Rich.C@EMPOWERgmat.com posted a reply to In a sample of associates at a law firm, 30 percent are in the Problem Solving forum
“Hi All, We''re told that in a sample of associates at a law firm, 30 percent are second-year associates, and 60 percent are not first-year associates. We''re asked for the percentage of the associates at the law firm that have been there for MORE than two years. Although this prompt has a bit of ...”
Yesterday
Rich.C@EMPOWERgmat.com posted a reply to "A" and "B" run around a circular track in the Problem Solving forum
“Hi All, This prompt gives us a number of facts to work with: 1) "A" and "B" run around a circular track starting from the same point simultaneously (and in the same direction) 2) "A" meets "B" for the first time when "A" is exactly in the ...”
Yesterday
Brent@GMATPrepNow posted a new topic called Joe’s restaurant has exactly 3 items on its menu in the Data Sufficiency forum
“Joe’s restaurant has exactly 3 items on its menu: Prawns Only meal, Steak Only meal, and Steak & Prawns meal. If the kitchen has 592 prawns and 30 pounds of steak, can it make at least 100 meals? (1) Each Prawns Only meal requires 15 prawns (2) Each Steak Only meal requires 0.62 pounds ...”
Yesterday
Brent@GMATPrepNow posted a new topic called If x, y and z are different positive integers, and y is the in the Problem Solving forum
“If x, y and z are different positive integers, and y is the greatest common divisor of x, y and z, which of the following MUST be true? i) y < x ii) the greatest common divisor of x and z is greater than y iii) the greatest common divisor of x and y is y A) ii only B) i and ii only C) i ...”
Yesterday
Brent@GMATPrepNow posted a reply to If p is a positive integer, is p even? in the Data Sufficiency forum
“Target question: Is p EVEN? ASIDE: Another way to handle statement 2 is to apply a useful rule: 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 ...”
Yesterday
Brent@GMATPrepNow posted a new topic called Joe’s restaurant has exactly 3 items on its menu: Prawns Onl in the Problem Solving forum
“Wrong forum - I''ve reposted the question is Data Sufficiency”
Yesterday
Brent@GMATPrepNow posted a reply to How many gallons of water must be mixed with 1 gallon in the Problem Solving forum
“Let x = the volume (in gallons) of water that must be added to the existing mixture. We have 1 gallon of the EXISTING mixture, which is 15% salt. 15% of 1 = 0.15 So, the EXISTING mixture contains 0.15 gallons of salt When we add x gallons of water to the existing mixture, the NEW mixture has ...”
Yesterday
Max@Math Revolution posted a new topic called How many 4-digit integers have the form abcd, where b is eve in the Problem Solving forum
“[GMAT math practice question] How many 4-digit integers have the form abcd, where b is even and d >= 2b? A. 900 B. 1200 C. 1520 D. 2400 E. 2700”
Yesterday
Max@Math Revolution posted a new topic called x+y=? in the Data Sufficiency forum
“[GMAT math practice question] $$x+y=?$$ $$\left(1\right)3x=y$$ $$\left(2\right)\sqrt{x-1}=-|3-y|$$”
Yesterday
Rich.C@EMPOWERgmat.com posted a reply to Last year's receipts from the sale of candy on Valentine's in the Problem Solving forum
“Hi All, We''re told that last year''s receipts from the sale of candy on Valentine''s Day totaled 385 million dollars and those receipts represented 7% of total candy sales for the year. We''re asked for the total dollar amount of candy sold, in millions of dollars, for the year. This question ...”
Yesterday
Rich.C@EMPOWERgmat.com posted a reply to If x = 3y = 4z, which of the following must equal 6x ? in the Problem Solving forum
“Hi VJesus12, We''re told that X = 3Y = 4Z. We''re asked which of the following must equal 6X. This question can be solved in a couple of different ways, including by TESTing VALUES. IF.... X=12, Y=4, Z=3.....then we''re looking for values that equal 6(12) = 72. I. 18Y 18(4) = 72, so ...”
Yesterday
Rich.C@EMPOWERgmat.com posted a reply to A certain disability plan pays monthly benefits of 60 in the Problem Solving forum
“Hi All, We''re told that a certain disability plan pays monthly benefits of 60 percent of the FIRST $2000 of monthly salary plus 40 percent of any portion in EXCESS of$2000, with the total monthly benefit not to exceed $2,500. We''re asked for the SMALLEST monthly salary that will yield the ...” Yesterday Brent@GMATPrepNow posted a reply to A jar contains 6 red marbles and 9 blue marbles. If Evelyn in the Problem Solving forum “P(both are same color) = P(1st marble is red AND 2nd marble is red OR 1st marble is blue AND 2nd marble is blue) = x P(2nd marble is red)] + x P(2nd marble is blue)] = x 5/14] + x 8/14] = x 5/14] + x 8/14] = 10/70 + 24/70 = 34/70 = 17/35 Answer: D Cheers, Brent” May 21, 2018 Brent@GMATPrepNow posted a reply to If x = 3y = 4z, which of the following must equal 6x ? in the Problem Solving forum “Let''s examine each statement I. 18y Given: x = 3y Multiply both sides by 6 to get: 6x = 18y Perfect! Statement I is TRUE Check the answer choices.....ELIMINATE B and C since they state that statement I is not true. II. 3y + 20z Given: x = 3y Also, since x = 4z, we can multiply both ...” May 21, 2018 Brent@GMATPrepNow posted a reply to If A is a prime number, what is the value of A? in the Data Sufficiency forum “Target question: What is the value of A? Given: A is a prime number Statement 1: 0 < A < 10 Let''sTEST some values. There are several values of A that satisfy statement 1. Here are two: Case a: A = 2 Case b: A = 3 Since we cannot answer the target question with certainty, ...” May 21, 2018 Brent@GMATPrepNow posted a reply to If p is a positive integer, is p even? in the Data Sufficiency forum “Target question: Is p even? Statement 1: p divided by 3 leaves a remainder of 1 In other words, p is 1 greater than some multiple of 3 There are several values of p that satisfy this condition. Here are two: Case a: p = 4. In this case, the answer to the target question is YES, p is even ...” May 21, 2018 Brent@GMATPrepNow posted a new topic called If x and y are positive integers, and 4x is the least in the Problem Solving forum “If x and y are positive integers, and 4x is the least common multiple of x and y, which of the following MUST be true? i) x is the greatest common divisor of x and y ii) x = y/4 iii) x is a multiple of 4 A) i only B) ii only C) iii only D) ii and iii only E) none Answer: E Difficulty ...” May 21, 2018 ceilidh.erickson posted a reply to OG VERBAL REVIEW 2018 - Early administrative decisions in in the Sentence Correction forum “You''re right - a fall, a reduction, the collapse, and the failing - could have been a parallel list of 4 things. The main issue is that "as well as" is not a conjunction, and thus cannot take the place of "and." We can''t say W, X, Y, as well as Z. It must be W, X, Y, and Z. ...” May 21, 2018 ceilidh.erickson posted a reply to 720 GMAT, worth retaking? in the GMAT Strategy forum “It depends on the rest of your application. A 720 is certainly high enough to show that you have the cognitive capabilities of handling any top-10 school. If the rest of your application is unique and impressive, then you''re fine - a retake won''t confer much additional benefit. But if your GPA or ...” May 21, 2018 Brent@GMATPrepNow posted a new topic called If x and y are integers, and in the Data Sufficiency forum “If x and y are non-zero integers, and (-x)^x = y^y, what is the value of x? (1) x + y = 0 (2) x is odd Answer: E Difficulty level: 650 – 700 Source: www.gmatprepnow.com” May 21, 2018 Brent@GMATPrepNow posted a reply to On Monday, Karen had S dollars in her savings account in the Problem Solving forum “Monday S dollars in savings account C dollars in checking account Tuesday: Karen transferred half of the money in her savings account to her checking account Amount in savings account = 0.5S Amount in checking account = C + 0.5S Wednesday: Karen transferred 20% of the money in her checking ...” May 21, 2018 Brent@GMATPrepNow posted a reply to Is 2 < xy < 20? in the Data Sufficiency forum “Target question: Is 2 < xy < 20? Statement 1: -2 < x < 4 Since we have no information about the value of y, there''s no way to the target question with certainty. So, statement 1 is NOT SUFFICIENT Statement 2: -1 < y < 5 There are several values of x and y that ...” May 21, 2018 Max@Math Revolution posted a new topic called If 123,456=123a+87 and 234,567=123b+6, how many multiples o in the Problem Solving forum “[GMAT math practice question] If 123,456=123a+87 and 234,567=123b+6, how many multiples of 123 lie between 123,456 and 234,567? A. a B. b C. a+b D. a-b E. b-a” May 21, 2018 Max@Math Revolution posted a new topic called Jayden draws a regular n-gon. What is the value of n? in the Data Sufficiency forum “[GMAT math practice question] Jayden draws a regular n-gon. What is the value of n? 1) Each interior angle of the n-gon is greater than 115. 2) Each interior angle of the n-gon is less than 125.” May 21, 2018 Max@Math Revolution posted a reply to How many triples (a,b,c) of even positive integers satisfy a in the Problem Solving forum “=> Consider the variable a first. Since 4^3 > 50, we can only have a = 2. If a = 2, then b^2 + c = 42 since a^3 = 2^3 = 8. Since 8^2 = 64 > 42, we can only have b = 2, 4 or 6. If b = 2, then b^2 + c = 2^2 + c = 4 + c = 42 and c = 38. If b = 4, then b^2 + c = 4^2 + c = 16 + c = 42 and ...” May 21, 2018 Max@Math Revolution posted a reply to How many 4-digit numbers have only even digits? in the Problem Solving forum “=> Suppoose abcd is 4-digit number with only even digits. Then a is one of 2, 4, 6 and 8, and b, c and d may be selected from the digits 0, 2, 4, 6 and 8. So, there are 4 choices for a, and 5 choices for each of b, c and d. The total number of 4-digit numbers with only even digits is thus ...” May 21, 2018 Max@Math Revolution posted a reply to What is the remainder when a positive integer n is divided b 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 21, 2018 Max@Math Revolution posted a reply to Is n an integer? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” May 21, 2018 Rich.C@EMPOWERgmat.com posted a reply to OG Is the area of the triangular region above less than 20? in the Data Sufficiency forum “Hi All, We''re asked if the area of the triangular region above is LESS than 20. This is a YES/NO question and can be solved by TESTing VALUES and using some specific Geometry rules. When dealing with Geometry questions, it''s important to remember that we CANNOT trust the picture. We know that ...” May 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to What the value of w^-2? in the Data Sufficiency forum “Hi All, We''re asked for the value of w^(-2). This is a great example of a ''concept question'' - meaning that you don''t actually have to do any math to get the answer as long as you understand the concept(s) involved. The concepts tested here are all about exponents of numbers. The two ...” May 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to please explain in the Data Sufficiency forum “Hi All, We''re asked for the cube root of W. This is a great example of a ''concept question'' - meaning that you don''t actually have to do any math to get the answer as long as you understand the concept(s) involved. The concepts tested here are all about ''roots'' of numbers. The root ...” May 20, 2018 Brent@GMATPrepNow posted a new topic called Is 2 < xy < 20? in the Data Sufficiency forum “Is 2 < xy < 20? (1) -2 < x < 4 (2) -1 < y < 5 Answer: E Difficulty level: 450 - 500 Source: www.gmatprepnow.com” May 20, 2018 Brent@GMATPrepNow posted a new topic called On Monday, Karen had S dollars in her savings account in the Problem Solving forum “On Monday, Karen had S dollars in her savings account and C dollars in her checking account. On Tuesday, Karen transferred half of the money in her savings account to her checking account. On Wednesday, Karen transferred 20% of the money in her checking account to her savings account, at which point ...” May 20, 2018 Rich.C@EMPOWERgmat.com posted a reply to The equation of a straight line containing the points in the Problem Solving forum “Hi All, We''re asked for the equation of a straight line that contains the points (10, 100) and (15, 60). This question can be solved by simply ''plugging'' in the two co-ordinates and finding the equation that includes both among its solutions. The first coordinate is arguably the easiest ...” May 20, 2018 Brent@GMATPrepNow posted a reply to m and n are positive integers. If mn + 2m + n + 1 is even, in the Problem Solving forum “Here''s a different solution: Since m and n can each be either even or odd, there are 4 possible cases to consider: case a) m is EVEN and n is EVEN case b) m is ODD and n is EVEN case c) m is EVEN and n is ODD case d) m is ODD and n is ODD Now let''s test each case as we examine mn + 2m + ...” May 19, 2018 Brent@GMATPrepNow posted a reply to m and n are positive integers. If mn + 2m + n + 1 is even, in the Problem Solving forum “There are several ways to approach this question. Here''s one approach: First recognize that mn + 2m + n + 1 is ALMOST factorable. If the expression were mn + 2m + n + 2, then we COULD factor it. Next, recognize that, if mn + 2m + n + 1 is even, then mn + 2m + n + 2 must be ODD Now recognize ...” May 19, 2018 Brent@GMATPrepNow posted a reply to OG12: An arithmetic sequence in the Problem Solving forum “Basically, an arithmetic sequence is a sequence in which each term can be calculated by adding some constant, k, to the preceding term. Some examples: 6, 8, 10, 12, 14,... (adding 2 to each term to get the next term) -1, 6, 13, 20, 27,... (adding 7 to each term to get the next term) 10, 7, ...” May 18, 2018 Rich.C@EMPOWERgmat.com posted a reply to Jemma takes 2 hours to swim the 4 miles from buoy A to in the Problem Solving forum “Hi swerve, We''re told that Jemma takes 2 hours to swim the 4 miles from buoy A to buoy B and then continues to buoy C at HALF her previous speed. If buoy C is 6 miles away from buoy B, we''re asked how many MORE hours will pass before Jemma reaches Buoy C. This question is just a ''Rate'' ...” May 18, 2018 Rich.C@EMPOWERgmat.com posted a reply to Equal volumes of water were poured into 3 empty flasks in the Problem Solving forum “Hi swerve, We''re told that EQUAL volumes of water were poured into 3 empty flasks, making one flask 1/6 full, one flask 1/8 full, and one flask 1/12 full. Then, half of the water from each of the two smallest flasks is then poured into the largest flask. We''re asked what fraction of the ...” May 18, 2018 Rich.C@EMPOWERgmat.com posted a reply to A shop sells two variants of chocolates - one that costs in the Problem Solving forum “Hi All, We''re told that a shop sells two variants of chocolates - one that costs$3 and the other that costs $5 and the shop sold$108 of chocolates on a given day. We''re asked for the number of different combinations of (number of $3 sold, number of$5 sold) that could have been sold. This ...”
May 18, 2018
Brent@GMATPrepNow posted a reply to Jerry travels 8 miles at an average speed of 40 miles per in the Problem Solving forum
“Your solution is perfect! That said, another approach is to focus on the 2nd part of the trip. In the first part of the trip, Jerry travels 8 miles at an average speed of 40 miles per hour In the 2nd part of the trip, Jerry stops for 10 minutes, and then travels another 20 miles at an ...”
May 18, 2018
Brent@GMATPrepNow posted a reply to m, n and k are positive integers. If the product in the Data Sufficiency forum
“Target question: Is k odd? Given: The product mn is odd If the product mn is odd, when we know that m is ODD and n is ODD Statement 1: mn + n + k is odd In other words: (ODD)(ODD) + ODD + k is odd Simplify: ODD + ODD + k is odd Simplify more: EVEN + k is odd This means k must be ...”
May 18, 2018
Brent@GMATPrepNow posted a reply to To offset miscellaneous costs, a dealership decides to in the Problem Solving forum
“Sorry, vinni.k, but I don''t understand what you are saying. Can you elaborate? Cheers, Brent”
May 18, 2018
Brent@GMATPrepNow posted a reply to How many sides does polygon P have? (1) All sides of P have in the Data Sufficiency forum
“Target question: How many sides does polygon P have? Statement 1: All sides of P have equal lengths. There are infinitely many polygons that satisfy statement 1. Here are two: Case a: Polygon P is an equilateral triangle. In this case, the answer to the target question is polygon P has 3 ...”
May 18, 2018
Brent@GMATPrepNow posted a reply to If a number between 10 and 50 (inclusive) at random. in the Problem Solving forum
“I think that listing (while looking for a pattern) and counting is the best/fastest approach here. Let''s list all of the numbers (from 10 to 50 inclusive) such that the tens digit is greater than one digit Numbers with tens digit 1: 10 Numbers with tens digit 2: 20, 21 Numbers with tens ...”
May 18, 2018
Max@Math Revolution posted a new topic called How many triples (a,b,c) of even positive integers satisfy a in the Problem Solving forum
“[GMAT math practice question] How many triples (a,b,c) of even positive integers satisfy a^3 + b^2 + c = 50? A. one B. two C. three D. four E. five”
May 18, 2018
Max@Math Revolution posted a reply to If 10^n< 0.003456 <10^{n+1}, what is the value of the in the Problem Solving forum
“=> When we multiply all sides of the inequality by 10^6, we obtain 10^{n*}10^6 < 3,456 < 10^{n+1}*10^6 or 10^{n+6} < 3,456 < 10^{n+7}.. Since 1,000 < 3,456 < 10,000, 10^{n+6}=1,000=103 and n+6=3. So, n=-3. Therefore, the answer is B. Answer: B”
May 18, 2018
Max@Math Revolution posted a new topic called What is the remainder when a positive integer n is divided b in the Data Sufficiency forum
“[GMAT math practice question] What is the remainder when a positive integer n is divided by 36? 1) The remainder when n is divided by 12 is 5. 2) The remainder when n is divided by 18 is 11.”
May 18, 2018
Max@Math Revolution posted a reply to If x^2>y^2, 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 ...”
May 18, 2018
Rich.C@EMPOWERgmat.com posted a reply to Is x < 0? (1) -2x > 0 (2) x^3 < 0 in the Data Sufficiency forum
“Hi alanforde800Maximus, We''re asked if X is less than 0. This is a YES/NO question and can be solved with Number Properties. 1) -2X > 0 The ONLY way for (-2)(X) to be positive is if X is a NEGATIVE number. Thus, the answer to the question is ALWAYS YES. Fact 1 is SUFFICIENT. 2) ...”
May 18, 2018
Rich.C@EMPOWERgmat.com posted a reply to Is xy< 0 ? in the Data Sufficiency forum
“Hi VJesus12, We''re asked if (X)(Y) is less than 0. This is a YES/NO question and can be solved by TESTing VALUES. 1) (X)(Y^2) < Y^2 IF.... X=0 and Y=1 then (X)(Y) = (0)(1) = 0 and the answer to the question is NO. X= -1 and Y=1 then (X)(Y) = (-1)(1) = -1 and the answer to the ...”
May 18, 2018
Rich.C@EMPOWERgmat.com posted a reply to Each vote in a certain election went to one of the two candi in the Data Sufficiency forum
“Hi alanforde800Maximus, We''re told that each vote in a certain election went to one of the two candidates, X or Y, Candidate X received 624 votes cast by men and Candidate Y received 483 votes cast by women. We''re asked for the total number of votes received by Candidate X. Since we already ...”
May 18, 2018
Rich.C@EMPOWERgmat.com posted a reply to For each order, a certain company charges a delivery fee d t in the Data Sufficiency forum
“Hi alanforde800Maximus, We''re told that for each order, a certain company charges a delivery fee D that depends on the total price X of the merchandise in the order, where D and X are in dollars and D = 3, if 0 < X <= 100 D = 3 + (X-100)/100, if 100 < X <= 500 D = 7, if X > ...”
May 18, 2018
Brent@GMATPrepNow posted a reply to To offset miscellaneous costs, a dealership decides to in the Problem Solving forum
“I''m not entirely sure this question is ambiguous. I read it as: one of the motorcycles (we''ll name it Clark) gets a 7% price increase PLUS an additional increase of $350 These changes are equivalent to a 9% price increase (for Clark) As we can see, it doesn''t make a difference whether each ...” May 17, 2018 Brent@GMATPrepNow posted a new topic called m and n are positive integers. If mn + 2m + n + 1 is even, in the Problem Solving forum “m and n are positive integers. If mn + 2m + n + 1 is even, which of the following MUST be true? i) (2n + m)² is even ii) n² + 2n – 11 is even iii) m² – 2mn + n² is odd A) ii only B) ii and iii only C) i and ii only D) i and iii only E) i, ii and iii Answer: E Difficulty ...” May 17, 2018 Max@Math Revolution posted a new topic called How many 4-digit numbers have only even digits? in the Problem Solving forum “[GMAT math practice question] How many 4-digit numbers have only even digits? A. 500 B. 525 C. 600 D. 625 E. 800” May 17, 2018 Max@Math Revolution posted a reply to In a certain theater, the first row has 12 seats, and each r in the Problem Solving forum “=> The question asks for the value of 12 + 13 + ... + 50. This is the sum of an arithmetic sequence with first term a = 12, and last term l = 50. The sum of n terms of an arithmetic sequence may be found using the formula n/2 (a + l). The number of rows is n = 50 – 12 + 1 = 39. So, ...” May 17, 2018 Max@Math Revolution posted a new topic called Is n an integer? in the Data Sufficiency forum “[GMAT math practice question] Is n an integer? 1) 2n is an integer 2) 1/n is an integer” May 17, 2018 Max@Math Revolution posted a reply to Katrina draws a regular n-sided polygon. 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 ...” May 17, 2018 Rich.C@EMPOWERgmat.com posted a reply to Work PS problem I am having trouble solving in the Problem Solving forum “Hi All, We''re told that a computer programmer needs to print 148 documents, each document has an average length of 10 pages and the printer takes 15 seconds to print each page. We''re asked for the approximate number of hours needed to print all the documents if they are printed without ...” May 17, 2018 Rich.C@EMPOWERgmat.com posted a reply to When the figure above is cut along the solid lines, folded a in the Problem Solving forum “Hi alanforde800Maximus, If you''re thinking about drawing this shape, then you could potentially do that - but if you focused too much on the drawing (and not on the description in the prompt) then you might find it a little tough to draw an appropriate sketch. For the sake of argument, could ...” May 17, 2018 Rich.C@EMPOWERgmat.com posted a reply to The Number of students learning Three subjects are as in the Problem Solving forum “Hi M7MBA, We''re told that the number of students learning three subjects is as follows: Maths = 40, English = 50, Science = 35, the number of students learning EXACTLY two subjects is MAXIMIZED and NO student learns all the three subjects. We''re asked for the minimum number of students ...” May 17, 2018 Brent@GMATPrepNow posted a reply to Is x < 0? (1) -2x > 0 (2) x^3 < 0 in the Data Sufficiency forum “Target question: Is x < 0? Statement 1: -2x > 0 Divide both sides by -2 to get: x < 0 So, the answer to the target question is YES, x < 0 Since we can answer the target question with certainty, statement 1 is SUFFICIENT Statement 2: x^3 < 0 Since x^2 must be POSITIVE ...” May 17, 2018 Brent@GMATPrepNow posted a reply to An investment compounds annually at an interest rate in the Problem Solving forum “We can use fractions to solve this question. Each year, the investment increases 34.1% This is very close to an increase of 1/3 (33.33%) So, if the investment increases by 1/3 each year, then each year, we can find the value of the investment by multiplying last year''s value by 4/3 (this ...” May 17, 2018 Brent@GMATPrepNow posted a new topic called m, n and k are positive integers. If the product in the Data Sufficiency forum “m, n and k are positive integers. If the product mn is odd, is k odd? (1) nm + n + k is odd (2) n² – kn – 6k² is even Answer: D Difficulty level: 600 - 650 Source: www.gmatprepnow.com” May 16, 2018 Brent@GMATPrepNow posted a reply to basic algebra in the Problem Solving forum “What is the source of these questions you''ve recently posted? They don''t seem GMAT--worthy. Cheers, Brent” May 16, 2018 Brent@GMATPrepNow posted a reply to Roger's edge fund is taking x dollars and investing in bonds in the Problem Solving forum “Roger''s hedge fund is taking x dollars and investing in bonds that yield r percent in simple interest. The amount of interest earned over 2 years is$1000. So, the original investment of x dollars results in $500 interest EACH YEAR In terms of x, what dollar amount invested will yield$4000 ...”
