent of x = 15y Since y = 7, we can write: 60 percent of x = 15(7) = 105 Answer: A”
April 27, 2019
Brent@GMATPrepNow posted a reply to Is x^2 > 15? in the Data Sufficiency forum
“Target question: Is x² > 15? Statement 1: x > -4 Let''s TEST some values. There are several values of x that satisfy statement 1. Here are two: Case a: x = -1. In this case, x² = (-1)² = 1. So, the answer to the target question is NO, x² is NOT greater than 15 Case b: x = ...”
April 27, 2019
Marty Murray posted a reply to How divide my study time? Quant/Verbal in the GMAT Strategy forum
“Hi Mike. I want to add one thing about RC. I realize people talk about "difficult" or "boring" RC passages, but I have to wonder how much of what''s going on is psychological. The passages aren''t really that hard to read, and are only a few paragraphs long. Looking ...”
April 27, 2019
ceilidh.erickson posted a reply to Trouble dividing Sleep Eat Play Study Work in the Lounge forum
“One very important piece of advice - DON''T SKIMP ON SLEEP! Sleep is when memory consolidation happens, so if you''re staying up late to study without sleeping, you won''t hold onto those memories anyway, so it''s wasted effort. Sleep deprivation can essentially cause amnesia in the long run, ...”
April 27, 2019
ceilidh.erickson posted a reply to The recent surge in the number of airplane flights has in the Sentence Correction forum
“This question is testing PARALLELISM and MEANING. When we see "... , and prompts..." we know that we''re looking for a parallel list: X, Y, and Z. Just note: we don''t have to make every verb in the sentence parallel! You might be looking for: ... the surge has clogged air traffic ...”
April 27, 2019
ceilidh.erickson posted a reply to If gh < 0 < gk, is g < 0? in the Data Sufficiency forum
“When we have variables with inequalities, we have to make sure that we don''t make assumptions about the SIGN, i.e. whether it''s positive or negative. If gh < 0 < gk, is g < 0? We definitely can''t divide through by g to get h < 0 < k, because if g were negative, the signs ...”
April 26, 2019
ceilidh.erickson posted a reply to If a and b are positive integers divisible by 6, is 6 the in the Data Sufficiency forum
“In this divisibility question, we can either TEST CASES or use DIVISIBILITY THEORY. If a and b are positive integers divisible by 6, is 6 the greatest common divisor of a and b? (1) a = 2b + 6 Testing Cases: Case 1: b = 6 a = 2(6) + 6 = 18 the GCF of 6 and 18 is 6 --> yes. Case ...”
April 26, 2019
ceilidh.erickson posted a reply to On Monday, Daisy’s Lemonade Stand sold lemonade at 20 cent in the Critical Reasoning forum
“When we''re asked what assertion is supported, we''re really asked what MUST be true, i.e. what''s inferable. If the 2 lemonade stands reported identical revenues and identical profits, we can infer 2 things: 1. the costs must have been identical, since Profit = Revenue - Costs. 2. Since ...”
April 26, 2019
ceilidh.erickson posted a reply to $$w, x$$ and $$y$$ are positive integers such that in the Data Sufficiency forum
“First, infer everything we can from the given information: $$w, x$$ and $$y$$ are positive integers such that $$w \leq x \leq y$$ the average (arithmetic mean) of $$w, x$$ and $$y$$ is $$20$$ Infer --> the sum of w, x, and y is 60. Question: is $$w > 15$$? Since we know that the sum ...”
April 26, 2019
ceilidh.erickson posted a reply to In the United States, of the young adults who move from one in the Critical Reasoning forum
“This question - like many others from Veritas Prep - directly plagiarizes an Official Guide question: Explanation for that question here: https://www.beatthegmat.com/i-m-doubting-the-official-answer-of-a-cr-question-t156084.html#551227 I would advise GMAT studiers to ignore any resources ...”
April 26, 2019
Max@Math Revolution posted a new topic called What is the maximum value of (x^2+2x+3)/(x^2+2x+2)? in the Problem Solving forum
“[GMAT math practice question] What is the maximum value of (x^2+2x+3)/(x^2+2x+2)? A. 0 B. 1 C. 2 D. 3 E. 5”
April 26, 2019
Max@Math Revolution posted a reply to Which of following is equivalent to in the Problem Solving forum
“=> ...”
April 26, 2019
Max@Math Revolution posted a new topic called If m and n are positive integers, what is the remainder when in the Data Sufficiency forum
“[GMAT math practice question] If m and n are positive integers, what is the remainder when 12^{mn} is divided by 13? 1) m=even 2) n=odd”
April 26, 2019
Max@Math Revolution posted a reply to m and n are positive integers greater than 1. Is m^n a perfe 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 ...”
April 26, 2019
Brent@GMATPrepNow posted a reply to If digit $$h$$ is the hudredths' digit in the decimal in the Data Sufficiency forum
“ Given: Digit h is the hundredths digit in the decimal d=0.2h6 Target question: What is the value of d, rounded to the nearest TENTH? Statement 1: d < 1/4 In other words, 0.2h6 < 0.25 This means h = 0, 1, 2, 3 or 4 If h = 0, 1, 2, 3 or 4, then 0.2h6 (aka d) rounded to the nearest ...”
April 26, 2019
Brent@GMATPrepNow posted a reply to In the rectangular coordinate system, line $$k$$ is defined in the Data Sufficiency forum
“KEY CONCEPT: If a point lies ON a line, then the coordinates (x and y) of that point must SATISFY the equation of the line. Given: Line k is defined by the equation x - 2y + n = 0 Target question: What is the value of n? Statement 1: The x-intercept of line k is 8 In other words, ...”
April 26, 2019
Rich.C@EMPOWERgmat.com posted a reply to How divide my study time? Quant/Verbal in the GMAT Strategy forum
“Hi Mike, GMAC has publicly stated that the Official Score that you earn on Test Day is within +/- 30 points of actual ability. Assuming a similar ''swing'' in how your CATs function, 3 of your CAT score results show that you essentially performed the same each time (700 +/- a few points) - and ...”
April 26, 2019
Brent@GMATPrepNow posted a reply to If z is a three-digit positive integer, what is the value in the Data Sufficiency forum
“ Given: z is a three-digit positive integer Target question: What is the value of the tens digit of z ? Statement 1: The tens digit of z - 91 is 3 Let''s examine two EXTREME cases z - 91 = 30 z - 91 = 39 NOTE: These are extreme cases, because 30 is the smallest 2-digit number ...”
April 25, 2019
Brent@GMATPrepNow posted a reply to Of the 60 animals on a certain farm, 2/3 are either pigs or in the Data Sufficiency forum
“Target question: How many of the animals are cows? Given: Of the 60 animals in a certain farm, 2/3 are either pigs or cows Let P = # of pigs Let C = # of cows 2/3 of 60 = 40, so we can say that P + C = 40 Statement 1: The farm has MORE THAN twice as many cows as it has pigs. In other ...”
April 25, 2019
Max@Math Revolution posted a new topic called Suppose x = a/b (b≠0). Which of following is equivalent to ( in the Problem Solving forum
“[GMAT math practice question] Suppose x = a/b (b≠0). Which of following is equivalent to (a^2+ab) / (a^2+b^2)? A. (x^2+x)/(x^2+1) B. 1/(x^2+1) C. 1 D. x^2+1 E. x^2+x”
April 25, 2019
Max@Math Revolution posted a reply to What is the value of in the Problem Solving forum
“=> Let $$x=1+\frac{6}{1+\frac{6}{1+\frac{+}{1+...}}}$$ This is equivalent to x = 1 + 6/x or x^2 = x + 6. Rearranging yields x^2 - x + 6 = 0 or (x+2)(x-3)=0. So, x = -2 or x = 3. Since x is a positive number, x = 3. Therefore, the answer is C Answer: C”
April 25, 2019
Max@Math Revolution posted a new topic called If x, y and z are integers with x < y < z, is z > 4? in the Data Sufficiency forum
“[GMAT math practice question] If x, y and z are integers with x < y < z, is z > 4? 1) x+y+z=12 2) x < 4”
April 25, 2019
Max@Math Revolution posted a reply to If n is a positive integer, what is the value 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. The first ...”
April 25, 2019
Rich.C@EMPOWERgmat.com posted a reply to A certain movie star's salary for each film she makes consis in the Problem Solving forum
“Hi All, This question involves what''s called "system math", which is an algebra concept. We need to translate the given prompt into a couple of algebra equations, then solve. We''re told that a total is based on a fixed amount + a percentage of a gross. From the two roles, we can ...”
April 24, 2019
Rich.C@EMPOWERgmat.com posted a reply to There are 300 seniors at Morse High School, and 40% of them in the Problem Solving forum
“Hi All, This question can be solved in a variety of ways - with ratios, as a weighted average, or even by TESTing THE ANSWERS. Most Test Takers would probably take an algebraic approach with this question (which is fine), but here''s how you can use the answers to your advantage and just do ...”
April 24, 2019
Brent@GMATPrepNow posted a reply to Bill rides his bike to work in the morning on a route that in the Data Sufficiency forum
“Here''s a similar question to practice with: https://www.beatthegmat.com/distance-t273181.html Cheers, Brent”
April 24, 2019
Brent@GMATPrepNow posted a reply to What is the value of x? in the Data Sufficiency forum
“Target question: What is the value of x? Statement 1: 4x = 2y − 6 Divide both sides by 2 to get: 2x = y - 3 Divide both sides by 2 (again) to get: x = (y - 3)/2 As you might guess, there are infinitely many solutions to the equation x = (y - 3)/2. Here are two: Case a: y = 3, and x = 0. ...”
April 24, 2019
Brent@GMATPrepNow posted a reply to Phone plan A charges $1.25 for the first minute and$0.15 in the Problem Solving forum
“Phone plan A charges $1.25 for the first minute and$0.15 for every minute thereafter. Let x = total duration of phone call (in minutes) So, the cost of an x-minute call = $1.25 + ($0.15)(x - 1) ASIDE: I created the expression ($0.15)(x - 1) because we pay$1.25 for the FIRST minute. So, if x = ...”
April 24, 2019
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. ...”
April 24, 2019
Max@Math Revolution posted a new topic called Which of following is equivalent to in the Problem Solving forum
“[GMAT math practice question] 4.24 Which of following is equivalent to $$\frac{\left(\sqrt{2}+1\right)^{\sqrt{3}-1}}{\left(\sqrt{2}-1\right)^{\sqrt{3}+1}}$$ A. 1 B. √2 C. 3-2√2 D. 3+2√2 E. 6√2”
April 24, 2019
Max@Math Revolution posted a reply to What is the smallest positive multiple of 15 that has only 0 in the Problem Solving forum
“=> A multiple of 15 is a number divisible by both 3 and 5. Since it is divisible by 5, its units digit must be 0 or 5. Since it is divisible by 3, the sum of its digits must be a multiple of 3. 1110 is the smallest number with only 0 and 1 as its digits that has a units digit of 0 or 5 ...”
April 24, 2019
Max@Math Revolution posted a new topic called m and n are positive integers greater than 1. Is m^n a perfe in the Data Sufficiency forum
“[GMAT math practice question] m and n are positive integers greater than 1. Is m^n a perfect square? 1) m is an odd integer 2) n is an odd integer”
April 24, 2019
Max@Math Revolution posted a reply to y ≠ 0. What is the value of x/y? 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. Note: Even ...”
