Brent@GMATPrepNow posted a new topic called If x is a positive integer, which of the following COULD in the Problem Solving forum
“If x is a positive integer, which of the following COULD represent the lengths of the 3 sides of a triangle? i) x, 2x + 2, x + 2 ii) 2x, 3x, 2x - 7 i) x/2, x/6, x/4 A) i only B) ii only C) iii only D) i and ii only E) ii and iii only Answer: B Difficulty level: 600 – 650 Source: ...”
Yesterday
Brent@GMATPrepNow posted a reply to subject-verb agreement in the Sentence Correction forum
“This is a tricky question because the subject appears AFTER the verb. In most sentences, the verb appears after the subject. Example: Yesterday, Jane bought five acres of ocean floor. The primary verb phrase is has/have grown. To determine the subject that corresponds with this ...”
Yesterday
Brent@GMATPrepNow posted a reply to If x, y and z are different positive integers, and y is the in the Problem Solving forum
“Let''s examine each statement separately... i) y < x If y is the greatest common divisor of x, y and z, we can also say that y is a divisor of x IMPORTANT CONCEPT: The divisors of a number are always less than or equal to that number. For example, the divisors of 10 are {1, 2, 5, 10). So, ...”
Yesterday
GMATGuruNY posted a reply to South Korea has witnessed the world's most dramatic growth in the Sentence Correction forum
“A: from conversions rather than the population Here, CONVERSIONS are illogically compared to THE POPULATION. Eliminate A. C: conversions instead of the...increasing Here, CONVERSIONS are illogically compared to THE INCREASING. D and E: Church membership is expanding by 6.6 percent a year, ...”
Yesterday
GMATGuruNY posted a reply to A lecture course consists of 595 students. The students are in the Problem Solving forum
“Number of discussion sections = (total number of students)/(number of students per section). section. Since the total number of students = 595, the number of students per section must be a FACTOR OF 595. The question stem asks for a value that CANNOT be the number of students per classroom. ...”
Yesterday
GMATGuruNY posted a reply to There are 8 disks in a container that are numbered 23, 24, in the Problem Solving forum
“P = (good outcomes)/(all possible outcomes). All possible outcomes: From the 8 numbers, the number of ways to choose 4 = 8C4 = (8*7*6*5)/(4*3*2*1) = 70. Good outcomes: For 27 to be the median of the 5 numbers, two of the 4 numbers selected must be LESS THAN 27, while the other two must be ...”
Yesterday
Brent@GMATPrepNow posted a reply to A set has exactly five consecutive positive integers in the Problem Solving forum
“What''s the source of this question? It seems very un-GMAT-like to "round" 16 2/3 to 16.4 without some kind of language that suggests we''re looking for the best APPROXIMATE answer.”
Yesterday
Brent@GMATPrepNow posted a reply to If Lucy walks to work at a rate of 4 miles per hour in the Problem Solving forum
“A quick approach is to assign a nice value to the distance from home to work. That is, we want a distance that works well with the two speeds (4 mph and 6 mph) Let''s say the distance from home to work = 12 miles Time TO work = distance/speed = 12/4 = 3 hours Time FROM work = distance/speed = ...”
May 25, 2018
Brent@GMATPrepNow posted a reply to Joe’s restaurant has exactly 3 items on its menu in the Data Sufficiency forum
“Target question: Can the restaurant make at least 100 meals? Statement 1: Each Prawns Only meal requires 15 prawns The restaurant has 592 prawns. Before calculating 592/15, we can see that, IF the restaurant had 600 prawns, then we could make 40 Prawns Only meals. Since there are 592 ...”
May 25, 2018
Brent@GMATPrepNow posted a reply to Solution X is 30% alcohol by volume, solution Y is 10% in the Problem Solving forum
“We can avoid tedious calculations by creating this mixture in parts First combine 20 gallons of solution Y (10% alcohol) with 20 gallons of solution Z (40% alcohol) Since we have 25% So, now have 40 gallons of a solution that''s 25% alcohol. Next, add 41 gallons of solution X (30% alcohol) ...”
May 25, 2018
Brent@GMATPrepNow posted a reply to If 0 < x < y, then which of the following MUST be true in the Problem Solving forum
“Let''s examine each statement individually: A) (x + 2)/(y + 2) > x/y Since y is POSITIVE, we can safely take the given inequality and multiply both sides by y to get: (y)(x+2)/(y+2) > x Also, if y is POSITIVE, then (y+2) is POSITIVE, which means we can safely multiply both sides by (y+2) ...”
May 25, 2018
Brent@GMATPrepNow posted a reply to Which of the following leads to the correct mathematical in the Problem Solving forum
“------ASIDE----------------------- 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, ...”
May 25, 2018
Brent@GMATPrepNow posted a reply to Mrs. Jones divided $120 evenly among her children. Tom, the in the Problem Solving forum
“Let x = # children that Mrs. Jones has This means x-1 = # of Tom''s siblings. If Tom gives each sibling $6, the total amount that Tom gave to siblings = 6(x - 1) AFTER giving $6 to each sibling, Tom had $12 remaining. So, BEFORE he gave away the money, the amount Tom had = 12 + 6(x - 1) = 12 ...”
May 25, 2018
GMATGuruNY posted a reply to Mrs. Jones divided $120 evenly among her children. Tom, the in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the total number of children. When the correct answer is plugged in, Tom resulting amount = $12. B: 5 children, implying that the original share per child = 120/5 = 24 After Tom gives $6 to each of his 4 siblings, Tom''s resulting amount = 24 - (4*6) ...”
May 25, 2018
GMATGuruNY posted a reply to Which of the following leads to the correct mathematical in the Problem Solving forum
“This problem does indeed require that we count the number of possible arrangements. BANANA = 6 letters. The number of ways to arrange 6 distinct elements = 6!. But the elements here are not all distinct. There are 3 identical A''s and 2 identical N''s. When an arrangement includes ...”
May 25, 2018
GMATGuruNY posted a reply to What is the remainder when 7^100 is divided by 50? in the Problem Solving forum
“If the last two digits of an integer form a value less than 50, then dividing the integer by 50 will yield a remainder equal to the last 2 digits of the integer: 121/50 = 2 R21 9044/50 = 180 R44 25038/50 = 500 R38. Examine the last two digits for small powers of 7 and look for a PATTERN: 7¹ ...”
May 25, 2018
Brent@GMATPrepNow posted a reply to If x = m − 1, which of the following is true when m = 1/2? in the Problem Solving forum
“Given: x = m - 1 So, if m = 1/2, then x = 1/2 - 1 = -1/2 Or we can say that x = -0.5 So, x^0 = (-0.5)^0 = 1 x^1 = (-0.5)^1 = -0.5 x^2 = (-0.5)^2 = 0.25 x^3 = (-0.5)^3 = -0.125 The biggest value (1) is for x^0 The next biggest value (0.25) is for x^2 The next value (-0.125) is for x^3 ...”
May 25, 2018
Brent@GMATPrepNow posted a reply to Is the product pqr divisible by 12? in the Data Sufficiency forum
“Target question: Is the product pqr divisible by 12? It certainly LOOKS like the correct answer is C. However, we are not told whether ALL of the numbers (p, q and r ) are integers. Sure, statements 1 and 2 indirectly tell us that p and q are divisible by 3 and 4, but r may or may not be an ...”
May 25, 2018
GMATGuruNY posted a reply to To understand why some people are incapable to learn in the Sentence Correction forum
“A and B: some people are incapable to learn The portion in red is unidiomatic. Incorrect: X is incapable to do Y Correct: X is incapable OF doing Y Eliminate A and B. C: To understand...the brains of 96 convicts Here, to understand seems to refer to the brains, implying that THE BRAINS are ...”
May 25, 2018
GMATGuruNY posted a reply to The alarm of a certain clock rings every 15 minutes. If the in the Problem Solving forum
“After the first ring at 12:15, 23 additional rings are required to yield a total of 24 rings. Since the clock rings every 1/4 hour, and 23 additional rings are required, the total time needed for 23 additional rings = (¼)(23) = 5 ¾ hours = 5 hours, 45 minutes. Thus: 24th ring = (12:15) + (5:45) ...”