May 16, 2018
May 16, 2018
Brent@GMATPrepNow posted a reply to If (-20) + (-19) + (-18) + (-17) + . . . in the Problem Solving forum
“First notice that (-20) + (-19) + (-18) + (-17) + . . . + 17 + 18 + 19 + 20 = 0 So, we have: (-20) + (-19) + (-18) + (-17) + . . . + 17 + 18 + 19 + 20 + 21 + 22 + ? + ? + ... + (-2x - 4) = 90 Simplify to get: -0 + 21 + 22 + ? + ? + ... + (-2x - 4) = 90 We can see that we won''t need to add ...”
May 16, 2018
Brent@GMATPrepNow posted a reply to when n divided by 3, the remainder is 2. in the Problem Solving forum
“IMPORTANT: Many integer property questions can be found quickly by identifying values that satisfy the given information. ---------ASIDE------------------ When it comes to remainders, we have a nice rule that says: If N divided by D leaves remainder R, then the possible values of N are R, ...”
May 16, 2018
Brent@GMATPrepNow posted a reply to Which of the following numbers is the biggest in the Problem Solving forum
“Since we''re dealing with NEGATIVE numbers, the greatest number will be the one with the smallest MAGNITUDE For example, 2 < 3, so we know that -2 is greater than -3 Likewise, 11 < 12, so we know that -11 is greater than -12 Of the values 6/7, 7/8, 9/10, 12/13 and 34/35, the fraction ...”
May 16, 2018
Brent@GMATPrepNow posted a reply to Each vote in a certain election went to one of the two candi in the Data Sufficiency forum
“We can use the Double Matrix Method here to help us arrange our information. The Double Matrix 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 voters, and the two characteristics are: - male or ...”
May 16, 2018
Max@Math Revolution posted a new topic called If 10^n< 0.003456 <10^{n+1}, what is the value of the intege in the Problem Solving forum
“[GMAT math practice question] If 10^n< 0.003456 <10^{n+1}, what is the value of the integer n? A. -4 B. -3 C. -2 D. -1 E. 0”
May 16, 2018
Max@Math Revolution posted a reply to For all n > 0, the nth term of the arithmetic sequence { in the Problem Solving forum
“=> We first need to find d. Now, A10 = A1 + 9d => 94 = 4 + 9d => 9d = 90 => d = 10. So, A11 = A1 + (11-1)d = 4 + 10*10 = 104. Therefore, D is the answer. Answer: D”
May 16, 2018
Max@Math Revolution posted a new topic called If x^2>y^2, is x>y? in the Data Sufficiency forum
“[GMAT math practice question] If x^2>y^2, is x>y? 1) x>0 2) y>0”
May 16, 2018
Max@Math Revolution posted a reply to A school employs math teachers and physics teachers. If 4 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. Let m be ...”
May 16, 2018
Brent@GMATPrepNow posted a reply to Mark can paint twice as fast as Joe. If Mark starts to paint in the Problem Solving forum
“Mark can paint twice as fast as Joe. So, for every 1 foot of wall that Joe paints, Mark can paint 2 feet of wall. In other words, for every 3 feet of wall that the two man paint TOGETHER, Joe moves 1 foot and Mark moves 2 feet. Generally speaking, for every x feet of wall that the two man ...”
May 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to When the figure above is cut along the solid lines, folded a in the Problem Solving forum
“Hi alanforde800Maximus, We''re told to cut along the solid lines, fold along the dashed lines, and tape along the solid lines to form a model of a geometric solid. This geometric solid consists of 2 pyramids, each with a square base that they share. We''re asked for the sum of the number of ...”
May 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to How many four-digit positive integers can be formed by using in the Problem Solving forum
“Hi All, We''re asked for the number of different four-digit positive integers that can be formed by using the digits from 1 to 9 so that TWO digits are EQUAL to each other and the remaining two are ALSO EQUAL to each other but DIFFERENT from the other two. The ''quirky'' part about this ...”
May 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to Working alone, Manuel finishes cleaning half the house in in the Problem Solving forum
“Hi All, We''re told that working alone, Manuel finishes cleaning HALF the house in a THIRD of the time it takes Nick to clean the entire house alone and that Manuel alone cleans the entire house in 6 hours. We''re asked for the number of hours it would take Nick and Manuel to clean the entire ...”
May 15, 2018
Brent@GMATPrepNow posted a reply to A boat traveled a total of 600 miles in two days. If the in the Problem Solving forum
“Let F = number of miles traveled on first day Let S = number of miles traveled on second day A boat traveled a total of 600 miles in two days. So, we can write: F + S = 600 The distance it traveled on the first day was 150 miles less than twice the distance it traveled on the second day ...”
May 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to 720 GMAT, worth retaking? in the GMAT Strategy forum
“Hi jc2586, To start, a 720/Q49 is an outstanding score (it''s above the 90th percentile overall), so you can comfortably apply to ANY Business Schools that interest you. By extension, a retest is almost certainly NOT necessary. Since you''re planning to apply to some highly-competitive Schools, ...”
May 15, 2018
“Hi PiyaNca, To start, you would likely receive more of a response if you posted your question in the appropriate sub-forum. For example, the Problem Solving Forum can be found here: https://www.beatthegmat.com/problem-solving-f6.html In this question, we''re told that to earn a joint ...”
May 15, 2018
Brent@GMATPrepNow posted a new topic called If a = 100, what is the value of c? in the Problem Solving forum
“https://i.imgur.com/DxjVcg8.png If a = 100, what is the value of c? (1) b = 30 (2) f = 50 Answer: D Source: www.gmatprepnow.com Difficulty level: 500-550”
May 15, 2018
Brent@GMATPrepNow posted a new topic called If (-20) + (-19) + (-18) + (-17) + . . . in the Problem Solving forum
“If (-20) + (-19) + (-18) + (-17) + . . . + (-2x - 4) = 90, what is the value of x? A) -24 B) -14 C) -10 D) 10 E) 14 Answer: B Source: www.gmatprepnow.com Difficulty level: 550-600”
May 15, 2018
Brent@GMATPrepNow posted a reply to ---P---Q---R---S---T--- In the figure above, what is the le in the Data Sufficiency forum
“Target question: What is the length of segment PQ? Statement 1: S is the midpoint of segment RT Since we are not given ANY actual measurements (i.e., lengths) whatsoever, there''s no way to determine the length of PQ Statement 1 is NOT SUFFICIENT Statement 2: Segment PT has length 10 and ...”
May 15, 2018
Brent@GMATPrepNow posted a reply to w, x, y and z are positive integers. When w is divided by x, in the Data Sufficiency forum
“Target question: What is the value of z? Given: w, x, y and z are positive integers. When w is divided by x, the quotient is y, and the remainder is z. Statement 1: x³ - 3x² + 2x = 0 Let''s solve this equation for x. Factor to get: x(x² - 3x + 2) = 0 Factor the quadratic to get: ...”
May 15, 2018
Brent@GMATPrepNow posted a reply to Working alone, Manuel finishes cleaning half the house in in the Problem Solving forum
“Another option for many work questions is to assign a nice value to the given job. Here, a nice value will be one that works well with the given numbers (6 hours, 1/2 the time, 1/3 of the time) So, have about 36. Let''s say the entire job of cleaning the house consists of cleaning 36 rooms. ...”
May 15, 2018
Max@Math Revolution posted a new topic called In a certain theater, the first row has 12 seats, and each r in the Problem Solving forum
“[GMAT math practice question] In a certain theater, the first row has 12 seats, and each row has 1 more seat than the previous row. If the last row has 50 seats, what is the total number of seats in the theater? A. 1003 B. 1029 C. 1129 D. 1209 E. 1,339”
May 15, 2018
Max@Math Revolution posted a new topic called Katrina draws a regular n-sided polygon. What is the value o in the Data Sufficiency forum
“[GMAT math practice question] Katrina draws a regular n-sided polygon. What is the value of n? 1) One internal angle of the polygon is 108o 2) The sum of all the side lengths is 120”
May 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to If the value of x quarters is equal to the value of in the Problem Solving forum
“Hi VJesus12, We''re told that the value of X quarters is equal to the value of (X + 32) nickels. We''re asked for the value of X. This question can be approached in a number of different ways, including by ''brute force'' arithmetic. The value of 1 quarter is the same as the total value of 5 ...”
May 14, 2018
Rich.C@EMPOWERgmat.com posted a reply to Stella paid $1,500 for a computer after receiving a 20 in the Problem Solving forum “Hi VJesus12, We''re told that Stella paid$1,500 for a computer AFTER receiving a 20 percent discount. We''re asked for the price of the computer BEFORE the discount. This question can be solved by TESTing THE ANSWERS. Since $1500 is the price AFTER the discount, the original price must be ...” May 14, 2018 Rich.C@EMPOWERgmat.com posted a reply to A car traveled 60 mph from Belnap to Lincoln and 50 mph from in the Problem Solving forum “Hi AAPL, We''re told that a car traveled 60 mph from Belnap to Lincoln and 50 mph from Lincoln to Belnap and that the whole trip was 660 miles. We''re asked how long (in hours) the round trip took. The answers to this question are ''spread out'' enough that you can actually do some ''rounding'' ...” May 14, 2018 Rich.C@EMPOWERgmat.com posted a reply to If k is negative, which of the following must also be negati in the Problem Solving forum “Hi alanforde800Maximus, We''re told that K is NEGATIVE. We''re asked which of the following MUST also be NEGATIVE. This question can be solved by TESTing VALUES. IF... K = -1 Answer A = (1)^2 = 1 Answer B = (-1)(-1) = 1 Answer C = 1 - (-1) = 2 Answer D = (-1) + 1 = 0 Answer E = (-1) - ...” May 14, 2018 Brent@GMATPrepNow posted a reply to If k is negative, which of the following must also be negati in the Problem Solving forum “NOTE: this is one of those questions that require us to check/test each answer choice. In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top. For more on this strategy, see my article: ...” May 14, 2018 Brent@GMATPrepNow posted a reply to If 12x + 2y is 80% of 5y, what is the value of x/y ? in the Problem Solving forum “Sionainn''s solution is perfect. It''s the same approach I''d use. However, here''s another approach (for kicks!) Let''s try to find some values for x and y that satisfy the given information: 12x + 2y is 80% of 5y Let''s first let y = 20, and then figure out what value of x is needed. We ...” May 14, 2018 Brent@GMATPrepNow posted a reply to Last year Jenny was 5 feet tall, and this year she is in the Problem Solving forum “Old height: 5 feet = 60 inches New height: 5 feet 6 inches = 66 inches Percent increase = (100)(new - old)/old = (100)(66 - 60)/60 = (100)(6)/60 = 600/60 = 10% Answer: B Cheers, Brent” May 14, 2018 Brent@GMATPrepNow posted a reply to If a = 4b, what percent of 2a is 2b? in the Problem Solving forum “I would have used the same approach that Mitch used. However, here''s an algebraic approach: If a = 4b, then 2a = 8b What percent of 2a is 2b? We can rewrite as: 2b/2a = what percent? Or, we can write: 2b/8b = what percent? Simplify: 1/4 = what percent? Since 1/4 = 25%, the correct ...” May 14, 2018 Brent@GMATPrepNow posted a reply to If x is a positive integer, what is the least common in the Data Sufficiency forum “Another approach: Target question: What is the LCM of x, 6 and 9? ASIDE: The LCM tells us about the prime factors that numbers have in common. For example: The LCM of 20 and 12 is 60 60 = (2)(2)(3)(5). So, the prime factorization of 60 has two 2''s, one 3, and one 5. Now examine the ...” May 14, 2018 Brent@GMATPrepNow posted a reply to If x is a positive integer, what is the least common in the Data Sufficiency forum “Target question: What is the LCM of x, 6 and 9? I''ll show you two different approaches. This first approach uses requires us to be able to think of pairs of values that have given LCM''s. This is a useful skill to have on the GMAT. Statement 1: The least common multiple of x and 6 is 30. ...” May 14, 2018 Brent@GMATPrepNow posted a reply to A car traveled 60 mph from Belnap to Lincoln and 50 mph from in the Problem Solving forum “That''s a perfectly valid approach. Here''s one slight modification: Once we know that the total time = 330/60 + 330/50, we might also see what happens when we find a common denominator BEFORE adding the parts. So, total time = 330/60 + 330/50 = (5)330/300 + (6)(330)/300 = (11)(330)/300 ...” May 14, 2018 Max@Math Revolution posted a new topic called For all n > 0, the nth term of the arithmetic sequence { An in the Problem Solving forum “n } may be found using the formula An=A1+(n-1)d. If A1=4 and A10= 94, what is the value of A11? A. 101 B. 102 C. 103 D. 104 E. 105” May 14, 2018 Max@Math Revolution posted a new topic called A school employs math teachers and physics teachers. If 4 of in the Data Sufficiency forum “[GMAT math practice question] A school employs math teachers and physics teachers. If 4 of these teachers are selected randomly, what is the probability that at least one math teacher is selected? 1) The ratio of the number of physics teachers to the number of math teachers is 2 to 1. 2) The ...” May 14, 2018 Max@Math Revolution posted a reply to If the terms of a sequence {An} are defined by An=n/100, whe in the Problem Solving forum “=> A101 + A102 + … + A200 = 101/100 + 102/100 + … + 200/100 = (1/100)( 101 + 102 + … + 200 ) = (1/100) ( 100*( 101 + 200 ) / 2 ) = 301/2 = 150.5 Therefore, the answer is B. Answer: B” May 14, 2018 Max@Math Revolution posted a reply to What is the range of the 5 numbers x, y, 10, 15, and 20? 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 14, 2018 Max@Math Revolution posted a reply to (2^5+2^6+2^7+2^8)^2=? in the Problem Solving forum “=> Therefore, E is the answer. Answer : E $$\left(2^5+2^6+2^7+2^8\right)^2$$ $$=\left(2^5\left(2^0+2^1+2^2+2^3\right)\right)^2$$ $$=\left(2^5\left(1+2+4+8\right)\right)^2$$ $$=\left(2^5\left(15\right)\right)^2$$ $$=\left(2^5\left(3\cdot5\right)\right)^2$$ ...” May 14, 2018 Rich.C@EMPOWERgmat.com posted a reply to The original price of a camera was displayed as a whole in the Problem Solving forum “Hi Gmat_mission, We''re told that the original price of a camera was displayed as a whole dollar amount and after adding sales tax of 10 percent, the final price was ALSO a whole dollar amount. We''re asked which of the following COULD be the final price of the camera. This question is based on ...” May 13, 2018 Rich.C@EMPOWERgmat.com posted a reply to The number of coins that Lana and Brad had were in the in the Problem Solving forum “Hi Gmat_mission, We''re told that the number of coins that Lana and Brad had were in the ratio of 5 : 2, respectively and AFTER Lana gave Brad 8 of her coins, the ratio of the number of coins Lana had to the number Brad had was 3 : 2. We''re asked AFTER Lana gave Brad the coins, how many more ...” May 13, 2018 Rich.C@EMPOWERgmat.com posted a reply to At 9:00 AM, a certain ice cream cart has twice as many in the Problem Solving forum “Hi Gmat_mission, We''re told that at 9:00 AM, a certain ice cream cart has TWICE as many chipwiches as it does mud pies. During the day, only chipwiches are sold, and at 5:00 PM, the cart has the exact SAME number of mud pies as it did at 9:00 AM, but now the number of mud pies is TWICE the ...” May 13, 2018 Rich.C@EMPOWERgmat.com posted a reply to What is the greatest prime factor of 1+2+3+ . . . + 40? in the Problem Solving forum “Hi Vincen, We''re asked for the greatest prime factor of 1 + 2 + 3 + . . . + 40. This question has a number of built-in ''shortcuts'' that you can use to avoid doing lots of calculations. To start, the answers are all prime numbers - so we know that one of those numbers IS the greatest prime ...” May 13, 2018 Brent@GMATPrepNow posted a reply to Finding the Number of Factors | Short Video in the GMAT Math forum “Good post. Here''s a similar video: https://www.youtube.com/watch?v=lVZ9GXd6ZBE It also covers WHY the formula (for finding the number of factors) works. Cheers, Brent” May 13, 2018 Brent@GMATPrepNow posted a new topic called If 12x + 2y is 80% of 5y, what is the value of x/y ? in the Problem Solving forum “If 12x + 2y is 80% of 5y, what is the value of x/y ? A) 1/6 B) 1/4 C) 2/5 D) 1/2 E) 5/8 Answer: A Source: www.gmatprepnow.com Difficulty level: 550-600” May 13, 2018 Brent@GMATPrepNow posted a new topic called w, x, y and z are positive integers. When w is divided by x, in the Data Sufficiency forum “w, x, y and z are positive integers. When w is divided by x, the quotient is y, and the remainder is z. What is the value of z? 1) x³ - 3x² + 2x = 0 2) The least common multiple of w and x is 30. Answer: A Source: www.gmatprepnow.com Difficulty level: 600-650” May 13, 2018 Rich.C@EMPOWERgmat.com posted a reply to 760+: What GMAT Assassins Do to Score at the Highest Levels in the GMAT Strategy forum “Answer to the Prior Question: Long Math Approaches vs. Faster Tactical Approaches In the prior post, I listed the following Quant PS question: Andrew has a certain number of coins in his pocket. He has three times as many dimes as quarters and six times as many nickels as dimes. A nick is ...” May 12, 2018 Rich.C@EMPOWERgmat.com posted a reply to If x and y are positive integers, is x even? in the Data Sufficiency forum “Hi M7MBA, We''re told that X and Y are POSITIVE INTEGERS. Were asked if X is EVEN. This is a YES/NO question can be solved with Number Properties. 1) X - 3Y = 27 IF.... Y = ODD, then X = EVEN and the answer to the question is YES. Y = EVEN, then X = ODD and the answer to the question ...” May 12, 2018 Rich.C@EMPOWERgmat.com posted a reply to If x and y are positive integers, and 4x^2=3y, in the Problem Solving forum “Hi M7MBA, We''re told that X and Y are POSITIVE INTEGERS and 4X^2 = 3Y. We''re asked which of the following MUST be a multiple of 9. While this question is ''quirky'', it can be solved with a little logic and Prime Factorization. To start, we should prime factor 4X^2 = 3Y... (2)(2)(X)(X) = ...” May 12, 2018 Rich.C@EMPOWERgmat.com posted a reply to Three of the four vertices of a rectangle in the xy-coordina in the Problem Solving forum “Hi alanforde800Maximux, The easiest approach to this question is arguably to graph the three points that we''re given and ''connect the dots.'' You will end up seeing the "top" and "right side" of the rectangle. With those sides, you won''t need to do any math - you''ll just ...” May 12, 2018 Brent@GMATPrepNow posted a reply to Is x + y > 6? in the Data Sufficiency forum “Target question: Is x + y > 6? Statement 1: x + 2y > 8 Let''s TEST some values. There are several values of x and y that satisfy statement 1. Here are two: Case a: x = 10 and y = 10. In this case, x + y = 10 + 10 = 20, which is greater than 6. So, the answer to the target question is ...” May 12, 2018 Brent@GMATPrepNow posted a reply to If x > 0, is x^2 < x? in the Data Sufficiency forum “Here''s another approach: Target question: Is x² ＜ x ? This is a good candidate for rephrasing the target question. Aside: Here’s a video with tips on rephrasing the target question: Given: x > 0 Since we''re told that x is POSITIVE, we can safely take x² < x and divide ...” May 12, 2018 Brent@GMATPrepNow posted a reply to If x > 0, is x^2 < x? in the Data Sufficiency forum “Target question: Is x² < x? Statement 1: 0.1 < x < 0.4 A useful property says: If 0 < x < 1, then x² < x Since statement 1 basically tells that 0 < x < 1, we can be certain that x² < x Since we can answer the target question with certainty, statement 1 is ...” May 12, 2018 Brent@GMATPrepNow posted a reply to 3-3*6+2= in the Problem Solving forum “We must follow the order of operations (aka BEDMAS or PEMDAS) Given: 3 - 3 x 6 + 2 Must must perform all divisions and multiplications first. So, 3 - 3 x 6 + 2 = 3 - 18+ 2 Next, when given the options of subtraction and addition, we perform the operations from left to right So, we get: 3 - ...” May 12, 2018 Brent@GMATPrepNow posted a reply to If X and Y are consecutive integers (Y>X), which of the in the Problem Solving forum “If X and Y are consecutive integers, then one number must be EVEN and the other number must be ODD. If one number is ODD and one number is EVEN, then their product must be EVEN So, statement 1 (The product XY is an even number) is ALWAYS TRUE In other words, statement 1 can never be false ...” May 12, 2018 Rich.C@EMPOWERgmat.com posted a reply to Is xy = 1? in the Data Sufficiency forum “Hi VJesus12, We''re asked if (X)(Y) = 1. This is a YES/NO question and we can answer it by TESTing VALUES. 1) X > 1 Fact 1 tells us that X is greater than 1, but tells us nothing about the value of Y. IF..... X=2, Y=2 then the answer to the question is NO X=2, Y=1/2 then the answer ...” May 11, 2018 Rich.C@EMPOWERgmat.com posted a reply to If the average (arithmetic mean) of n consecutive odd in the Data Sufficiency forum “Hi VJesus12, We''re told that the average of N CONSECUTIVE ODD integers is 10. We''re asked for the least of the integers. This DS question hides an interesting Number Property that you''ll find useful. If you''re dealing with consecutive odd integers with an average of 10, then the ...” May 11, 2018 Rich.C@EMPOWERgmat.com posted a reply to If the width, depth and length of a rectangle box were each in the Problem Solving forum “Hi All, We''re told that the width, depth, AND length of a rectangular box are each decreased by 50%. We''re asked by what percent the volume of the box decreases. This question can be solved rather easily by TESTing VALUES. There''s also a great ''concept shortcut'' that you can use to answer ...” May 11, 2018 Rich.C@EMPOWERgmat.com posted a reply to Mark bought a set of 6 flower pots of different sizes at a in the Problem Solving forum “Hi All, We''re told that a set of 6 flower pots of DIFFERENT sizes cost a total cost of$8.25 and that each pot cost 0.25 more than the next one below it in size. We''re asked for the cost, in dollars, of the largest pot. Although it''s not specifically stated, we''re meant to assume that we''re ...”