April 24, 2019
Rich.C@EMPOWERgmat.com posted a reply to GMAT official mocks 3-4 not working in the GMAT Strategy forum
“Hi Zaidf1997, That sounds like an issue that is probably best handled by GMAC''s Tech Support Team. Since your friend purchased the original Exam Pack, has he/she tried to use the login (and what happens then?)? GMAT assassins aren''t born, they''re made, Rich”
April 23, 2019
Max@Math Revolution posted a new topic called What is the value of in the Problem Solving forum
“[GMAT math practice question] What is the value of $$1+\frac{6}{1+\frac{6}{1+\frac{6}{1+...}}}$$ ? A. 1 B. 2 C. 3 D. 4 E. 5”
April 23, 2019
Max@Math Revolution posted a new topic called If n is a positive integer, what is the value of n? in the Data Sufficiency forum
“[GMAT math practice question] If n is a positive integer, what is the value of n? 1) n(n-1) is a prime number 2) n(n+1) has 4 factors”
April 23, 2019
Rich.C@EMPOWERgmat.com posted a new topic called Free Prep Course: Enter to Win EMPOWERgmat''s FULL Course! in the GMAT Strategy forum
“EMPOWERgmat is giving a way our groundbreaking GMAT prep course for free (a $349 value) to TWO lucky winners. No purchase necessary. Entering is easy: invite friends or share on social media to earn additional entries. You can also get DAILY and BONUS entries. Check out the giveaway page to ...” April 22, 2019 Rich.C@EMPOWERgmat.com posted a reply to A piece of twine of length t is cut into two pieces. in the Problem Solving forum “Hi All, We''re told that a piece of twine of length T is cut into two pieces and that the length of the longer piece is 2 yards greater than 3 times the length of the shorter piece. We''re asked for the length, in yards, of the longer piece. This question can be solved in a couple of different ...” April 22, 2019 Rich.C@EMPOWERgmat.com posted a reply to If k^2 = m^2, which of the following must be true? in the Problem Solving forum “Hi VJesus12, We''re told that K^2 = M^2. We''re asked which of the following MUST be true. This essentially means "which of the following is ALWAYS true no matter how many different examples we can come up with?" These types of questions often require a bit more ''thoroughness'' than ...” April 22, 2019 Rich.C@EMPOWERgmat.com posted a reply to In the rectangular coordinate system above, if point R in the Problem Solving forum “Hi M7MBA, From the diagram, we know that the base of triangle ORP = 4. We also know that it''s area = 12, so we can combine those two pieces of information to find the height of the triangle (and by extension, the Y co-ordinate of point R). Area = (1/2)(base)(height) 12 = ...” April 22, 2019 Rich.C@EMPOWERgmat.com posted a reply to How divide my study time? Quant/Verbal in the GMAT Strategy forum “Hi Mike, This is a really fantastic overall performance (especially in the Verbal section), so if you took this CAT in a realistic fashion, then you''re clearly a really strong critical thinker overall - and you have the potential to score at a really high level on the Official GMAT. Before I can ...” April 22, 2019 Brent@GMATPrepNow posted a reply to A piece of twine of length t is cut into two pieces. in the Problem Solving forum “A piece of twine of length t is cut into two pieces. Let x = the length of the LONGER piece in yards So, t - x = the length of the SHORTER piece in yards The length of the longer piece is 2 yards greater than 3 times the length of the shorter piece. In other words: (longer piece) = ...” April 22, 2019 Brent@GMATPrepNow posted a reply to √(16∗20+8∗32)= in the Problem Solving forum “One option here is to evaluate (16)(20)+(8)(32), and then find the square root of the result. That''s a bit of work. We can also apply a technique called "Multiplying by Doubling and Halving" (here''s the video: I factored out the 16 = √sqrt(xy) = (√x)(√y)] √[(16)(36)] = ...” April 22, 2019 Max@Math Revolution posted a new topic called What is the smallest positive multiple of 15 that has only 0 in the Problem Solving forum “[GMAT math practice question] What is the smallest positive multiple of 15 that has only 0 and 1 as digits? A. 15 B. 30 C. 110 D. 1110 E. 111000” April 22, 2019 Max@Math Revolution posted a new topic called y ≠ 0. What is the value of x/y? in the Data Sufficiency forum “[GMAT math practice question] y ≠ 0. What is the value of x/y? 1) x^2-6xy+9y^2=0 2) |x-3|+|y-1|=0” April 22, 2019 Max@Math Revolution posted a reply to The areas of three faces of a rectangular solid are 12, 15 a in the Problem Solving forum “=> https://i.postimg.cc/0Kj1P95Z/4-19.png The volume of the above rectangular solid is xyz and the areas of three of its faces are xy, yz, zx. We may assume xy = 12, yz = 15 and zx = 20 without loss of generality. Therefore, (xy)(yz)(zx) = (xyz)^2 = 12*15*20 = 3600 = 60^2 Thus, the ...” April 22, 2019 Max@Math Revolution posted a reply to x^3-y^3 = 9 and x-y = 3. What is the value of xy? in the Problem Solving forum “=> x^3-y^3 = (x-y)(x^2+xy+y^2) = 3(x^2+xy+y^2) = 9 Therefore, x^2+xy+y^2 = 3. Now, x^2+xy+y^2 = (x-y)^2 + 3xy = 3^2 + 3xy = 9 + 3xy = 3. So, 3xy = -6 and xy = -2. Therefore, the answer is A. Answer: A” April 22, 2019 Max@Math Revolution posted a reply to If a, b, and c are integers, is a+b+c an even integer? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” April 22, 2019 Max@Math Revolution posted a reply to The parabola y = f(x) = a(x-h)^2+k lies in the x-y plane. 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. The first ...” April 22, 2019 Brent@GMATPrepNow posted a reply to Sequence $$X$$ consists of $$825$$ terms, and each term in the Data Sufficiency forum “Target question: What is the value of term 500? Given: Each term after the first term is 5 more than the preceding term. Statement 1: Term 515 of sequence X is -98. Since each term is 5 more than the preceding term, we know that term 514 = -103 term 513 = -108 term 512 = -113 term ...” April 21, 2019 Brent@GMATPrepNow posted a reply to From a group of 5 managers (Joon, Kendra, Lee, Marnie and in the Problem Solving forum “Our goal is to find P(M and N both selected) Method #1: P(M and N both selected) = P(one of them is selected 1st AND the other selected 2nd) = P(one of them is selected 1st) x P(the other selected 2nd) = (2/5)(1/4) = 1/10 = 0.1 Aside: P(one of them is selected 1st) = 2/5 because I''m ...” April 21, 2019 Brent@GMATPrepNow posted a reply to What is the perimeter of quadrilateral Q? in the Data Sufficiency forum “Target question: What is the perimeter of quadrilateral Q? If we recognize that each statement alone is not sufficient, we can jump straight to...... Statements 1 and 2 combined There are several quadrilaterals satisfy BOTH statements. Here are two: Case a: Q is a rectangle with width 1 ...” April 20, 2019 Brent@GMATPrepNow posted a reply to Mary's income is 60 percent more than Tim's income, and in the Problem Solving forum “I suggest that we choose some nice values that meet the given conditions. Tim''s income is 40 percent less than Juan''s income. Let Juan''s income =$100 40% of $100 =$40 This means Tim''s income = $100 -$40 = $60 Mary''s income is 60 percent more than Tim''s income 60% of$60 = $36 So ...” April 20, 2019 Brent@GMATPrepNow posted a reply to For integers x and y, when x is divided by y, the remainder in the Problem Solving forum “Since, the question asks "Which of the following must be true?", we can eliminate any answer choice that is not necessarily true. So let''s test some values that satisfy the given conditions For integers x and y, when x is divided by y, the remainder is odd. One possible case is that ...” April 20, 2019 Brent@GMATPrepNow posted a reply to A certain library assesses fines for overdue books as follow in the Problem Solving forum “1st day -$0.10 2nd day - $0.20 or$0.40 (double or add $0.30)$0.20 is the lesser amount 3rd day - $0.40 or$0.50 (double or add $0.30)$0.40 is the lesser amount 4th day - $0.80 or$0.70 (double or add $0.30)$0.70 is the lesser amount The correct answer is B Cheers, Brent”
April 20, 2019
Brent@GMATPrepNow posted a reply to For the 5 days shown in the graph, how many kilowatt-hours in the Problem Solving forum
“List the numbers in ASCENDING ORDER to get: 19, 24, 27, 29, 31. So 27 is the median. Average = (19 + 24 + 27 + 29 + 31)/5 = 130/5 = 26. The median (27) is 1 greater than the average (26). Answer: A Cheers, Brent”
April 20, 2019
Brent@GMATPrepNow posted a reply to What are the coordinates of point B in the figure above? in the Data Sufficiency forum
“IMPORTANT: For geometry Data Sufficiency questions, we are typically checking to see whether the statements "lock" a particular angle, length, or shape into having just one possible measurement. This concept is discussed in much greater detail in the video below. Target question: What ...”
April 19, 2019
Brent@GMATPrepNow posted a reply to If (x # y) represents the remainder that results when the in the Problem Solving forum
“If y > 16, (16 # y) = 16, so we need only check the values from 1 to 15 Also, we need not check the FACTORS of 16, since they will all yield a remainder of 0 We''re left with: (16 # 3) = 1 KEEP! (16 # 5) = 1 KEEP (16 # 7) = 2 (16 # 9) = 7 (16 # 10) = 6 (16 # 11) = 5 (16 # 12) = 4 (16 # ...”
April 19, 2019
Brent@GMATPrepNow posted a reply to If x and y are positive integers, is x^2*y^2 even ? in the Data Sufficiency forum
“Target question: Is x²y² even ? Statement 1: x + 5 is a prime number So, x+5 is a prime number greater than 5, which means x+5 must be ODD (since 2 is only even prime) If x+5 is ODD, then x must be EVEN If x is EVEN, then x²y² must be even The answer to the target question is YES, ...”
April 19, 2019
Brent@GMATPrepNow posted a reply to The areas of three faces of a rectangular solid are 12, 15 a in the Problem Solving forum
“Let x = the width Let y = the length Let z = the height So, the volume = xyz Area of one face = 12 We can write: xy = 12 Area of one face = 15 We can write: xz = 15 Area of one face = 20 We can write: yz = 20 Combine to get: (xy)(xz)(yz) = (12)(15)(20) Simplify: x²y²z² = 3600 ...”
April 19, 2019
Max@Math Revolution posted a new topic called The areas of three faces of a rectangular solid are 12, 15 a in the Problem Solving forum
“[GMAT math practice question] The areas of three faces of a rectangular solid are 12, 15 and 20. What is the volume of the rectangular solid? A. 30 B. 60 C. 180 D. 900 E. 3600”
April 19, 2019
Max@Math Revolution posted a reply to A train traveling at 60 km per hour reaches a tunnel that is in the Problem Solving forum
“=> https://i.postimg.cc/ZvHKGybG/4-19a.png Recall that 60 km / hr = 60000 m / 60 min = 1000 m/min =2000m/2min. So the train travels 2000 m in two minutes. Let x be the length of the train. Then 2000=9x + x = 10x, and x=200. Therefore, the answer is B. Answer: B”
April 19, 2019
Max@Math Revolution posted a new topic called If a, b, and c are integers, is a+b+c an even integer? in the Data Sufficiency forum
“[GMAT math practice question] If a, b, and c are integers, is a+b+c an even integer? 1) a^2+b^2 is an even integer 2) b^2+c^2 is an even integer”
April 19, 2019
Max@Math Revolution posted a reply to What is the area of triangle ABC? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since a ...”
April 19, 2019
Brent@GMATPrepNow posted a reply to OG 2019 related questions for daily emails in the The 60-Day GMAT Study Guide forum
“The OGs vary by very little with each edition. So, you can just use an earlier edition (see https://www.beatthegmat.com/official-guide-question-library-t296759.html) Cheers, Brent”
April 18, 2019
Brent@GMATPrepNow posted a reply to OG 2019 related questions for daily emails in the The 60-Day GMAT Study Guide forum
“Sorry, but there are no plans to update BTG''s 60-Day Study Guide to include OG2019 questions.”
April 18, 2019
Brent@GMATPrepNow posted a reply to If f(2x - 1) = 4x² - 4x - 8, then f(5) = in the Problem Solving forum
“Here''s one more approach: First notice that 4x² - 4x - 8 looks a lot like (2x - 1)² (2x - 1)² = (2x - 1)(2x - 1) = 4x² - 4x + 1 Now take: f(2x - 1) = 4x² - 4x - 8 Rewrite as: f(2x - 1) = 4x² - 4x + 1 - 9 = (2x - 1)² - 9 In other words, f(something) =something² - 9 In general, ...”
April 18, 2019
Brent@GMATPrepNow posted a reply to y = 248 - 398x. Which of the following values of x gives in the Problem Solving forum
“We can also test the answer choices.... (A) x = 200 means y = 248 - 398(200) = some number LESS THAN 248 (B) x = 100 means y = 248 - 398(100) = some number LESS THAN 248 (C) x = 0.5 means y = 248 - 398(0.5) = some number LESS THAN 248 (D) x = 0 means y = 248 - 398(0) = some number EQUAL TO ...”
April 18, 2019
Brent@GMATPrepNow posted a reply to If sequence S has 120 terms, what is the 105th term of S? in the Data Sufficiency forum
“Target question: What is the 105th term of S? Given: Sequence S has 120 terms Statement 1: The first term of S is −8. We have no information about the nature of the sequence. So, knowing the value of term 1 won''t help is determine the value of term 105 Since we cannot answer the ...”
April 18, 2019
Max@Math Revolution posted a new topic called x^3-y^3 = 9 and x-y = 3. What is the value of xy? in the Problem Solving forum
“[GMAT math practice question] x^3-y^3 = 9 and x-y = 3. What is the value of xy? A. -2 B. -1 C. 0 D. 1 E. 2”
April 18, 2019
Max@Math Revolution posted a reply to Given that 1^2 + 2^2 + 3^2 + … + n^2 = n(n+1)(2n+1)/6, wha in the Problem Solving forum
“=> 11^2(1-1/11)(1+1/11) + 12^2(1-1/12)(1+1/12) + 13^2(1-1/13)(1+1/13) + … + 20^2(1-1/20)(1+1/20) = 11^2(1-1/11^2) + 12^2(1-1/12^2) + 13^2(1-1/13^2) + … + 20^2(1-1/20^2) = (11^2-1) + (12^2-1) + (13^2-1) + … + (20^2-1) = (11^2 + 12^2 + 13^2 + … + 20^2) - 10 = (1^2 + 2^2 + 3^2 + … + ...”