May 25, 2018
GMATGuruNY posted a reply to Let abcd be a general four-digit number and all the in the Problem Solving forum
“Step 1: Choose 3 digits Since 0 < d ≤ 9, a, b and c must be composed of 3 digits with a nonzero sum less than or equal to 9: 1, 2, 3 --> d = 1+2+3 = 6 1, 2, 4 --> d = 1+2+4 = 7 1, 2, 5 --> d = 1+2+5 = 8 1, 2, 6 --> d = 1+2+6 = 9 1, 3, 4 --> d = 1+3+4 = 8 1, 3, 5 --> d ...”
May 25, 2018
beatthegmat posted a reply to Delete my account in the Suggestions and Feedback forum
“Hi sophylaelin, Your account has been deleted. Best, The BeatTheGMAT Team”
May 25, 2018
beatthegmat posted a reply to Delete Account in the Suggestions and Feedback forum
“Hi Commoditybull, Your account has been deleted. Best, The BeatTheGMAT Team”
May 25, 2018
GMATGuruNY posted a reply to Three men and 2 women will present 5 consecutive speeches in the Problem Solving forum
“P(at least 2 men speak consecutively) = 1 - P(no men speak consecutively). For no men to speak consecutively, the order of the speeches must be as follows: man-woman-man-woman-man. P(1st speaker is a man) = 3/5. (Of the 5 speakers, 3 are men.) P(2nd speaker is a woman) = 2/4. (Of the 4 ...”
May 24, 2018
GMATGuruNY posted a reply to By approximately what percent did the sale of nonfiction in the Problem Solving forum
“According to the undashed line on the chart: Nonfiction in 1984 = 40%. Nonfiction in 1987 ≈ 58%. Thus: Percent increase from 40 to 58 = (difference/original) * 100 = (18/40) * 100 = 45%. The correct answer is A.”
May 24, 2018
DavidP started following chia021
May 24, 2018
GMATGuruNY posted a reply to It has been estimated that the annual cost to the United in the Sentence Correction forum
“In A, B and D, annual and a year are redundant. Eliminate A, B and D. E: It has been estimated...because of illiteracy. Here, a reader could construe that illiteracy CAUSES 20 billion a year to be estimated. Not the intended meaning. Eliminate E. The correct answer is C.”
May 24, 2018
GMATGuruNY posted a reply to The median of 5 numbers is 50, and their range is 40. If the in the Problem Solving forum
“I suspect that the question stem has a typo and should read as follows: The median of 5 numbers is 50. The median of the 3 smallest numbers is 40. The 5 numbers are as follows: __ 40 __ 50 __ __ Test whether I, II and III could be the range of the 3 largest numbers. If the ...”
May 24, 2018
GMATGuruNY posted a reply to How many 4-digit integers have the form abcd, where b is eve in the Problem Solving forum
“Case 1: b=0, implying that d ≥ 0 Number of options for d = 10. (Any of the 10 digits.) Number of options for a = 9. (Any digit 1-9.) Number of options for c = 10. (Any of the 10 digits.) To combine the options above, we multiply: 10*9*10 = 900. Case 2: b=2, implying that d ≥ 4 Number of ...”
May 24, 2018
GMATGuruNY posted a reply to When the digits of two-digit, positive integer M are reverse in the Data Sufficiency forum
“Let T = the TENS digit of M and U = the nonzero UNITS digit of M. Then: M = 10T + U. Since the digits in N are reversed, N = 10U + T. Resulting difference: M-N = (10T + U) - (10U + T) = 9T - 9U = 9(T-U). Since the greatest possible value of T-U = 9-1 = 8, M-N must be a MULTIPLE OF 9 NO ...”
May 24, 2018
GMATGuruNY posted a reply to If a and b are positive integers in the Data Sufficiency forum
“It is a good idea to know the following: 1/11 = 0.090909... Thus: 9/11 = 9(0.090909...) = 0.818181...”
May 23, 2018
GMATGuruNY posted a reply to At 8am on Thursday, two workers, A and B, each start working in the Problem Solving forum
“Worker A takes two 8-hour days to produce a lamp, for a total of 16 hours. Since Worker B finishes sometime Friday morning, B takes between 8 and 12 hours to produce a lamp. Let each lamp = 48 units. A''s rate = w/t = 48/16 = 3 unit per hour. If B takes 8 hours to produce a lamp, B''s rate = ...”
May 23, 2018
GMATGuruNY posted a reply to Is k^2 odd? in the Data Sufficiency forum
“The median for an EVEN NUMBER of consecutive integers will always be a NON-INTEGER: 1, 2 --> median = 1.5 1, 2, 3, 4 --> median = 2.5. 1, 2, 3, 4, 5, 6 --> median = 3.5. The median for an ODD NUMBER of consecutive integers will always be an INTEGER: 1, 2, 3 --> median = 2. 1, 2, ...”
May 23, 2018
Brent@GMATPrepNow posted a reply to If x and y are positive integers, and 4x is the least in the Problem Solving forum
“Let''s find some values for x and y that satisfy the given information and see what happens.... If x = 3 and y = 4, then the least common multiple of x and y is 12. Notice that 12 = 4x, so x = 3 and y = 4 work perfectly. Now let''s plug x = 3 and y = 4 into the statements... i) 3 is the ...”
May 23, 2018
Brent@GMATPrepNow posted a reply to If x and y are integers, and in the Data Sufficiency forum
“Target question: What is the value of x? Given: x and y are non-zero integers, and When we see this given information, we should be thinking of a few different ways for the equation to hold true. For example, if x = 1, then (-x)^x = (-1)^1 = -1. What value of y is necessary for y^y to ...”
May 23, 2018
Brent@GMATPrepNow posted a new topic called Solution X is 30% alcohol by volume, solution Y is 10% in the Problem Solving forum
“Solution X is 30% alcohol by volume, solution Y is 10% alcohol by volume, and solution Z is 40% alcohol by volume. If 41 gallons of solution X, 20 gallons of solution Y, and 20 gallons of solution Z are combined, which of the following best approximates the percentage of alcohol in the resulting ...”
May 23, 2018
Brent@GMATPrepNow posted a reply to If wxy ≠ 0, does x = y? in the Data Sufficiency forum
“Target question: Does x = y? Given: wxy ≠ 0 IMPORTANT: When I scan the two statements, I can see that this question is testing us on our knowledge about when we can conclude that two exponents are equal. For statement 1, many students will conclude that, if w^x = w^y, then it must be ...”
May 23, 2018
GMATGuruNY posted a reply to Is x - y > 0? in the Data Sufficiency forum
“Question stem, rephrased: Is x > y? Statement 1: Case 1: y=0, implying that x > |0| and thus x > 0 Case 2: y=1, implying that x > |1| and thus x > 1 Case 3: y=-1, implying that x > |-1| and thus x > 1 Case 4: y=10, implying that x > |10| and thus x > 10 Case 5: ...”
May 23, 2018
GMATGuruNY posted a reply to If x and y are positive integers, does x/y = 7/9? in the Data Sufficiency forum
“Statement 1: Test whether it''s possible that x/y = 7/9 when x=103: 103/y = 7/9 7y = 103*9 y = (103*9)/7 = noninteger. Since y must be a positive integer, it is not possible that x/y = 7/9. Thus, the answer to the question stem is NO. SUFFICIENT. To compare fractions: 1. Multiply the ...”
May 23, 2018
Brent@GMATPrepNow posted a reply to What is the sum of the areas of two squares with sides of in the Problem Solving forum
“Area of square = (length of one side)² Area of square with side of length 1 = 1² = 1 Area of square with side of length 3 = 3² = 9 Sum of areas = 1 + 9 = 10 Answer: D Cheers, Brent”
May 23, 2018
GMATGuruNY posted a reply to In 2003, the number of girls attending Jefferson High in the Problem Solving forum
“Test the SMALLEST POSSIBLE CASE. Since both populations increase by 20% = 1/5, the original number of boys and the original number of girls must each be a multiple of 5. Since in 2003 there must be an equal number of boys and girls, the smallest possible case is as follows: 2003: boys = 5 and ...”
May 23, 2018
GMATGuruNY posted a reply to Much like the belief that the world is flat, challenged by in the Sentence Correction forum
“OA: Much like the belief that the world is flat, challenged by Galileo, there are currently widely-held hypotheses. Here, COMMA + challenged is incorrectly preceded by the clause in red. A COMMA + VERBed modifier must be preceded by a NOUN or NOUN PHRASE. Also, the referent for an introductory ...”