May 11, 2018
Brent@GMATPrepNow posted a reply to Is x = 3? in the Data Sufficiency forum
“What''s the source of this question? On the GMAT, the statements will never contradict each other. In the above question, statement 1 tells us that x definitely equals 3, and statement 2 tells us that x definitely does NOT equal 3 More on this here: ...”
May 11, 2018
Brent@GMATPrepNow posted a reply to $\frac{19^2+19}{20}=$ in the Problem Solving forum
“Notice that we can factor 19 from the numerator. (19² + 19)/20 = (19)(19 + 1)/20 = (19)(20)/20 = 19 Answer: C Cheers, Brent”
May 11, 2018
Brent@GMATPrepNow posted a reply to How many factors does 36^2 have? in the Problem Solving forum
“-------ASIDE------------------- If the prime factorization of N = (p^a)(q^b)(r^c) . . . (where p, q, r, etc are different prime numbers), then N has a total of (a+1)(b+1)(c+1)(etc) positive divisors. Example: 14000 = (2^4)(5^3)(7^1) So, the number of positive divisors of 14000 = ...”
May 11, 2018
Brent@GMATPrepNow posted a reply to If y + 40x + 2 = 0, what is the in the Data Sufficiency forum
“Target question: What is the value of xy? Given: y + 40x + 2 = 0 Rearrange to get: 40x + y = -2 IMPORTANT: We are given one linear equation. If we given a different linear equation, then we can be certain to solve the system of equations for x and y, which means we can determine the value ...”
May 11, 2018
Brent@GMATPrepNow posted a reply to The perimeter of a rectangular garden is 80 feet, and the in the Problem Solving forum
“Let W = the width of the rectangle Let L = the length of the rectangle The perimeter of a rectangular garden is 80 feet We can write: W + W + L + L = 80 Simplify to get: 2W + 2L = 80 Divide both sides by 2 to get: W + L = 40 The area of the garden is 391 square feet Area = ...”
May 11, 2018
Brent@GMATPrepNow posted a reply to A parking lot charges a flat rate of X dollars for any in the Problem Solving forum
“2 hours: cost = x dollars 3 hours: cost = x + x/6 dollars 4 hours: cost = x + x/6 + x/6 dollars 5 hours: cost = x + x/6 + x/6 + x/6 dollars 5.25 hours: cost = x + x/6 + x/6 + x/6 + x/6 dollars We must now simplify: x + x/6 + x/6 + x/6 + x/6 dollars Rewrite with common denominator: 6x/6 + ...”
May 11, 2018
Max@Math Revolution posted a new topic called If the terms of a sequence {An} are defined by An=n/100, whe in the Problem Solving forum
“n} are defined by An=n/100, where n ranges over all the integers between 101 and 200, inclusive, what is the sum of all the An? A. 150 B. 150.5 C. 151 D. 200 E. 201”
May 11, 2018
Max@Math Revolution posted a reply to When a=x+(1/x) and b=x-(1/x), what is a^2 – b^2? in the Problem Solving forum
“=> a^2 – b^2 = (a+b)(a-b) = ( x + 1/x + x – 1/x ) ( x + 1/x – ( x – 1/x ) ) = (2x)(2/x) = 4 Therefore, the answer is E. Answer : E”
May 11, 2018
Max@Math Revolution posted a new topic called What is the range of the 5 numbers x, y, 10, 15, and 20? in the Data Sufficiency forum
“[GMAT math practice question] What is the range of the 5 numbers x, y, 10, 15, and 20? 1) x and y lie between 10 and 20, inclusive. 2) The average (arithmetic mean) of the five numbers is 15”
May 11, 2018
Max@Math Revolution posted a reply to x and y are positive integers. If p and q are diff 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 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to A parking lot charges a flat rate of X dollars for any in the Problem Solving forum
“Hi All, We''re told that a parking lot charges a flat rate of X dollars for any amount of time UP to 2 hours, and X/6 hours each hour OR fraction of an hour AFTER the first two hours. We''re asked for the cost to park for 5 hours and 15 minutes. This question can be solved by TESTing VALUES. ...”
May 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to A T-shirt supplier charges $12 per T-shirt for the first 50 in the Problem Solving forum “Hi alanforde800Maximux, We''re told that a T-shirt supplier charges$12 per T-shirt for the FIRST 50 T-shirts in an order and then $10 per T-shirt for each additional T-shirt in the order and the total charge for an order of T-shirts was$1500. We''re asked for the total number of T-shirts in ...”
May 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to Three of the four vertices of a rectangle in the xy-coordina in the Problem Solving forum
“Hi alanforde800Maximux, We''re given 3 of the four vertices of a rectangle in the xy-coordinate plane: (-3, 10), ( 2, 10), and (2, 1). We''re asked for the 4th co-ordinate. Based on the three pairs of numbers, we see common X-coodinates (2) and Y-coordinates (10), meaning that the rectangle ...”
May 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to A positive integer is divisible by 3 if and only if the sum in the Problem Solving forum
“Hi alanforde800Maximux, We''re told that the six-digit integer is divisible by 3, and is of the form 1K2,K24, where K represents a digit that occurs twice. We''re asked for the number of different possible values. Using the ''rule of 3'', since 1+2+2+4 = 9 (which is a multiple of 3), the ...”
May 11, 2018
Brent@GMATPrepNow posted a reply to The system of equations above has how many solutions? in the Problem Solving forum
“Another approach is to begin solving the system (using the elimination method) and see what happens. Given: x - y = 3 2x = 2y + 6 Take bottom equation and divide both sides by 2 to get: x - y = 3 x = y + 3 Take bottom equation and subtract y from both sides to get: x - y = 3 x - y ...”
May 10, 2018
Brent@GMATPrepNow posted a reply to The system of equations above has how many solutions? in the Problem Solving forum
“Given: x - y = 3 2x = 2y + 6 Take 2x = 2y + 6 and divide both sides by 2 to get an EQUIVALENT equation x = y + 3 Now subtract y from both sides to get: to get another EQUIVALENT equation x - y = 3 Since this equation (x - y = 3) is identical to the other equation x - y = 3, we can be certain ...”
May 10, 2018
Max@Math Revolution posted a new topic called (2^5+2^6+2^7+2^8)^2=? in the Problem Solving forum
“[GMAT math practice question] $$\left(2^5+2^6+2^7+2^8\right)^2=?$$ $$A.\ 2^83^25^2$$ $$B.\ 2^{10}3^45^4$$ $$C.\ 2^{10}+2^{12}+2^{14}+2^{16}$$ $$D.\ 2^{25}+2^{36}+2^{49}+2^{64}$$ $$D.\ 2^{10}3^25^2$$”
May 10, 2018
Brent@GMATPrepNow posted a reply to Three friends rented a car for a week and divided the cost e in the Problem Solving forum
“Let''s start with a word equation: (cost per person with 4 friends) = (cost per person with 3 friends) - $15 Let T = the total cost of renting the car So, cost per person with 4 friends = T/4 And cost per person with 3 friends = T/3 We can now take our word equation and fill in the missing ...” May 10, 2018 Max@Math Revolution posted a reply to Which of the following is equal to 2^{k-1}3^{k+1}? in the Problem Solving forum “=> $$2^{^{k-1}}3^{k+1}=2^{k-1}3^{k-1}\cdot3^2=3^2\cdot\left(2\cdot3\right)^{k-1}=3^2\left(6^{k-1}\right)$$ Therefore, the answer is B. Answer: B” May 10, 2018 Max@Math Revolution posted a new topic called abc0 is a positive, four-digit integer, where a, b and c are in the Data Sufficiency forum “[GMAT math practice question] abc0 is a positive, four-digit integer, where a, b and c are 1-digit positive integers. Is abc0 divisible by 4? 1) ab is an odd number 2) bc is an odd number” May 10, 2018 Max@Math Revolution posted a new topic called abc0 is a positive, four-digit integer, where a, b and c are in the Data Sufficiency forum “[GMAT math practice question] abc0 is a positive, four-digit integer, where a, b and c are 1-digit positive integers. Is abc0 divisible by 4? 1) ab is an odd number 2) bc is an odd number” May 10, 2018 Max@Math Revolution posted a reply to 40% of the students at a school take a math class and 60% 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. This is a ...” May 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to If x and y are integers and |x-y|=12, what is the minimum in the Problem Solving forum “Hi AAPL, We''re told that X and Y are integers and |X - Y| = 12. We''re asked for the MINIMUM possible value of (X)(Y). You will likely find that a bit of ''brute force'' Arithmetic is the easiest way to get to the correct answer. To start, ALL of the answers are NEGATIVE, which means that ...” May 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to What is the x-intercept of the line with the equation in the Problem Solving forum “Hi All, We''re given the equation 2Y = 8X - 14. We''re asked for the X-intercept of that equation. For most Test Takers, solving this Algebraically would be the most straight-forward way to get to the correct answer. The answer choices are written in such a way that you can estimate the solution ...” May 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to In a certain school, the ratio of boys to girls is in the Problem Solving forum “Hi M7MBA, We''re told that in a certain school, the ratio of boys to girls is 5 to 13 and that there are 72 more girls than boys. We''re asked for the total number of boys in the school. The ratio data in this prompt can be used in a number of different ways to get the correct answer. You ...” May 10, 2018 Brent@GMATPrepNow posted a reply to C/D = 9.75 when dividing positive integer C by positive in the Problem Solving forum “IMPORTANT: There are infinitely many pairs of values of C and D that satisfy the condition that C/D = 9.75 For example, 975/100 = 9.75. In this case, C = 975 and D = 100 Likewise, 195/20 = 9.75. In this case, C = 195 and D = 20 Also, 390/40 = 9.75. In this case, C = 390 and D = 40 And 39/4 = ...” May 9, 2018 Brent@GMATPrepNow posted a reply to A salesperson for an automobile dealer earns an annual salar in the Problem Solving forum “Total earnings = (base salary) + (commission) base salary =$25,000 commission = 10% of total sales OVER $100,000 = 10% of (x -$100,000) = 0.1(x - $100,000) So, total earnings =$25,000 + 0.1(x - $100,000) Answer: E Cheers, Brent” May 9, 2018 Brent@GMATPrepNow posted a reply to When a=x+(1/x) and b=x-(1/x), what is a^2 – b^2? in the Problem Solving forum “Given: a = x + 1/x and b = x - 1/x Our goal is to find the value of a² - b² To do so, it''s useful to recognize that the expression a² - b² is a difference of squares, which means we can rewrite it. When we do this, we get: a² - b² = (a + b)(a - b) Now replace a and b with their ...” May 9, 2018 Brent@GMATPrepNow posted a reply to If snow accumulation increased at a constant rate of 30 mill in the Problem Solving forum “Let''s keep listing EQUIVALENT RATES until we get to 1 millimeter 30 millimeters per hour = 30 millimeters per 60 minutes = 30 millimeters per 3600 SECONDS = 3 millimeters per 360 SECONDS = 1 millimeter per 120 SECONDS Answer: E Cheers, Brent” May 9, 2018 Max@Math Revolution posted a new topic called When a=x+(1/x) and b=x-(1/x), what is a^2 – b^2? in the Problem Solving forum “[GMAT math practice question] When $$a=x+\frac{1}{x}\ and\ b=x-\frac{1}{x}$$ $$what\ is\ a^2-b^2$$ $$A.\ x^2+\frac{1}{^{x^2}}$$ $$B.\ x^2-\frac{1}{x^2}$$ $$C.\ 1$$ $$D.\ 2$$ $$E.\ 4$$” May 9, 2018 Max@Math Revolution posted a reply to If 5m=25^{2n}, what is the value of m, in terms of n? in the Problem Solving forum “=> $$5m=25^{2n}$$ => $$5m=\left(5^2\right)^{2n}=5^{4n}$$ => $$m=5^{4n-1}$$ Therefore, C is the answer. Answer C” May 9, 2018 Max@Math Revolution posted a new topic called x and y are positive integers. If p and q are diff in the Data Sufficiency forum “[GMAT math practice question] x and y are positive integers. If p and q are different prime numbers, what is the number of factors of p^xq^y? 1) x=2 and y=3 2) p=2 and q=3” May 9, 2018 Max@Math Revolution posted a reply to A finite sequence {An} is arithmetic. If each term An of the 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. A finite ...” May 9, 2018 Rich.C@EMPOWERgmat.com posted a reply to A point on the adge of a fan blade that is rotating in a in the Problem Solving forum “Hi All, We''re told that a fan blade is 10cm from the center of the fan (which means we have a radius of 10). We''re then told that the fan blade spins for 15 seconds (which means that we''re dealing with the circumference of a circle). We''re asked how far the point "travels" if the ...” May 9, 2018 Rich.C@EMPOWERgmat.com posted a reply to The number of sailors on a ship is 88% more than the number in the Problem Solving forum “Hi All, We''re told that the number of sailors on a ship is 88% more than the number of officers. We''re asked for the ratio of sailors to officers. This question can be solved by TESTing VALUES. IF.... Number of officers = 100 Number of sailors = 188 Thus, the ratio of sailors to ...” May 9, 2018 Rich.C@EMPOWERgmat.com posted a reply to A line segment containing the point (0,0) and (12,8) will in the Problem Solving forum “Hi M7MBA, We''re told that a line segment contains the point (0,0) and (12,8). We''re asked which of the 5 points will also be on that line. Since we''re dealing with ''line rules'', we can use the relationship between the 2 points that we''re given - and the design of the answer choices - to ...” May 9, 2018 Rich.C@EMPOWERgmat.com posted a reply to In a certain downtown office, 40 percent of the workers are in the Problem Solving forum “Hi Anaira Mitch, We''re told that in a downtown office, 40 percent of the workers are men and 60 percent are women and of the male workers, 30 percent drive to work and the rest take the train, while ALL of the female workers drive to work. We''re asked for the percent of workers who take the ...” May 9, 2018 Brent@GMATPrepNow posted a reply to In the Land of OZ only one or two-letter words are used. in the Problem Solving forum “6 6 as its units digit ] Likewise 65² = (65)(65) = ----5 So, we get: The number of words lost = 6 + ---6] - 5 + ----5] = (------2) - (----0) = ------2 Since only answer choice E has a units digit of 2, the correct answer must be E Cheers, Brent” May 8, 2018 Brent@GMATPrepNow posted a reply to If a,b,x, and y are positive integers, is a^-x > b^-y? ( in the Data Sufficiency forum “Target question: Is a^(-x) > b^(-y)? This is a great candidate for rephrasing the target question. Aside: Here’s a video with tips on rephrasing the target question: First recognize the following: a^(-x) = 1/(a^x) and b^(-y) = 1/(b^y) So, we can ask Is 1/(a^x) > 1/(b^y)? Also, ...” May 8, 2018 Brent@GMATPrepNow posted a reply to Two integers will be randomly selected from sets A and B, in the Problem Solving forum “Take the task of creating products and break it into stages. Stage 1: Select a number from set A There are 5 numbers to choose from, so we can complete stage 1 in 5 ways Stage 2: Select a number from set B There are 4 numbers to choose from, so we can complete stage 2 in 4 ways By the ...” May 8, 2018 Brent@GMATPrepNow posted a reply to For an integer n greater than 1, n* denotes the product of in the Problem Solving forum “7* = 7! = (7)(6)(5)(4)(3)(2)(1) So, 7* + 2 = (7)(6)(5)(4)(3)(2)(1) + 2 = 22 So, 7* + 2 is NOT a prime number 7* + 3 = (7)(6)(5)(4)(3)(2)(1) + 3 = 33 So, 7* + 3 is NOT a prime number 7* + 4 = (7)(6)(5)(4)(3)(2)(1) + 4 = 44 So, 7* + 4 is NOT a prime number . . . . 7* + 7 = ...” May 8, 2018 Max@Math Revolution posted a new topic called Which of the following is equal to 2^{k-1}3^{k+1}? in the Problem Solving forum “[GMAT math practice question] Which of the following is equal to $$^{2^{k-1}3^{k+1}}?$$ $$A.\ 2^2\left(6^{k-1}\right)$$ $$B.\ 3^2\left(6^{k-1}\right)$$ $$C.\ 6\left(2^{k-1}\right)$$ $$D.\ 6\left(3^{k-1}\right)$$ $$E.\ 6^{k-1}$$” May 8, 2018 Max@Math Revolution posted a new topic called 40% of the students at a school take a math class and 60% of in the Data Sufficiency forum “[GMAT math practice question] 40% of the students at a school take a math class and 60% of the school’s students take a physics class. What percent of students at the school take a math class, but not a physics class? 1) 25% of students take both a math class and a physics class. 2) 25% ...” May 8, 2018 Rich.C@EMPOWERgmat.com posted a reply to In a class of 200 students, 120 study Spanish and 100 study in the Problem Solving forum “Hi AAPL, We''re told that in a class of 200 students, 120 study Spanish and 100 study French and each student must study AT LEAST one of these two languages. We''re asked for the percent of the students that study French but NOT Spanish. This question is a variation on a standard Overlapping ...” May 7, 2018 Brent@GMATPrepNow posted a reply to Is x > y? in the Data Sufficiency forum “Target question: Is x > y? Statement 1: 6x > 5y This statement doesn''t FEEL sufficient, so I''ll TEST some values. There are several values of x and y that satisfy statement 1. Here are two: Case a: x = 1 and y = -1. Notice that 6x > 5y becomes 6 > -5, which is true. In this ...” May 7, 2018 Brent@GMATPrepNow posted a reply to If 5m=25^{2n}, what is the value of m, in terms of n? in the Problem Solving forum “Given: 5m = 25^(2n) Rewrite 25 as 5² to get: 5m = (5²)^(2n) Apply power of a power law to get: 5m = 5^(4n) Divide both sides by 5 to get: m = [5^(4n)]/5 Since 5 = 5¹, we get: : m = [5^(4n)]/(5¹) Apply quotient law to get: m = 5^(4n - 1) Answer: C Cheers, Brent” May 7, 2018 Max@Math Revolution posted a new topic called A finite sequence {An} is arithmetic. If each term An of the in the Data Sufficiency forum “n} is arithmetic. If each term An of the sequence is an integer, is the average (arithmetic mean) of the terms of {An} an even number? 1) All of the terms are even numbers. 2) The number of terms is an odd number” May 7, 2018 Max@Math Revolution posted a new topic called If 5m=25^{2n}, what is the value of m, in terms of n? in the Problem Solving forum “[GMAT math practice question] If 5m=25^{2n}, what is the value of m, in terms of n? A. m=5^{3n-2} B. m=25n C. m=5^{4n-1} D. m=5^{2n-1} E. m=5n” May 7, 2018 Max@Math Revolution posted a reply to If x is the sum of the first 10 positive multiples of 3 and in the Problem Solving forum “=> x – y = ( 3 + 6 + 9 + … + 30 ) - ( 2 + 4 + 6 + … + 20 ) = 3(1 + 2 + … + 10 ) – 2( 1 + 2 + 3 + … + 10 ) = ( 3 – 2 ) ( 1 + 2 + 3 + … + 10 ) = 55 = 5 * 11 Therefore, the answer is C. Answer: C” May 7, 2018 Max@Math Revolution posted a reply to How many multiples of 4 lie between 4^4 and 4^5, inclusive? in the Problem Solving forum “=> Since we are including the end points, the number of multiples of 4 is ( 4^5 – 4^4 ) / 4 + 1 = 4^4(4-1)/4 + 1 = 4^3*3 + 1 = 64 * 3 + 1 = 193. Therefore, D is the answer. Answer : D” May 7, 2018 Max@Math Revolution posted a reply to If x and y are positive integers and x>y, is x/y an 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. Since we ...” May 7, 2018 Max@Math Revolution posted a reply to If x is a positive integer, is x/30 a terminating decimal? 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 7, 2018 Brent@GMATPrepNow posted a reply to Is y = 7? in the Data Sufficiency forum “Target question: Is y = 7? Statement 1: x - 4 = 0 In other words, x = 4 Since we have no information about y, statement 1 is NOT SUFFICIENT Statement 2: (x - 3)(y - 7) = 0 This tells us that EITHER x = 3 OR y = 7 So, y COULD equal 7, or y might not equal 7 For example, consider ...” May 6, 2018 Brent@GMATPrepNow posted a reply to W, X, Y and Z each represent a different number in the Problem Solving forum “I believe Mitch has provided the best/fastest approach. Cheers, Brent” May 6, 2018 Brent@GMATPrepNow posted a reply to If a car went the first third of the distance at 80 kmh in the Problem Solving forum “Here''s an algebraic approach: Let d = 1/3 of the total distance traveled So, the car traveled d km at 80 kmh, then the car traveled d km at 24 kmh, and then d km at 48 kmh Average speed = (total distance traveled)/(total travel time) Total distance traveled = d + d + d = 3d time = ...” May 6, 2018 Brent@GMATPrepNow posted a reply to Sheila works 8 hours per day on Monday, Wednesday and Friday in the Problem Solving forum “We can avoid long division if we make an important observation. Let''s take it from the point were you got: earning per hour =$324/36 You might notice that $360/36 =$10 Also notice that $324 =$360 - $36 So,$324/36 = ( $360 -$36)/36 = $360/36 -$36/36 = 10 - 1 = 9 = Answer choice C ...”
May 6, 2018
Brent@GMATPrepNow posted a reply to In a certain school, the ratio of boys to girls is in the Problem Solving forum
“Another approach: Let B = # of boys Let G = # of girls The ratio of boys to girls is 5 to 13. We can write: B/G = 5/13 Cross multiply to get: 13B = 5G There are 72 more girls than boys We can write G = B + 72 Alternatively, we can write: G - 72 = B We now have two equations: 13B = ...”
May 6, 2018
Brent@GMATPrepNow posted a reply to In a certain school, the ratio of boys to girls is in the Problem Solving forum
“One approach: GIVEN: the ratio of boys to girls is 5 to 13 There are several possible cases that meet this condition: - there are 5 boys and 13 girls - there are 10 boys and 26 girls - there are 15 boys and 39 girls . . . NOTE: We''re also told that there are 72 more girls than ...”