April 18, 2019
Max@Math Revolution posted a new topic called The parabola y = f(x) = a(x-h)^2+k lies in the x-y plane. W in the Data Sufficiency forum
“[GMAT math practice question] The parabola y = f(x) = a(x-h)^2+k lies in the x-y plane. What is the value of k? 1) y = f(x) passes through (1,0) and (3,0). 2) y = f(x) passes through (2,1) and no y-value is greater than 1.”
April 18, 2019
Max@Math Revolution posted a reply to m * n = 2145, where m and n are positive integers. What is t in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
April 18, 2019
Brent@GMATPrepNow posted a reply to Does x + c = y + c ? in the Data Sufficiency forum
“Target question: Does x + c = y + c ? This is a good candidate for rephrasing the target question. Take the equation x + c = y + c, and subtract c from both sides to get: x = y REPHRASED target question: Does x = y ? Aside: Here’s a video with tips on rephrasing the target question: ...”
April 17, 2019
Brent@GMATPrepNow posted a reply to If n is a prime number greater than 3, what is the remainder in the Problem Solving forum
“Choose ANY prime number greater than 3, and test it. If n = 5, then n² = 5² = 25 When 25 is divided by 12, the quotient is 2 and the remainder is 1 Answer: B Cheers, Brent”
April 17, 2019
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 There are several values of x that satisfy statement 1. Here are two: Case a: x = 1. Notice that 2x + 1 = 2(1) + 1 = 3, which is odd. In this case, the answer to the target question is YES, x IS odd Case b: x = 2. Notice that 2x ...”
April 17, 2019
Marty Murray posted a reply to Rocked The GMAT - Scored 800 (Q51 V51) - Via Meditation in the I just Beat The GMAT! forum
“Here an example of how an unconscious inner conflict was affecting someone''s test performance. I was working with someone preparing for the GMAT and, while his skills were fairly strong in general, he was making crazy "careless errors." In fact, given the choices that he was choosing, ...”
April 17, 2019
Max@Math Revolution posted a new topic called A train traveling at 60 km per hour reaches a tunnel that is in the Problem Solving forum
“[GMAT math practice question] A train traveling at 60 km per hour reaches a tunnel that is 9 times as long as the train. If the train takes 2 minutes to completely clear the tunnel, then how long is the train in meters? A. 100 B. 200 C. 300 D. 400 E. ...”
April 17, 2019
Max@Math Revolution posted a reply to What is the largest multiple of 24 that can be written using in the Problem Solving forum
“=> A number is a multiple of 24 precisely when it is a multiple of both 3 and 8. The sum of 0, 1, 2, … , 9, “0 + 1 + 2 + … + 9 = 45” is a multiple of 3. Thus, a number which uses each of the digits 0, 1, 2, … , 9 exactly once is a multiple of 3. In order for a number to be a ...”
April 17, 2019
Max@Math Revolution posted a new topic called What is the area of triangle ABC? in the Data Sufficiency forum
“[GMAT math practice question] What is the area of triangle ABC? 1) Triangle ABC has two sides of lengths 3 and 4 2) Triangle ABC is a right triangle”
April 17, 2019
Max@Math Revolution posted a reply to m and n are positive integers greater than 6. What is the va 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 ...”
April 17, 2019
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. ...”
April 17, 2019
Marty Murray posted a reply to A researcher claims that a tornado of a given size and in the GMAT Verbal & Essays forum
“The modifier "both proportionately and in absolute numbers" has to modify "more deaths." That modifier would not modify "to cause," in (B), as "to cause ... in absolute numbers" makes no sense. So, (B ) is out. That modifier might modify ...”
April 17, 2019
Marty Murray posted a reply to GMAT Official Practice Tes #6 in the GMAT Math forum
“You are correct. You can''t add or subtract like bases with different exponents. However, in this case, the question is asking which of the answers the value of $$\left(10^8-10^2\right)\div\left(10^7-10^3\right)$$ is CLOSEST to. So, we don''t need an exact answer. Notice, 10⁸ is much ...”
April 17, 2019
Marty Murray posted a reply to GMAT Prep Practice Test Quant #6 in the GMAT Math forum
“Question: Is x > 3? Information given: x is positive. Statement (1): (x - 1)² > 4 In order for the square of a number to be greater than 4, that number has to be greater than 2 or less than -2. So, in order for (x - 1)² > 4, it must be the case that (x - 1) > 2 or (x - 1) ...”
April 17, 2019
Brent@GMATPrepNow posted a reply to When 1,000 children were inoculated with a certain vaccine, in the Data Sufficiency forum
“Target question: How many of the children developed inflammation but not fever? One approach is to use the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions). ...”
April 16, 2019
Brent@GMATPrepNow posted a reply to Is xy > 0? in the Data Sufficiency forum
“Target question: Is xy > 0? Statement 1: x - y > -2 Let''s TEST some values. There are several values of x and y that satisfy statement 1. Here are two: Case a: x = 5 and y = 1. In this case, xy = (5)(1) = 5. So, the answer to the target question is YES, xy IS greater than 0 Case b: ...”
April 16, 2019
Brent@GMATPrepNow posted a reply to If x and y are positive integers and x = 10y + 5, what is in the Problem Solving forum
“GIVEN: x = 10y + 5 Factor out 5 to get: x = 5(2y + 1) We can see that x is a multiple of 5, which also means x is divisible by 5, which means the remainder will by ZERO when x is divided by 5 Answer: A Cheers, Brent”
April 16, 2019
Brent@GMATPrepNow posted a reply to Last Problem in OG12 Diagnostic in the Problem Solving forum
“As with all VIACs (Variables In the Answer Choices questions), we can solve this via the INPUT-OUTPUT approach (as Mitch has done) or via an ALGEBRAIC approach. Typically, when the answer choices look complex (as they do here), I find the INPUT-OUTPUT approach easier. However, the algebraic ...”
April 16, 2019
Max@Math Revolution posted a new topic called Given that 1^2 + 2^2 + 3^2 + … + n^2 = n(n+1)(2n+1)/6, what in the Problem Solving forum
“[GMAT math practice question] Given that 1^2 + 2^2 + 3^2 + … + n^2 = n(n+1)(2n+1)/6, what is the value of 11^2(1-1/11)(1+1/11) + 12^2(1-1/12)(1+1/12) + 13^2(1-1/13)(1+1/13) + … + 20^2(1-1/20)(1+1/20)? A. 1080 B. 2405 C. 2475 D. 2880 E. 3600”
April 16, 2019
Max@Math Revolution posted a new topic called m * n = 2145, where m and n are positive integers. What is t in the Data Sufficiency forum
“[GMAT math practice question] m * n = 2145, where m and n are positive integers. What is the value of m + n? 1) m and n are two-digit integers. 2) m and n both have remainder 3 when they are divided by 4”
April 16, 2019
Brent@GMATPrepNow posted a reply to Which of the following is equivalent to in the Problem Solving forum
“Here''s another approach.... Take: $$\frac{x+y}{3}-\frac{x-y}{4}$$ Find common denominator: $$\frac{4(x+y)}{12}-\frac{3(x-y)}{12}$$ Expand numerators: $$\frac{4x+4y}{12}-\frac{3x-3y)}{12}$$ Combine fractions: $$\frac{(4x+4y)-(3x-3y)}{12}$$ Simplify numerator: $$\frac{x+7y}{12}$$ ...”
April 15, 2019
Brent@GMATPrepNow posted a reply to A man spends $48 to buy 6 hamburgers and 8 colas for his in the Problem Solving forum “Let H = price of one hamburger Let C = price of one cola A man spends$48 to buy 6 hamburgers and 8 colas for his office workers. 6H + 8C = 48 The next day, he buys 5 hamburgers and 4 colas and spends $32. 5H + 4C = 32 Assuming the prices of hamburgers and colas remain constant, what ...” April 15, 2019 Brent@GMATPrepNow posted a reply to Alice, Benjamin, and Carol each try independently to win a in the Problem Solving forum “P(exactly 2 win) = P(A wins and B wins and C loses OR B wins and C wins and A loses OR A wins and C wins and B loses) = P(A wins and B wins and C loses) + P(B wins and C wins and A loses) + P(A wins and C wins and B loses) Let''s calculate each probability P(A wins and B wins and C loses) = ...” April 15, 2019 Max@Math Revolution posted a new topic called What is the largest multiple of 24 that can be written using in the Problem Solving forum “[GMAT math practice question] What is the largest multiple of 24 that can be written using each of the digits 0, 1, 2, … , 9 exactly once? A. 9876543210 B. 9876543120 C. 987654102 D. 1234567890 E. 1234567980” April 15, 2019 Max@Math Revolution posted a new topic called m and n are positive integers greater than 6. What is the va in the Data Sufficiency forum “[GMAT math practice question] m and n are positive integers greater than 6. What is the value of m + n? 1) m*n = 504 2) m and n are multiples of 6” April 15, 2019 Max@Math Revolution posted a reply to If the sum of n consecutive positive integers is 42, which o in the Problem Solving forum “=> Recall that the sum of terms of an arithmetic sequence is {(a+l)/2}*n where a is the first term, l is the last term and n is the number of terms. We are told that {(a+l)/2}*n = 42 or n(a+l) = 84. Thus, n is a factor of 84. 7 is the unique factor of 84 among the choices. Therefore, ...” April 15, 2019 Max@Math Revolution posted a reply to {x} is a smallest integer greater than or equal to x and [x] in the Problem Solving forum “=> $$\left[\frac{2.5}{2.5}\right]-\left\{\frac{2.5}{\left[2.5\right]}\right\}$$ $$=\left[\frac{2.5}{3}\right]-\left\{\frac{2.5}{2}\right\}$$ $$=0-2$$ $$=-2$$ Therefore, the answer is A. Answer: A” April 15, 2019 Max@Math Revolution posted a reply to If p and q are prime numbers, what is the number of factors 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 ...” April 15, 2019 Max@Math Revolution posted a reply to What is the greatest common divisor of positive integers m a in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” April 15, 2019 Brent@GMATPrepNow posted a reply to If n is an integer, is (100−n)n an integer? in the Data Sufficiency forum “Target question: Is (100 - n)/n an integer? Statement 1: n > 4 Let''s TEST some values There are infinitely many values of n that satisfy statement 1. Here are two: Case a: n = 5. In this case, (100 - n)/n = (100 - 5)/5 = 95/5 = 19. So, the answer to the target question is YES, (100 - ...” April 14, 2019 Brent@GMATPrepNow posted a reply to f(x) = x^2 - x. For which of the following values of a is in the Problem Solving forum “GIVEN: f(x) = x² - x So, f(8) = 8² - 8 = 56 I. a = -7 So, f(-7) = (-7)² - (-7) = 56 This means f(a) ≥ f(8) Check the answer choices. . . ELIMINATE B and C II. a = -8 So, f(-8) = (-8)² - (-8) = 72 This means f(a) ≥ f(8) Check the answer choices. . . ELIMINATE A II. a = -9 ...” April 14, 2019 Brent@GMATPrepNow posted a reply to What is the largest value of integer n such that in the Problem Solving forum “98 = (2)(7)(7) = (2^1)(7^2) So, 98^98 = (2^1)(7^2)]^98 = (2^98)(7^196) What is the largest value of integer n such that 98^98 is divisible by 7^n? Since 98^98 = (2^98)(7^196), the largest value of n is 196 Answer: E Cheers, Brent” April 14, 2019 ceilidh.erickson posted a reply to If a subscription for 10 issues of a magazine costs$24.00 in the Problem Solving forum
“If 10 issues cost $24, that represents an individual cost of$2.40 each. If $2.40 is 20% less than the cover price x, then: $$2.40=\left(0.8\right)x$$ $$2.40=\left(\frac{4}{5}\right)x$$ $$2.40\left(\frac{5}{4}\right)=x$$ $$0.60\left(5\right)=x$$ $$3.00=x$$ The answer is E.” April 14, 2019 ceilidh.erickson posted a reply to From a group of 21 astronauts that includes 12 people with in the Problem Solving forum “To count the number of possible crews, we must calculate 2 things: 1. the number of ways to select 1 person with experience out of 12 2. the number of ways to select the remaining 2 people out of the remaining 9 Remember that when counting combinations in a diminishing pool in which order ...” April 14, 2019 ceilidh.erickson posted a reply to What is the value of xy? in the Data Sufficiency forum “For more on how the GMAT subverts our expectations of the 2 equations / 2 variables rule, see: https://www.manhattanprep.com/gmat/blog/high-school-algebra-wrong-gmat-breaks-systems-equations-rules/” April 14, 2019 ceilidh.erickson posted a reply to What is the value of xy? in the Data Sufficiency forum “Question: What is the value of xy? To answer this question, we need either values for x and y individually, or simply a value for the product xy. (1) y = x + 1 This gives us y in terms of x, but cannot give us the value of xy. Insufficient. (2) y = x^2 + 1 This gives us y in terms of ...” April 14, 2019 ceilidh.erickson posted a reply to If the positive integer $$n$$ is greater than $$6$$, what is in the Data Sufficiency forum “Remainder problems in DS often require TESTING CASES: If the positive integer n is greater than 6, what is the remainder when n is divided by 6? We don''t have much given information to unpack here, so let''s move on to the statements: 1) When n is divided by 9, the remainder is 2. ...” April 13, 2019 Brent@GMATPrepNow posted a reply to A certain series is defined by the following recursive rule: in the Problem Solving forum “I''m not crazy about this question. Typically, when we talk about series, Sn represents the SUM of the first n terms of that series. However, based on the official answer, Sn seems to represent the value of TERM n. Cheers, Brent” April 12, 2019 Max@Math Revolution posted a new topic called If the sum of n consecutive positive integers is 42, which o in the Problem Solving forum “[GMAT math practice question] If the sum of n consecutive positive integers is 42, which of these could be the value of n? A. 7 B. 8 C. 9 D. 10 E. 11” April 12, 2019 Max@Math Revolution posted a reply to If 0.00012345 is between 1/10^n and 1/10^{n-1}, what is the in the Problem Solving forum “=> 0.0001 < 0.00012345 < 0.001 10^{-4} < 0.00012345 < 10^{-3} 1/10^4 < 0.00012345 < 1/10^3 Comparing this with 1/10^n < 0.00012345 < 1/10^{n-1} yields n = 4. Therefore, the answer is C. Answer: C” April 12, 2019 Max@Math Revolution posted a new topic called If p and q are prime numbers, what is the number of factors in the Data Sufficiency forum “[GMAT math practice question] If p and q are prime numbers, what is the number of factors of 6pq? 1) p and q are different 2) p < 3 < q” April 12, 2019 Max@Math Revolution posted a reply to If m and n are positive integers, is m^2-n^2 divisible by 4? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” April 12, 2019 Rich.C@EMPOWERgmat.com posted a reply to A teacher wants to select a team of 5 players from a group in the Problem Solving forum “Hi VJesus12, We''re told that a teacher wants to select a team of 5 players from a group of 9 players. However, she needs to keep the following constraints in mind: If Jane is in the team, Sue should also be included in the team and vice versa. We''re asked for the number of different ways that ...” April 11, 2019 Rich.C@EMPOWERgmat.com posted a reply to The time it took car A to travel 400 miles was 2 hours less in the Problem Solving forum “Hi swerve, We''re told that the time it took car A to travel 400 miles was 2 hours LESS than the time it took car B to travel the same distance and car A''s average speed was 10 miles per hour GREATER than that of car B. We''re asked for car B''s average speed in miles per hour. This question ...” April 11, 2019 Rich.C@EMPOWERgmat.com posted a reply to A newly-opened retail store made$400 profit on the initial in the Problem Solving forum
“Hi All, We''re told that a newly-opened retail store made $400 profit on the initial expenditure of$25000, and then made $1200 profit on the next$80000 expenditure. We''re asked for the approximate percentage change in the ratio of profit to expenditure change from the first $25000 expenditure ...” April 11, 2019 Rich.C@EMPOWERgmat.com posted a reply to The architects of a certain type of building estimate in the Problem Solving forum “Hi All, We''re told that the architects of a certain type of building estimate construction costs to be$2.0 million per floor for each of the first 5 floors, $2.5 million per floor for each of the next 3 floors, and$3.5 million per floor for any additional floors. We''re asked what the ...”