May 23, 2018
GMATGuruNY posted a reply to Low temperature in the Sentence Correction forum
“The conclusion in red is not necessarily true. and may serve to connect concurrent actions. Mary was sitting and reading. Here, the two actions in blue are performed at the same time.”
May 23, 2018
GMATGuruNY posted a reply to How many 4-digit integers have the form abcd, where b is eve in the Problem Solving forum
“Careful! The cases above are invalid because they violate the condition that b must be even.”
May 23, 2018
GMATGuruNY posted a reply to "A" and "B" run around a circular track in the Problem Solving forum
“Middle of the 5th round = 4.5 laps. (4 full laps + half of the 5th lap.) Since A''s rate = 70 seconds per lap, the time for A to complete 4.5 laps = (total number of laps)(number of seconds per lap) = (4.5)(70) = 315 seconds. We can PLUG IN THE ANSWERS, which represent the number of seconds for ...”
May 22, 2018
GMATGuruNY posted a reply to NUMBERS in the Problem Solving forum
“For the 3 words to be switched on simultaneously, each must reach the END OF ITS RESPECTIVE ON-OFF CYCLE. On-off cycle for RON: (3 seconds on) + (47/6 seconds off) = 18/6 + 47/6 = 65/6 seconds. On-off cycle for AND: (3 seconds on) + (4/3 seconds off) = 18/6 + 8/6 = 26/6 seconds. On-off cycle ...”
May 22, 2018
GMATGuruNY posted a reply to NUMBERS in the Problem Solving forum
“When an integer is raised to consecutive powers, the resulting units digits repeat in a CYCLE. 57867¹⁹²⁵⁷⁶: 7¹ --> units digit of 7. 7² --> units digit of 9. (Since the product of the preceding units digit and 7 = 7*7 = 49.) 7³ --> units digit of 3. (Since the product ...”
May 22, 2018
GMATGuruNY posted a reply to NUMBERS in the Problem Solving forum
“Make a list of two-digit numbers that are 18 less than a perfect square: 36-18 = 18 49-18 = 31 64-18 = 46 81-18 = 63 100-18 = 82 Check whether each option above is equal to 18 less than the square of its digit sum: 18 = (1+8)² - 18 31 = (3+1)² - 18 46 = (4+6)² - 18 63 = (6+3)² - 18 ...”
May 22, 2018
GMATGuruNY posted a reply to NUMBERS in the Problem Solving forum
“To MINIMIZE the number of rooms, we must MAXIMIZE the number of students per room. Let x = the number of students per room. Since each room must have x students -- and we want x to be as large as possible -- x must be equal to the GREATEST COMMON FACTOR of 315, 420, and 1155: 315 = 3*3*5*7 420 ...”
May 22, 2018
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 ...”
May 22, 2018
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 ...”
May 22, 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? 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 ...”
May 22, 2018
GMATGuruNY posted a reply to How many gallons of water must be mixed with 1 gallon in the Problem Solving forum
“Salt percentage in the original solution: 15%. Salt percentage in the added water: 0%. Salt percentage in the mixture: 10%. Let S = the original solution and W = the added water. The following approach is called ALLIGATION -- a very efficient way to handle MIXTURE PROBLEMS. Step 1: Plot ...”
May 22, 2018
GMATGuruNY posted a reply to How many gallons of water must be mixed with 1 gallon in the Problem Solving forum
“Amount of salt = 15% of 1 gallon = 0.15 gallon. We can PLUG IN THE ANSWERS, which represent the amount of water that must be added to reduce the salt concentration to 10%. B: 2/3 gallon Salt concentration = (amount of salt)/(new total volume) = 0.15/(1 + 2/3) = 0.15/(5/3) = (0.15 * 3)/5 = ...”
May 22, 2018
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 ...”
May 22, 2018
GMATGuruNY posted a reply to Publishers of travel guides for families typically suffer in the Sentence Correction forum
“B: vacations budgets are low and their efforts to save are intense Here, their seems to refer to vacation budgets -- the nearest preceding plural noun -- implying that the efforts of VACATION BUDGETS are intense. This meaning is nonsensical. Eliminate B. C: more intense efforts Here, it is ...”
May 22, 2018
GMATGuruNY posted a reply to x+y=? in the Data Sufficiency forum
“Statement 1: Case 1: x=0, with the result that y = 3x = 3*0 = 0 In this case, x+y = 0+0 = 0. Case 2: x=1, with the result that y = 3x = 3*1 = 3 In this case, x+y = 1+3 = 4. Since x+y can be different values, INSUFFICIENT. Statement 2: Neither side of the equation can be negative, since the ...”
May 22, 2018
GMATGuruNY posted a reply to If ABCD is square and both AED and CDF are equilateral in the Problem Solving forum
“Because triangles ADE and CDF are equilateral, we get: https://s9.postimg.cc/xtqgckd9n/square_and_equilateral_triangles_1.png Because triangle AED is equilateral, DE = AD. Because ABCD is a square, AD = CD. .Thus, DE=CD, with the result that triangle CDE is isosceles: ...”
May 22, 2018
Brent@GMATPrepNow posted a reply to A jar contains 6 red marbles and 9 blue marbles. If Evelyn in the Problem Solving forum
“P(both are same color) = P(1st marble is red AND 2nd marble is red OR 1st marble is blue AND 2nd marble is blue) = x P(2nd marble is red)] + x P(2nd marble is blue)] = x 5/14] + x 8/14] = x 5/14] + x 8/14] = 10/70 + 24/70 = 34/70 = 17/35 Answer: D Cheers, Brent”
May 21, 2018
GMATGuruNY posted a reply to A jar contains 6 red marbles and 9 blue marbles. If Evelyn in the Problem Solving forum
“Case 1: 2 green marbles P(1st marble is green) = 6/15. (Of the 15 marbles, 6 are green.) P(2nd marble is green) = 5/14. (Of the 14 remaining marbles, 5 are green.) To combine these probabilities, we multiply: 6/15 * 5/14 = 1/7. Case 2: 2 red marbles P(1st marble is red) = 9/15. (Of the 15 ...”
May 21, 2018
GMATGuruNY posted a reply to Money invested at x%, compounded annually, triples in value in the Problem Solving forum
“The posted problem has a typo and should read as follows: Since x=8, the approximate number of years for the investment to triple = 112/x = 112/8 = 14. Since the initial investment = 2500, and the amount triples about every 14 years, we get: After the first 14 years --> 3*2500 = 7500. ...”
May 21, 2018
GMATGuruNY posted a reply to In what year was Edward born? in the Data Sufficiency forum
“Test EXTREMES. Case 1: Lisa''s birth month = January 1970 Since Edward was born 14 months earlier, Edward''s birth month = November 1968. Case 2: Lisa''s birth month = December 1970 Since Edward was born 14 months earlier, Edward''s birth month = October 1969. Since Edward''s birth year ...”
May 21, 2018
GMATGuruNY posted a reply to On Monday, Karen had S dollars in her savings account in the Problem Solving forum
“Alternate approach: Let S=30. The answer choices imply the following options for C: A) C=-10 B) C=10 C) C=20 D) C= 90 E) C = 100 From here, we can PLUG IN THE ANSWERS. When the correct answer is plugged in, the two accounts will hold the same amount after the transfer on Wednesday. ...”
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
GMATGuruNY posted a reply to Machine A produces pencils at a constant rate of 9000 in the Problem Solving forum
“To minimize B''s time, we must maximize A''s time. Since each machine can work for at most 8 hours, let A''s time = 8 hours. Since A''s rate = 9000 pencils per hour, the number of pencils produced by A in 8 hours = rt = 9000*8 = 72,000. Remaining pencils = 100,000 - 72,000, = 28,000. Since B''s ...”
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
GMATGuruNY posted a reply to Last year's receipts from the sale of candy on Valentine's in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the total sales. Since 385 represents 7% of the total sales, 10% of the correct answer must be a little more than 385. Only D is viable: 10% of 5500 = 550. The correct answer is D.”
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
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
GMATGuruNY posted a reply to OG 10th Edition Q 74 in the Critical Reasoning forum
“The correct answer must support the conclusion that a well-balanced breakfast is a better vitamin source than is a fortified breakfast cereal.. A: In many foods, the natural combination of vitamins with other nutrients makes those vitamins more usable by the body than are vitamins added in ...”