May 6, 2018
ceilidh.erickson posted a reply to If n = (33)^43 + (43)^33 what is the units digit of n? in the Problem Solving forum
“As Mitch described, finding the pattern in units digits is the key to solving this problem. For more practice on this concept, see: https://www.beatthegmat.com/what-is-the-units-digit-of-a18-a2-has-a-units-d-t159505.html#554073 ...”
May 5, 2018
ceilidh.erickson posted a reply to For any real number x, the operator & is defined as in the Problem Solving forum
“Quite often on this type of problem, testing the answer choices is a good option. The other posters have all given you the (identical) algebraic solution, so here''s what answer testing would look like: A. p = −1 p + 1 = -1 + 1 = 0 &(p + 1) = (p + 1)(1 - (p + 1)) --> (-1 + 1)(1 - (-1 + ...”
May 5, 2018
Brent@GMATPrepNow posted a reply to If $936 are divided bettween worker A and B in the ratio in the Problem Solving forum “Your solution is perfect. I''d just like to point out how get convert 7/12 to a percent. As you''ve shown, to convert a fraction to a percent, we convert to a decimal and multiply it by 100 So, (7/12)(100) = 700/12 = 350/6 = 175/3 = 58 1/3 = 58 + 0.333333.... = 58.333333....% As you ...” May 5, 2018 Rich.C@EMPOWERgmat.com posted a reply to In a room filled with 7 people, 4 people phave exactly 1 in the Problem Solving forum “Hi All, Brent''s approach focuses on the use of the Combination Formula, which is probably the most "elegant" way to solve this problem. There are other ways to solve this problem though, if you''re not yet comfortable with doing that type of math. Here''s an option that focuses on ...” May 5, 2018 Brent@GMATPrepNow posted a reply to A discount of 20 percent on an order of goods in the Problem Solving forum “Let''s start with a nice number Let$100 be the ORIGINAL price. So, a 20% discount on $100 =$20, which means the discounted price = $100 -$20 = $80 Next, a 20% discount on$80 = $16, which means the NEW discounted price =$80- $16 =$64 So, if the ORIGINAL price = $100, the DOUBLE ...” May 4, 2018 Brent@GMATPrepNow posted a reply to In a room filled with 7 people, 4 people phave exactly 1 in the Problem Solving forum “First we need to recognize that the given information tells us that the 7 people consist of: - a sibling trio - a sibling pair - and another sibling pair Using counting techniques: For this question, it''s easier to find the complement. So P(not siblings) = 1 - P(they are siblings) ...” May 4, 2018 Brent@GMATPrepNow posted a reply to If c and f are integers, is zc > zf? in the Data Sufficiency forum “Target question: Is zc > zf? Statement 1: z³c > z³f This tells us that z ≠ 0 It also means that z² > 0 Since z² is POSITIVE, we can safely divide both sides of the statement 2 inequality by z² to get: xc > zf PERFECT!! The answer to the target question is YES, xc IS ...” May 4, 2018 Brent@GMATPrepNow posted a reply to If x and y are positive integers and x>y, is x/y an integ in the Data Sufficiency forum “Target question: Is x/y an integer? Given: x and y are positive integers and x>y Statement 1: x is a multiple of 10 No information about y. Statement 1 is NOT SUFFICIENT Statement 2: y is a multiple of 2 No information about x. Statement 2 is NOT SUFFICIENT Statements 1 ...” May 4, 2018 Brent@GMATPrepNow posted a reply to If x is the sum of the first 10 positive multiples of 3 and in the Problem Solving forum “x is the sum of the first 10 positive multiples of 3 So, x = 3 + 6 + 9 + 12 + .... Factor out the 3 to get: x = 3(1 + 2 + 3 + 4 + . . . . + 9 + 10) y is the sum of the first 10 positive multiples of 2 So, y = 2 + 4 +6 + 8 + 10 + ... Factor out the 2 to get: y = 2(1 + 2 + 3 + 4 + . . . . + 9 + ...” May 4, 2018 Max@Math Revolution posted a new topic called If x is the sum of the first 10 positive multiples of 3 and in the Problem Solving forum “[GMAT math practice question] If x is the sum of the first 10 positive multiples of 3 and y is the sum of the first 10 positive multiples of 2, which of the following is a factor of x – y? A. 20 B. 35 C. 55 D. 75 E. 90” May 4, 2018 Max@Math Revolution posted a reply to The distance between Alice’s house and Bob's is 120 miles. in the Problem Solving forum “=> Let v be Bob’s speed, and let t be the time they take to reach their meeting point. Then xt = 40 and vt = 120 – 40 = 80. Bob travels 80 miles in the time it takes Alice to travel 40 miles. Thus, Bob’s speed is twice Alice’s speed. In terms of x, this is 2x. Therefore, ...” May 4, 2018 Max@Math Revolution posted a new topic called If x and y are positive integers and x>y, is x/y an integer? in the Data Sufficiency forum “[GMAT math practice question] If x and y are positive integers and x>y, is x/y an integer? 1) x is a multiple of 10 2) y is a multiple of 2” May 4, 2018 Max@Math Revolution posted a reply to If x and y are positive integers, what is the remainder when in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” May 4, 2018 Rich.C@EMPOWERgmat.com posted a reply to What is the largest integer if the sum of three consecutive in the Problem Solving forum “Hi All, We''re told that we have a group of 3 CONSECUTIVE, EVEN integers with a sum of 318. We''re asked for the LARGEST integer. This question can be solved in number of different ways, including by TESTing THE ANSWERS. Since 318 is well above 300 - and the integers are consecutive even ...” May 4, 2018 Rich.C@EMPOWERgmat.com posted a reply to Some fourth graders are choosing foursquare teams at in the Problem Solving forum “Hi VJesus12, We''re asked for the total possible number of combinations of four-person foursquare teams that could be chosen from a group of six kids. I agree with Brent''s assessment (it''s not perfectly clear whether we''re supposed to be treating this question as a Permutation or a ...” May 4, 2018 Rich.C@EMPOWERgmat.com posted a reply to Given that N=a3b4c5 where a, b and c are distinct prime in the Problem Solving forum “Hi ideree, This question is built around a few Number Properties involving exponents. For a number to be a perfect square, all of the "exponent terms" must be EVEN. for example…. 25 is a perfect square because 25 = 5^2 16 is a perfect square because 16 = 4^2 = 2^4 For a ...” May 4, 2018 Rich.C@EMPOWERgmat.com posted a reply to 12 years out of college, GMAT study plan? in the GMAT Strategy forum “Hi KDR83, To start, a 560 is a solid performance for an initial CAT (the average score on the Official GMAT hovers around 540-550 most years). You''ve also given yourself plenty of time to study - which is good. That having been said, to hit 680+, you will have to make significant improvements to ...” May 4, 2018 Brent@GMATPrepNow posted a reply to Five percent of a certain grass seed is timothy. If the in the Problem Solving forum “We have 240 pounds of the seed mixture, and 5% of the mixture is timothy. So: TOTAL weight of timothy = 5% of 240 pounds = 12 pounds So, we there are 12 pounds of timothy in the mixture, and 2 pounds of timothy is needed for 1 acre This means 4 pounds of timothy is needed for 2 acres And 6 ...” May 3, 2018 Brent@GMATPrepNow posted a reply to Some fourth graders are choosing foursquare teams at in the Problem Solving forum “This is a somewhat ambiguous question since it''s hard to tell whether each team member''s position matters. For example, if the question were rephrased to ask how many 9-person baseball teams can be created from 9 people, we might say the correct answer is 1. However, if we consider the ...” May 3, 2018 Brent@GMATPrepNow posted a reply to What is the largest integer if the sum of three consecutive in the Problem Solving forum “Let x = the smallest value So, x + 2 = the middle value And x + 4 = the biggest value The sum is 318 So, we can write x + (x+2) + (x+4) = 318 Simplify: 3x + 6 = 318 Subtract 6 from both sides to get: 3x = 312 Solve: x = 104 So, the SMALLEST value = 104 This means 106 is the MIDDLE value ...” May 3, 2018 Brent@GMATPrepNow posted a reply to What is the units digit of 36^y? (A) y is a positive in the Data Sufficiency forum “Target question: What is the units digit of 36^y? Statement 1: y is a positive integer So, y = 1 or 2 or 3 or 4 or 5 or... Notice that 36^1 = 36 (units digit = 6) Notice that 36^2 = ---6 (units digit = 6) Notice that 36^3 = ---6 (units digit = 6) Notice that 36^4 = ---6 (units digit = 6) ...” May 3, 2018 Brent@GMATPrepNow posted a reply to A group of 8 friends want to play doubles tennis. in the Problem Solving forum “Let the 8 people be: A, B, C, D, E, F, G, and H Take the task of creating the teams and break it into stages. Stage 1: Select a partner for person A There are 7 people to choose from, so we can complete stage 1 in 7 ways ASIDE: There are now 6 people remaining. Each time we pair up two ...” May 3, 2018 Brent@GMATPrepNow posted a reply to George tried to compute the mean average of his 8 test in the Problem Solving forum “Let T = the sum of all of George''s test scores. George divided the sum of his test scores by 7 to get 96. So we get: T/7 = 96 Multiply both sides by 7 to get: T = (96)(7) To get the ACTUAL average, George SHOULD have divided the sum of his test scores by 8 So, ACTUAL average = T/8 = ...” May 3, 2018 ceilidh.erickson posted a reply to President Obama got to know about the killings in Siberia in the Sentence Correction forum “This is a pretty terrible example of an SC practice question. For one, no one says "chiefs of staff meeting." That is not the correct phrase in American English (which, for better or worse, is what the GMAT tests). We would saying "during a meeting with his chief of staff" ...” May 3, 2018 ceilidh.erickson posted a reply to 12 years out of college, GMAT study plan? in the GMAT Strategy forum “If you have the Manhattan Prep books and an OG, you have everything you need to get a top GMAT score. Here''s what you should do: 1. Analyze the practice test you''ve taken in a lot of depth. Which areas were you weakest? Strongest? Fastest? Slowest? Decide which topics and question types ...” May 3, 2018 ceilidh.erickson posted a reply to From the earliest days of the tribe, kinship determined in the Sentence Correction forum “This question is #7 from the OG Verbal Review 2015. Please cite your sources. This question is testing PARALLELISM and PRONOUNS. The parallel list is: ... the way in which the Ojibwa society 1. organized its labor, 2. provided access to its resources, and 3. defined rights and obligations... ...” May 3, 2018 Brent@GMATPrepNow posted a reply to For all positive integers m and n, the expression m X n in the Problem Solving forum “19∆9 = the remainder when (19+9) is divided by (19-9) = the remainder when 28 is divided by 10 = 8 So, (19∆9)∆2 = 8∆2 = the remainder when (8+2) is divided by (8-2) = the remainder when 10 is divided by 6 = 4 ------------------------------------------------------------- 9∆2 = the ...” May 3, 2018 Brent@GMATPrepNow posted a reply to If x is a positive integer, is x/30 a terminating decimal? in the Data Sufficiency forum “Target question: Is x/30 a terminating decimal? This is a good candidate for rephrasing the target question. -------------ASIDE------------------ Let''s say that x = a/b where the fraction a/b is written in simplest terms. There''s a nice rule that says something like, If a/b results in a ...” May 3, 2018 Brent@GMATPrepNow posted a reply to How many odd three-digit integers greater than 800 are there in the Problem Solving forum “Here''s a similar one to practice with: http://www.beatthegmat.com/counting-a-3-digit-number-greater-than-700-t288550.html Cheers, Brent” May 3, 2018 Brent@GMATPrepNow posted a reply to How many multiples of 4 lie between 4^4 and 4^5, inclusive? in the Problem Solving forum “Mitch used the same approach I would have used, so here''s a different solution. 4^4 = (4³)(4) = (64)(4) 4^5 = (4⁴)(4) = (256)(4) So, we want the multiples of 4 from (64)(4) to (256)(4) inclusive. The multiples of 4 are: (64)(4), (65)(4), (66)(4), (67)(4), (68)(4), . . . (256)(4) A ...” May 3, 2018 Max@Math Revolution posted a new topic called How many multiples of 4 lie between 4^4 and 4^5, inclusive? in the Problem Solving forum “[GMAT math practice question] How many multiples of 4 lie between 4^4 and 4^5, inclusive? A. 128 B. 129 C. 192 D. 193 E. 256” May 3, 2018 Max@Math Revolution posted a reply to Working alone at its constant rate, machine A can complete a in the Problem Solving forum “=> Suppose W is the total amount of work required to do the job and that RA and RB are the work rates of machines A and B, respectively. Then the original condition tells us that RB = (1/2)RA. Since machine A worked on the job for 6 hours, 1/4 of the job has been done, and (3/4)W is left. ...” May 3, 2018 Max@Math Revolution posted a new topic called If x is a positive integer, is x/30 a terminating decimal? in the Data Sufficiency forum “[GMAT math practice question] If x is a positive integer, is x/30 a terminating decimal? 1) x is divisible by 3 2) x is divisible by 4” May 3, 2018 Max@Math Revolution posted a reply to Four values from a data set of 5 elements are 10, 10, 11, an 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 3, 2018 Brent@GMATPrepNow posted a reply to If 25(5^x) = 1 then x= in the Problem Solving forum “Given: (25)(5^x) = 1 Divide both sides by 25 to get: 5^x = 1/25 (aka 1/5²) Rewrite 1/25 as 5^(-2) to get: 5^x = 5^(-2) So, x = -2 Answer: A Cheers, Brent” May 2, 2018 Rich.C@EMPOWERgmat.com posted a reply to In an electric circuit, two resistors with resistances x and in the Problem Solving forum “Hi All, This question can be solved with TESTing Values. We''re told that the reciprocal of R is equal to the SUM of the reciprocals of X and Y. This means…. 1/R = 1/X + 1/Y We''re asked for the value of R in terms of X and Y If X = 2 and Y = 3, then we have… 1/R = 1/2 + 1/3 ...” May 2, 2018 Rich.C@EMPOWERgmat.com posted a reply to A lighting store is stocked with 410 fixtures. Some of the in the Problem Solving forum “Hi swerve, We''re told that a lighting store is stocked with 410 fixtures - some of the fixtures are floor lamps and the rest are table lamps and 5% of the floor lamps and 30% of the table lamps are imported. We''re asked for the SMALLEST possible number of imported lamps stocked at the store. ...” May 2, 2018 Brent@GMATPrepNow posted a reply to The distance between Alice’s house and Bob's is 120 miles. in the Problem Solving forum “The correct answer is showing up as B Upon re-reading the question, we can see that it''s somewhat ambiguous, because it doesn''t specify where Alice and Bob are when they begin their journeys (although I also assumed that Alice started at her own house and Bob started at his own house). If each ...” May 2, 2018 Brent@GMATPrepNow posted a reply to Larry can build a model car in 3 hours, Moe can build the in the Problem Solving forum “Your approach (of assigning a nice value to the job) is perfect. Here''s another approach.... RULE: If a person can complete an entire job in k hours, then in ONE HOUR, the person can complete 1/k of the job Example: If it takes Sue 5 hours to complete a job, then in ONE HOUR, she can complete ...” May 2, 2018 Brent@GMATPrepNow posted a reply to is p prime number in the Data Sufficiency forum “Target question: Is p a prime number? Given: p is an integer greater than 1 Statement 1: p is a factor of 13 The only positive factors of 13 are 1 and 13 Since we''re told that p is greater than 1, we can conclude that p MUST equal 13 So, the answer to the target question is YES, p IS ...” May 2, 2018 Brent@GMATPrepNow posted a reply to If x and y are positive integers, what is the remainder when in the Data Sufficiency forum “Target question: What is the remainder when x+y is divided by 2? Statement 1: xy is divisible by 4 Let''s TEST some values. There are several values of x and y that satisfy statement 1. Here are two: Case a: x = 2 and y = 4. Here xy = (2)(4) = 8, and 8 is divisible by 4. In this case, x +y ...” May 2, 2018 Max@Math Revolution posted a new topic called The distance between Alice’s house and Bob''s is 120 miles. A in the Problem Solving forum “[GMAT math practice question] The distance between Alice’s house and Bob''s is 120 miles. Alice and Bob travel in opposite directions along the same road, starting at the same time. They meet at a place that is 40 miles away from Alice’s house. If Alice’s velocity is x miles per hour, ...” May 2, 2018 Max@Math Revolution posted a reply to If the profit on a product is 20 percent of its sales price, in the Problem Solving forum “=> Let P, R and C be the profit, the sales price (revenue) and the cost price of the product, respectively. Then P = R – C. Since P is 20 percent of the sales price, the IVY method tells us that P = 20*(1/100)*R. So, P = (1/5)R or R = 5P. Plugging this into P = R – C yields P = 5P – ...” May 2, 2018 Max@Math Revolution posted a new topic called If x and y are positive integers, what is the remainder when in the Data Sufficiency forum “[GMAT math practice question] If x and y are positive integers, what is the remainder when x+y is divided by 2? 1) xy is divisible by 4 2) y is divisible by 2” May 2, 2018 Max@Math Revolution posted a reply to On the number line, 0 lies between x and y. 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 ...” May 2, 2018 Rich.C@EMPOWERgmat.com posted a reply to If the volume of a cube is x^3 cubic units, what is the in the Problem Solving forum “Hi swerve, We''re told that the volume of a cube is X^3 cubic units. We''re asked for the number of SQUARE units in the SURFACE AREA of the cube. This question can be solved in a couple of different ways, including by TESTing VALUES. IF... X = 2, then we have a 2x2x2 cube. Each surface of ...” May 1, 2018 Rich.C@EMPOWERgmat.com posted a reply to Need to prepare for GMAT but I don't have a lot of money... in the GMAT Strategy forum “Hi Farah_1995, Potentially using your Official GMAT Score to apply to two different Programs over the next 5 years is a smart choice. To get started, here is the link to mba.com where you can take your initial practice CATs using the new online interface: ...” May 1, 2018 Brent@GMATPrepNow posted a reply to When a positive integer n is divided by 29, what is the in the Data Sufficiency forum “Target question: What is the remainder when n is divided by 29? Statement 1: n-5 is divisible by 29 So, we can say that: n-5 = 29k for some integer k Add 5 to both sides of the equation to get: n = 29k + 5 We can see that n is 5 greater than some multiple of 29 So, if we divide n by 29, ...” May 1, 2018 Brent@GMATPrepNow posted a reply to In the figure below, the area of triangle PQR is 40. in the Problem Solving forum “We can see that: (area of ∆PQS) + (area of ∆QRS) = (area of ∆PQR) So, we can write: (area of ∆PQS) + (area of ∆QRS) = 40 We also have enough information to determine the area of ∆PQS Area of triangle = (base)(height)/2 So, area of ∆PQS = (5)(6)/2 = 30/2 = 15 Now add this ...” May 1, 2018 Brent@GMATPrepNow posted a reply to Four values from a data set of 5 elements are 10, 10, 11, an in the Data Sufficiency forum “Let''s say that x = the missing data value Target question: What is the value of x? Given: The other 4 values are 10, 10, 11 and 11 Statement 1: The range of the data set is 2 So, (the biggest value) - (the smallest value) = 2 The problem here is that x COULD be the smallest value, ...” May 1, 2018 ceilidh.erickson posted a reply to Need to prepare for GMAT but I don't have a lot of money... in the GMAT Strategy forum “It''s certainly possible to study on your own without spending a lot of money on prep programs. Here are the things that you absolutely must budget for: - a copy of the Official Guide (OG). You can buy used ones online, and it doesn''t matter which edition you get. Ignore Amazon reviews. Buy ...” May 1, 2018 ceilidh.erickson posted a reply to 2018 edition OG suggested question list in the I just Beat The GMAT! forum “We no longer print the question lists in our books because GMAC prints a new edition of the OG every year, and we cannot reprint our books every year. Instead, you should use our GMAT Navigator dashboard: https://www.manhattanprep.com/gmat/store/online-resources/gmat-navigator/ You can search for ...” May 1, 2018 ceilidh.erickson posted a reply to A recent study indicates that the powerful effects of random in the Sentence Correction forum “This question is testing SUBJECT-VERB AGREEMENT, MODIFIERS, PARALLELISM and MEANING. First, break down the meaning of the sentence: - there was a recent study. It indicated that the effect of random reinforcement were no longer limited to 3 things: casinos, test subjects, and stock market - the ...” May 1, 2018 Brent@GMATPrepNow posted a reply to Working alone at its constant rate, machine A can complete a in the Problem Solving forum “Working alone at its constant rate, machine A can complete a job in 24 hours. The work rate of machine B is 1/2 that of machine A. So, it must take Machine B 48 hours to complete the job. Now let''s assign a nice value to the job. That is, we''ll assign a value that works well with 24 hours ...” May 1, 2018 Max@Math Revolution posted a new topic called Working alone at its constant rate, machine A can complete a in the Problem Solving forum “[GMAT math practice question] Working alone at its constant rate, machine A can complete a job in 24 hours. The work rate of machine B is 1/2 that of machine A. If machine A works on the job for 6 hours and machine B completes the job, how long does it take machine B to finish the job? A. ...” May 1, 2018 Max@Math Revolution posted a new topic called Four values from a data set of 5 elements are 10, 10, 11, an in the Data Sufficiency forum “[GMAT math practice question] Four values from a data set of 5 elements are 10, 10, 11, and 11. What is the fifth data value? 1) The range of the data set is 2 2) The average of the data values is greater than 10” May 1, 2018 Brent@GMATPrepNow posted a reply to A rectangular wall is completely filled with square tiles of in the Problem Solving forum “. . . and no tiles with a common side are the same color To meet this condition, it MUST be the case that the yellow and orange squares are arranged in a checkerboard pattern. In such a checkerboard pattern, the colors alternate yellow, orange, yellow, orange, yellow, orange etc This means half ...” April 30, 2018 Brent@GMATPrepNow posted a reply to In an electric circuit, two resistors with resistances x and in the Problem Solving forum “The reciprocal of r is equal to the sum of the reciprocals of x and y So, 1/r = 1/x + 1/y We must solve this equation for r. Take: 1/r = 1/x + 1/y Rewrite the right side with a COMMON DENOMINATOR of xy: 1/r = y/xy + x/xy Combine the two terms to get: 1/r = (y + x)/xy Since we have two ...” April 30, 2018 Rich.C@EMPOWERgmat.com posted a reply to During one day, a door-to-door salesman sold three fourths in the Problem Solving forum “Hi AAPL, We''re told that a brick salesman sold 3/4 of his bricks for$0.25 each and that he had 150 bricks left at the end of the day. We''re asked for the amount of money that he collected for brick sales that day. Most Test Takers will calculate the number of bricks sold and then multiply ...”