April 11, 2019
Rich.C@EMPOWERgmat.com posted a reply to This year, x people won an Olympic medal for water in the Problem Solving forum
“Hi All, We''re told that X people won a medal for water competitions. Of those X people, 1/3 won a medal for swimming; of those who won a medal for SWIMMING, 1/4 also won a medal for diving. This question can be solved by TESTing VALUES (and taking a few notes). The common denominator between ...”
April 11, 2019
Rich.C@EMPOWERgmat.com posted a reply to GMAT Study group (Asia/US) in the The GMAT Avengers Study Group forum
“Hi shoc064, Forming a study group could be quite helpful, but you''ll still need a proper Study Plan to hit your Score Goal. From your post, it''s not clear whether you''re just beginning your studies or if you''ve put in some significant study time already, so if you''re interested in any advice ...”
April 11, 2019
Rich.C@EMPOWERgmat.com posted a reply to I made it! From 640 to 720. in the I just Beat The GMAT! forum
“Hi realcanario, That''s OUTSTANDING news! Your 690 was already a fantastic Score, but pushing that up to a 720 (with a Q50) is a noteworthy improvement! With this 720/Q50, you can comfortably apply to ANY Business Schools that interest you! You have plenty of time to work on your applications ...”
April 11, 2019
Brent@GMATPrepNow posted a reply to Mary and Kate are running clockwise around a circular track in the Problem Solving forum
“To get a better idea of what''s happening, let''s sketch the set-up: https://i.imgur.com/SwHzFJD.png Mary is faster than Kate, we can say that Kate has a 250 meter head start. In other words, when Mary closes that 250-meter gap, she will pass Kate for the FIRST time. ...”
April 11, 2019
Max@Math Revolution posted a new topic called {x} is a smallest integer greater than or equal to x and [x] in the Problem Solving forum
“[GMAT math practice question] {x} is a smallest integer greater than or equal to x and [x] is a greatest integer less than or equal to x. What is the value of $$\left[\frac{2.5}{\left\{2.5\right\}}\right]-\left\{\frac{2.5}{\left[2.5\right]}\right\}$$ A. -2 B. -1 C. 0 ...”
April 11, 2019
Max@Math Revolution posted a reply to How many rectangles are found in the lattice below? in the Problem Solving forum
“=> Each rectangle is uniquely determined by the intersections between two vertical lines and two horizontal lines. Since we have 6 vertical lines and 5 horizontal lines, the number of rectangles is 6C2*5C2 = 15*10 = 150. Therefore, D is the answer. Answer: D”
April 11, 2019
Max@Math Revolution posted a new topic called What is the greatest common divisor of positive integers m a in the Data Sufficiency forum
“[GMAT math practice question] What is the greatest common divisor of positive integers m and n? 1) m and n are consecutive 2) m^2 – n^2 = m + n”
April 11, 2019
Max@Math Revolution posted a reply to x, y and z are different integers. Is their average equal to 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 ...”
April 11, 2019
Marty Murray posted a reply to Is tutoring necessary for Verbal? in the GMAT Strategy forum
“Hi kyuhunl. Increasing your GMAT verbal score is going to take a fair amount of work, maybe even a LOT of work, whether you work with a tutor or work completely on your own. At the same time, a tutor could definitely help you to speed up the process, by guiding your preparation, showing you ...”
April 11, 2019
Brent@GMATPrepNow posted a reply to What is the sum of the cubes of the first ten positive? in the Problem Solving forum
“Let''s look for a pattern 1³ = 1 = 1² 1³ + 2³ = 9 = 3² 1³ + 2³ + 3³ = 36 = 6² 1³ + 2³ + 3³ + 4³ = 100 = 10² 1³ + 2³ + 3³ + 4³ + 5³ = 225 = 15² See the pattern yet? 1 + 2 = 3 3 + 3 = 6 6 + 4 = 10 10 + 5 = 15 First we add 2, then we add 3, then 4, then 5, etc ...”
April 11, 2019
Brent@GMATPrepNow posted a reply to If 0.00012345 is between 1/10^n and 1/10^{n-1}, what is the in the Problem Solving forum
“We need to examine powers of 10 that are smaller than AND greater than 0.00012345 We know that: 0.0001 < 0.00012345 < 0.001 Rewrite as FRACTIONS to get: 1/10,000 < 0.00012345 < 1/1,000 Rewrite as POWERS OF 10 to get: 1/10⁴ < 0.00012345 < 1/10³ We''re told that 0.00012345 ...”
April 10, 2019
Max@Math Revolution posted a new topic called If 0.00012345 is between 1/10^n and 1/10^{n-1}, what is the in the Problem Solving forum
“[GMAT math practice question] If 0.00012345 is between 1/10^n and 1/10^{n-1}, what is the value of n? A. 2 B. 3 C. 4 D. 5 E. 6”
April 10, 2019
Max@Math Revolution posted a reply to If f(x,y) = 10x/2x+3y+20y/3x+2y, where 0 < x < y, whic in the Problem Solving forum
“=> If x = 0, then f(0,y) = 20y / 2y = 10. If x = y, then f(y,y) = 10y / 5y + 20y / 5y = 2 + 4 = 6. Thus, if 0 < x < y, we have 6 < f(x,y) < 10. The only possible value of f(x,y) from among the choices is 8. Therefore, A is the answer. Answer: A ”
April 10, 2019
Max@Math Revolution posted a new topic called If m and n are positive integers, is m^2-n^2 divisible by 4? in the Data Sufficiency forum
“[GMAT math practice question] If m and n are positive integers, is m^2-n^2 divisible by 4? 1) m^2+n^2 has remainder 2 when it is divided by 4 2) m*n is an odd integer”
April 10, 2019
Max@Math Revolution posted a reply to If the median and average (arithmetic mean) of a set of 4 di 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 ...”
April 10, 2019
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. ...”
April 10, 2019
Brent@GMATPrepNow posted a reply to GMAT Prep Practice Test Quant Questions #4 in the GMAT Math forum
“ Given: wx = y Target question: What is the value of xy ? Statement 1: wx²= 16 We can rewrite this as: (wx)(x) = 16 Since wx = y, we can replace wx with y to get: (y)(x) = 16 So, the answer to the target question is xy = 16 Since we can answer the target question with certainty, ...”
April 9, 2019
Brent@GMATPrepNow posted a reply to A camera lens filter kit containing 5 filters sells for $in the Problem Solving forum “2 of them are priced at$10.45 each, 2 at $12.05 each, 1 at$17.50 TOTAL cost when purchased individually = (2 x $10.45) + (2 x$12.05) + (1 x $17.50) =$20.90 + $24.10 +$17.50 = $62.50 The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased ...” April 9, 2019 Brent@GMATPrepNow posted a reply to Machine A produces pencils at a constant rate of 9000 in the Problem Solving forum “To MINIMIZE machine B''s operating time, we must MAXIMIZE the time machine A''s operating time. So, let machine A operate for the full 8 hours. In 8 hours, machine A produces 72,000 pencils So, the number of pencils machine B must make = 100,000 - 72,000 = 28,000 Time = output/rate So, ...” April 9, 2019 Max@Math Revolution posted a new topic called How many rectangles are found in the lattice below? in the Problem Solving forum “https://i.postimg.cc/1gqW37Yn/4-9.png A. 90 B. 100 C. 120 D. 150 E. 180” April 9, 2019 Max@Math Revolution posted a new topic called x, y and z are different integers. Is their average equal to in the Data Sufficiency forum “[GMAT math practice question] x, y and z are different integers. Is their average equal to their median? 1) Their range is 11. 2) Their median is 11.” April 9, 2019 Brent@GMATPrepNow posted a reply to Any decimal that has only a finite number of nonzero digits in the Data Sufficiency forum “Target question: Is r/s a terminating decimal? Statement 1: 90 < r < 100 There are several pairs of values that meet this condition. Here are two: Case a: r = 91 and s = 2, in which case r/s = 91/2 = 45.5 = a terminating decimal Case b: r = 91 and s = 3, in which case r/s = 91/3 = ...” April 8, 2019 Brent@GMATPrepNow posted a reply to A sewing store buys fabric X by the bolt at the wholesale in the Data Sufficiency forum “Target question: What is the wholesale price of a bolt of fabric X? Given: Each bolt contains 50 meters of fabric X Statement 1: The store sells fabric X for$6.25 per meter. No information about the relationship between the WHOLESALE price and the RETAIL price Statement 1 is NOT ...”
April 8, 2019
Brent@GMATPrepNow posted a reply to There are 10 books on a shelf: 5 English books, 3 Spanish in the Problem Solving forum
“Let''s use the complement. That is, P(Event A happening) = 1 - P(Event A not happening) So, here we get: P( 2 different languages) = 1 - P(NOT 2 different languages) So, we can write: P(2 different languages) = 1 - P(the 2 languages are the SAME) P(the 2 languages are the SAME) P(the 2 ...”
April 8, 2019
Max@Math Revolution posted a new topic called If f(x,y) = 10x/2x+3y+20y/3x+2y, where 0 < x < y, which of in the Problem Solving forum
“[GMAT math practice question] If f(x,y) = 10x/2x+3y+20y/3x+2y, where 0 < x < y, which of the following could be the value of f(x,y)? A.8 B. 10 C. 12 D. 14 E. 16”
April 8, 2019
Max@Math Revolution posted a new topic called If the median and average (arithmetic mean) of a set of 4 di in the Data Sufficiency forum
“[GMAT math practice question] If the median and average (arithmetic mean) of a set of 4 different numbers are both 10, what is the smallest number? 1) The range of the 4 numbers is 10 2) The sum of the smallest and the largest numbers is 20”
April 8, 2019
Max@Math Revolution posted a reply to What is the simplified expression for 1/(√1+√2) + 1/(√ in the Problem Solving forum
“=> 1/(√1+√2) + 1/(√2+√3) + 1/(√3+√4) + ... + 1/(√99+√100) =1/(√2+√1) + 1/(√3+√2) + 1/(√4+√3) + ... + 1/(√100+√99) = (√2-√1)/{(√2+√1)(√2-√1)} + (√3-√2)/{(√3+√2)(√3-√2)} + (√4-√3)/{(√4+√3)(√4-√3)} + ... + ...”