May 21, 2018
GMATGuruNY posted a reply to A study done on children under the age of twelve showed in the Sentence Correction forum
“The intention here is to convey the following: The study showed THAT X IS TRUE but THAT Y IS TRUE. For the intended meaning to be conveyed clearly, the second that is required. A and B: The study...showed that....but for C: The study showed that...but when These options do not include the ...”
May 21, 2018
GMATGuruNY posted a reply to If 123,456=123a+87 and 234,567=123b+6, how many multiples o in the Problem Solving forum
“For any EVENLY SPACED SET: Count = (biggest - smallest)/increment + 1. The INCREMENT is the difference between successive terms. Smallest multiple of 123 between 123a + 87 and 123b + 6: 123a +123. Biggest multiple of 123 between 123a + 87 and 123b + 6: 123b. Since 123 is the increment ...”
May 21, 2018
GMATGuruNY posted a reply to Jayden draws a regular n-gon. What is the value of n? in the Data Sufficiency forum
“Sum of the interior angles of a quadrilateral = 360, with the result that each angle of a square = 360/4 = 90. For each additional side, the sum of the interior angles increases by 180: Sum of the interior angles of a pentagon = 360+180 = 540, with the result that each angle of a regular pentagon ...”
May 21, 2018
GMATGuruNY posted a reply to statements must be true for all integers a, b and c? in the Problem Solving forum
“a@b = a + b - ab. In other words, a@b = SUM - PRODUCT. Statement I is included in four of the five answer choices. Thus, it is almost certain that statement I must be true. Otherwise, a test-taker will be able to eliminate four answer choices simply by evaluating statement I. To save time, ...”
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
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
GMATGuruNY posted a reply to A boyis buying two kinds of marbles. One kind costs 25 cents in the Problem Solving forum
“I believe that the following represents the intent of the problem: Cost of 5 pounds of 25-cent marbles = 5*25 = 125 cents. We can PLUG IN THE ANSWERS, which represent the number pounds of 32-cent marbles. When the correct answer is plugged in the average cost per marble ≈ 29. B: 6 ...”
May 19, 2018
GMATGuruNY posted a reply to Two liquids are mixed in the ratio 3:2 and the vendor gains in the Problem Solving forum
“Since the selling price of $11 per liter represents a profit of 10%, the cost per liter = $10. The cost of the first liquid is $2 more than the cost of the second liquid. For the average cost per liter to be $10, the cost of the first liquid must be MORE THAN $10, while the cost of the second ...”
May 19, 2018
GMATGuruNY posted a reply to A farmer who grows strawberries defines . . . in the Data Sufficiency forum
“Statement 1: Since the size of the crop is unknown, we cannot determine how many workers must be hired for the crop to be picked in 15 days. INSUFFICIENT. Statement 2: For 13,500 liters to be picked in 15 days, the amount that must be picked each day = 13,500/15 = 900 liters. Since the rate ...”
May 19, 2018
GMATGuruNY posted a reply to Employment costs rose - GMATPrep in the Sentence Correction forum
“In B, it (singular) does not agree with costs (plural). Eliminate B. C: Employment costs rose...less than they were Here, an ACTION (rose) is illogically compared to a STATE-OF-BEING (were). Eliminate C. lower is an ADJECTIVE. It must serve to modify a NOUN. D and E: Employment costs ...”
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
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
GMATGuruNY posted a reply to OG 16 Question 27 in the Sentence Correction forum
“One reason to eliminate B: Generally, a COMMA + VERBing modifier must serve to express an action that is concurrent with the nearest preceding action. B implies the following: The Etruscan alphabet in turn had been adapted, adapting itself earlier. Here, the COMMA + VERBing action in red is ...”
May 18, 2018
GMATGuruNY posted a reply to Each of 60 mineral water bottles in a certain shipment is in the Problem Solving forum
“The addition of the word in red clarifies the intent of the problem: Curren total volume = (number of bottles)(average volume per bottle) = 60*800 = 48,000 ml. We can PLUG IN THE ANSWERS, which represent the number of 1000-ml bottles that must be removed to reduce the average volume per ...”
May 18, 2018
GMATGuruNY posted a reply to On May 1 of last year, Jasmin invested x dollars . . . . in the Data Sufficiency forum
“Statement 1: Since we know the interest rate (6% per year, compounded monthly) and the amount of interest earned after one month ($200), we can calculate the amount Jasmin must have invested. SUFFICIENT. Statement 2: Since we know the interest rate (6% per year, compounded monthly) and the ...”
May 18, 2018
GMATGuruNY posted a reply to The Number of students learning Three subjects are as in the Problem Solving forum
“https://s9.postimg.cc/nom8j2aej/math_english_science.png The values in blue represent the number of students studying exactly 1 subject. Sum of the values in blue: 125 - 2(a+b+c). To MINIMIZE the value of this expression, we must MAXIMIZE the value of a+b+c. Since the expression must be ...”
May 18, 2018
GMATGuruNY posted a reply to A shop sells two variants of chocolates - one that costs in the Problem Solving forum
“Rule: MULTIPLE OF X + MULTIPLE OF X = MULTIPLE OF X. MULTIPLE OF X + NON-MULTIPLE OF X = NON-MULTIPLE OF X, Since the price of each chocolate is either $3 or $5, and the total amount sold = $108, we get: 3x + 5y = 108. Since 108 is an integer whose digits sum to a multiple of 3, 108 is a ...”
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
GMATGuruNY posted a reply to The number of coins that Lana and Brad had were in the in the Problem Solving forum
“An alternate approach is to PLUG IN THE ANSWERS, which represent the difference between Lana and Brad after the 8-coin gift. When the correct answer is plugged in, the ratio for Lana and Brad before the 8-coin gift = 5/2. D: 14 After the 8-coin exchange: The parts of the resulting ratio for ...”
May 17, 2018
GMATGuruNY posted a reply to Right now, a barrel of water is exactly 40% full of water. in the Data Sufficiency forum
“Since every value in the problem is either a fraction or a percentage -- and no actual volumes are given -- the capacity of the barrel can be any value. Thus, the two statements combines are INSUFFICIENT. The correct answer is E. The phrase in red is ambiguous and would not appear in an ...”
May 17, 2018
GMATGuruNY posted a reply to Is n an integer? in the Data Sufficiency forum
“Both statements are satisfied by the following cases: Case 1: n = 1, with the result that 2n = 2 and 1/n = 1 In this case, n is an integer, so the answer to the question stem is YES. Case 2: n = 1/2, with the result that 2n = 1 and 1/n = 2 In this case, n is NOT an integer, so the answer to the ...”
May 17, 2018
GMATGuruNY posted a reply to How many 4-digit numbers have only even digits? in the Problem Solving forum
“Number of options for the thousands digit = 4. (2, 4, 6, or 8) Number of options for the hundreds digit = 5. (0, 2, 4, 6, or 8) Number of options for the tens digit = 5. (0, 2, 4, 6, or 8) Number of options for the units digit = 5. (0, 2, 4, 6, or 8) To combine these options, we multiply: ...”
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
GMATGuruNY posted a reply to If xy < 4, is x < 2? in the Data Sufficiency forum
“Statement 1: Case 1: y=2 and x=1, with the result that xy < 4 In this case, x<2, so the answer to the question stem is YES. Case 2: y=3/2 and x=2, with the result that xy < 4 In this case, x=2, so the answer to the question stem is NO. Since the answer is YES in Case 1 but NO in Case ...”
May 16, 2018
GMATGuruNY posted a reply to What is the product of all the possible values of x if in the Problem Solving forum
“x²(x+2) + 7x(x+2) + 6(x+2) = 0. Factor out x+2: (x+2)(x² + 7x + 6) = 0 Factor the quadratic in red: (x+2)(x+6)(x+1) = 0 Option for x: x=-2, x=-6, x==-1. Thus, the product of all the solutions = (-2)(-6)(-1) = -12. The correct answer is B.”
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
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
GMATGuruNY posted a reply to There are 8 books in a shelf that consists of 2 paperback in the Problem Solving forum
“Combinations with at least 1 paperback = (all possible combinations) - (combinations with no paperbacks). All possible combinations: From the 8 books, the number of ways to choose 4 = 8C4 = (8*7*6*5)/(4*3*2*1) = 70. Combinations with no paperbacks: From the 6 hardback books, the number ...”