April 30, 2018
Brent@GMATPrepNow posted a reply to The minimum of the integers x, y, and z is 10 and their aver in the Problem Solving forum
“Key concept: If we know the sum of a set of numbers, and we want to MAXIMIZE the biggest number in the set, we must MINIMIZE all of the other numbers. GIVEN: Average of x, y, and z is 11 So, (x + y + z)/3 = 33 This means x + y + z = 33 Great! We know the sum of the values. In order to ...”
April 30, 2018
Brent@GMATPrepNow posted a reply to During one day, a door-to-door salesman sold three fourths in the Problem Solving forum
“If 3/4 of the bricks were SOLD, then the remaining bricks (1/4 of the bricks) were NOT SOLD. If 150 = 1/4 of the bricks, then 450 = 3/4 of the bricks In other words, the salesman sold 450 bricks If 450 bricks were sold at $0.25, then the money collected = (450)($0.25) = $112.50 Answer: D ...” April 30, 2018 Brent@GMATPrepNow posted a reply to If the profit on a product is 20 percent of its sales price, in the Problem Solving forum “Choosing numbers that satisfy the given conditions (as others above have done) is the best/fastest approach. Here''s a (longer) algebraic approach. Let SALE price = x So, PROFIT = 20% of x = 0.2x COST PRICE = SALE PRICE - PROFIT = x - 0.2x = 0.8x What percent is the profit of the ...” April 30, 2018 Brent@GMATPrepNow posted a reply to Double matrix method in the Data Sufficiency forum “This question type (overlapping sets) is VERY COMMON on the GMAT, so be sure to master the Double Matrix Method. Here''s a video covering the strategy: Easy Problem Solving questions - http://www.beatthegmat.com/finance-majors-non-finance-majors-overlapping-set-question-t167425.html Medium ...” April 30, 2018 Brent@GMATPrepNow posted a reply to Mud from a lake on an uninhabited wooded island in the Critical Reasoning forum “PREMISE: Island lake contains toxic chemicals PREMISE: The chemicals were not dumped in the lake, and water from Lake Superior cannot reach the lake We want to find the most reasonable conclusion that follows from this information (A) The waters of the island lake are more severely polluted ...” April 30, 2018 Max@Math Revolution posted a new topic called If the profit on a product is 20 percent of its sales price, in the Problem Solving forum “[GMAT math practice question] If the profit on a product is 20 percent of its sales price, what percent is the profit of the cost price? A. 20% B. 25% C. 30% D. 33+(1/3)% E. 35%” April 30, 2018 Max@Math Revolution posted a new topic called On the number line, 0 lies between x and y. Is x>y? in the Data Sufficiency forum “[GMAT math practice question] On the number line, 0 lies between x and y. Is x > y? 1) The distance between x and 0 is 2 times the distance between y and 0 2) x+y > 0” April 30, 2018 Max@Math Revolution posted a reply to If x is the sum of all odd numbers between 1001 and 2000, in in the Problem Solving forum “=> x = 1001 + 1003 + 1005 + … + 1999 y = 1002 + 1004 + 1006 + … + 2000 x – y = ( 1001 – 1002 ) + ( 1003 – 1004 ) + … + ( 1999 – 2000 ) = (-1) + (-1) + … + (-1) = (-1) * 500 = -500 Therefore, the answer is B. Answer: B ” April 30, 2018 Max@Math Revolution posted a reply to The minimum of the integers x, y, and z is 10 and their aver in the Problem Solving forum “=> Assume x ≤ y ≤ z. ( x + y + z ) / 3 = 11 and x = 10 We have 10 + y + z = 33 or y + z = 23. In order to have the greatest maximum number, y must be the minimum which is 10. 10 + z = 23. z = 13. Therefore, D is the answer. Answer : D” April 30, 2018 Max@Math Revolution posted a reply to Alice works from Monday to Friday only. How many 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, 2018 Max@Math Revolution posted a reply to Is median of a, b and c equal to their average (arithmetic m in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” April 30, 2018 Rich.C@EMPOWERgmat.com posted a reply to If p and q are positive integers such in the Data Sufficiency forum “Hi M7MBA, It looks like the prompt that you posted is incomplete. Here is the full version: If p and q are positive integers such that pq has exactly 4 unique positive factors and p < q, what is the value of the integer p? (1) The sum of p and q is an odd integer. (2) The difference ...” April 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to Rates for having a manuscript typed at a certain typing in the Problem Solving forum “Hi All, We''re told that rates for having a manuscript typed at a certain typing service are$5 per page for the first a page is typed and $3 per page each time a page is REVISED - and a certain manuscrpt has 100 pages, of which 40 were revised only ONCE, 10 were revised TWICE, and the rest ...” April 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to At Pete's Pet Shop, 35 cups of bird seed are used every in the Problem Solving forum “Hi All, We''re told that 35 cups of birdseed are used every 7 days to feed 15 parakeets. We''re asked for the number of cups of birdseed needed to feed 9 parakeets for 12 days. In these types of rate questions, it often helps to think in terms of the ''totals'' involved and then work ...” April 29, 2018 Brent@GMATPrepNow posted a reply to If a certain dog ate 1/5 of his food on a certain day in the Problem Solving forum “Your approach is great. Another approach would be to choose some numbers that satisfy the given conditions. . . . a certain dog ate 1/5 of his food on a certain day So, let''s say the dog had 5 pounds of food available. If the dog ate 1/5 of its food, then it ate 1/5 of 5 pounds. So, the ...” April 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to Car A and car B are driving towards each other along in the Problem Solving forum “Hi swerve, We''re told that Car A and car B are driving towards each other along straight line, Car A travels at a constant speed of 60 miles/hr, car B travels at a constant speed of 40 miles/hr and at NOON they are separated by a distance of 300 miles. We''re asked for the time at which they ...” April 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to In a group of 20 people, 5 of them belong to the golf in the Problem Solving forum “Hi swerve, We''re told that in a group of 20 people, 5 of them belong to the golf club, 7 to the swim club, and 9 to the tennis club, 2 of the people belong to ALL three clubs and 3 belong to EXACTLY two of the three clubs. We''re asked for the number of people who belong to none of the three ...” April 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to What's next?? in the I just Beat The GMAT! forum “Hi targetmba6, The process of applying to (and ultimately attending) Business School will require a big investment of time, money and energy on your part, so you really should make sure that the Programs that you apply to match your career goals/needs. There are a variety of factors that go into ...” April 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to 2018 edition OG suggested question list in the I just Beat The GMAT! forum “Hi Sagar, If you''re looking for MGMAT''s recommended practice sets from the OG2018, then you might want to reach out directly to that Company''s representatives and ask. MGMAT has a forum here: https://www.beatthegmat.com/ask-a-manhattan-prep-representative-f38.html Beyond that issue, ...” April 29, 2018 Brent@GMATPrepNow posted a reply to Is positive integer z greater than 275? in the Data Sufficiency forum “Target question: Is positive integer z greater than 275? Statement 1: z is a multiple of 21 Let''s TEST some values. There are several values of z that satisfy statement 1. Here are two: Case a: z = 21, in which case, the answer to the target question is NO, z is NOT greater than 275 ...” April 28, 2018 Rich.C@EMPOWERgmat.com posted a reply to If the average of 2x and 4x is 12, then x in the Problem Solving forum “Hi VJesus12, We''re told that the average of 2X and 4X is 12. We''re asked for the value of X. This question can be solved Algebraically or by TESTing THE ANSWERS. Since we have two different ''terms'' - and an average of 12 - we know that one term is smaller than 12 and the other is bigger ...” April 28, 2018 Rich.C@EMPOWERgmat.com posted a reply to What is the perimeter of a regular polygon with in the Problem Solving forum “Hi VJesus12, We''re told that a regular polygon has sides of length 12 cm and internal angles measuring 144° each. We''re asked for the PERIMETER of that polygon. This question can be solved in a variety of different ways, but there''s a great ''concept shortcut'' that you can use - along with ...” April 28, 2018 Rich.C@EMPOWERgmat.com posted a reply to A sporting goods store ordered an equal number of white and in the Problem Solving forum “Hi All, We''re told that a sporting goods store ordered an EQUAL number of white and yellow tennis balls, but the tennis ball company delivered 30 extra white balls, making the ratio of white balls to yellow balls 6:5. We''re asked for the TOTAL number of tennis balls that the store originally ...” April 28, 2018 Brent@GMATPrepNow posted a reply to $If \, 8^{13}=2^z , then \, z=$ in the Problem Solving forum “GIVEN: 8^13 = 2^z We want to rewrite our powers so that they have the SAME BASE Rewrite 8 as 2^3 to get: ( 2^3)^13 = 2^z Simplify left side to get: 2^39 = 2^z So, it must be the case that 39 = z Answer: E Cheers, Brent” April 27, 2018 Brent@GMATPrepNow posted a reply to If x is a positive integer greater than 1, is 1/x in the Data Sufficiency forum “Target question: Is 1/x a terminating decimal? This is a good candidate for rephrasing the target question. There''s a nice rule that says something like, If a/b results in a terminating decimal, then the denominator, b, MUST be the product of 2''s and 5''s only! So, for example, if b = 20, ...” April 27, 2018 Brent@GMATPrepNow posted a reply to If the average of 2x and 4x is 12, then x in the Problem Solving forum “Given: the average of 2x and 4x is 12 We can write: (2x + 4x)/2 = 12 Simplify: 6x/2 = 12 Simplify: 3x = 12 Solve: x = 4 Answer: D Cheers, Brent” April 27, 2018 Brent@GMATPrepNow posted a reply to 1/2 of 0.2 percent equals in the Problem Solving forum “Fraction, decimals and percents are all similar ways of expressing a quantity. For example: 19% = 19/100 = 0.19 123% = 123/100 = 1.23 2% = 2/100 = 0.02 So, 0.2% = 0.2/100 = 2/1000 = 0.002 So, 1/2 of 0.2 percent = 1/2 of 0.002 = 0.0001 Answer: D Cheers, Brent” April 27, 2018 Brent@GMATPrepNow posted a reply to Is b an even integer? in the Data Sufficiency forum “Target question: Is b an even integer? Statement 1: The product of b and integer c is even. Let''s TEST some values. There are several values of b and c that satisfy statement 1. Here are two: Case a: b = 2 and c = 3. Here, the product bc = (2)(3) = 6, which is even. In this case, b = 2, ...” April 27, 2018 Brent@GMATPrepNow posted a reply to What is the perimeter of a regular polygon with in the Problem Solving forum “Sum of ALL sides in an n-sided polygon = (n - 2)(180) degrees So, EACH ANGLE in a regular n-sided polygon = (n - 2)(180)/n degrees We''re told that EACH ANGLE is 144°, so we can write: (n - 2)(180)/n = 144 Multiply both sides by n to get: (n - 2)(180) = 144n Expand left side: 180n - 360 = ...” April 27, 2018 Max@Math Revolution posted a new topic called If x is the sum of all odd numbers between 1001 and 2000, in in the Problem Solving forum “[GMAT math practice question] If x is the sum of all odd numbers between 1001 and 2000, inclusive and y is the sum of all even numbers between 1001 and 2000, inclusive, what is the value of x – y? A. -1000 B. -500 C. 0 D. 500 E. 1000” April 27, 2018 Max@Math Revolution posted a reply to Alice sells apples. She sold at least 10 lb every day last w in the Problem Solving forum “=> Since the minimum weight of apples sold is 10, the greatest range occurs for the greatest maximum. The greatest maximum occurs when all but one of the weights sold is 10 lb. If the weights are 10, 10, 10, 10, 10, 10, max, then we must have max + 10 + 10 + 10 + 10 + 10 + 10 = max + 60 = ...” April 27, 2018 Max@Math Revolution posted a new topic called Alice works from Monday to Friday only. How many in the Data Sufficiency forum “[GMAT math practice question] Alice works from Monday to Friday only. How many days does she work in April? 1) April 1 is Saturday or Sunday 2) April 28 is Saturday or Sunday” April 27, 2018 Max@Math Revolution posted a reply to The students at a school took a math exam. Is the average (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. Since we ...” April 27, 2018 Rich.C@EMPOWERgmat.com posted a reply to If q is the set of positive values for p and |3p – 4| ≤ in the Problem Solving forum “Hi All, We''re told that Q is the set of POSITIVE values for P and |3P - 4| ≤ 1. We''re asked which of the following is the RANGE of Q. This question can be solved in a couple of different ways, including Algebraically: To find the maximum and minimum positive values for P, we need to solve ...” April 27, 2018 Rich.C@EMPOWERgmat.com posted a reply to A high School has 400 students 1/2 attend the arithmetic in the Problem Solving forum “Hi All, We''re told that a High School has 400 students: 1/2 attend the arithmetic club, 5/8 attend the Biology club, 3/4 attend the Chemistry club, and 3/8 attend all 3 clubs. If every student attends at least one club, we''re asked for the number of students who attend EXACTLY 2 clubs. 3-Group ...” April 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to Al, Lew, and Karen pooled their funds to buy a gift for a in the Problem Solving forum “Hi All, We''re told that Al, Lew, and Karen pooled their funds to buy a gift for a friend, Al contributed$2 less than 1/3 of the cost of the gift, Lew contributed $2 more than 1/4 of the cost and Karen contributed the remaining$15. We''re asked for the total cost of the gift. This question can ...”
April 26, 2018
Rich.C@EMPOWERgmat.com posted a reply to Need to prepare for GMAT but I don't have a lot of money... in the GMAT Strategy forum
“Hi Farah_1995, You''ve given yourself plenty of time to study - which is good. Since it sounds like you''re just beginning your studies, then it would be a good idea to take a FULL-LENGTH practice CAT Test. Earlier this month, GMAC made a formal announcement defining some changes that will be ...”
April 26, 2018
Brent@GMATPrepNow posted a reply to Is median of a, b and c equal to their average (arithmetic m in the Data Sufficiency forum
“Target question: Is the median of a, b and c equal to their average (arithmetic mean)? Statement 1: a ≤ b ≤ c Let'' TEST some values. There are several values of a, b and C that satisfy statement 1. Here are two: Case a: a = 1, b = 1 and c = 1. The median = 1 = mean. In this case, the ...”
April 26, 2018
Brent@GMATPrepNow posted a reply to ACME’s manufacturing costs for sets of horseshoes include in the Problem Solving forum
“That''s a great solution. Here''s a slight twist: It COSTS $19.75 per set, and each set is SOLD for$52.50 So, the company makes approximately $33 per set ($52.50 - $19.75 ≈$33) The company sold 987 sets. So, the profit ≈ ($33)(1000) ≈$33,000 Keep in mind, that there''s also ...”
April 26, 2018
Max@Math Revolution posted a new topic called The minimum of the integers x, y, and z is 10 and their aver in the Problem Solving forum
“[GMAT math practice question] The minimum of the integers x, y, and z is 10 and their average is 11. What is the greatest possible value of their maximum? A. 10 B. 11 C. 12 D. 13 E. 14”
April 26, 2018
Max@Math Revolution posted a reply to How many possible 7-digit codes can be formed from the lette in the Problem Solving forum
“=> The number of permutations of 7 different letters is 7!. However, 3 of the letters are ‘s’ and 2 of the letters are ‘c’. Therefore, the number of permutations of the letters s, u, c, c, e, s, s is 7! / (3! * 2!) = 420. Therefore, the answer is B. Answer: B”
April 26, 2018
Max@Math Revolution posted a new topic called Is median of a, b and c equal to their average (arithmetic m in the Data Sufficiency forum
“[GMAT math practice question] Is median of a, b and c equal to their average (arithmetic mean)? 1) a ≤ b ≤ c 2) b = ( a + c ) / 2”
April 26, 2018
Max@Math Revolution posted a reply to What is the median of m, n and 5? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
April 26, 2018
Brent@GMATPrepNow posted a reply to A certain box has 10 cards written integers from 1 to 10 in the Problem Solving forum
“As AAPL has shown, the average value of the ten cards is 5.5 So, we want to find P(sum of 2 cards is less than 5.5) We can use combinations to determine the umber of ways to select 2 of the 10 cards We can select 2 cards from 10 cards is 10C2 ways (= 45 ways) When we examine the answer ...”
April 25, 2018
Brent@GMATPrepNow posted a reply to What is the median of m, n and 5? in the Data Sufficiency forum
“Target question: What is the median of m, n and 5? Statement 1: m + n = 10 Let''s examine the ONLY TWO possible cases: m and n are equal and m and n are NOT equal Case a: m and n are equal. That is m = 5 and n = 5. In this case, the set = {5, 5, 5 }, in which case the answer to the target ...”
April 25, 2018
Max@Math Revolution posted a new topic called Alice sells apples. She sold at least 10 lb every day last w in the Problem Solving forum
“[GMAT math practice question] Alice sells apples. She sold at least 10 lb every day last week. If the total weight of apples sold last week was 140, what is the largest possible range of the weights of apples sold on each day last week? A. 40 B. 50 C. 60 ...”
April 25, 2018
Max@Math Revolution posted a reply to How many 5 digit numbers have at least o in the Problem Solving forum
“=> The number of 5 digit numbers is 99999 – 10000 + 1 = 90000. The number of 5 digit numbers which have no 0 digit is 9 * 9 * 9 * 9 * 9 = 59049. When we encounter the words “at least” in probability questions, we should consider the complementary case and subtract the number of ways it ...”
April 25, 2018
Max@Math Revolution posted a new topic called The students at a school took a math exam. Is the average (a in the Data Sufficiency forum
“[GMAT math practice question] The students at a school took a math exam. Is the average (arithmetic mean) score for the exam higher than the median score? 1) The average (arithmetic mean) score is 75. 2) 51% of the students attained more than the average (arithmetic mean) score.”
April 25, 2018
Max@Math Revolution posted a reply to A bag contains only black and white balls. What is the proba 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, 2018
Rich.C@EMPOWERgmat.com posted a reply to It takes Kaya a total of 9 hours to go from home to work in the Problem Solving forum
“Hi All, We''re told that it takes Kaya a total of 9 hours in TOTAL to go from home to work and back on her bike and that she travels at an average speed of 5 miles per hour from home to work and TWICE as fast coming home than going to work. We''re asked for the number of miles from her home to ...”
April 25, 2018
Rich.C@EMPOWERgmat.com posted a reply to During a particular period, an investor received $1000 a in the Problem Solving forum “Hi All, We''re told that during a particular period, an investor received$1000 a week the first week then $1000 two weeks later and then$1000 four weeks later and so on. We''re asked for the number of weeks that it took her to receive $5,000 in total. This question can probably best be solved ...” April 25, 2018 Rich.C@EMPOWERgmat.com posted a reply to The population of City X doubles every 25 years in the Problem Solving forum “Hi All, We''re told that the population of City X doubles every 25 years and that this rate continues for the foreseeable future. We''re asked for the number of CENTURIES (re: 100 years periods) it will take for the population to increase from 20,000 to 1,280,000. Since the question does NOT use ...” April 25, 2018 Brent@GMATPrepNow posted a reply to The population of City X doubles every 25 years in the Problem Solving forum “Let''s make a table TIME | POPULATION Now: 20,000 25 years from now: 40,000 50 years from now: 80,000 75 years from now: 160,000 100 years from now: 320,000 125 years from now: 640,000 150 years from now: 1,280,000 So, it will take 150 years (aka 1.5 centuries) for the population to ...” April 24, 2018 Brent@GMATPrepNow posted a reply to helpp!! with trianglee in the Data Sufficiency forum “Given: In triangle ABC, point X is the midpoint of side AC and point Y is the midpoint of side BC. If point R is the midpoint of line segment XC and if point S is the midpoint of line segment YC Let''s make a few observations before we do anything else. As others have pointed out before me, the ...” April 24, 2018 Brent@GMATPrepNow posted a reply to QR-162 in the Problem Solving forum “Since OC = AC, ∆AOC is an isosceles triangle, which means ∠OAC is also x° https://s1.postimg.cc/568w34movv/image.png Since all 3 angles in ∆AOC must add to 180°, we can conclude that ∠OCA = (180-2x)° https://s1.postimg.cc/27wlzmeuu3/image.png Since angles on a LINE must add to ...” April 24, 2018 Brent@GMATPrepNow posted a reply to Alice and Bruce each bought a refrigerator, and the sum of in the Problem Solving forum “We can also solve the question algebraically, using 1 variable or 2 variables. Here''s a solution with 1 variable: Given: Twice of what Alice paid was$75 more than what Bruce paid Let x = the amount Alice paid So, 2x - 75 = the amount Bruce paid Given: The sum of their purchases was ...”