April 8, 2019
Max@Math Revolution posted a reply to How many numbers between 1 and 1000, inclusive have an odd n in the Problem Solving forum
“=> Recall the property that an integer with an odd number of factors is the perfect square of an integer and only has even exponents in its prime factorization. If n = p^aq^br^c, then n has (a+1)(b+1)(c+1) factors, where p, q and r are different prime numbers, and a, b and c are positive ...”
April 8, 2019
Max@Math Revolution posted a reply to Is x < 0? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
April 8, 2019
Max@Math Revolution posted a reply to m and n are integers. Is m + n an odd number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
April 8, 2019
Brent@GMATPrepNow posted a reply to Any feedback on the Orion GMAT prep? in the Helpful Resources forum
“Sorry - I know almost nothing about that company. Cheers, Brent”
April 7, 2019
Brent@GMATPrepNow posted a reply to Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum
“Data Sufficiency lesson #6: - Rephrasing the Target Question Video : https://www.youtube.com/watch?v=MyG1K3ee69w Cheers, Brent”
April 7, 2019
Brent@GMATPrepNow posted a reply to In a certain game only one player can win and only one in the Data Sufficiency forum
“Target question: What is the probability that Katelyn wins at least one of the 3 games? This is a good candidate for rephrasing the target question. In order to determine P(Katelyn wins at least one of the 3 games), we need to know the probability that Katelyn wins if they play ONE game. We ...”
April 7, 2019
Brent@GMATPrepNow posted a reply to Question of the Week - 3 (The value of the variable E is...) in the Problem Solving forum
“A fast approach is to use some estimation. E = 1/2 + 1/4 + 1/6 + 1/8 + 1/10 + 1/12 + 1/14 + 1/16 + 1/18 + 1/20 ≈ 0.5 + 0.25 + 0.15 + 0.1 + 0.1 + 0.1 + 0.05 + 0.05 + 0.05 + 0.05 ≈1.4 Which of the following can be a possible value of the reciprocal of E? The reciprocal of E ...”
April 7, 2019
Brent@GMATPrepNow posted a reply to Is the positive integer x an even number? in the Data Sufficiency forum
“OA=E Target question: Is x an even number? Jump straight to..... Statements 1 and 2 combined There are infinitely many values of x that satisfy BOTH statements. Here are two: Case a: x = 32. In this case, the answer to the target question is YES, x IS an even number Case b: x = 17. ...”
April 6, 2019
Brent@GMATPrepNow posted a reply to During a trip that they took together, Carmen, Juan, Maria, 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”
April 6, 2019
Brent@GMATPrepNow posted a reply to If a certain animated cartoon consists of a total of 17,280 in the Data Sufficiency forum
“Target question: How many minutes will it take to run the cartoon? Given: cartoon consists of a total of 17,280 frames Statement 1: The cartoon runs without interruption at the rate of 24 frames per second. Time = (output)/(rate) So, time = (17,280 frames)/(24 frames per second) NOTE: ...”
April 6, 2019
Brent@GMATPrepNow posted a reply to While a family was away on vacation, they paid 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) = ...” April 6, 2019 Brent@GMATPrepNow posted a reply to Last year$48,000 of a certain store's profit was shared 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 + ...” April 6, 2019 Brent@GMATPrepNow posted a reply to Alice is twice as old as Brian and Cathy is 6 years in the Problem Solving forum “GIVEN: Alice is a years old Alice is twice as old as Brian This also means Brian is HALF as old as Alice So, Brian''s age = a/2 Cathy is 6 years younger than Brian So, Cathy''s age = (Brian''s age) - 6 So, Cathy''s age = (a/2) - 6 How old is Cathy in terms of a ? Cathy''s age = (a/2) - ...” April 6, 2019 Brent@GMATPrepNow posted a reply to For all numbers m and n... in the Problem Solving forum “GOAL: Find the value of 4?3 GIVEN: m?n = (2m - n)(m+ n) So, 4?3 = (2(4) - 3)(4+ 3) = (5)(7) = 35 Answer: A Cheers, Brent” April 6, 2019 Brent@GMATPrepNow posted a reply to If x and y are two points on the number line what is the in the Data Sufficiency forum “Target question: What is the value of x + y? Statement 1: 6 is halfway between x and y. KEY CONCEPT: The average (arithmetic mean) of 2 numbers is HALFWAY between those 2 numbers. For example, the average of 1 and 9 is 5. Notice that 5 is HALFWAY between 1 and 9. So, statement is ...” April 6, 2019 Brent@GMATPrepNow posted a reply to The residents of Town X participated in a survey to in the Problem Solving forum “---------ASIDE-------------------- A little extra background on standard deviations above and below the mean If, for example, a set has a standard deviation of 4, then: 1 standard deviation = 4 2 standard deviations = 8 3 standard deviations = 12 1.5 standard deviations = 6 0.25 ...” April 6, 2019 Brent@GMATPrepNow posted a reply to In the xy-coordinate system, line k has slope 1/2 and passes in the Problem Solving forum “Let''s first determine the equation of line k A quick approach is the write the equation of line k in slope y-intercept form: y = mx + b, where m = slope and b = y-intercept. We''re told that the slope = 0.5 and the point (0,5) tells us that the y-intercept is 5 So, the equation of line k is: ...” April 6, 2019 Brent@GMATPrepNow posted a reply to In a certain office, the ratio of men to women is 3/4. in the Problem Solving forum “Another approach: Let M = number of men CURRENTLY in the office Let W = number of women CURRENTLY in the office In a certain office, the ratio of men to women is CURRENTLY 3/4. We can write: M/W = 3/4 Cross multiply to get: 4M = 3W Rewrite as: 4M - 3W = 0 If 10 men were added to the ...” April 6, 2019 Brent@GMATPrepNow posted a reply to In a certain office, the ratio of men to women is 3/4. in the Problem Solving forum “In a certain office, the ratio of men to women is 3/4. This tells us that, out of EVERY 7 people in the office, 3 are men and 4 are women. It also tells us that the TOTAL number of men and women currently in the office is divisible by 7 When we check the answer choices, we see that A, B and E ...” April 6, 2019 Brent@GMATPrepNow posted a reply to In the diagram above, points A, B, C, D, and E represent the in the Problem Solving forum “points A, B, C, D, and E represent the five teams in a certain league in which each team must play each of the other teams exactly once. Let''s first determine the total number of games that will be played. There are 5 teams, so each team will play 4 games (since a team can''t play itself) So, ...” April 6, 2019 Brent@GMATPrepNow posted a reply to John and Mary were each paid x dollars in advance to do a in the Problem Solving forum “One approach: Salary Mary''s NET salary was x - y dollars (because Mary gave John y dollars) John''s NET salary was x + y dollars Hours worked Mary worked 8 hours John worked 10 hours In the end, John and Mary received the SAME hourly wage. So, John''s hourly wage = Mary''s ...” April 5, 2019 Brent@GMATPrepNow posted a reply to On a certain sightseeing tour, the ratio of the number in the Data Sufficiency forum “Let W = # of women Let M = # of men Let C = # of children Target question: What is the value of M? Given: The ratio of the number of women to the number of children was 5 to 2 In other words, W : C = 5 : 2 Statement 1: On the sight-seeing tour, the ratio of the number of children to ...” April 5, 2019 Brent@GMATPrepNow posted a reply to Five friends - Ross, Phoebe, Chandler, Joey, and Monica in the Problem Solving forum “Take the task of feeding the 5 friends and break it into stages. We’ll begin with the most restrictive stage(s). Stage 1: Select a pizza for Phoebe Since Phoebe will only eat Margherita pizza, there''s only 1 pizza we can serve her. So, we can complete stage 1 in 1 way Stage 2: ...” April 5, 2019 Brent@GMATPrepNow posted a reply to The y intercept of a line L is 4. If the slope of L is in the Problem Solving forum “Let''s draw a bunch of lines with a negative slope AND have a y-intercept of 4 (ie, passes through the point (0,4)) We get: http://i1168.photobucket.com/albums/r500/GMATPrepNow/x-int_zpsswbinqns.png As we can see, the x-intercept can have ANY POSITIVE value. So, the x-intercept COULD be 6, ...” April 5, 2019 Brent@GMATPrepNow posted a reply to In the rectangular solid above, if each dimession of the in the Data Sufficiency forum “Here''s a very similar (official) practice question: https://www.beatthegmat.com/volume-of-rectangular-solid-t273956.html Cheers, Brent” April 5, 2019 Brent@GMATPrepNow posted a reply to Is x < 0? in the Data Sufficiency forum “Target question: Is x < 0? Two important rules: ODD exponents preserve the sign of the base. So, (NEGATIVE)^(ODD integer) = NEGATIVE and (POSITIVE)^(ODD integer) = POSITIVE An EVEN exponent always yields a positive result (unless the base = 0) So, (NEGATIVE)^(EVEN integer) = ...” April 5, 2019 Brent@GMATPrepNow posted a reply to In the sequence S, each term after the first is twice the in the Problem Solving forum “term1 = 3 term2 = (3)(2) = (3)(2¹) term3 = (3)(2)(2) = (3)(2²) term4 = (3)(2)(2)(2) = (3)(2³) term5 = (3)(2)(2)(2)(2) = (3)(2⁴) . . term14 = (3)(2^13) term15 = (3)(2^14) term16 = (3)(2^15) What is the sum of the 14th, 15th, and 16th terms in sequence S? Sum = (3)(2^13) + ...” April 5, 2019 Max@Math Revolution posted a new topic called What is the simplified expression for 1/(√1+√2) + 1/(√2+√3) in the Problem Solving forum “[GMAT math practice question] What is the simplified expression for 1/(√1+√2) + 1/(√2+√3) + 1/(√3+√4) + ... + 1/(√99+√100)? A. 8 B. 9 C. 10 D. 11 E. 12” April 5, 2019 Max@Math Revolution posted a reply to x^3-y^3 = 90 and x-y = 3. What is the value of xy? in the Problem Solving forum “=> x^3-y^3 = (x-y)(x^2+xy+y^2) = 90 Since x – y = 3, x^2+xy+y^2 = 30 Now, 9 = (x-y)^2 = x^2 – 2xy + y^2 = x^2+xy+y^2 – 3xy = 30 – 3xy. So, 3xy = 21 and xy = 7. Therefore, the answer is E. Answer: E” April 5, 2019 Max@Math Revolution posted a new topic called Is x < 0? in the Data Sufficiency forum “[GMAT math practice question] Is x < 0? 1) x^3 + 1 < 0 2) x^3 + x + 1 < 0” April 5, 2019 Max@Math Revolution posted a reply to m and n are positive integers. Are m and n consecutive integ 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 ...” April 5, 2019 ceilidh.erickson posted a reply to GMAT Prep Practice Test Quant Questions #3 in the GMAT Math forum “Probability is always defined this way: probability = (# of desired outcomes)/(total possible # of outcomes) You correctly identified that there was only one pairing of terms that would give you a difference of squares: (x + y) and (x - y). However, you miscounted your total # of possible ...” April 4, 2019 ceilidh.erickson posted a reply to GMAT Prep Practice Test Quant Questions #2 in the GMAT Math forum “In DS, the GMAT often likes to mix up PROPORTIONS v. REAL NUMBERS. Generally speaking, a real number won''t help to answer a proportion question (unless you''re give more info). Here are more in a similar vein to try: ...” April 4, 2019 ceilidh.erickson posted a reply to GMAT Prep Practice Test Quant Questions #2 in the GMAT Math forum “We can TEST CASES to prove insufficiency in this problem. Warehouse W’s revenue from the sale of sofas was what percent greater this year than it was last year? Revenue from sales will equal (price of sofas)(quantity sold) --> R = (p)(q) To answer the question of the proportional ...” April 4, 2019 ceilidh.erickson posted a reply to GMAT Prep Practice Test Quant Questions in the GMAT Math forum “Since negative exponents indicate the reciprocal of base to the positive exponent, we can rewrite our exponents and bases: $$\left(\frac{1}{5}\right)^M=5^{-M}$$ $$\left(\frac{1}{4}\right)^{18}=4^{-18}=2^{-36}$$ ...” April 4, 2019 ceilidh.erickson posted a reply to The figure shows seven train stations and the distances, in in the Problem Solving forum “If the train traveled for 25 hrs at 50 mph, it traveled a total of 1250 miles: (Rate)(Time) = Distance. Let''s calculate the distance of each of the answer choices to town W. A. T --> V --> W = 600 + 750 = 1350 B. U --> V --> W = 500 + 750 = 1250 C. V --> W = 750 D. Y ...” April 4, 2019 ceilidh.erickson posted a reply to At a certain company, some of the employees have advanced in the Data Sufficiency forum “Overlapping Sets are a common question type on the GMAT, and the double-set matrix is often the easiest way to solve. For more on how to use the matrix, see: https://www.beatthegmat.com/of-the-800-sweaters-in-a-certain-store-150-are-red-how-t306943.html#828510 ...” April 4, 2019 ceilidh.erickson