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
GMATGuruNY posted a reply to Although the bite of brown recluse spiders are rarely fatal in the Sentence Correction forum
“A and B: Although the bite...are rarely fatal Here, are (plural) does not agree with the bite (singular). Eliminate A and B. C: the bite...posing the greatest danger to the infant and elderly, who are particularly vulnerable to their poison Here, their (plural) does not agree with the bite ...”
May 15, 2018
GMATGuruNY posted a reply to In a certain theater, the first row has 12 seats, and each r in the Problem Solving forum
“Since each row has 1 more seat than the preceding row, the row tallies form a set of consecutive integers: 12, 13, 14...48, 49. 50. For any set of consecutive integers: Count = biggest - smallest + 1 Average = (biggest + smallest)/2 Sum = (count)(average). In the problem at hand: Smallest ...”
May 15, 2018
GMATGuruNY posted a reply to How many solutions are possible for the inequality | x - 1 | in the Problem Solving forum
“|a-b| = the DISTANCE between a and b. Thus: |x-1| = the distance between x and 1. |x-6| = the distance between x and 6. Question stem rephrased: For how many values of x is the sum of the two distances less than 2? The distance between 1 and 6 is 5. Thus, if x is BETWEEN the ...”
May 15, 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
GMATGuruNY posted a reply to Trains A and B travel at the same constant rate in opposite in the Data Sufficiency forum
“Statement 1: Whereas A travels for 2 hours, B begins its journey 1 hour later and travels for 1 hour. A ----------2 hours----------> meeting spot <-----1 hour----- B Since A travels at r miles per hour for 2 hours to meet B, and B travels at r miles per hour for 1 hour to meet A, it takes a ...”
May 14, 2018
GMATGuruNY posted a reply to If x is a positive integer, what is the least common in the Data Sufficiency forum
“Statement 1: x must be a factor of 30 such that the smallest value divisible by both x and 6 is 30. Options for x: x=5, 10, 15, 30. In every case, the LCM for x , 6, and 9 is 90. SUFFICIENT. Statement 2: x must be a factor of 45 such that the smallest value divisible by both x and 9 is 45. ...”
May 14, 2018
GMATGuruNY posted a reply to If y is positive, what is the value of x? in the Data Sufficiency forum
“Since y is positive, |y| = y. Statement 1: x - y = -x - |y| x - y = -x - y x = -x 2x = 0 x = 0. SUFFICIENT. Statement 2: x = y-3 If y=1, then x = 1-3 = -2. If y=2, then x = 2-3 = -1. Since x can be different values, INSUFFICIENT. The correct answer is A.”
May 14, 2018
GMATGuruNY posted a reply to If a = 4b, what percent of 2a is 2b? in the Problem Solving forum
“= Let b=1, implying that a = 4b = 4*1 = 4. What percent of 2a is 2b? 2b/2a = b/a = 1/4 = 25%. The correct answer is C.”
May 14, 2018
GMATGuruNY posted a reply to John bought a shirt, a pair of pants, and a pair of shoes in the Problem Solving forum
“(pant cost)/(total cost) = 20/(10+20+30) = 20/60 = 1/3 = 33⅓%. The correct answer is D.”
May 14, 2018
GMATGuruNY posted a reply to Is |a| + |b| > |a + b| ? in the Data Sufficiency forum
“Is |a| + |b| > |a + b|? Because an absolute value cannot be negative, both sides of the inequality above are NONNEGATIVE, allowing us to SQUARE the inequality (|a| + |b|)² > (|a + b|)² a² + 2|a||b| + b² > a² + 2ab + b² 2|a||b| > 2ab |a||b| > ab. The resulting inequality ...”
May 14, 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
GMATGuruNY posted a reply to Verbal Review 18 : Kudzu, an Asian vine in the Sentence Correction forum
“Generally, the usage of a passive verb implies one or both of the following: 1. The agent of the passive action is unknown. 2. The agent of the passive action is unimportant to the meaning of the sentence. The SC above is concerned primarily with the rampant GROWTH of Kudzu. To understand this ...”
May 13, 2018
GMATGuruNY posted a reply to Verbal Review 18 : Kudzu, an Asian vine in the Sentence Correction forum
“New genetic evidence provides compelling support for classifying Africa’s forest elephants and its savanna elephants as separate species. Here, for classifying is an adjective serving to describe support. Question: What KIND of support? Answer: support FOR CLASSIFYING.”
May 13, 2018
GMATGuruNY posted a reply to Sentence Correction Question in the Sentence Correction forum
“The SC above appears in GMATPrep. The OA is not C but D.”
May 12, 2018
GMATGuruNY posted a reply to A, B, C, D and E are 5 consecutive points on a straight in the Problem Solving forum
“AB = 5: https://s7.postimg.cc/qie6ijplj/ABCDE_1.png AC = 11: https://s7.postimg.cc/de8m615bb/ABCDE_2.png BC = 2CD: https://s7.postimg.cc/pu5bzcj3b/ABCDE_3.png DE = 4: https://s7.postimg.cc/fk2x04gd3/ABCDE_final.png Thus, AE = 5 + 6 + 3 + 4 = 18. The correct answer is D.”
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
GMATGuruNY posted a reply to The line represented by the equation y=4-2x is the in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the coordinates of point P. The slopes of perpendicular lines are NEGATIVE RECIPROCALS. Since y = -2x + 4 has a slope of -2, perpendicular line segment RP must have a slope of 1/2. Implication: When the correct answer is combined with the coordinates ...”
May 12, 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
GMATGuruNY posted a reply to An escalator moves downward from street level to a subway in the Problem Solving forum
“DOWNWARD: When the escalator is turned OFF, the number of steps taken by Wesley to travel downward = 70. When the escalator is turned ON, the number of steps taken by Wesley to travel downward = 36, implying that the number of downward steps attributed to the escalator = 70-36 = 34. Implication: ...”
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
GMATGuruNY posted a reply to Twice the birds as last year will migrate to the in the Sentence Correction forum
“A: twice the birds as last year Here, BIRDS are illogically compared to LAST YEAR. Eliminate A. B: double the number...as last year Here, THE NUMBER is illogically compared to LAST YEAR. Eliminate B. C and E: that of last year''s Here that OF and last year''s both serve to convey ...”
May 11, 2018
GMATGuruNY posted a reply to Sentence Correction Question in the Sentence Correction forum
“A, B and C: three times AS many...charge under $8000 a year THAN In these options, than is unidiomatic. Correct: as many X AS Y. Eliminate A, B and C. Only PARALLEL FORMS may be compared. E: three times as many...CHARGE under $8000...as those CHARGING over $16,000. Here, charge is a VERB, ...”
May 11, 2018
GMATGuruNY posted a reply to If the terms of a sequence {An} are defined by An=n/100, whe in the Problem Solving forum
“For any EVENLY SPACED SET: Count = (biggest - smallest)/(increment) + 1. Average = (biggest + smallest)/2. Sum = (count)(average). The INCREMENT is the difference between successive values. Integers between 101 and 200, inclusive: Here, the integers are CONSECUTIVE, so the increment = ...”
May 11, 2018
GMATGuruNY posted a reply to The sum S of the arithmetic sequence a, a+d, a+2d,..., a+(n- in the Problem Solving forum
“For any EVENLY SPACED SET: Count = (biggest - smallest)/(increment) + 1. Average = (biggest + smallest)/2. Sum = (count)(average). The INCREMENT is the difference between successive values. Integers between 1 and 100, inclusive: Here, the integers are CONSECUTIVE, so the increment = 1. ...”
May 11, 2018
beatthegmat posted a new topic called Prepping for the GRE When English is Not Your First Language in the GMAT Strategy forum
“English is a complex language. Ask around and you’ll hear that even native speakers can find it complicated and sometimes confusing. This can make the GRE® General Test particularly challenging when English is not your first language. With adequate practice, however, you can be sure to feel ...”
May 10, 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
GMATGuruNY posted a reply to (2^5+2^6+2^7+2^8)^2=? in the Problem Solving forum
“(2⁵ + 2⁶ + 2⁷ + 2⁸)² = E.”
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
GMATGuruNY posted a reply to The probability of shooting a target increases after a in the Problem Solving forum
“Test an EASY CASE. Let: S = the original probability of shooting the target NS = the original probability of NOT shooting the target New S = the new probability of shooting the target New NS = the new probability of NOT shooting the target Case 1: Let NEW NS = 0.1, implying that the NEW S = ...”