April 24, 2018
Brent@GMATPrepNow posted a reply to Alice and Bruce each bought a refrigerator, and the sum of in the Problem Solving forum
“This question lends itself nicely to testing the answer choices We''ll start with answer choice C ($425), the middle value. If Alice paid$425, how much did Bruce pay? Given: twice of what Alice paid was $75 more than what Bruce paid Two times$425 = $850, so Bruce paid$775 (since $850 - ...” April 24, 2018 Brent@GMATPrepNow posted a reply to Set T consists of 82 consecutive odd integers. If the sum of in the Problem Solving forum “Here''s another approach: There''s a nice rule that says, "In a set where the numbers are equally spaced, the mean will equal the median." For example, in each of the following sets, the mean and median are equal: {7, 9, 11, 13, 15} {-1, 4, 9, 14} {3, 4, 5, 6} Since set T ...” April 24, 2018 Brent@GMATPrepNow posted a reply to Is a^5 divisible by 4? in the Data Sufficiency forum “Target question: Is a^5 divisible by 4? Statement 1: a^5 – 8 is divisible by 4. In other words, a^5 – 8 is a MULTIPLE OF 4 So, we can say that: a^5 – 8 = 4k for some integer k Add 8 to both sides to get: a^5 = 4k + 8 (for some integer k) Factor the right side: a^5 = 4(k + 2) (for ...” April 24, 2018 Brent@GMATPrepNow posted a reply to P persons have decided to rent a van to tour while on in the Problem Solving forum “P persons have decided to rent a van to tour while on holidays. The price of the van is x dollars and each person is to pay an equal share. ORIGINAL cost per person = (total cost)/(number of people paying) = x/P D persons cancel their trip thus failing to pay their share So, now the number of ...” April 24, 2018 Brent@GMATPrepNow posted a reply to How many possible 7-digit codes can be formed from the lette in the Problem Solving forum “When we want to arrange a group of items in which some of the items are identical, we can use something called the MISSISSIPPI rule. It goes like this: If there are n objects where A of them are alike, another B of them are alike, another C of them are alike, and so on, then the total number of ...” April 24, 2018 Max@Math Revolution posted a new topic called How many possible 7-digit codes can be formed from the lette in the Problem Solving forum “[GMAT math practice question] How many possible 7-digit codes can be formed from the letters s, u, c, c, e, s, s? A. 400 B. 420 C. 450 D. 500 E. 510” April 24, 2018 Max@Math Revolution posted a new topic called What is the median of m, n and 5? in the Data Sufficiency forum “[GMAT math practice question] What is the median of m, n and 5? 1) m+n=10 2) m=5” April 24, 2018 Rich.C@EMPOWERgmat.com posted a reply to The present ratio of students to teachers (OG2016) in the Problem Solving forum “Hi All, We''re told that the present ratio of students to teachers at a certain school is 30 to 1 and IF the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, then the ratio of students to teachers would then be 25 to 1. We''re asked for the ...” April 24, 2018 Rich.C@EMPOWERgmat.com posted a reply to If 8^x = 2^12, what is x? in the Problem Solving forum “Hi All, We''re told that 8^X = 2^12. We''re asked for the value of X. This question can be solved in a number of different ways - depending on how you choose to do the math. Sometimes how you choose to "see" a GMAT question can give you a significant ''shortcut'' in solving that ...” April 24, 2018 Rich.C@EMPOWERgmat.com posted a reply to If 2^x−2^(x−2)=3∗2^(13) what is the value of x? in the Problem Solving forum “Hi All, While this question might look a bit ''scary'', you can solve it with a mix of TESTing THE ANSWERS and Arithmetic. To start, it''s worth noting that the ''right side'' of the equation is MORE than 2^13. The ''left side'' of the equation is 2^X - (another value), so we know that X MUST ...” April 24, 2018 Brent@GMATPrepNow posted a reply to How many 5 digit numbers have at least o in the Problem Solving forum “NOTE: We can solve this question without performing lengthy calculations (e.g., 9^5) # of 5-digit numbers with at least one zero digit = (TOTAL number of 5-digit numbers) - (number of 5-digit numbers without ANY 0''s) As Keith shows us above, we get: # of 5-digit numbers with at least one ...” April 23, 2018 Brent@GMATPrepNow posted a reply to Set T consists of 100 consecutive odd integers. If k is an i in the Problem Solving forum “One more approach: If Set T COULD look like this: { -99, -97 ..... -3, -1, 1, 3......97, 99 }, in which case the median = zero We can see that answer choices A, B, D and E could equal zero, so we can ELIMINATE them. Here''s what I mean: A) k² - k - 6 = (k + 2)(k - 3). So, answer choice ...” April 23, 2018 Brent@GMATPrepNow posted a reply to If 3 < x < 7, Which of the following must be true? in the Problem Solving forum “If x > 3, then x COULD equal 3.00000000000000000000000001, in which case x^2 will be less than 9.0001 This means we can ELIMINATE answer choices A, B, C and E By the process of elimination, we''re left with D Cheers, Brent” April 23, 2018 Brent@GMATPrepNow posted a reply to Is the product of x and y a prime number? in the Data Sufficiency forum “Target question: Is the product xy a prime number? Statement 1: x² = 1 This tells us that either x = 1 or x = -1, but it provides NO INFORMATION about y. Consider these two possible cases: Case a: x = 1 and y = 3. In this case, xy = (1)(3) = 3, which is prime. So, the answer to the ...” April 23, 2018 Brent@GMATPrepNow posted a reply to Is s = r? in the Data Sufficiency forum “Target question: Is s = r ? Statement 1: s² = r² This statement doesn''t FEEL sufficient, so I''ll TEST some values. There are several values of r and s that satisfy statement 1. Here are two: Case a: r = 1 and s = 1. Notice that s² = r² becomes (1)² = (1)², which satisfies the ...” April 23, 2018 Brent@GMATPrepNow posted a reply to If n is an integer, is n - 1 even? in the Data Sufficiency forum “Some important rules: 1. ODD +/- ODD = EVEN 2. ODD +/- EVEN = ODD 3. EVEN +/- ODD = ODD 4. EVEN +/- EVEN = EVEN Target question: Is n - 1 even? Statement 1: n - 2 is odd In other words, we can write n - 2 = ODD Add 1 to both sides to get: n - 2 + 1 = ODD + 1 Simplify: n - 1 = ODD + ...” April 23, 2018 Brent@GMATPrepNow posted a reply to If x^2=x+1, then x^3=? in the Problem Solving forum “GIVEN: x² = x + 1 We want to determine the value of x³ So, let''s take the given equation and multiply both sides by x to get: (x)(x²) = (x)(x + 1) Simplify: x³ = x² + x Check the answer choices. . . . . x² + x is not there! At this points, we need to use the given information to ...” April 23, 2018 Max@Math Revolution posted a new topic called How many 5 digit numbers have at least o in the Problem Solving forum “[GMAT math practice question] How many 5 digit numbers have at least one zero digit? A. 30951 B. 40141 C. 47132 D. 50001 E. 50433” April 23, 2018 Max@Math Revolution posted a new topic called A bag contains only black and white balls. What is the proba in the Data Sufficiency forum “[GMAT math practice question] A bag contains only black and white balls. What is the probability that a ball chosen randomly from the bag is black? 1) The total number of balls in the bag is 12 2) The number of white balls is 3 times the number of black balls” April 23, 2018 Max@Math Revolution posted a reply to If the sum of the squares of two positive integers is 106, w in the Problem Solving forum “=> x^2 + y^2 = 106. We can plug-in the numbers from 1 to 10 to find the values of x and y that work. We find that 9^2 + 5^2 = 81 + 25 = 106. So, the two numbers are 5 and 9, and their sum is 9 + 5 = 14. Therefore, the answer is B. Answer: B” April 23, 2018 Max@Math Revolution posted a reply to What is the difference between the av in the Problem Solving forum “=> The first 9 positive integers are 1, 2, 3, …, 9. Their average is 5. The second 9 non-negative integers are 1, 2, 3, …, 9, since the first 9 non-negative integers are 0, 1, 2, …, 8. Their average is 5 too. Thus the difference between those averages is 0. Therefore, A is the ...” April 23, 2018 Max@Math Revolution posted a reply to If x and y are integers, is x+y an 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 ...” April 23, 2018 Max@Math Revolution posted a reply to When a and b are positive integers, what is the greates 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 23, 2018 Rich.C@EMPOWERgmat.com posted a reply to A teacher grades students' tests by subtracting twice the in the Problem Solving forum “Hi All, This question can be solved by TESTing THE ANSWERS. We''re given a few facts about a particular test and a student who took that test: 1) The score on the test is generated by subtracting TWICE the number of incorrect responses from the number of correct responses. 2) A student ...” April 23, 2018 Rich.C@EMPOWERgmat.com posted a reply to A container holding 12 ounces of a solution that is 1 in the Problem Solving forum “Hi All, We''re told that a container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 8 ounces of a solution that is 1 part alcohol to 3 parts water. We''re asked for the ratio of alcohol to water in the resulting solution. Since this ...” April 23, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMAT Study Plan in the GMAT Strategy forum “Hi Samra5, From your post, it''s not clear whether you''ve done any studying yet or if you''re just beginning your studies. Before I can offer you the specific advice that you’re looking for, it would help if you could provide a bit more information on how you''ve been studying and your goals: ...” April 22, 2018 Brent@GMATPrepNow posted a reply to Three cannons are firing at a target. in the Problem Solving forum “P[all shots hit target] is not the complement of P[no shots hit target] If what is the opposite of "none of the shots hit the target"? Well, it''s can be 1 shot hits target or 2 shots hit target or all 3 shots hit target. So, if we''re going to use the complement here, we must ...” April 22, 2018 Brent@GMATPrepNow posted a reply to Three cannons are firing at a target. in the Problem Solving forum “P(1st MISSES target) = 1 - P(1st HITS target) = 1 - 0.3 = 0.7 P(2nd MISSES target) = 1 - P(2nd HITS target) = 1 - 0.4 = 0.6 P(3rd MISSES target) = 1 - P(3rd HITS target) = 1 - 0.5 = 0.5 ---------------------------- P(none hit the target) = P(1st misses target AND 2nd misses target AND 3rd ...” April 22, 2018 Rich.C@EMPOWERgmat.com posted a reply to What is the value of y? in the Data Sufficiency forum “Hi M7MBA, We''re asked for the value of Y. 1) Y² + 8Y + 16 = 0 Fact 1 gives us a Quadratic set equal to 0, so there could only be 0, 1 or 2 possible solutions (in this type of prompt, the GMAT will not put us in a situation in which there are 0 solutions). If there is just one solution, ...” April 22, 2018 Rich.C@EMPOWERgmat.com posted a reply to There are five homes. If the median price of a home is$200, in the Data Sufficiency forum
“Hi Anaira Mitch, We''re told that the MEDIAN price of 5 homes is $200,000. We''re asked if the RANGE of all 5 prices is greater than$80,000. This is a YES/NO question and we can solve it with a bit of logic and by TESTing VALUES. Since the MEDIAN price is $200,000, we can start by ...” April 22, 2018 Rich.C@EMPOWERgmat.com posted a reply to Numbers a and b are positive integers. If a^4-b^4 is divided in the Data Sufficiency forum “Hi Anaira Mitch, We''re told that A and B are POSITIVE INTEGERS. We''re asked for the remainder when (A^4 - B^4) is divided by 3. This question is ''quirky'', but there are a couple of different ways to approach it. There are some ''shortcuts'' if you recognize the Algebra and subtle Arithmetic ...” April 22, 2018 Brent@GMATPrepNow posted a new topic called Set T consists of 82 consecutive odd integers. If the sum of in the Problem Solving forum “Set T consists of 82 consecutive odd integers. If the sum of the integers is 3⁸ - 165, what is the median of set T? A) 78 B) 80 C) 82 D) 84 E) 86 Answer: A Source: www.gmatprepnow.com Estimated difficulty level: 650-700 Cheers, Brent” April 21, 2018 Brent@GMATPrepNow posted a new topic called Set T consists of 100 consecutive odd integers. If k is an i in the Problem Solving forum “Set T consists of 100 consecutive odd integers. If k is an integer, which of the following CANNOT equal the median of set T? A) k² - k - 6 B) k² + 8k + 15 C) 4k² + 4k + 1 D) k³ - 4k² - k E) 3k³ - 27k² Answer: C Source: www.gmatprepnow.com Estimated difficulty level: 650-700 ...” April 21, 2018 Rich.C@EMPOWERgmat.com posted a reply to If -3x < 6, which of the following must be true? in the Problem Solving forum “Hi M7MBA, We''re told that -3X < 6. We''re asked which of the following MUST be true. This question can be approached in a couple of different ways, including by TESTing VALUES. The easiest value to choose for X would be X=0. With that one TEST, there''s only one Answer that is true... ...” April 21, 2018 Rich.C@EMPOWERgmat.com posted a reply to What is the area of the shaded region? in the Problem Solving forum “Hi swerve, We''re told that the radius of the circle is 6 and chord AB = 6. We''re asked for the area of the shaded region. I''m going to give you a couple of hints/suggestions so that you can retry this question on your own: 1) In most questions that involve a circle, the RADIUS of the ...” April 21, 2018 Rich.C@EMPOWERgmat.com posted a reply to Before being simplified, the instructions for computing in the Problem Solving forum “Hi All, We''re told that before being simplified, the instructions for computing income tax in country R were to ADD 2 percent of one''s annual income to the AVERAGE of 100 units of Country R''s currency and 1 percent of one''s annual income. We''re asked which of the following represents the ...” April 21, 2018 Rich.C@EMPOWERgmat.com posted a reply to A toy store regularly sells all stock at a discount of in the Problem Solving forum “Hi All, We''re told that a toy store regularly sells all stock at a discount of 20% to 40% and an additional 25% were deducted from the discounted price during a special sale. We''re asked for the lowest possible price of a toy costing$16 before any discount. When dealing with these types of ...”
April 20, 2018
Brent@GMATPrepNow posted a reply to A toy store regularly sells all stock at a discount of in the Problem Solving forum
“Your solution is great, but you can save some time by using the fact that the answer choices are spread out nicely. To get the LOWEST possible price (after the two discounts), we must apply the biggest discount (which is a 40% discount) So, AFTER the 40% discount, customers will pay 60% of ...”
April 20, 2018
Brent@GMATPrepNow posted a reply to The "prime sum" of an integer n greater than 1 is in the Problem Solving forum
“This question requires us to find the prime factorization of the answer choices A. 440 = (2)(2)(2)(5)(11). PRIME SUM = 2 + 2 + 2 + 5 + 11 = 22 B. 512 = (2)(2)(2)(2)(2)(2)(2)(2)(2) PRIME SUM = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 18 C. 620 = (2)(2)(5)(31) PRIME SUM = 2 + 2 + 5 + 31 = 40 ...”
April 20, 2018
Brent@GMATPrepNow posted a reply to If x and y are integers, is x+y an even in the Data Sufficiency forum
“Target question: Is x+y an even integer? Statement 1: x+3y is even There are 4 possible cases to consider. Let''s test them all Case a: x is ODD and y is ODD. Notice that x +3y = ODD + (3)(ODD) = ODD + ODD = EVEN. In this case, x + y = ODD + ODD = EVEN. So, the answer to the target ...”
April 20, 2018
Brent@GMATPrepNow posted a reply to If the sum of the squares of two positive integers is 106, w in the Problem Solving forum
“Your solution is perfect. I can''t think of a different approach. Cheers, Brent”
April 20, 2018
Brent@GMATPrepNow posted a reply to If -3x < 6, which of the following must be true? in the Problem Solving forum
“Given: -3x < 6 Divide both sides by -3 to get: x > -2 Answer: D Cheers, Brent”
April 20, 2018
Brent@GMATPrepNow posted a reply to if A = P^Q what is the value of A if in the Problem Solving forum
“Given: A = P^Q Given: P = -1 Take A = P^Q and replace P with -1 to get: A = (-1 )^Q So, the value of A depends on the value of Q. Let''s test some different values of Q. If Q = 1, then A = (-1 )^1 = -1 If Q = 2, then A = (-1 )^2 = (-1)(-1) = 1 Since we can have two different values ...”
April 20, 2018
Brent@GMATPrepNow posted a reply to A certain restaurant offers 8 different salads in the Problem Solving forum
“Take the task of creating a meal and break it into stages. Stage 1: Select 1 salad There are 8 different salads from which to choose, so we can complete stage 1 in 8 ways Stage 2: Select 1 main course There are 5 different main courses from which to choose, so we can complete stage 2 in ...”
April 20, 2018
Brent@GMATPrepNow posted a reply to If 8^x = 2^12, what is x? in the Problem Solving forum
“We need to rewrite the powers with the SAME BASES. In this case, we can rewrite them with a common base of 2 Given: If 8^x = 2^12, what is x? Rewrite 8 as 2³ to get: (2³)^x = 2^12 Apply Power of a Power rule to get: 2^(2x) = 2^12 So, we can conclude that: 2x =12 Solve: x = 6 Answer: ...”
April 20, 2018
Brent@GMATPrepNow posted a reply to What is the value of y? in the Data Sufficiency forum
“Target question: What is the value of y? Statement 1: y² + 8y + 16 = 0 Factor to get: (y + 4)(y + 4) = 0 So, y MUST equal -4 Since we can answer the target question with certainty, statement 1 is SUFFICIENT Statement 2: y < 0 If y is NEGATIVE, then there are infinitely many ...”
April 20, 2018
Max@Math Revolution posted a new topic called If the sum of the squares of two positive integers is 106, w in the Problem Solving forum
“[GMAT math practice question] If the sum of the squares of two positive integers is 106, what is the sum of the two integers? A. 13 B. 14 C. 15 D. 16 E. 17”
April 20, 2018
Max@Math Revolution posted a reply to Alice makes 2-digit codes using the 26 letters of the alphab in the Problem Solving forum
“=> The number of vowels is 5 (a,e,i,o,u). So, the number of codes is equal to the number of 2-digit codes with no restrictions minus the number of codes that contain no vowels. This is given by 26*26 – 21*21 = (26 + 21)(26 – 21) = 47*5 = 235. Therefore, the answer is A. Answer: ...”
April 20, 2018
Max@Math Revolution posted a new topic called If x and y are integers, is x+y an even in the Data Sufficiency forum
“[GMAT math practice question] If x and y are integers, is x+y an even number? 1) x+3y is even 2) (x-1)(y-1) is odd”
April 20, 2018
Max@Math Revolution posted a reply to Each of three consecutive positive integers is less than 100 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 20, 2018
Brent@GMATPrepNow posted a reply to 200 is what percent of 40? in the Problem Solving forum
“40 is 100% of 40 So, 500 must be MORE THAN 100% of 40 We can eliminate A, B, C, and D Answer: E Cheers, Brent”
April 20, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMATPrep Practice Exam Problem in the Problem Solving forum
“Hi TariqOmar, This question includes a ''conditional statement'' that effects how you''re supposed to handle each "step" in the math: "for each additional day....., the total fine is EITHER increased by 30 cents OR doubled, whichever results in the LESSER AMOUNT." ...”
April 19, 2018
“If you''re starting with a 700 with minimal prep, you can probably self-study and easily get a mid-700s or higher score. You probably don''t need to invest in a full study package. If you already have the Manhattan Prep guides, you''ll have access to the 6+ practice exams and online resources. That ...”
April 19, 2018
ceilidh.erickson posted a reply to How to improve Verbal score from 26-28 to 36-38 ? in the GMAT Verbal & Essays forum
“Thank you for clarifying. Since the percentile issue is a very common misconception, I wanted to be sure that no students had the wrong idea.”
April 19, 2018
Brent@GMATPrepNow posted a reply to GMATPrep Practice Exam Problem 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 19, 2018 Brent@GMATPrepNow posted a reply to Which of the following must be equal to 300% in the Problem Solving forum “p % = p/100 So, for example, 19% = 19/100 and 245% = 245/100 So, 300% of the value of x = 300/100 of x = (300/100)(x) = 3x = D Cheers, Brent” April 19, 2018 Max@Math Revolution posted a new topic called What is the difference between the av in the Problem Solving forum “[GMAT math practice question] What is the difference between the average (arithmetic mean) of the first 9 positive integers and the average (arithmetic mean) of the second 9 non-negative integers? A. 0 B. 1 C. 2 D. 3 E. 4” April 19, 2018 Max@Math Revolution posted a reply to The above table shows a set of scores and their frequencies. in the Problem Solving forum “=> If x = 6, the median is 12.5. If x = 7, 8, 9, or 10, the median is 12. Since 12.5 is not shown on the table, the answer is 6. Therefore, the answer is A. Answer: A” April 19, 2018 Max@Math Revolution posted a new topic called When a and b are positive integers, what is the greates in the Data Sufficiency forum “[GMAT math practice question] When a and b are positive integers, what is the greatest common divisor of a + b and a + 100? 1) a = 100 2) b = 99” April 19, 2018 Max@Math Revolution posted a reply to Is x>0? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” April 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to If n is an integer, which in the Problem Solving forum “Hi All, We''re told that N is an INTEGER. We''re asked which of the following MUST be even (which really means "which of the following is ALWAYS EVEN no matter how many different examples we can come up with?"). This question can be solved in a couple of different ways. There are a ...” April 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to OG City X has a population 4 times in the Problem Solving forum “Hi All, We''re told that City X has a population 4 TIMES as great as the population of City Y, which has a population TWICE as great as the population of City Z. We''re asked for the ratio of the population of City X to the population of City Z. Based on the design of this question - and the ...” April 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to If the average of p and 4p is 10, then p in the Problem Solving forum “Hi VJesus12, We''re told that the average of P and 4P is 10. We''re asked for the value of P. You can solve this problem in a couple of different ways, including by TESTing the ANSWERS. Let''s start by TESTing Answer B: Answer B: 3 IF....P=3 and 4P = 12, then the average of 3 and 12 is ...” April 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to A certain office supply store stocks 2 sizes of in the Problem Solving forum “Hi VJesus12, The question is essentially about the Combination Formula and following instructions. However, if you don''t realize that, then you can always "brute force" the solution - you just have to draw it all out. We''re told that there are 2 sizes of notepads and 4 colors (Blue, ...” April 19, 2018 Brent@GMATPrepNow posted a reply to What was the percent increase in the value of a certain in the Data Sufficiency forum “Target question: What was the percent increase in the value of a certain antique from January 1, 1981, to December 31, 1981? Percent increase = 100(new - old)/old So, we can answer the target question if we have the OLD value and the NEW value. Statement 1: The value of the antique on ...” April 18, 2018 Brent@GMATPrepNow posted a reply to 200 is what percent of 40? in the Problem Solving forum “Let p = the percent So, we get: 200 = p percent of 40 Rewrite as: 200 = (p/100)(40) So, we get: 200 = (40p)/100 Simplify right side: 200 = (2p)/5 Multiply both sides by 5 to get: 1000 = 2p Solve: p = 500 Answer: E Cheers, Brent” April 18, 2018 Brent@GMATPrepNow posted a reply to A certain office supply store stocks 2 sizes of in the Problem Solving forum “There are two different cases to consider: 1) All 3 pads the same color 2) The 3 pads are 3 different colors Case 1: All 3 pads the same color Take the task of packaging pads and break it into stages. Stage 1: Select a size There are 2 possible sizes, so we can complete stage 1 in 2 ...” April 18, 2018 Max@Math Revolution posted a new topic called Alice makes 2-digit codes using the 26 letters of the alphab in the Problem Solving forum “[GMAT math practice question] Alice makes 2-digit codes using the 26 letters of the alphabet. Letters may be used repeatedly, and at least one vowel must be used. How many possible codes can she make? A. 235 B. 256 C. 360 D. 625 E. 676” April 18, 2018 Max@Math Revolution posted a reply to Which of the following relationships must be inversely propo in the Problem Solving forum “=> Statement I Let R be the work rate, W be the work done and T be the working time. Then R = W/T and T = W*R. Therefore, T and W are directly proportional. Statement II Let V be the speed, D be the distance and T be the traveling time. Then V = D/T, and V and T are inversely ...” April 18, 2018 Max@Math Revolution posted a new topic called Each of three consecutive positive integers is less than 100 in the Data Sufficiency forum “[GMAT math practice question] Each of three consecutive positive integers is less than 100. Their sum of is a multiple of 10. What is the smallest of the three integers? 1) Their median is a multiple of 9 2) Two of the integers are prime numbers.” April 18, 2018 Max@Math Revolution posted a reply to Is the total of the sales prices of 3 products greater than in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. If a ...” April 18, 2018 Rich.C@EMPOWERgmat.com posted a reply to A car dealership has 40 cars on the lot, 30% of which are in the Problem Solving forum “Hi All, We''re told that a car dealership has 40 cars on the lot, 30% of which are silver and the dealership receives a new shipment of 80 cars, 40% of which are NOT silver. We''re asked for the percentage of the total cars are silver. Since we''re given percentages - and asked a question in ...” April 18, 2018 Rich.C@EMPOWERgmat.com posted a reply to A motorcycle stunts man belonging to a fair, rides over in the Problem Solving forum “Hi All, We''re told that a motorcycle stuntman rides over the vertical walls of a circular well at an average speed of 54 kph for 5 minutes (in simple terms, he''s riding his motorcycle in a circle) and the radius of the well is 5 meters. We''re asked for the distance the stuntman travels. While ...” April 18, 2018 Rich.C@EMPOWERgmat.com posted a reply to In how many ways can 4 white and 3 black chess pieces be in the Problem Solving forum “Hi All, We''re asked for the number of ways that 4 distinct white chess pieces and 3 distinct black chess pieces can be arranged in a row such that they occupy alternate places. This question is essentially one big Permutation question and can be solved with that type of calculation. Since ...” April 18, 2018 Rich.C@EMPOWERgmat.com posted a reply to Empower Gmat and I beated the beast. in the I just Beat The GMAT! forum “Hi Giorgio, That''s FANTASTIC news! Raising a 610 to a 670 is a great achievement (and a Q48 will be much better for your applications than the Q44 that you scored back in January). With some additional study time, you could potentially have scored higher, but with this score you can comfortably ...” April 18, 2018 Brent@GMATPrepNow posted a reply to A certain fruit stand sold apples for$0.70 each and in the Problem Solving forum
“Here''s an approach where we test the POSSIBLE SCENARIOS. FACT #1: (total cost of apples) + (total cost of bananas) = 630 CENTS FACT #2: total cost of bananas is DIVISIBLE by 50, since each banana costs 50 cents. Now let''s start testing POSSIBLE scenarios. Customer buys 1 apple. 1 ...”