posted a reply to At a certain company, some of the employees have advanced in the Data Sufficiency forum “This is an OVERLAPPING SETS question. The easiest way to solve is by using a DOUBLE SET MATRIX: https://i.postimg.cc/1gW91b8Y/Screenshot-2019-04-04-13-42-19.png We can fill in what we know from the question stem: If 20 percent of all employees have one year or more of experience and no ...” April 4, 2019 ceilidh.erickson posted a reply to Ranked as one of the most important of Europe’s young in the Sentence Correction forum “Nota bene: there is a meaning difference between "more than any X" v. "more than any other X." For example: 1. Alaska is bigger than any US state. v. 2. Alaska is bigger than any other US state. The 2nd sentence is the correct one. "Any" implies that Alaska is ...” April 4, 2019 ceilidh.erickson posted a reply to Ranked as one of the most important of Europe’s young in the Sentence Correction forum “This question is testing COMPARISONS. We must make sure that we are comparing "apples to apples." Ranked as one of the most important of Europe’s young playwrights, Franz Xaver Kroetz has written forty plays; his works - translated into over thirty languages - are produced more often ...” April 4, 2019 Brent@GMATPrepNow posted a reply to If x, y, and d are integers and d is odd, are both x and y in the Data Sufficiency forum “ Given: x, y, and d are integers and d is odd Target question: Are both x and y divisible by d? Statement 1: x+y is divisible by d. Let''s TEST some values. There are several values of x, y and d that satisfy statement 1. Here are two: Case a: x = 6, y = 9 and d = 3. Notice that 6+9 = ...” April 4, 2019 Max@Math Revolution posted a new topic called How many numbers between 1 and 1000, inclusive have an odd n in the Problem Solving forum “[GMAT math practice question] How many numbers between 1 and 1000, inclusive have an odd number of factors? A. 10 B. 25 C. 31 D. 64 E. 128” April 4, 2019 Max@Math Revolution posted a reply to A right triangle has hypotenuse 10. If its perimeter is 25, in the Problem Solving forum “=> Let a and b be the legs of the right triangle. Since the hypotenuse is 10, a^2+b^2=100. Since the triangle’s perimeter is 25, we have a + b + 10 = 25 and a + b = 15. Recall that (a+b)^2 = a^2 + 2ab + b^2. 2ab = (a+b)^2 – (a^2+b^2) = 225 – 100 = 125. Thus, the area of the ...” April 4, 2019 Max@Math Revolution posted a new topic called m and n are integers. Is m + n an odd number? in the Data Sufficiency forum “[GMAT math practice question] m and n are integers. Is m + n an odd number? 1) m – n = 2 2) m^2n^2 = 225” April 4, 2019 Max@Math Revolution posted a reply to If |2x| > |3y|, is x > y? 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 ...” April 4, 2019 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. ...” April 4, 2019 Brent@GMATPrepNow posted a reply to m and n are positive integers. Are m and n consecutive integ in the Data Sufficiency forum “ Given: m and n are positive integers. Target question: Are m and n consecutive integers? Statement 1: m² + n² = 5 Since m and n are positive integers, there are only two possible solutions: Solution #1: m = 1 and n = 2 Solution #2: m = 2 and n = 1 In BOTH possible cases, the ...” April 3, 2019 Max@Math Revolution posted a new topic called x^3-y^3 = 90 and x-y = 3. What is the value of xy? in the Problem Solving forum “[GMAT math practice question] x^3-y^3 = 90 and x-y = 3. What is the value of xy? A. 3 B. 4 C. 5 D. 6 E. 7” April 3, 2019 Max@Math Revolution posted a new topic called x^3-y^3 = 90 and x-y = 3. What is the value of xy? in the Problem Solving forum “[GMAT math practice question] x^3-y^3 = 90 and x-y = 3. What is the value of xy? A. 3 B. 4 C. 5 D. 6 E. 7” April 3, 2019 Max@Math Revolution posted a reply to What is the number of roots of the equation (x^2-5x+5)^{(x^2 in the Problem Solving forum “=> When we have an equation of the form a^b = 1, we need to consider the following three cases: Case 1: a = 1 Case 2: a = -1 and b is an even number Case 3: b = 0. Case 1: x^2-5x+5 = 1 => x^2-5x+4 = 0 => (x-1)(x-4) = 0 => x = 1 or x = 4 Thus, 1 and 4 are roots of the ...” April 3, 2019 Max@Math Revolution posted a new topic called m and n are positive integers. Are m and n consecutive integ in the Data Sufficiency forum “[GMAT math practice question] m and n are positive integers. Are m and n consecutive integers? 1) m^2+n^2 = 5 2) m-n = 1” April 3, 2019 Max@Math Revolution posted a reply to Is x < y < z ? 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 ...” April 3, 2019 Max@Math Revolution posted a new topic called A right triangle has hypotenuse 10. If its perimeter is 25, in the Problem Solving forum “[GMAT math practice question] A right triangle has hypotenuse 10. If its perimeter is 25, what is its area? A. 125/4 B. 125/2 C. 125 D. 225/4 E. 225/2” April 2, 2019 Brent@GMATPrepNow posted a reply to If Norbert can cut up one plastic six pack container in 30 in the Problem Solving forum “We can solve this question by applying equivalent ratios For every 30 seconds that elapse, Norbert can cut up 1 plastic six-pack container In other words, for every 0.5 MINUTES that elapse, Norbert can cut up 1 plastic six-pack container Let t = the time (in MINUTES) to cut up 512 plastic ...” April 2, 2019 Max@Math Revolution posted a new topic called If |2x| > |3y|, is x > y? in the Data Sufficiency forum “[GMAT math practice question] If |2x| > |3y|, is x > y? 1) x > 0 2) y > 0” April 2, 2019 Brent@GMATPrepNow posted a reply to For what percent of those tested for a certain infection was in the Data Sufficiency forum “I just want to point out that Jay has done a perfect job employing a technique known as the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it. Here, we have a population of patients, and the ...” April 2, 2019 Brent@GMATPrepNow posted a reply to What is the number of cans that can be packed in a certain in the Data Sufficiency forum “Target question: What is the number of cans that can be packed in a certain carton? Let''s head straight to..... Statements 1 and 2 combined Consider these two conflicting cases (that satisfy BOTH statements): Case a: the dimensions of the box are numbers are 1 x 1 x 2304 (inches), in ...” April 1, 2019 Brent@GMATPrepNow posted a reply to 2+2+2^2+2^3+2^4+2^5+2^6+2^7+2^8=? in the Problem Solving forum “Let''s look for a pattern... We want: 2 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 = ? 2 + 2 + 2^2 = 4 + 4 = 8 = 2^3 So, 2 + 2 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 = 2^3 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 2^3 + 2^3 = 2(2^3) = 2^4 So, 2^3 + 2^3 + 2^4 + 2^5 + 2^6 + 2^7 + 2^8 = 2^4 + ...” April 1, 2019 Brent@GMATPrepNow posted a reply to If n is the smallest of three consecutive positive integers in the Problem Solving forum “There''s a nice rule says: The product of k consecutive integers is divisible by k, k-1, k-2,...,2, and 1 So, for example, the product of any 5 consecutive integers will be divisible by 5, 4, 3, 2 and 1 Likewise, the product of any 11 consecutive integers will be divisible by 11, 10, 9, . . . 3, ...” April 1, 2019 Brent@GMATPrepNow posted a reply to A collection of 36 cards consists of 4 sets of 9 cards in the Data Sufficiency forum “Target question: What is the number on the card? Given: A collection of 36 cards consists of 4 sets of 9 cards in each set are numbered 1 through 9. Statement 1: The units digit of the sum of the numbers on the remaining 35 cards is 6. 1+2+3+4+5+6+7+8+9=45 Since there are 4 sets of ...” April 1, 2019 Brent@GMATPrepNow posted a reply to If x = 1 – 2y, what is z? in the Data Sufficiency forum “Target question: What is the value of z? Given: x = 1 – 2y Statement 1: 5x + 10y + z = 5 Replace x with 1 – 2y to get: 5(1 – 2y) + 10y + z = 5 Expand: 5 - 10y + 10y + z = 5 Simplify: 5 + z = 5 Solve: z = 0 Since we can answer the target question with certainty, statement 1 is ...” April 1, 2019 Brent@GMATPrepNow posted a reply to Is x > 0? in the Data Sufficiency forum “Target question: Is x > 0? Statement 1: x² > 0 This statement doesn''t feel sufficient, so I''ll TEST some values. There are several values of x that satisfy statement 1. Here are two: Case a: x = 1. In this case, the answer to the target question is YES, it is the case that x > ...” April 1, 2019 Brent@GMATPrepNow posted a reply to If y is the smallest positive integer such that 3,150 in the Problem Solving forum “Key concept: The prime factorization of a perfect square (the square of an integer) will have an EVEN number of each prime. For example, 36 = (2)(2)(3)(3) And 400 = (2)(2)(2)(2)(5)(5) Likewise, 3150y must have an EVEN number of each prime in its prime factorization. So, 3150y = ...” April 1, 2019 Max@Math Revolution posted a new topic called What is the number of roots of the equation (x^2-5x+5)^{(x^2 in the Problem Solving forum “[GMAT math practice question] What is the number of roots of the equation (x^2-5x+5)^{(x^2-5x-6)}=1? A. 2 B. 3 C. 4 D. 5 E. 6” April 1, 2019 Max@Math Revolution posted a new topic called Is x < y < z ? in the Data Sufficiency forum “[GMAT math practice question] Is x < y < z ? 1) |x+1| < y < z+1 2) |x-1| < y < z-1” April 1, 2019 Max@Math Revolution posted a reply to What is the value of 1/3C2 + 1/4C2 + 1/5C2 + … + 1/100C2? in the Problem Solving forum “=> nCr = { n(n-1)…(n-r+1) } / { 1*2*… *r } So, nC2 = n(n-1)/2 and 1/nC2 = 2/{n(n-1)}. Recall that 1/{k(k+1)} = 1/k – 1/(k+1). So, 1/3C2 + 1/4C2 + 1/5C2 + … + 1/100C2 = 2/(2*3) + 2/(3*4) + 2/(4*5) + … + 2/(99*100) = 2{ 1/(2*3) + 1/(3*4) + 1/(4*5) + … + 1/(99*100) } = 2{ ( ...” April 1, 2019 Max@Math Revolution posted a reply to Which of the following is the solution set for the inequalit in the Problem Solving forum “=> By definition, if x ≥ 0, then |x| = x and if x < 0, |x| = -x. If x ≥ 0, then 0 < |x|-2x<3 is equivalent to 0 < x – 2x < 3 or 0 < -x < 3. So, -3 < x < 0, which does not satisfy the assumption x ≥ 0. If x < 0, then 0<|x|-2x<3 is equivalent to 0 ...” April 1, 2019 Max@Math Revolution posted a reply to The diagram below contains four right triangles with legs a in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” April 1, 2019 Max@Math Revolution posted a reply to What is the median of the three numbers a, b and 24? 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 ...” April 1, 2019 Rich.C@EMPOWERgmat.com posted a reply to Thabo owns exactly 140 books, and each book is either in the Problem Solving forum “Hi Joy Shaha, This question can be solved by TESTing THE ANSWERS. We''re given several facts to work with: 1) Total number of books = 140 and there are only 3 types of books. 2) Paperback Nonfiction = 20 + Hardcover Nonfiction 3) Paperback Fiction = 2(Paperback Nonfiction) We''re ...” March 31, 2019 Rich.C@EMPOWERgmat.com posted a reply to Quant Doubt in the GMAT Math forum “Hi dee1711s, To start, the GMAT is NOT going to test you on the concept of "negative factors", as an example - if you are asked for the factors of 6, then those factors are 1, 2, 3 and 6. If you''re told that A is a factor of B, then that means that A is a positive integer that ...” March 31, 2019 Rich.C@EMPOWERgmat.com posted a reply to [re-applicant] Should I retake the GMAT or switch to the GRE in the The GMAT Avengers Study Group forum “Hi deralexandre, First off, a 680/Q47 is a strong score, so it could be enough to get you into your first-choice School. As such, a retest might not be necessary. You''re ultimately asking a series of Admissions questions though, so you would likely find it beneficial to speak with an Admissions ...” March 31, 2019 Brent@GMATPrepNow posted a reply to If 3 less than twice a certain number is equal to 2 more in the Problem Solving forum “Let x be the number 3 less than twice a certain number is equal to 2 more than 3 times the number We can write: 2x - 3 = 3x + 2 So: -3 = x + 2 Solve: -5 = x 5 less than 5 times the number is 5 times the number = 5(-5) = -25 So, 5 less than 5 times the number = -25 - 5 = -30 Answer: A ...” March 31, 2019 Brent@GMATPrepNow posted a reply to Which of the following inequalities is an algebraic in the Problem Solving forum “When solving inequalities involving ABSOLUTE VALUE, there are 2 things you need to know: Rule #1: If |something| < k, then –k < something < k Rule #2: If |something| > k, then EITHER something > k OR something < -k Note: these rules assume that k is positive (A) |x| ≤ 3 ...” March 31, 2019 Brent@GMATPrepNow posted a reply to In how many ways a criket team consisting of 5 batsmen, 4 in the Problem