May 10, 2018
GMATGuruNY posted a reply to abc0 is a positive, four-digit integer, where a, b and c are in the Data Sufficiency forum
“An integer is divisible by 4 only if its last two digits form a multiple of 4. For example: 93724 is divisible by 4 because its last two digits -- 2 and 4 -- form 24, which is a multiple of 4. Question stem, rephrased: Is the integer c0 a multiple of 4? Statement 1: No information about c. ...”
May 10, 2018
GMATGuruNY posted a reply to The original price of a certain Television set is discounted in the Problem Solving forum
“Let P = 100 and x = 10, implying that 2x = 20. Price after an x% discount = 100 - (10% of 100) = 100 - 10 = 90. Price after a 2x% discount = 90 - (20% of 90) = 90 - 18 = 72. The correct answer must yield a resulting price of $72 when x=10. Only B works: 100(1 - 0.03*10 + 0.0002*10²) = 100(1 ...”
May 10, 2018
GMATGuruNY posted a reply to Three friends rented a car for a week and divided the cost e in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the total cost. When the correct answer is plugged in, increasing the number of friends from 3 to 4 will reduce the cost per person by $15. Since the total cost is divided equally among 3 or 4 friends, the correct answer is almost certainly a multiple ...”
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
GMATGuruNY posted a reply to OG Two works published in 1984 in the Reading Comprehension forum
“golden age = a period when something was the most successful. From the passage: Women also gained power in comparison with their previous status, owning a higher proportion of real estate, for example. In contrast, Buel and Buel’s biography provides ample raw material for questioning the myth, ...”
May 9, 2018
GMATGuruNY posted a reply to Data Sufficiency Problem in the Data Sufficiency forum
“Since the average price = 141, one price must be LESS than 141, while the other price must be GREATER than 141. Statement 1: Model P sold for $30 less than Model Q. Thus, p< 141, while q>141. Check the ONLY case that also satisfies statement 2: Case 1: p=120 and q=150. To evaluate ...”
May 9, 2018
GMATGuruNY posted a reply to x and y are positive integers. If p and q are diff in the Data Sufficiency forum
“To determine the number of positive factors of an integer: 1) Prime-factorize the integer 2) Add 1 to each exponent 3) Multiply For example: 72 = 2³ * 3². Adding 1 to each exponent and multiplying, we get (3+1)*(2+1) = 12 factors. Here''s why: To determine how many factors ...”
May 9, 2018
GMATGuruNY posted a reply to If snow accumulation increased at a constant rate of 30 mill in the Problem Solving forum
“(1 millimeter accumulation) * (1 hour)/(30 millimeters accumulation) * (3600 seconds)/(1 hour) = 3600/30 = 120 seconds. In the equation above, all of the colored measurments CANCEL OUT, leaving the answer in terms of seconds. The correct answer is E.”
May 9, 2018
GMATGuruNY 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
“Let x=1, with the following results: a = 1 + (1/1) = 2. b = 1 - (1/1) = 0. a² - b² = 2² - 0² = 4. When x=1, the correct answer must yield a value of 4. Only E is viable. The correct answer is E.”
May 9, 2018
GMATGuruNY posted a reply to Mr. and Mrs. Wiley have a child every J years. Their oldest in the Problem Solving forum
“Let J=2. Let 2000 = year in which the first child is born. Let now = 2006. Since a child is born every 2 years, there are now 4 children -- born in 2000, 2002, 2004 and 2006 -- and the oldest age is T=6. When a child is born 2 years from now, the number of children = 5. This is our target. ...”
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
GMATGuruNY posted a reply to Modifier in the Sentence Correction forum
“I share your concern about the OA. Please revisit my previous post, which has been revised to express the reasons for my concern.”
May 8, 2018
GMATGuruNY posted a reply to Which of the following is equal to 2^{k-1}3^{k+1}? in the Problem Solving forum
“Let k=1: $${2^{k-1}3^{k+1}} = {2^{1-1}3^{1+1}} = {2^{0}3^{2}} = 1*9 = 9.$$ Now plug k=1 into the answers to see which yields a value of 9. Only B works: 3²6^(k-1) = 9*6⁰ = 9*1 = 9. The correct answer is B.”
May 8, 2018
GMATGuruNY posted a reply to At the end of each year, the value of a certain antique watc in the Problem Solving forum
“Let k=1 and c=200%, implying that the value of the $1 watch increases by 200% each year. Value in 1993 = 1 + (200/100)(1) = 3. m = value in 1994 = 3 + (200/100)(3) = 9. Value in 1995 = 9 + (200/100)(9) = 27. This is our target. Now plug k=1 and m=9 into the answers to see which yields our ...”
May 8, 2018
beatthegmat posted a reply to Delete account? in the Suggestions and Feedback forum
“Hi fsb_20 Your account has been deleted.”
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
GMATGuruNY posted a reply to A finite sequence {An} is arithmetic. If each term An of the in the Data Sufficiency forum
“An arithmetic sequence is an EVENLY SPACED SET. In an evenly spaced set, AVERAGE = MEDIAN. Question stem, rephrased: Is the median of the set even? Statement 1: Case 1: {0, 2} In this case, the median of the set is 1, so the answer to the rephrased question stem is NO. Case 2: {0, 2, 4} In ...”
May 7, 2018
GMATGuruNY posted a reply to If 5m=25^{2n}, what is the value of m, in terms of n? in the Problem Solving forum
“Let n = 1/2. Substituting n = 1/2 into 5m = 25^(2n), we get: 5m = 25¹ m = 5. The question stem asks for the value of m (5). Now plug n = 1/2 into the answers to see which yields the target value of 5. Only C works: m = 5^(4n-1) = 5¹ = 5. The correct answer is C.”
May 7, 2018
GMATGuruNY posted a reply to If a car went the first third of the distance at 80 kmh in the Problem Solving forum
“Let each third of the distance = 240 km, implying that the total distance = 3*240 = 720 km. Since the rate for the first third = 80 kmh, the time to travel the first third = d/r = 240/80 = 3 hours. Since the rate for the second third = 24 kmh, the time to travel the second third = d/r = 240/24 = ...”
May 6, 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
GMATGuruNY posted a reply to W, X, Y and Z each represent a different number in the Problem Solving forum
“Sum of all 4 rows = 3 + 6 + 9 + 0 = 18. Sum of all 4 columns = -2 + 7 + n + 5 = n + 10. The values in blue must be EQUAL, since each represents the sum of all 16 values in the table. Thus: n+10 = 18 n=8. The correct answer is C.”
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
GMATGuruNY posted a reply to Modifier in the Sentence Correction forum
“A conjunction such as and must serve to connect PARALLEL FORMS. A and D: forms...and lowering In these options, forms (verb) and lowering (modifier) are not parallel forms. Eliminate A and D. C: forming...and lowers Here, forming (modifier) and lowers (verb) are not parallel forms. Eliminate ...”
May 6, 2018
GMATGuruNY posted a reply to Is x greater than zero? in the Data Sufficiency forum
“Each statement implies that x is NONZERO, with the result that any EVEN POWER of x will yield a POSITIVE value. Thus, we can simplify the inequalities by dividing each side by x². Statement 1: x⁶ > x² x⁶/x² > x²/x² x⁴ > 1. The resulting inequality requires that x>1 or ...”
May 6, 2018
GMATGuruNY posted a reply to Jacob drove from Town A to Town B at an average rate of in the Problem Solving forum
“Let the distance = 12 miles. Let x = 2 miles per hour, y = 3 miles per hour, and z = 6 miles per hour. Total time for the 3 trips = 12/2 + 12/3 + 12/6 = 12 hours. Average rate for the 3 trips = (total distance)/(total time) = (12+12+12)/12 = 3 miles per hour. This is our target. Now we ...”
May 6, 2018
GMATGuruNY posted a reply to The remainder, when a number n is divided by 6, is p. in the Data Sufficiency forum
“Statement 1: Case 1: n=8 Since n/6 = 8/6 = 1 R2, p=2. Since n/12 = 8/12 = 0 R8, q=8. In this case, p<q, with the result that the answer to the question stem is YES. Case 2: n=16 Since n/6 = 16/6 = 2 R4, p=4. Since n/12 = 16/12 = 1 R4, q=4. In this case, p=q, with the result that the ...”