April 17, 2018
Brent@GMATPrepNow posted a reply to In the quotient a/b positive, which of the following in the Problem Solving forum
“Another approach... The key word here is MUST So, if we can find values of a and b that make an answer choice FALSE, then we can eliminate that answer choice. For example, a = -3 and b = -1 satisfies the given condition that a/b is positive Now take the answer choices and plug in a = -3 ...”
April 17, 2018
Brent@GMATPrepNow posted a reply to In the quotient a/b positive, which of the following in the Problem Solving forum
“GIVEN: a/b is positive This means that a and b have the SAME SIGN (e.g., both are negative or both are positive) Scan the answer choices.... Since a and b have the SAME SIGN, we know that the product ab must be positive Answer: C Cheers, Brent”
April 17, 2018
Brent@GMATPrepNow posted a reply to If a two digit integer is divided by an integer formed by re in the Problem Solving forum
“How about 89 divided by 98? 89 divided by 98 equals 0 with remainder 89 I don''t see 89 as an answer choice. Am I missing something? Cheers, Brent”
April 17, 2018
Max@Math Revolution posted a new topic called The above table shows a set of scores and their frequencies. in the Problem Solving forum
“https://s18.postimg.cc/oxuzgirwl/4.17.png The above table shows a set of scores and their frequencies. If the median score is not one of the scores displayed in the table, which of the following could be the value of x? A. 6 B. 7 C. 8 D. 9 E. 10”
April 17, 2018
Max@Math Revolution posted a new topic called Is x>0? in the Data Sufficiency forum
“[GMAT math practice question] $$Is\ x>0?$$ $$1)\ x^3+x^2+x=1$$ $$2)\ x^2-4x-5>0$$”
April 17, 2018
Rich.C@EMPOWERgmat.com posted a reply to Right Triangle Inscribed in a Circle Question in the GMAT Math forum
“Hi morganmthomson7, To start, when posting questions, you should post the ENTIRE prompt - including any pictures and the 5 answer choices. Without that drawing, it''s unclear exactly what the shapes look like. If you post the full prompt, then I''ll be happy to help you work through it. In ...”
April 16, 2018
“Hi interrobong, To start, a 700 is an outstanding initial CAT Score. Assuming that you did not see any of the questions on this CAT before you took it, then you''re clearly a really strong logical thinker and Test Taker. With a bit of ''fine tuning'', you could potentially score well into the ...”
April 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to Work in progress: 450 to 640. 190 points up: 90 more to go. in the I just Beat The GMAT! forum
“Hi Aman86, GMAC recently announced some changes that will be taking place to the format of the Official GMAT (beginning April 16, 2018). These changes primarily impact the overall length of the Exam (meaning the number of questions in the Quant and Verbal sections as well as the amount of time ...”
April 16, 2018
Brent@GMATPrepNow posted a reply to On Wednesday morning a fortune cookie machine ran in the Data Sufficiency forum
“Target question: At what time did it completely fill the order that morning? For this work question, we need to know that time = (output)/(rate) Statement 1: The machine produces 300 units per hour. Okay, so we know the machine''s rate, but we don''t know anything about the size of the ...”
April 16, 2018
Brent@GMATPrepNow posted a reply to A regular polygon can be constructed with a compass and in the Problem Solving forum
“I agree with you, regor60. Cheers, Brent”
April 16, 2018
Max@Math Revolution posted a new topic called Which of the following relationships must be inversely propo in the Problem Solving forum
“[GMAT math practice question] Which of the following relationships must be inversely proportional to each other? I. Work done and working time II. Speed and Traveling Time III. Profit and Cost A. I only B. II only C. III only D. II and III E. I and II”
April 16, 2018
Max@Math Revolution posted a new topic called Is the total of the sales prices of 3 products greater than in the Data Sufficiency forum
“[GMAT math practice question] Is the total of the sales prices of 3 products greater than $23? 1) The price of the cheapest of the 3 products is at least$8 2) The price of the second cheapest of the 3 products is at least $12.” April 16, 2018 Max@Math Revolution posted a reply to Alice is paid at a constant rate of$x per hour for the firs in the Problem Solving forum
“=> Total pay = (rate for first 40 hours)*40 hours + ($30)*(number of additional hours) x * 40 + ( 48 – 40 ) * 30 = 920 x*40 + 8*30 = 920 x * 40 + 240 = 920 x * 40 = 680 x = 680 / 40 = 17 Therefore, C is the answer. Answer: C” April 16, 2018 Max@Math Revolution posted a reply to Which of the following is equal to x!/(x+1)! + (x+1)!/(x+2)! in the Problem Solving forum “=> x! / ( x + 1 )! + ( x + 1 )! / ( x + 2 )! = x! / {x! * (x+1)} + (x+1)! / { (x+1)! * (x+2) } = 1/(x+1) + 1/(x+2) = (2x+3)/(x+1)(x+2) Therefore, C is the answer. Answer: C” April 16, 2018 Max@Math Revolution posted a reply to When a positive integer n is divided by 5, the remainder is in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. We have 1 ...” April 16, 2018 Max@Math Revolution posted a reply to If the elements of set X are a, b, c and d, is the average ( 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 16, 2018 Brent@GMATPrepNow posted a reply to Last year, Christine received 12 monthly paychecks. Each of in the Problem Solving forum “Another approach is to use weighted averages. Weighted average of groups combined = (group A proportion)(group A average) + (group B proportion)(group B average) + (group C proportion)(group C average) + ... In this question, the proportion of$4500 paychecks = 4/12 = 1/3 And the proportion ...”
April 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to A regular polygon can be constructed with a compass and in the Problem Solving forum
“Hi vinni.k, We''re told that a regular polygon can be constructed with a compass and straightedge IF its number of sides is either ANY power of 2, ANY PRODUCT of the five distinct primes 3, 5, 17, 257, and 65537, or the PRODUCT of ANY power of 2 and ANY of the five distinct primes. We''re asked ...”
April 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to A line of people is divided into groups. Each group consists in the Problem Solving forum
“Hi swerve, Based on the wording of this prompt, there''s a great way to ''visualize'' the solution by drawing some pictures and doing a little arithmetic. Since there are no individual people in line (everyone is part of a ''group'' from 2 to 6 people), we can think about minimizing or maximizing ...”
April 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to In a certain town in Connecticut, the ratio of NY Yankees in the Problem Solving forum
“Hi swerve, We''re told that in a certain town the ratio of NY Yankees fans to NY Mets fans is 3:2, the ratio of the NY Mets fans to Boston Red Sox fans is 4:5 and there are 300 total baseball fans in the town, each of whom is a fan of JUST ONE of those three teams. We''re asked for the number of ...”
April 15, 2018
Brent@GMATPrepNow posted a reply to Is standard deviation of Set A > standard deviation of Se in the Data Sufficiency forum
“Target question: Is standard deviation of Set A > standard deviation of Set B? Head straight to... Statements 1 and 2 COMBINED We can quickly come up with 2 cases that satisfy BOTH statements: Case a: Set A = {4, 4, 4, 4} and set B = {1, 2, 3}. Notice that both statements are ...”
April 15, 2018
Brent@GMATPrepNow posted a reply to For any real number x, the operator & is defined as in the Problem Solving forum
“Let''s look at a few examples of this operator (&) in action. If &(x) = x(1 − x), then... &(3) = 3(1 − 3) = 3(-2) = -6 &(7) = 7(1 − 7) = 7(-6) = -42 &(-5) = -5(1 − -5) = (-5)(6) = -30 And now..... &(p+1) = (p+1)(p+1)] = (p + 1)(-p) Now onto the ...”
April 15, 2018
Brent@GMATPrepNow posted a reply to What is the remainder when k^2 is divided by 8? in the Data Sufficiency forum
“Target question: What is the remainder when k² is divided by 8? Statement 1: When k is divided by 2, the remainder is 1. This tells us that k is one greater than some multiple of 2. So, we can write k = 2n + 1, where n is some integer. If k = 2n + 1, then k² = (2n + 1)² = 4n² + 4n + ...”
April 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to Is x > y? in the Data Sufficiency forum
“Hi VJesus12, We''re asked if X is greater than Y. This is a YES/NO question. It can be solved by TESTing VALUES (as Mitch has shown); it can also be dealt with ''conceptually.'' 1) (X + Y) > 0 Since (X+Y) is greater than 0, we know that AT LEAST one of the two variables is POSITIVE, ...”
April 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to What is the remainder when k^2 is divided by 8? in the Data Sufficiency forum
“Hi Gmat_mission, We''re asked for the remainder when K^2 is divided by 8. We can answer this question by TESTing VALUES. 1) When K is divided by 2, the remainder is 1. With the information in Fact 1, we know that K is an ODD INTEGER (for example 1, 3, 5, 7, etc.) IF.... K=1 then K^2 = ...”
April 15, 2018
Rich.C@EMPOWERgmat.com posted a reply to Every student of a certain school must take one and only in the Problem Solving forum
“Hi GMAT_mission, We''re told that every student of a certain school took ONLY ONE elective course and last year, 1/2 of the students took biology as an elective, 1/3 of the students took chemistry as an elective, and all of the other students took physics. Then this year, 1/3 of the students who ...”
April 15, 2018
Brent@GMATPrepNow posted a reply to probability in the Problem Solving forum
“Your new question: Two people are randomly selected from the group of five people: Amir, Brian, Claudia, Dhana and Ebo. What is the probability that Amir & Brian are BOTH selected? The correct answer to that question is 1/10. You''re getting 2/10 as your answer, because you''re treating the ...”
April 14, 2018
Brent@GMATPrepNow posted a reply to Is positive integer n – 1 a multiple of 3? in the Data Sufficiency forum
“Target question: Is positive integer n – 1 a multiple of 3? Statement 1: n³ – n is a multiple of 3 Let''s do some FACTORING n³ – n = n(n² - 1) = n(n + 1)(n - 1) So, statement 1 tells us that n(n + 1)(n - 1) is a multiple of 3 Notice that (n-1), n and (n+1) are 3 CONSECUTIVE ...”
April 14, 2018
Brent@GMATPrepNow posted a reply to On a Monday in a certain restaurant, 20 percent of the in the Problem Solving forum
“On a Monday in a certain restaurant, 20 percent of the 180 customers ordered the daily special. 10% of 180 = 18 So, 20% of 180 = 36 So, 36 people ordered the daily special on MONDAY On Tuesday, only 10 percent of the 120 customers ordered the special. 10% of 120 = 12 So, 12 people ordered ...”
April 14, 2018
Brent@GMATPrepNow posted a reply to For the positive integers x, x + 2, x + 4, x + 7, and in the Problem Solving forum
“MEAN mean = x + 5 MEDIAN The 5 values are already arranged in ASCENDING order {x, x + 2, x + 4, x + 7, x + 12} So, the median = the middle value = x + 4 The mean is how much greater than the median? In other words x + 5 is how much greater than the x + 4? Answer = (x + 5) - (x + 4) = ...”
April 14, 2018
Rich.C@EMPOWERgmat.com posted a reply to How many miles long is the route from Danton to Griggston? in the Data Sufficiency forum
“Hi M7MBA, We''re asked How many miles long the route is from Danton to Griggston. This prompt is a great example of a ''concept question'' (meaning that we don''t have to do any math to correctly answer it if we recognize the concept(s) involved. 1) It is twice as far from Danton to ...”
April 14, 2018
Rich.C@EMPOWERgmat.com posted a reply to Students in a class are arranged to form groups of 4 in the Data Sufficiency forum
“Hi M7MBA, We''re told that the students in a class are arranged to form groups of 4 members each and after forming the groups, 3 students are left. If the students had been arranged in groups of 9 members each, however, 4 students would be left. We''re asked for the total number of students in ...”
April 14, 2018
Rich.C@EMPOWERgmat.com posted a reply to If mn < np < 0, is n < 1? in the Data Sufficiency forum
“Hi M7MBA, We''re told that (M)(N) < (N)(P) < 0. We''re asked if N is less than 1. This is a YES/NO question and can be answered with a mix of Number Properties and TESTing VALUES. To start, since (M)(N) and (N)(P) are both less than 0, we know that one of the variables in each pair ...”
April 14, 2018
Rich.C@EMPOWERgmat.com posted a reply to If a is to be chosen at random from the integers between in the Problem Solving forum
“Hi All, We''re told that "A" is to be chosen at random from the integers between 1 to 5, inclusive, and "B" is to be chosen at random from the integers between 6 and 10, inclusive. We''re asked for the probability that A+B will be EVEN. This question is based on some Number ...”
April 14, 2018
Brent@GMATPrepNow posted a reply to In a survey of 200 college graduates, 30 percent said in the Data Sufficiency forum
“We can solve this question using the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it. Here, we have a population of college graduates, and the two characteristics are: - received ...”
April 13, 2018
Brent@GMATPrepNow posted a reply to If x > y, is x > 6 ? (1) (x - 7)(y - 7) = 0 (2) x > in the Data Sufficiency forum
“Target question: Is x > 6 ? Given: y < x Statement 1: (x - 7)(y - 7) = 0 There are two possible cases that make this equation true. Either x = 7 OR y = 7 Let''s examine each case: Case a: x = 7. In this case, the answer to the target question is YES, x IS greater than 6 Case b: ...”
April 13, 2018
Brent@GMATPrepNow posted a reply to When a positive integer n is divided by 5, the remainder is in the Data Sufficiency forum
“Target question: What is the remainder when n is divided by 3? Given: When positive integer n is divided by 5, the remainder is 2 ----ASIDE---------------------- When it comes to remainders, we have a nice rule that says: If N divided by D leaves remainder R, then the possible values of N ...”
April 13, 2018
Brent@GMATPrepNow posted a reply to A train travels at the rate of 10 miles/hr for the first in the Problem Solving forum
“First check the answer choices (ALWAYS check the answer choice before deciding on an approach to a question) We see that all answer choices are between 8 hours and 10 hours. So, let''s test the answer choices, starting with 8 hours, and then go from there (if need be). A) 8 hours Distance ...”
April 13, 2018
ceilidh.erickson posted a reply to How to improve Verbal score from 26-28 to 36-38 ? in the GMAT Verbal & Essays forum
“This is not correct, and it does not reflect what I said. Your percentile is irrelevant to your score. If one student with a Q50 ends up with a higher overall score than another student with a Q50, it is because that student had a higher raw score. The overall score is based on RAW scores, and has ...”
April 13, 2018
Max@Math Revolution posted a new topic called Alice is paid at a constant rate of $x per hour for the firs in the Problem Solving forum “[GMAT math practice question] Alice is paid at a constant rate of$x per hour for the first 40 hours she works and $30 for each hour she works after the first 40 hours. If Alice works 48 hours and earns$920, what is the value of x? A. $15 B.$16 C. $17 D.$18 ...”
April 13, 2018
Max@Math Revolution posted a reply to Each letter of a 5-letter password must be a different lette in the Problem Solving forum
“=> The total number of passwords with 2 vowels and 3 consonants is determined as follows: 1) Choose the 2 different vowels in 5C2 ways 2) Choose the 3 consonants in 21C3 ways 3) Arrange the 5 letters in 5! ways So, the number of passwords is 21C3 * 5C2 * 5! = ( 21*20*19 ) / (1*2*3) * ...”
April 13, 2018
Max@Math Revolution posted a new topic called When a positive integer n is divided by 5, the remainder is in the Data Sufficiency forum
“[GMAT math practice question] When a positive integer n is divided by 5, the remainder is 2. What is the remainder when n is divided by 3? 1) n is divisible by 2 2) When n is divided by 15, the remainder is 2.”
April 13, 2018
Max@Math Revolution posted a reply to Events A, B, C and D are all possible outcomes of an experim 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 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to Is ab < 0 ? in the Data Sufficiency forum
“Hi VJesus12, We''re asked if (A)(B) is less than 0. This is a YES/NO question and can be solved by TESTing VALUES. 1) A = B - 6 IF.... A=0, and B=6, then (A)(B) = 0 and the answer to the question is NO. A= -1, and B=5, then (A)(B) = -5 the answer to the question is YES. Fact 1 is ...”
April 13, 2018
ceilidh.erickson posted a reply to Which resources to use? in the GMAT Strategy forum
“Since you''re looking for a video course to study at your own pace, I recommend (with full acknowledgement of bias) Manhattan Prep''s Interact self-study course. This isn''t simply a collection of videos that you watch passively. It''s an interactive learning platform - you answer questions in real ...”
April 12, 2018
Brent@GMATPrepNow posted a reply to Is x>0? in the Data Sufficiency forum
“Target question: Is x POSITIVE? Statement 1: (x + y )² > (x - y)² Take: (x + y )² > (x - y)² Expand and simplify both sides to get: x² + 2xy + y ² > x² - 2xy + y ² Subtract x² from both sides: 2xy + y ² > -2xy + y ² Subtract y² from both sides: 2xy > -2xy Add ...”
April 12, 2018
ceilidh.erickson posted a reply to Study intensive plan - 12 weeks? in the I just Beat The GMAT! forum
“There are several things you should change / modify about your study plan. Here is the plan I recommend to anyone with the Mprep books: https://www.beatthegmat.com/materials-and-roadmap-for-a-newbie-t293996.html#787892 A few specific notes: You should definitely mix it up. Interleaving ...”
April 12, 2018
ceilidh.erickson posted a reply to Work in progress: 450 to 640. 190 points up: 90 more to go. in the I just Beat The GMAT! forum
“I couldn''t agree more! Chris is one of my absolute favorite colleagues, and he''s a brilliant teacher. Anyone would be lucky to take a class with him!”
April 12, 2018
Brent@GMATPrepNow posted a reply to The arithmetic mean of the list of numbers in the Problem Solving forum
“The arithmetic mean of the list of numbers above is 4. So, (3 + k + 2 + 8 + m + 3)/6 = 4 Multiply both sides by 6 to get: 3 + k + 2 + 8 + m + 3 = 24 Simplify: 16 + k + m = 24 Subtract 16 from both sides to get: k + m = 8 If k and m are integers k ≠ m, what is the median of the list? ...”