Solving forum “Take the task of creating a cricket team and break it into stages. Stage 1: Select 5 batsmen Since the order in which we select the batsmen does not matter, we can use combinations. We can select 5 batsmen from 7 batsmen in 7C5 ways (21 ways) So, we can complete stage 1 in 21 ways ...” March 29, 2019 Brent@GMATPrepNow posted a reply to What percentage of his bills did Stanley pay before their in the Data Sufficiency forum “Target question: What percentage of his bills did Stanley pay before their due dates last month? This is a great candidate for rephrasing the target question. Aside: We have a free video with tips on rephrasing the target question: Let P = # of bills PAID before due date Let T = TOTAL # of ...” March 29, 2019 Brent@GMATPrepNow posted a reply to If $$n$$ is a positive integer and $$r$$ is the remainder in the Data Sufficiency forum “ Given: r is the remainder when (n² - 1) is divided by 8 Target question: What is the value of r? Statement 1: n is odd Let''s test some ODD values of n If n = 1, then n² - 1 = 1² - 1 = 0, and 0 divided by 8 leaves remainder 0. So, the answer to the target question is r = 0 If n = 3, ...” March 29, 2019 Brent@GMATPrepNow posted a reply to If √k is not an integer, then is k a prime number? in the Data Sufficiency forum “ Given: √k is not an integer Target question: Is k a prime number? Statement 1: k < 10 Let''s TEST some values. There are several values of k that satisfy statement 1. Here are two: Case a: k = 1.3 (√1.3 is not an integer). In this case, the answer to the target question is NO, ...” March 29, 2019 Brent@GMATPrepNow posted a reply to The ratio of boys to girls in Class A is 3 to 4. The ratio in the Problem Solving forum “The ratio of boys to girls in Class A is 3 to 4. Let B = number of boys in class A Let G = number of girls in class A We get: B/G = 3/4 Cross multiply to get: 4B = 3G Class A has one more boy and two more girls than class B So B - 1 = number of boys in class B So G - 2 = number of girls in ...” March 29, 2019 Max@Math Revolution posted a new topic called What is the value of 1/3C2 + 1/4C2 + 1/5C2 + … + 1/100C2? in the Problem Solving forum “3C2 + 1/4C2 + 1/5C2 + … + 1/100C2? A. 49/50 B. 51/50 C. 99/100 D. 101/100 E. 49/100” March 29, 2019 Max@Math Revolution posted a reply to If a positive integer t is not divisible by 5, how many poss in the Problem Solving forum “=> If t has remainder 1 when it is divided by 5, t^4=~1^4 has remainder 1 when it is divided by 5. If t has a remainder 2 when it is divided by 5, t^4=~2^4=~16 has remainder 1 when it is divided by 5. If t has remainder 3 when it is divided by 5, t^4=~3^4=~81 has remainder 1 when it is ...” March 29, 2019 Max@Math Revolution posted a new topic called The diagram below contains four right triangles with legs a in the Data Sufficiency forum “https://i.postimg.cc/sBn8M8gM/3-29.png 1) a = 12 2) b = 9” March 29, 2019 Max@Math Revolution posted a reply to Is the four-digit positive integer a,bc6 divisible by 4? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” March 29, 2019 Marty Murray posted a reply to Help me Beat the GMAT in the I just Beat The GMAT! forum “Hi melisaaslan. Many people score lower on the verbal section of the real test than they had on practice tests, and, much of the time, the reason for the difference is that they didn''t really learn how to use sophisticated thinking in answering verbal questions. Rather they picked up on some ...” March 28, 2019 Marty Murray posted a reply to GMAT Experience - Looking for advice in the I just Beat The GMAT! forum “Hi mikellaverde. Your other practice test scores and the way you have been preparing tend to indicate that the 710 practice test score was an outlier. The GMAT tends not to be very forgiving, and so, matching an outlier practice test score is not likely when you take the real test. At the ...” March 28, 2019 Max@Math Revolution posted a new topic called Which of the following is the solution set for the inequalit in the Problem Solving forum “[GMAT math practice question] Which of the following is the solution set for the inequality 0 < |x|-2x < 3? A. -1 < x < 0 B. 0 < x < 1 C. 1 < x < 2 D. 2 < x < 3 E. 3 < x < 4” March 28, 2019 Max@Math Revolution posted a reply to √r + 2/√r = 4. What is the value of r + 4/r? in the Problem Solving forum “=> (√r + 2/√r)^2 = r + 2(√r)(2/√r) + 4/r = r + 4/r + 4 = 4^2 = 16 So, r + 4/r = 16 -4 = 12. Therefore, A is the answer. Answer: A” March 28, 2019 Max@Math Revolution posted a new topic called What is the median of the three numbers a, b and 24? in the Data Sufficiency forum “[GMAT math practice question] What is the median of the three numbers a, b and 24? 1) a – 24 = 24 - b 2) (a-24)(b-24) < 0” March 28, 2019 Max@Math Revolution posted a reply to p, q, and r are different prime numbers. What is the value o 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 ...” March 28, 2019 Brent@GMATPrepNow posted a reply to Bite-sized video lessons from GMAT Prep Now in the GMAT Math forum “Data Sufficiency lesson #5: - Summarizing Information Video : https://www.youtube.com/watch?v=cK9PR3SLsSA Cheers, Brent” March 27, 2019 Rich.C@EMPOWERgmat.com posted a reply to The water from one outlet, flowing at a constant rate, can in the Problem Solving forum “Hi All, This question is a standard "Work Formula" question. When you have 2 entities sharing a task, you can use the following formula to figure out how long it takes for the 2 entities to complete the task together. Work = (A)(B)/(A+B) where A and B are the individual times ...” March 27, 2019 Rich.C@EMPOWERgmat.com posted a reply to Is tutoring necessary for Verbal? in the GMAT Strategy forum “Hi swara31, Yes, you should be able to find online tutoring without too much trouble, but it''s not clear whether you actually need that type of resource yet. 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 ...” March 27, 2019 Brent@GMATPrepNow posted a reply to The water from one outlet, flowing at a constant rate, can in the Problem Solving forum “So, let''s say that the volume of the pool is 45 gallons. The water from one outlet, flowing at a constant rate, can fill a swimming pool in 9 hours So, this outlet pumps at a rate of 5 gallons per hour The water from a second outlet, flowing at a constant rate, can fill the same pool in 5 ...” March 27, 2019 Brent@GMATPrepNow posted a reply to If a positive integer t is not divisible by 5, how many poss in the Problem Solving forum “Since t is NOT divisible by 5, we need only test t = 1, 2, 3 and 4 If t = 1, then t⁴ = 1, and 1 divided by 5 leaves remainder 1 If t = 2, then t⁴ = 16, and 16 divided by 5 leaves remainder 1 If t = 3, then t⁴ = 81, and 81 divided by 5 leaves remainder 1 If t = 4, then t⁴ = 256, and ...” March 27, 2019 Brent@GMATPrepNow posted a reply to At a certain school, the student to teacher ratio is 52 to 9 in the Problem Solving forum “There''s a nice integer properties rule that says: If j is a multiple of d, and k is NOT a multiple of d, then j-k (and j+k) is NOT a multiple of d For example, since 56 is a multiple of 7, and 11 is NOT a multiple of 7, then 56-11 is NOT a multiple of 7 At a certain school, the student to ...” March 27, 2019 Max@Math Revolution posted a new topic called If a positive integer t is not divisible by 5, how many poss in the Problem Solving forum “[GMAT math practice question] If a positive integer t is not divisible by 5, how many possible different remainders can t^4 have when it is divided by 5? A. one B. two C. three D. four E. five” March 27, 2019 Max@Math Revolution posted a reply to When f(x)=x^3+1/x3, which of the following is equal to f(-1/ in the Problem Solving forum “=> f(-1/x) = (-1/x)^3 + 1/{1/(-1/x)^3} = -1/x^3 – x^3 = -(x^3+1/x^3) = -f(x). Therefore, B is the answer. Answer: B” March 27, 2019 Max@Math Revolution posted a new topic called Is the four-digit positive integer a,bc6 divisible by 4? in the Data Sufficiency forum “[GMAT math practice question] Is the four-digit positive integer a,bc6 divisible by 4? 1) ac is an odd number 2) bc is an even number” March 27, 2019 Max@Math Revolution posted a reply to m, n and 2/m+3/n are positive integers. What is the value of 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 ...” March 27, 2019 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. ...” March 27, 2019 Rich.C@EMPOWERgmat.com posted a reply to For all positive integers m in the Problem Solving forum “Correctted! And yes - that typo was on purpose ;o.” March 26, 2019 Brent@GMATPrepNow posted a new topic called At a certain school, the student to teacher ratio is 52 to 9 in the Problem Solving forum “At a certain school, the student to teacher ratio is 52 to 9. If 38 students and 11 teachers leave, which of the following COULD represent the number of students and teachers remaining at the school? A) 532 students and 88 teachers B) 794 students and 162 teachers C) 1106 students and 225 ...” March 26, 2019 Max@Math Revolution posted a new topic called √r + 2/√r = 4. What is the value of r + 4/r? in the Problem Solving forum “[GMAT math practice question] √r + 2/√r = 4. What is the value of r + 4/r? A. 12 B. 14 C. 16 D. 32 E. 64” March 26, 2019 Max@Math Revolution posted a new topic called p, q, and r are different prime numbers. What is the value o in the Data Sufficiency forum “[GMAT math practice question] p, q, and r are different prime numbers. What is the value of q? 1) (pq)^2=36 2) (qr)^2= 225” March 26, 2019 Brent@GMATPrepNow posted a reply to For all positive integers m in the Problem Solving forum “Thanks Roach! Cheers, Brent - now with 50% less "t"!!” March 25, 2019 Rich.C@EMPOWERgmat.com posted a reply to For all positive integers m in the Problem Solving forum “Hi myspecialtie, Brent''s explanation is spot-on, so I won''t rehash any of that here. This prompt is an example of a "Symbolism" question - in which the prompt introduces a "made up" math symbol, explains how to use it and asks you to perform a calculation (and sometimes more ...” March 25, 2019 Rich.C@EMPOWERgmat.com posted a reply to Q39 V29: 560 - 2 months to go for GMAT, need 650+ in the GMAT Strategy forum “Hi amegupte0410, GMAC has publicly stated that the Official Score that you earn on Test Day is within +/- 30 points of actual ability. Assuming a similar ''swing'' in how your CATs function, your 3 CAT score results show that you essentially performed the same each time (about 550 +/- a few ...” March 25, 2019 Brent@GMATPrepNow posted a reply to When f(x)=x^3+1/x3, which of the following is equal to f(-1/ in the Problem Solving forum “GIVEN: f(x)=x³ + 1/x³ So, f(-1/x) = (-1/x)³ + 1/(-1/x)³ = -1/x³ + 1/(-1/x³) = -1/x³ - x³ = -(1/x³ + x³) = -(x³ + 1/x³) = -f(x) Answer: B Cheers, Brent” March 25, 2019 Brent@GMATPrepNow posted a reply to Last year a certain bond with a face value of$5,000 yielded in the Problem Solving forum
“Last year a certain bond with a face value of $5,000 yielded 8 percent of its face value in interest 8% of$5,000 = $400 So, interest =$400 If that interest was approximately 6.5 percent of the bond''s selling price,approximately what was the bond''s selling price? Let x = the bond''s ...”
March 25, 2019
Max@Math Revolution posted a new topic called When f(x)=x^3+1/x3, which of the following is equal to f(-1/ in the Problem Solving forum
“[GMAT math practice question] When f(x)=x^3+1/x3, which of the following is equal to f(-1/x)? A. f(x) B. -f(x) C. 1/f(x) D. 1-f(x) E. (f(x))^3”
March 25, 2019
Max@Math Revolution posted a new topic called m, n and 2/m+3/n are positive integers. What is the value of in the Data Sufficiency forum
“[GMAT math practice question] m, n and 2/m+3/n are positive integers. What is the value of mn? 1) m and n are prime numbers 2) The greatest common divisor of m and n is 1”
March 25, 2019
Max@Math Revolution posted a reply to Express 2^20-2^19-2^18-2^17 as a power of 2. in the Problem Solving forum
“=> 2^20-2^19-2^18-2^17 =2^32^17- 2^22^17-2^12^17-2^17 = 2^17 (8-4-2-1) = 2^17(1) = 2^17 Therefore, the answer is C. Answer: C ”
March 25, 2019
Max@Math Revolution posted a reply to What is the smallest positive integer n such that n / 420 ca in the Problem Solving forum
“=> n / 420 = n / {2^2*3^1*5^1*7^1} The fraction will only be a terminating decimal if both 3 and 7 can be canceled out. Thus, the smallest possible value of n is 3*7 = 21. Therefore, the answer is B. Answer: B”
March 25, 2019
Max@Math Revolution posted a reply to If m and n are prime numbers, what is the value of 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. The first ...”