May 6, 2018
GMATGuruNY posted a reply to A rectangular box is 10 inches wide, 10 inches long in the Problem Solving forum
“The longest line that can be drawn inside a rectangular solid is called the MAIN DIAGONAL. Use the SUPER-PYTHAGOREAN THEOREM. If d = the length of the main diagonal, then: d² = l² + w² + h². In the problem above: d² = 10² + 10² + 5² d² = 225 d = 15. The correct answer is ...”
May 6, 2018
GMATGuruNY posted a reply to If n is an integer between 10 and 99, is n < 80? in the Data Sufficiency forum
“Statement 1: Case 1: n = 11, with the result that the sum of the two digits of n = 1+1 = 2 In this case, n < 80, so the answer to the question stem is YES. Case 2: n = 83, with the result that the sum of the two digits of n = 8+3 = 11 In this case, n > 80, so the answer to the question ...”
May 6, 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
GMATGuruNY posted a reply to In an experiment, two different types of recorded in the Critical Reasoning forum
“Experiment: In nursery A, classical music was played; in nursery B, rock music was played. Result: The babies in nursery A cried less, suffered fewer minor ailments, and gained more weight than did the babies in nursery B. Implied conclusion: The babies in nursery A had better outcomes ...”
May 5, 2018
GMATGuruNY posted a reply to In a room filled with 7 people, 4 people phave exactly 1 in the Problem Solving forum
“Let''s say that the 7 people are ABCDEFG. 4 people have exactly 1 sibling: Let''s say that A and B are siblings and that C and D are siblings. This means: A has 1 sibling (B). B has 1 sibling (A). C has 1 sibling (D). D has 1 sibling (C). 3 people have exactly 2 siblings: Let''s say ...”
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
GMATGuruNY posted a reply to If x is the sum of the first 10 positive multiples of 3 and in the Problem Solving forum
“For any EVENLY SPACED SET: AVERAGE = (BIGGEST + SMALLEST)/2. SUM = (COUNT)(AVERAGE). The first 10 positive multiples of 3 are as follows: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. Thus: Average = (biggest + smallest)/2 = (30+3)/2 = 16.5. x = sum = (count)(average) = 10*16.5 = 165. The first ...”
May 4, 2018
GMATGuruNY posted a reply to What is the largest integer if the sum of three consecutive in the Problem Solving forum
“Consecutive even integers constitute an EVENLY SPACED SET. For any evenly spaced set, MEDIAN = AVERAGE. In the problem at hand: Median = Average = 318/3 = 106. Since the median of the 3 consecutive even integers = 106, the greatest of the 3 consecutive even integers = 108. The correct answer ...”
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
GMATGuruNY posted a reply to Harold works at a resort from the beginning of March to the in the Problem Solving forum
“Excluding August, let the average earned each month = $1, implying that the total earned for the 6 non-August months = 6*1 = $6. Since 3 times the average is earned in August, the amount earned in August = 3*1 = $3, bringing the total earnings to $9. Resulting fraction: August/Total = 3/9 = 1/3. ...”
May 3, 2018
GMATGuruNY posted a reply to If x and y are two different integers, is |x|=|y|? in the Data Sufficiency forum
“Case 1: y=0, with the result that x = y+2 = 0+2 = 2 In this case, |x|=2 and |y|=0, so the answer to the question stem is NO. Case 2: y=-1, with the result that x = y+2 = -1+2 = 1 In this case, |x|=1 and |y|=1, so the answer to the question stem is YES. Since the answer is NO in Case 1 but YES in ...”
May 3, 2018
GMATGuruNY posted a reply to A group of 8 friends want to play doubles tennis. in the Problem Solving forum
“Since there are 8 people, the first friend selected can be paired with 7 different people, yielding 7 possible pairs. Since 6 people remain, the next friend selected can be paired with 5 different people, yielding 5 possible pairs. Since 4 people remain, the next friend selected can be paired ...”
May 3, 2018
GMATGuruNY posted a reply to There are three blue marbles, three red marbles, and three in the Problem Solving forum
“P(good outcome) = P(one way) * total possible ways. Let B = blue and R = red. P(one way): One way to select exactly 1 blue marble and 2 red marbles is BRR. P(B on the 1st pick) = 3/9. (Of the 9 marbles, 3 are blue.) P(R on the 2nd pick) = 3/8. (Of the 8 remaining marbles, 3 are red.) P(R ...”
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
GMATGuruNY posted a reply to How many odd three-digit integers greater than 800 are there in the Problem Solving forum
“Case 1: Hundreds digit = 8 Number of options for the units digit = 5. (Any of the 5 odd digits.) Number of options for the tens digit = 8. (Of the 10 digits, any but the two already used.) To combine the options above, we multiply: 5*8 = 40. Case 1: Hundreds digit = 9 Number of options for ...”
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
GMATGuruNY posted a reply to If x is a positive integer, is x/30 a terminating decimal? in the Data Sufficiency forum
“A TERMINATING decimal has a FINITE NUMBER OF DIGITS: .5 .123 .8730253. A NON-TERMINATING decimal has an INFINITE NUMBER OF DIGITS: .33333.... .121212.... .871871871... To determine whether a fraction will yield a terminating decimal: 1. Put the fraction in its MOST REDUCED FORM. 2. ...”
May 3, 2018
GMATGuruNY posted a reply to How many multiples of 4 lie between 4^4 and 4^5, inclusive? in the Problem Solving forum
“The positive multiples of 4 constitute an EVENLY SPACED SET. For any evenly spaced set: Number of values = (biggest - smallest)/increment + 1. The INCREMENT is the distance between one term and the next. The positive multiple of 4 have an increment of 4. Thus: Number of multiples of 4 ...”
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
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
GMATGuruNY posted a reply to The distance between Alice’s house and Bob's is 120 miles. in the Problem Solving forum
“Total distance between Alice and Bob =120 miles. Since Alice travels 40 miles from her home to meet Bob, Bob travels the remaining 80 miles. Since Bob travels twice as far as Alice, his rate is twice Alice''s rate. Since Alice''s rate = x miles per hour, Bob''s rate = 2x miles per hour. The ...”
May 2, 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
GMATGuruNY posted a reply to Jane and Ashley take 20 days and 40 days respectively to in the Problem Solving forum
“Let the job = the LCM of 20 and 40 = 40 units. Since Jane takes 20 days to produce the 40-unit job, Jane''s rate = w/r = 40/20 = 2 units per day. Since Ashley takes 40 days to produce the 40-unit job, Jane''s rate = w/r = 40/40 = 1 unit per day. During Jane''s 8-day break, Ashely works alone ...”
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
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
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
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 - https://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
GMATGuruNY posted a reply to John and Amanda stand at opposite ends of a straight road in the Problem Solving forum
“All possible outcomes: Number of possible rates for John = 4. Number of possible rates for Amanda = 4. To combine the number of rate options for John with the number of rate options for Amanda, we multiply: 4*4 = 16. Good outcomes: John will travel farther than Amanda if his rate is greater ...”
April 30, 2018
GMATGuruNY posted a reply to On the number line, 0 lies between x and y. Is x>y? in the Data Sufficiency forum
“Since 0 lies between x and y, x and y have DIFFERENT SIGNS. Statement 1: The distance between x and 0 is 2 times the distance between y and 0 Thus: |x| = 2|y| Case 1: y=1, implying that |x| = 2 Since x have must have different sign from y, x=-2. In this case, x < y, so the answer to the ...”
April 30, 2018
GMATGuruNY posted a reply to If p and q are positive integers such in the Data Sufficiency forum
“pq will have 4 distinct positive factors in the following cases: Case 1: pq = a³, where a is a prime number. Case 2: pq = ab, where a and b are distinct prime numbers. Examples of Case 1: pq = 2³ = 8, with the result that pq has factors 1, 2, 4 and 8. pq = 3³ = 27, with the result that pq ...”
April 30, 2018
GMATGuruNY posted a reply to If the profit on a product is 20 percent of its sales price, in the Problem Solving forum
“Let the sale price = 100, implying that the profit = 0.2(100) = 20 and that the cost price = (sale price) - (profit) = 100-20 = 80. What percent of the cost price is the profit? profit/cost = 20/80 = 1/4 = 25%. The correct answer is B.”