April 12, 2018
Max@Math Revolution posted a new topic called Which of the following is equal to x!/(x+1)! + (x+1)!/(x+2)! in the Problem Solving forum
“[GMAT math practice question] Which of the following is equal to $$\frac{x!}{\left(x+1\right)!}+\frac{\left(x+1\right)!}{\left(x+2\right)!}?$$ $$A.\ 1+\frac{1}{x}$$ $$B.\ 1+\frac{1}{\left(x+1\right)}$$ $$C.\ \frac{\left(2x+3\right)}{\left(x+1\right)\left(x+2\right)}$$ $$D.\ ...” April 12, 2018 Max@Math Revolution posted a reply to In the x-y plane, what is the slope of the line segment join in the Problem Solving forum “=> First, we find the x-intercepts of the curve. These occur when y = 0. Now, y=x^2-5x-6 => y = (x+1)(x-6). Thus, the x-intercepts are the points (-1,0) and (6,0), and the positive x-intercept is (6,0). As the y-intercept occurs when x = 0, it is the point (0,-6). Thus, the ...” April 12, 2018 Max@Math Revolution posted a new topic called If the elements of set X are a, b, c and d, is the average ( in the Data Sufficiency forum “[GMAT math practice question] If the elements of set X are a, b, c and d, is the average (arithmetic mean) of a, b, c, and d contained in set X? 1) The average (arithmetic mean) of every pair of elements of set X is 10. 2) The average (arithmetic mean) of every three elements chosen from set ...” April 12, 2018 Max@Math Revolution posted a reply to Is x>0? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” April 12, 2018 Rich.C@EMPOWERgmat.com posted a reply to If an organization were to sell n tickets for a theater in the Problem Solving forum “Hi All, We''re told that if an organization were to sell N tickets for a theater production, then the total revenue from ticket sales would be 20 percent GREATER than the total costs of the production. We''re asked if the organization actually sold all BUT 5 percent of the N tickets, then the ...” April 12, 2018 Rich.C@EMPOWERgmat.com posted a reply to A bag consists of 20 marbles, of which 5 are blue, 9 are red in the Problem Solving forum “Hi All, We''re told that a bag consists of 20 marbles: 5 are blue, 9 are red, and the remainder are white. We''re asked for the probability of randomly selecting one marble that will EITHER be red OR white. When it comes to probability questions, sometimes it''s easiest to determine the ...” April 12, 2018 Rich.C@EMPOWERgmat.com posted a reply to Study intensive plan - 12 weeks? in the I just Beat The GMAT! forum “Hi joanap, When it comes to studying for the GMAT, there isn''t a ''one size fits all'' Study Plan - and many GMATers end up adapting their studies as they become more aware of their particular strengths and weaknesses. This sometimes involves investing in new study materials. Based on what ...” April 12, 2018 Brent@GMATPrepNow posted a reply to A bag consists of 20 marbles, of which 5 are blue, 9 are red in the Problem Solving forum “Your solution is perfect. If you''re looking for an alternate approach, one option is to use the complement: P(red or white) = 1 - P(NOT red or white) = 1 - P(blue) = 1 - 5/20 = 15/20 = 3/4 Answer: A” April 11, 2018 Max@Math Revolution posted a new topic called Each letter of a 5-letter password must be a different lette in the Problem Solving forum “[GMAT math practice question] Each letter of a 5-letter password must be a different letter of the alphabet. Each password must contain 2 vowels and 3 consonants, and the vowels must not be adjacent to each other. How many different passwords of this form can be made? A. 957600 B. ...” April 11, 2018 Max@Math Revolution posted a reply to A jar contains 4 balls, labeled 1,2,3, and 4. A ball is sel in the Problem Solving forum “=> The total number of ways the two balls may be selected is 4C2 = ( 4 * 3 ) / ( 1 * 2 ) = 6. There are three ways in which the numbers on the two balls selected can have a difference of 1: ( 1, 2 ), ( 2, 3 ), and ( 3, 4 ). Thus, the probability is 3/6 or 1/2 Therefore, C is the ...” April 11, 2018 Max@Math Revolution posted a new topic called Events A, B, C and D are all possible outcomes of an experim in the Data Sufficiency forum “https://s18.postimg.cc/halt978md/4.11.png Events A, B, C and D are all possible outcomes of an experiment. In the table above, P(x) denotes the probability that event x occurs. What is P(A)? 1) P(A)+P(B)+P(C)=0.75 2) P(C)+P(D)=0.25” April 11, 2018 Max@Math Revolution posted a reply to Is x^2-y^2>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. Since we ...” April 11, 2018 Max@Math Revolution posted a reply to Is x^2-y^2>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. Since we ...” April 11, 2018 Max@Math Revolution posted a reply to Is x^2-y^2>x+y? in the Data Sufficiency forum “same posting” April 11, 2018 Max@Math Revolution posted a reply to Is x^2-y^2>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. Since we ...” April 11, 2018 Rich.C@EMPOWERgmat.com posted a reply to Last school year, each of the 200 students in the Data Sufficiency forum “Hi olilondon, The initial data in the prompt tells us that there are 200 students in the school and 8 performances. The information in Fact 2 tells us that the average number of performances attended PER STUDENT (meaning "per student in the school") was 4. By extension, that means that ...” April 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to Arithmetic Probability in the Problem Solving forum “Hi All, We''re told that among a group of 2,500 people, 35 percent invest in municipal bonds, 18 percent invest in oil stocks, and 7 percent invest in both municipal bonds and oil stocks. We''re asked if 1 person is to be randomly selected from the 2,500 people, what is the probability that the ...” April 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to A dress on sale in a shop is marked at SD. During the in the Problem Solving forum “Hi All, We''re told that the normal price of a dress is D, but when on sale has its price reduced by 15% and the staff are allowed a further 10% reduction on the discounted price. We''re asked for a staff member''s price in terms of D. This question can be solved by TESTing VALUES. IF.... ...” April 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to An artist who needs to buy only paint and canvas finds that in the Problem Solving forum “Hi All, We''re told that an artist who needs to buy only paint and canvas finds that the cost of the canvas has decreased by 40 percent, the cost of paint has decreased by 60 percent and the paint previously accounted for 4 TIMES as much of the expense of painting as did canvas. We''re asked for ...” April 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to How many factors of 330 are odd numbers greater than 1? in the Problem Solving forum “Hi All, We''re asked for the number of ODD factors of 330 that are greater than 1. Looking at the answer choices, we know that there are at least 3, but no more than 7, ODD factors, so a bit of ''brute force'' and prime factorization could get us the correct answer without too much trouble. ...” April 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMAT OG 2017 vs 2018 in the GMAT Books for Sale/Donation forum “Hi irisngbonus, Any of the recent Official Guides is a great source for practice questions, so if you already have the OG2017 then you likely don''t need the OG2018 (the OG2017 and the OG2018 are remarkably similar books; with each yearly publication, the newer book ''swaps out'' about 130 ...” April 10, 2018 Max@Math Revolution posted a new topic called In the x-y plane, what is the slope of the line segment join in the Problem Solving forum “[GMAT math practice question] In the x-y plane, what is the slope of the line segment joining the y-intercept and the positive x-intercept of the curve$$y=x^2-5x-6?$$A. 1 B. 2 C. 3 D. 4 E. 5” April 10, 2018 Max@Math Revolution posted a new topic called Is x>0? in the Data Sufficiency forum “[GMAT math practice question]$$Is\ x>0?1)\ (x+y)^2>(x-y)^22)\ x+y>x-y$$” April 10, 2018 Rich.C@EMPOWERgmat.com posted a reply to OG In a certain classroom, there are 80 books in the Data Sufficiency forum “Hi AbeNeedsAnswers, We''re told that in a certain classroom, there are 80 books, of which 24 are fiction and 23 are written in Spanish. We''re asked for the number of the FICTION books that are written in SPANISH. While this looks like an Overlapping Sets question at first glance, it''s actually ...” April 9, 2018 Rich.C@EMPOWERgmat.com posted a reply to Help - Tired of missing this type of question in the Data Sufficiency forum “Hi All, We''re asked if, in City X last April, the AVERAGE (arith mean) daily high temperature was GREATER than the MEDIAN daily high temperature. This is a YES/NO question and is a great example of a ''concept'' question (meaning that you don''t have to do much math to answer it IF you ...” April 9, 2018 Rich.C@EMPOWERgmat.com posted a reply to xy plane in the Data Sufficiency forum “Hi All, We''re told that in the xy-plane, Line K has a NEGATIVE SLOPE and passes through the point (-5, R). We''re asked if the X-intercept of line K is positive. This is a YES/NO question. The answer to this question depends on the Slope of Line K and the value of R, meaning that we can TEST ...” April 9, 2018 Rich.C@EMPOWERgmat.com posted a reply to Chauncy, an English bulldog, received 1,618 votes in the in the Problem Solving forum “Hi AAPL, We''re told that Chauncy recieved 1,618 votes which equaled approximately 20 percent of the vote. We''re asked for the approximate percent of the REMAINING votes he would have needed to receive in order to win 30 percent of the total votes. This question can be solved with Arithmetic ...” April 9, 2018 Rich.C@EMPOWERgmat.com posted a reply to Which resources to use? in the GMAT Strategy forum “Hi ArsalanS, Since it sounds like you''re just beginning your studies, then it would be a good idea to take a FULL-LENGTH practice CAT Test; you can download 2 for free from www.mba.com (and they come with some additional practice materials). If you want to do a little studying first, so that you ...” April 9, 2018 Brent@GMATPrepNow posted a reply to If a copier makes 3 copies every 4 seconds, then continues in the Problem Solving forum “The above solution is perfect, but here''s another approach... We can apply some number sense in a series of steps GIVEN: Copier makes 3 copies every 4 seconds So: the copier makes 45 copies every 60 seconds In other words, the copier makes 45 copies every 1 MINUTE Keep going: the copier ...” April 9, 2018 Brent@GMATPrepNow posted a reply to OG2015 DS If n + k = m in the Data Sufficiency forum “I''d typically use the same approach that Ceilidh used, but here''s one more approach... Target question: What is the value of k? Given: n + k = m Statement 1: n = 10 Let''s TEST some values There are several values of m, n and k that satisfy statement 1. Here are two: Case a: m = ...” April 9, 2018 Brent@GMATPrepNow posted a reply to value of y in the Problem Solving forum “There are infinitely many right triangles that have an area of 1. So, one approach is to find a triangle that meets the given conditions, and see what conclusions we can draw. Here''s one such right triangle: https://s26.postimg.org/ctwnpq92d/image.png This meets the conditions that the ...” April 9, 2018 Max@Math Revolution posted a new topic called A jar contains 4 balls, labeled 1,2,3, and 4. A ball is sel in the Problem Solving forum “[GMAT math practice question] A jar contains 4 balls, labeled 1,2,3, and 4. A ball is selected from the jar, and its number is recorded before it is returned to the jar. If a second ball is then selected from the jar, what is the probability that the difference between the numbers on the two ...” April 9, 2018 Max@Math Revolution posted a new topic called Is x^2-y^2>x+y? in the Data Sufficiency forum “[GMAT math practice question]$$Is\ x^2-y^2>x+y?1)\ x-y<02)x+y<0$$” April 9, 2018 Max@Math Revolution posted a reply to If Rn+1-Rn=(-1/2)n for positive integers n, which of the fol in the Problem Solving forum “=> If n = 1, then R2 – R1 = -(1/2) < 0, and we have R1 > R2. If n = 2, then R3 – R2 = 1/4 > 0, and we have R3 > R2. Furthermore, R3 – R1 = ( R3 – R2 ) + ( R2 – R1 ) = 1/4 + (-1/2) = -1/4 < 0, and we have R3 < R1. Thus R1 > R3 > R2. Therefore, C is the ...” April 9, 2018 Max@Math Revolution posted a reply to If x > y >0, a < 0 and b > 0, then which of the in the Problem Solving forum “=> Statement I. x = 2, y = 1, a = -1, b = 1: False Statement II. x = 2, y = 1, a = -1, b = 1: False Statement III. Since a < 0 and x > 0, -ax > 0. And by > 0 since b > 0 and y > 0. by – ax = by + (-ax) > 0. True Therefore, C is the answer. Answer: C” April 9, 2018 Max@Math Revolution posted a reply to If the average (arithmetic mean) price of apples, bananas an 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 9, 2018 Max@Math Revolution posted a reply to If the average (arithmetic mean) of 100 numbers is 50, what 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 9, 2018 Rich.C@EMPOWERgmat.com posted a reply to If 2^(x + y) = 4^8, then in the Data Sufficiency forum “Hi All, We''re told that 2^(X + Y) = 4^8. We''re asked for the value of Y. This question is based heavily on how you recognize patterns and organize your information. To start, we can rewrite the ''right side'' of the equation to put it in a ''power of 2.'' Since 4 = 2^2, the value 4^8 can be ...” April 8, 2018 Rich.C@EMPOWERgmat.com posted a reply to Harmonic Mean Solution? in the Data Sufficiency forum “Hi All, We''re asked for the RATIO of the average (arithmetic mean) height of students in Class X to the average height of students in Class Y. This is a great example of a ''concept question'', meaning that you don''t have to do much math to answer it if you recognize the concept(s) involved. ...” April 8, 2018 Rich.C@EMPOWERgmat.com posted a reply to CO ordiates ! in the Data Sufficiency forum “Hi All, We''re told that Set S is a set of points in the plane (meaning points in a graph). We''re asked for the number of distinct triangles that can be drawn that have three of the points in S as vertices. To start, it''s worth noting that any 2 DISTINCT points in a plane will form a line ...” April 8, 2018 Rich.C@EMPOWERgmat.com posted a reply to Tens digit in the Data Sufficiency forum “Hi All, We''re told that X is a positive integer. We''re asked for the TENS DIGIT of X. This question can be solved by TESTing VALUES. 1) X divided by 100 has a remainder of 30 IF.... X = 30, then 30/100 = 0 r 30 and the answer to the question is 3 X = 130, then 130/100 = 1 r 30 and ...” April 8, 2018 Brent@GMATPrepNow posted a reply to Is a=−b? in the Data Sufficiency forum “Target question: Is a = −b? This is a good candidate for rephrasing the target question. Aside: Here’s a video with tips on rephrasing the target question: Take the equation a = −b and add b to both sides to get: a + b= 0 So, we get.... REPHRASED target question: Is a + b= 0? ...” April 8, 2018 Brent@GMATPrepNow posted a reply to During Thanksgiving weekend, a car rental company rented in the Problem Solving forum “Another approach is to use the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions). Here, we have a population of vehicles, and the two characteristics are: ...” April 8, 2018 Rich.C@EMPOWERgmat.com posted a reply to Functions in the Problem Solving forum “Hi All, We''re told that the function f is defined by f(X) = (√X) - 10 for all positive numbers X and that U = f(T) for some positive numbers T and U. We''re asked for T in terms of U. While this question might look ''scary'', you can solve it by doing some basic work on your pad and TESTing ...” April 7, 2018 Rich.C@EMPOWERgmat.com posted a reply to Range of Values in the Problem Solving forum “Hi All, We''re told that X^2 - 2 < 0. We''re asked which of the following specifies ALL of the possible values of X. If you recognize the patterns involved in this question, then you don''t actually have to do much math to answer it. To start, we should look at a simpler example that''s ...” April 7, 2018 Rich.C@EMPOWERgmat.com posted a reply to In the equation above, k is a constant. in the Problem Solving forum “Hi All, For most Test Takers, working through the basic Arithmetic would arguably be the fastest and easiest approach (as Brent has shown). If you ever get ''stuck'' on a question though, it''s important to remember that GMAT questions are almost always based around patterns. With this ...” April 7, 2018 Rich.C@EMPOWERgmat.com posted a reply to Three gnomes and three elves sit down in a row of six... in the Problem Solving forum “Hi AAPL, Your approach to this prompt is spot-on! With a small adjustment to your thinking, there''s a way to perform all of the math in one calculation. We''re given the specific rule that the seating will have to be either GEGEGE or EGEGEG. The first chair can have EITHER a gnome or an ...” April 7, 2018 Rich.C@EMPOWERgmat.com posted a reply to Work in progress: 450 to 640. 190 points up: 90 more to go. in the I just Beat The GMAT! forum “Hi Aman86, That''s fantastic news about your score improvements thus far. Raising your scores from a 450 to a 640 is a substantial achievement! Since you''re continuing your studies, you have to be mindful to define WHY you''re getting questions wrong (at your level, the ''content'' becomes less ...” April 7, 2018 Marty Murray posted a reply to Help me study for the GMAT! ^_^ in the GMAT Strategy forum “To get motivated to train for and rock the GMAT, make it into a game for yourself. You could take a practice test and think of it as a video game. How many questions can you get right before the time runs out? Then, after you take the test, go through it and figure out what you could learn in ...” April 7, 2018 Marty Murray posted a reply to Best Resource to move from 700 to 750 in the GMAT Strategy forum “Hi. Here are two key things to do to increase your score. For quant, figure out what types of questions give you the most trouble, and learn to get questions of each of those types right, type by type. You can drive you quant score up point by point this way. For instance, if you aren''t ...” April 7, 2018 Marty Murray posted a reply to A bag has 4 blue, 3 yellow and 2 green balls. The balls in the Problem Solving forum “The truth is that the wording of the question is not clear. From the way the question is worded, one might decide that the order matters, but it doesn''t really. We are looking only for how many different combinations of colored balls can be picked out. How can you tell that order does not ...” April 7, 2018 Marty Murray posted a reply to Set Problem in the Problem Solving forum “The first thing that we can do is to eliminate all the students who failed all three. 100 students - 10 students who failed all three = 90 students who passed at least one test. Now we have 90 students who passed at least one, but we have 80 who passed Physics, 70 who passed Chemistry, and 40 ...” April 7, 2018 Brent@GMATPrepNow posted a reply to Three gnomes and three elves sit down in a row of six... in the Problem Solving forum “Your solution is perfect. It''s also how I would have solved it. Cheers, Brent” April 7, 2018 Brent@GMATPrepNow posted a reply to Which expression is equivalent to (5x − 3y)^2? in the Problem Solving forum “One option is to use the FOIL method to expand the product (that''s the solution I''d typically use) However, we can also use this approach: First recognize that we''re looking for an expression that''s EQUIVALENT to (5x − 3y)^2 for all values of x and y So, for example, let''s determine the ...” April 7, 2018 Brent@GMATPrepNow posted a reply to OG2015 PS If x = 1- 3t in the Problem Solving forum “GIVEN: x = 1- 3t y = 2t - 1 We want x = y Substitute to get: 1- 3t = 2t - 1 Add 3t to both sides: 1 = 5t - 1 Add 1 to both sides: 2 = 5t Divide both sides by 5 to get: 2/5 = t Answer: D Cheers, Brent” April 7, 2018 Brent@GMATPrepNow posted a reply to A basketball coach will select the members of a five-player in the Problem Solving forum “P(John and Peter both on the team) = (# of teams that include both John and Peter) / (total # of 5-person teams possible) a) # of teams that include both John and Peter - Put John and Peter on the team. This can be accomplished in 1 way - Select the remaining 3 team-members from the remaining 7 ...” April 7, 2018 Rich.C@EMPOWERgmat.com posted a reply to Is a=−b? in the Data Sufficiency forum “Hi VJesus12, We''re asked if A = (-B). This is a YES/NO question and can be solved by TESTing VALUES and/or with Number Properties. This question essentially asks if A and B are exact opposites of one another (for example 3 and -3). 1) (A)(B) > B^2 With the inequality in Fact 1, we ...” April 7, 2018 Rich.C@EMPOWERgmat.com posted a reply to A certain class consists of 8 students, including Kim. in the Problem Solving forum “Hi All, We''re told that a certain class consists of 8 students, including Kim. Each day, three tasks must be completed and are assigned as follows: one of the 8 students is selected at random to complete Task A, one of the remaining 7 students is selected at random to complete Task B, and one ...” April 6, 2018 Rich.C@EMPOWERgmat.com posted a reply to Big News! The GMAT® Exam Will Be 30 Minutes Shorter in the Ask the Test Maker forum “Hi All, The information provided here is exceptionally important - especially for anyone planning to take the GMAT in the next 1-2 months. While the content, scoring, etc. should be the same when you take this new, shorter GMAT, it will likely take time for each Test Taker to properly acclimate ...” April 6, 2018 Rich.C@EMPOWERgmat.com posted a reply to 2 months plan - need guidance in the Ask the Test Maker forum “Hi krithika93, Earlier this week, GMAC made a formal announcement defining some changes that will be taking place to the format of the Official GMAT (beginning April 16, 2018). These changes primarily impact the overall length of the Exam (meaning the number of questions in the Quant and Verbal ...” April 6, 2018 Rich.C@EMPOWERgmat.com posted a reply to B School application advice in the I just Beat The GMAT! forum “Hi Sun Light, The process of applying to (and ultimately attending) Business School will require a big investment of time, money and energy on your part, so you really should make sure that the Programs that you apply to match your career goals/needs. There are a variety of factors that go into ...” April 6, 2018 Max@Math Revolution posted a new topic called If Rn+1-Rn=(-1/2)n for positive integers n, which of the fol in the Problem Solving forum “n+1-Rn=(-1/2)^n for positive integers n, which of the following is true? A. R1>R3>R2 B. R1>R2>R3 C. R3>R1>R2 D. R2>R3>R1 E. R3>R2>R1” April 6, 2018 Max@Math Revolution posted a reply to Car A drives from P to Q at a constant rate of 100 km per ho in the Problem Solving forum “=> After car A has driven for 1 hour, the distance between car A and train B is 500 km. Car A and train B approach each other at a speed of 250 km/hr. This means that they will take 2 hours to meet each other. When they meet, car A will have traveled for 3 hours, and have covered a ...” April 6, 2018 Max@Math Revolution posted a new topic called If the average (arithmetic mean) price of apples, bananas an in the Data Sufficiency forum “[GMAT math practice question] If the average (arithmetic mean) price of apples, bananas and oranges is 3.00 per pound, what is their median price? 1) The price of apples is 3.00 per pound. 2) The price of bananas is 2.97 per pound.” April 6, 2018 Max@Math Revolution posted a reply to Is x – y > 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 6, 2018 ceilidh.erickson posted a reply to Lionel left his house and walked towards Walt's house in the Problem Solving forum “Here are some other rate problems for which drawing a picture or charting it out would have helped: https://www.beatthegmat.com/two-trains-are-heading-toward-each-other-on-a-750-kilometer-t300201.html#807838 https://www.beatthegmat.com/rate-problem-from-official-guide-t272272.html#796288 ...” April 5, 2018 ceilidh.erickson posted a reply to Lionel left his house and walked towards Walt's house in the Problem Solving forum “Many students find it easiest to draw pictures on DISTANCE problems. Chart out what happens hour by hour. First, their starting points: https://s7.postimg.org/d3yxqllh3/Screenshot_2018-04-05_19.26.02.png Then draw how far Lionel went in the first 2 hrs: ...” April 5, 2018 ceilidh.erickson posted a reply to OG2015 DS In triangle PQR, if in the Data Sufficiency forum “We know that the 3 side lengths are x, x + 2, and y. We also know that in any triangle, the greatest angle will be across from the longest side. Therefore, we can rephrase our question this way: Which is longest: x, x + 2, or y? Since x + 2 is obviously longer than x, we can ignore that side. ...” April 5, 2018 ceilidh.erickson posted a reply to OG2015 PS If n is a in the Problem Solving forum “Building on what Brent said, it helps to recognize that (n)(n + 1)(n + 2) and similar structures are signals of consecutive integers. Here are some other variations on the same pattern: https://www.beatthegmat.com/is-x-x-2-x-4-divisible-by-12-t276379.html ...” April 5, 2018 ceilidh.erickson posted a reply to OG2015 DS If n + k = m in the Data Sufficiency forum “For more on C-traps, see: https://www.beatthegmat.com/og-13-156-t289252.html#766502 https://www.manhattanprep.com/gmat/blog/2014/04/16/avoiding-the-c-trap-in-data-sufficiency/ https://www.manhattanprep.com/gmat/blog/2012/07/31/4-common-types-of-data-sufficiency-traps/” April 5, 2018 ceilidh.erickson posted a reply to OG2015 DS If n + k = m in the Data Sufficiency forum “Whenever you''re given information about 2 or more variables and asked the value of one of them, rephrase in terms of the others. Question: k = ? Given: n + k = m First, solve for k: k = m - n Thus, if we want to know the value of k, our rephrased question is: what is the value of m - ...” April 5, 2018 ceilidh.erickson posted a reply to OG2015 DS If x and y in the Data Sufficiency forum “Slight variation on Brent''s explanation... We rephrase the target question from the beginning as: is x/y > 1 --> is x > y ? (Because we know that both x and y are positive, we can multiply both sides by y). We are looking for a RELATIVE relationship between x and y. (1) xy > ...” April 5, 2018 Max@Math Revolution posted a new topic called If x > y >0, a < 0 and b > 0, then which of the following is in the Problem Solving forum “[GMAT math practice question] If x > y >0, a < 0 and b > 0, then which of the following is (are) true? Ⅰ. ax+by > 0 Ⅱ.ax-by > 0 Ⅲ. by-ax > 0 A. Ⅰonly B. Ⅱ only C. Ⅲ only D.Ⅰ& Ⅱ only E. Ⅱ & Ⅲ only” April 5, 2018 Max@Math Revolution posted a reply to which of the following is true? in the Problem Solving forum “Since$$\sqrt{\frac{1}{5}}<\sqrt{\frac{1}{3}}<\sqrt{\frac{1}{2}}$$We have$$\sqrt{\frac{1}{5}}+\sqrt{\frac{1}{3}}-\sqrt{\frac{1}{2}}<\sqrt{\frac{1}{5}}-\sqrt{\frac{1}{3}}+\sqrt{\frac{1}{2}}<\ -\sqrt{\frac{1}{5}}+\sqrt{\frac{1}{3}}+\sqrt{\frac{1}{2}} So ...”
April 5, 2018
Max@Math Revolution posted a new topic called If the average (arithmetic mean) of 100 numbers is 50, what in the Data Sufficiency forum
“[GMAT math practice question] If the average (arithmetic mean) of 100 numbers is 50, what is the standard deviation of the numbers? 1) The smallest number is 50 2) The largest number is 50”
April 5, 2018
Max@Math Revolution posted a reply to Is √x+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. Since we ...”
April 5, 2018