March 25, 2019
Max@Math Revolution posted a reply to If m and n are positive integers, is m+n divisible by 15? 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 ...”
March 25, 2019
Brent@GMATPrepNow posted a reply to Is it true that x > 0? in the Data Sufficiency forum
“Target question: Is it true that x > 0? Statement 1: x² = 2x Rewrite as: x² - 2x = 0 Factor: x(x - 2) = 0 So, EITHER x = 0 OR x = 2 Let''s examine each possible case Case a: If x = 0, then the answer to the target question is NO, it is not true that x > 0 Case b: If x = 2, then ...”
March 24, 2019
Rich.C@EMPOWERgmat.com posted a reply to In a certain bathtub, both the hot and cold water fixtures in the Problem Solving forum
“Hi All, We''re told that In a certain bathtub, both the hot and cold water fixtures leak. The cold water leak alone would fill an empty bucket in C hours, and the hot water leak alone will fill the same bucket in H hours, where C < H. If both fixtures began to leak at the same time into the ...”
March 23, 2019
Brent@GMATPrepNow posted a reply to Problem with a practice question in the GMAT Math forum
“Here''s my full solution: https://www.beatthegmat.com/for-all-positive-integers-m-t299496.html Cheers, Brent”
March 23, 2019
ceilidh.erickson posted a reply to If a car traveled from Townsend to Smallville at an average in the Data Sufficiency forum
“Average speed is a WEIGHTED average: (total distance)/(total time). Since we''re given that this is a round trip, the distance of each leg of the trip will be the same. Since we know the average speed for one leg of the trip, all we need to know to calculate the overall average speed is the ...”
March 22, 2019
ceilidh.erickson posted a reply to Of the 800 sweaters in a certain store, 150 are red. How in the Data Sufficiency forum
“Overlapping Sets are a common question type on the GMAT, and the double-set matrix is often the easiest way to solve. For more on how to use the matrix, see: https://www.beatthegmat.com/at-a-charity-fundraiser-180-of-the-guests-had-a-house-both-t307024.html#828495 ...”
March 22, 2019
Rich.C@EMPOWERgmat.com posted a reply to If $$xy \neq 0$$, and 75 percent of $$x$$ equals 125 percent in the Problem Solving forum
“Hi All, We''re told that neither X nor Y can equal 0 and that 75% of X is equal to 125% of Y. We''re asked which of the following is true. This question can be solved in a couple of different ways, including by TESTing VALUES. IF.... X = 100, then (75% of X) = 75 75 = 125% of Y 75 = ...”
March 22, 2019
Rich.C@EMPOWERgmat.com posted a reply to If $$xy \neq 0$$ and $$2x + 3y$$ is equal to 175 percent in the Problem Solving forum
“Hi All, We''re told that neither X nor Y can be 0 and that (2X + 3Y) is 175% of 8X. We''re asked for the value of X/Y. This question can be solved in a number of different ways, including by TESTing THE ANSWERS. Between Answers B and D, Answer D would be an easier Answer to TEST, so let''s try ...”
March 22, 2019
ceilidh.erickson posted a reply to Of the 800 sweaters in a certain store, 150 are red. How in the Data Sufficiency forum
“We can represent this problem as an OVERLAPPING SETS problem: red v. not red, wool v. not wool: https://i.postimg.cc/CBMcFwJt/Screenshot-2019-03-22-15-56-23.png Of the 800 sweaters in a certain store, 150 are red. How many of the red sweaters at the store are made of pure wool? We can also ...”
March 22, 2019
Rich.C@EMPOWERgmat.com posted a reply to Find the range of values of $$x$$ that satisfy the in the Problem Solving forum
“Hi All, We''re asked for the range of values of X that satisfy the inequality (X+1)(X-2) > 4. This question can be approached in a couple of different ways, including by TESTing VALUES. IF... X=10, then (11)(8) = 88 which is greater than 4. Thus, X=10 is a possible solution. Eliminate ...”
March 22, 2019
ceilidh.erickson posted a reply to Mauritius was a British colony for almost 200 years, in the Sentence Correction forum
“In this sentence, we have 2 independent clauses in the non-underlined portions: 1. "Mauritius was a British colony" 2. "the English language was never really spoken" In the original sentence, these clauses are joined only with a comma. This is what we call a comma splice or ...”
March 22, 2019
ceilidh.erickson posted a reply to Hunter: Many people blame hunters alone for the decline in in the Critical Reasoning forum
“The main thrust of this hunter''s argument is that black bears have also played an important role in the decline of the deer population. The evidence given for this argument: - the forest''s protected black bear population has risen sharply - examination of black bears found dead in the forest ...”
March 22, 2019
Brent@GMATPrepNow posted a reply to If $$xy \neq 0$$, and 75 percent of $$x$$ equals 125 percent in the Problem Solving forum
“GIVEN: 75 percent of x equals 125 percent of y Rewrite as: 3/4 of x = 5/4 of y Or we can say: (3/4)(x) = (5/4)( y) Multiply both sides by 4 to get: 3x = 5y Divide both sides by 5 to get: 3x/5 = y Rewrite as: y = (3/5)(x) Or y = 3/5 of x Or y = 60/100 of x Or y = 60% of x Answer: C ...”
March 22, 2019
Brent@GMATPrepNow posted a reply to If m and n are prime numbers, what is the value of m+n? in the Data Sufficiency forum
“ Given: m and n are prime numbers Target question: What is the value of m+n? Statement 1: 15 ≤ m < n ≤ 20 17 and 19 are the only PRIME numbers from 15 to 20 inclusive So, it must be the case that m = 17 and n = 19 So, the answer to the target question is m+n = 17 + 19 = 33 Since ...”
March 22, 2019
ceilidh.erickson posted a reply to Wind farms, which generate electricity using arrays of in the Critical Reasoning forum
“The logical flaw in this argument falls under the category of what I like to call MIXED METRICS: it seems like the premises and conclusion are talking about the same statistic, but in fact we''re looking at different mathematical or categorical ideas. Any time you see one statistic / metric / ...”
March 22, 2019
ceilidh.erickson posted a reply to Wind farms, which generate electricity using arrays of in the Critical Reasoning forum
“When WEAKENING an argument, you must first find the LOGICAL FLAW: the missing assumption that would be needed to connect premises to conclusion. Premises: - Wind farms require vast expanses of open land. - County X and County Y have similar terrain - the population density of County X is ...”
March 22, 2019
ceilidh.erickson posted a reply to At a charity fundraiser, 180 of the guests had a house both in the Data Sufficiency forum
“Overlapping Sets are a common question type on the GMAT, and the double-set matrix is often the easiest way to solve. For more on how to use the matrix, see: https://www.beatthegmat.com/among-the-members-of-the-malmo-family-there-are-three-times-t306786.html#827756 ...”
March 22, 2019
ceilidh.erickson posted a reply to At a charity fundraiser, 180 of the guests had a house both in the Data Sufficiency forum
“This is a classic OVERLAPPING SETS problem. It is usually best to set these up with a DOUBLE-SET MATRIX: https://i.postimg.cc/XpkxyS5g/Screenshot-2019-03-22-14-31-06.png From the question stem, we know that 180 guests have houses in both locations, and we''re looking for the ratio of the two ...”
March 22, 2019
Brent@GMATPrepNow posted a reply to If n is an integer, is n + 1 odd? in the Data Sufficiency forum
“Target question: Is n + 1 odd? Some important rules: #1. ODD +/- ODD = EVEN #2. ODD +/- EVEN = ODD #3. EVEN +/- EVEN = EVEN Statement 1: n + 2 is an even integer. In other words: n + EVEN = EVEN In other words: n = EVEN - EVEN By Rule #3, n must be even, which means n+1 is ODD The ...”
March 22, 2019
Brent@GMATPrepNow posted a reply to Express 2^20-2^19-2^18-2^17 as a power of 2. in the Problem Solving forum
“2^20 - 2^19 - 2^18 - 2^17 = 2^17(2^3 - 2^2 - 2^1 - 1) = 2^17(8 - 4 - 2 - 1) = 2^17(1) = 2^17 Answer: C Cheers, Brent”
March 22, 2019
Max@Math Revolution posted a new topic called Express 2^20-2^19-2^18-2^17 as a power of 2. in the Problem Solving forum
“[GMAT math practice question] Express 2^20-2^19-2^18-2^17 as a power of 2. A. 2^15 B. 2^16 C. 2^17 D. 2^18 E. 2^19”
March 22, 2019
Max@Math Revolution posted a reply to Jeonghee has 5 different red cards and 5 different blue card in the Problem Solving forum
“=> The total number of ways in which 5 cards can be chosen out of 10 cards is 10P5 = 10*9*8*7*6. There are 5*4*3*2*1 arrangements of each of BBBBB and RRRRR. There are 5*4*3*2*5 arrangements of each of BBBBR, RBBBB, RRRRB and BRRRR. There are 5*4*3*5*4 arrangements of each of BBBRR, ...”
March 22, 2019
Max@Math Revolution posted a new topic called If m and n are prime numbers, what is the value of m+n? in the Data Sufficiency forum
“[GMAT math practice question] If m and n are prime numbers, what is the value of m+n? 1) 15 ≤ m < n ≤ 20 2) mn = 323”
March 22, 2019
Max@Math Revolution posted a reply to Is n an odd number? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
March 22, 2019
Brent@GMATPrepNow posted a reply to What is the total cost to make 7 long distance telephone in the Data Sufficiency forum
“Target question: What is the total cost to make 7 long distance telephone calls? When we SCAN the statements, we see the key phrase: at least This allows us to jump straight to... Statements 1 and 2 combined There are infinitely many scenarios that satisfy BOTH statements. Here are two: ...”
March 21, 2019
Brent@GMATPrepNow posted a reply to Skier Lindsey Vonn completes a straight 300-meter downhill in the Problem Solving forum
“The ride up the mountain took 135 seconds longer than her run down the mountain Start with a word equation: (time going UP mountain) = (time going DOWN mountain) + 135 time = distance/speed We can now write: 300/(x - 8) = 300/(x + 10) + 135 Multiply both sides by (x - 8) to get: 300 = 300(x - ...”
March 21, 2019
Max@Math Revolution posted a new topic called What is the smallest positive integer n such that n / 420 ca in the Problem Solving forum
“[GMAT math practice question] What is the smallest positive integer n such that n / 420 can be expressed as a terminating decimal? A. 18 B. 21 C. 24 D. 30 E. 42”
March 21, 2019
Max@Math Revolution posted a reply to The number 1000 lies between two consecutive perfect squares in the Problem Solving forum
“=> 31^2 = 961 32^2 = 1024 1024 is the perfect square closest to 1000. Therefore, D is the answer. Answer: D”
March 21, 2019
Max@Math Revolution posted a new topic called If m and n are positive integers, is m+n divisible by 15? in the Data Sufficiency forum
“[GMAT math practice question] If m and n are positive integers, is m+n divisible by 15? 1) m is divisible by 9 and n is divisible by 15. 2) mn is divisible by 225.”
March 21, 2019
Max@Math Revolution posted a reply to xy=? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
March 21, 2019
Brent@GMATPrepNow posted a reply to x is the product of all even numbers from 2 to 50, inclusive in the Problem Solving forum
“x = (2)(4)(6)....(46)(48)(50) = (1)(2)(2)(2)(3)(2).....(23)(2)(24)(2)(25)(2) Notice that: x is divisible by 2. This tells us that x+1 is 1 greater than a multiple of 2. In other words, x+1 is NOT divisible by 2 x is divisible by 3. This tells us that x+1 is 1 greater than a multiple of 3. ...”
March 20, 2019
Rich.C@EMPOWERgmat.com posted a reply to x is the product of all even numbers from 2 to 50, inclusive in the Problem Solving forum
“Hi All, We''re told that X is the product of all even numbers from 2 to 50, inclusive. We''re asked to define what the smallest prime factor of (X+1) must be. This particular question is a variation on an Official question that periodically pops up in the forums. The main idea behind this prompt ...”
March 20, 2019
Brent@GMATPrepNow posted a reply to If there are 4 pairs of twins, and a committee will be in the Problem Solving forum
“Here''s one approach. Take the task of selecting the 3 committee members and break it into stages. Stage 1: Select the 3 twins from which we will select 1 spouse each. There are 4 sets of twins, and we must select 3 of them. Since the order in which we select the 3 twins does not matter, ...”
March 20, 2019
Brent@GMATPrepNow posted a reply to If arc PQR above is a semicircle, what is the length of diam in the Data Sufficiency forum
“http://s16.postimg.cc/p2mwbwdpt/triangle_PQR.jpg We can answer this question without performing any calculations. Instead, we can use some visualization. Important point: For geometry DS questions, we are typically checking to see whether the statements "lock" a particular angle or ...”
March 20, 2019