April 30, 2018
GMATGuruNY posted a reply to Double matrix method in the Data Sufficiency forum
“To organize the data, use the following DOUBLE-MATRIX: https://s31.postimg.cc/yinkrxs7b/matrix_tennis_and_swimming_statement_0.png To answer the question stem, we need to determine the values in the two boxes with question marks (tennis but not swimming, swimming but not tennis). Statement ...”
April 30, 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
GMATGuruNY posted a reply to A lighting store is stocked with 410 fixtures. Some of the in the Problem Solving forum
“The expression in blue represents the total number of imported lamps. Since x/4 is being SUBTRACTED, the expression will be minimized if x/4 is AS GREAT AS POSSIBLE. Since x must be less than or equal to the total number of fixtures -- 410 -- the greatest possible integer value for x/4 will be ...”
April 28, 2018
GMATGuruNY posted a reply to A lighting store is stocked with 410 fixtures. Some of the in the Problem Solving forum
“5% of the floor lamps are imported. 5% = 5/100 = 1/20. Since 1/20 of the floor lamps are imported, the total number of floor lamps must be a MULTIPLE OF 20. 30% of the table lamps are imported. 30% = 30/100 = 3/10. Since 3/10 of the table lamps are imported, the total number of table lamps ...”
April 28, 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
GMATGuruNY posted a reply to Given that N=a3b4c5 where a, b and c are distinct prime in the Problem Solving forum
“The problem should read as follows: The exponent for a perfect square must be a MULTIPLE OF 2. The exponent for a perfect cube must be a MULTIPLE OF 3. The exponent for a perfect fifth must be a MULTIPLE OF 5. Thus, the exponent for an integer that is a perfect square, a perfect cube and a ...”
April 28, 2018
GMATGuruNY posted a reply to Is xy< 10? in the Data Sufficiency forum
“Statements combined: If x=0 and y=0, then xy = 0, so the answer to the question stem is YES. If x=-10 and y=-10, then xy = 100, so the answer to the question stem is NO. Since the answer is YES in the first case but NO in the second case, the two statements combined are INSUFFICIENT. The ...”
April 28, 2018
GMATGuruNY posted a reply to Is p^2 - 1 divisible by 12? in the Data Sufficiency forum
“Question stem, rephrased: Is (p+1)(p-1) divisible by 12? Statement 1: Case 1: p=4 In this case, (p+1)(p-1) = 5*3 = 15, so the answer to the question stem is NO. Case 2: p=5 In this case, (p+1)(p-1) = 6*4 = 24, so the answer to the question stem is YES. Since the answer is NO in Case 1 but ...”
April 28, 2018
GMATGuruNY posted a reply to If −2 < x ≤ 1/2 and 7< y ≤ 10...... in the Problem Solving forum
“Since y is POSITIVE and x² must be NONNEGATIVE, only two cases are possible: Case 1: yx² = (positive)(0) = 0. Case 2: yx² = (positive)(positive) = positive. Case 1 is possible if y=8 and x=0. Thus, the least possible value for yx² is 0. The correct answer is C.”
April 28, 2018
GMATGuruNY posted a reply to If x + z = 8, 2y + z =11, and 3x + y= 19, what is the in the Problem Solving forum
“One approach: Subtracting x+z = 8 from 2y+z = 11, we get: (2y+z) - (x+z) = 11-8 2y - x = 3 2y - 3 = x. Substituting x = 2y-3 into 3x+y = 19, we get: 3(2y-3) + y = 19 6y - 9 + y = 19 7y = 28 y = 4. Substituting y=4 into 2y + z = 11, we get: (2*4) + z = 11 z = 3. Substituting z=3 ...”
April 28, 2018
GMATGuruNY posted a reply to If x y and z are positive is xz = 7xy? in the Data Sufficiency forum
“Since x is positive, we can divide both sides of the question stem by x: xz/x = 7xy/x z =7y. Questions stem, rephrased: Does z = 7y? Statement 1: z/y = 7 z = 7y. Thus, the answer to the question stem is YES. Statement 2: No information about z. INSUFFICIENT. The correct answer is ...”
April 28, 2018
GMATGuruNY posted a reply to If n = (33)^43 + (43)^33 what is the units digit of n? in the Problem Solving forum
“3¹ --> units digit of 3. 3² --> units digit of 9. (Since the product of the preceding units digit and 3 = 3*3 = 9.) 3³ --> units digit of 7. (Since the product of the preceding units digit and 3 = 9*3 = 27.) 3⁴ --> units digit of 1. (Since the product of the preceding units ...”
April 28, 2018
GMATGuruNY posted a reply to Z is 120% of Y. X is smaller than Z by 80%. What percentage in the Problem Solving forum
“Since Z is 120% of Y, we get: Z/Y = 120/100 = 6/5. X is 80% less than Z implies that X is 20% of Z: X/Z = 20/100 = 1/5. What percentage of Y is X? X/Y = X/Z * Z/Y = 1/5 * 6/5 = 6/25 = 24/100. Thus: X is 24% of Y. The correct answer is E.”
April 27, 2018
GMATGuruNY posted a reply to NOT true in the Problem Solving forum
“If -14 < a-b < 8 (option B) is multiplied by -1, we get: 14 > -a+b > -8 14 > b-a > -8 -8 < b-a < 14. Implication: If B is true, then C is NOT true, since C indicates that -7 < b-a < 14. In other words: B and C cannot both be true. Test whether B or C is true. ...”
April 27, 2018
GMATGuruNY posted a reply to Lightbox, Inc., owns almost all of the movie theaters in in the Critical Reasoning forum
“Premises: Attendance at Lightbox''s theaters is only just large enough for profitability now, and the county''s population is not expected to increase over the next ten years. Conclusion: The plan to double the number of screens will not prove profitable. To weaken the conclusion, the correct ...”
April 27, 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
GMATGuruNY posted a reply to If g is a function defined for all x by g(x)=(x^4)/16 in the Problem Solving forum
“Let x=2, with the result that g(x) = g(2) = 2⁴/16 = 1. The question stem asks for the value of g(2x): g(2x) = g(2*2) = g(4) = 4⁴/16 = (16*16)/16 = 16. Now plug g(x) = 1 into the answers to see which yields the target value of 16 for g(2x). Only E works: 16g(x) = 16*1 = 16. The correct ...”
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
GMATGuruNY posted a reply to If y = 3x, then the value of 10% of y is in the Problem Solving forum
“Let x=10 and y = 3x = 3*10 = 30. The question stem asks for the value of 10% of y: 10% of y = (10/100)(30) = 3. Now plug x=10 into the answers to see which yields the target value of 3. Only B works: 0.3x = 0.3(10) = 3. The correct answer is B. Algebra: Since y = 3x, we get: 10% of y = ...”
April 27, 2018
GMATGuruNY posted a reply to Machine A and machine B process the same work at different in the Problem Solving forum
“Machine D processes work three times as fast as Machine C. Machine D’s work rate is also exactly four times Machine B’s rate. Let D = 12 units per minute, implying that C= 4 units per minute and B = 3 units per minute. Machine C processes work as fast as Machines A and B combined. Since C ...”
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
GMATGuruNY posted a reply to The pesticide Azocide, introduced to central valley farms in the Sentence Correction forum
“because + NO OF must be followed by a CLAUSE. A: because other pesticides...neutralizing its desired effect. Here, the red portion after because lacks a verb and thus does not constitute a clause. Eliminate A. B: The pesticide Azocide has become ineffective...because of the chemical ...”
April 26, 2018
GMATGuruNY posted a reply to Overuse of antibiotics often leads to a reduction in the in the Sentence Correction forum
“B and C: If overused, one theory Here, overused seems to refer to theory, implying that ONE THEORY might be OVERUSED. This meaning is nonsensical. The intended meaning of the original sentence is that ANTIBIOTICS might be overused. Eliminate B and C. D: The observation...has recently given ...”
April 26, 2018
GMATGuruNY posted a reply to The students at a school took a math exam. Is the average (a in the Data Sufficiency forum
“Statement 1: No information about the median. INSUFFICIENT. Statement 2: Let the total number of scores = 100. Since 51 of the 100 scores are greater than the average, the 50th highest score and the 51st highest score are both greater than the average. Thus, the median score -- which is ...”
April 25, 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
GMATGuruNY posted a reply to A bag contains only black and white balls. What is the proba in the Data Sufficiency forum
“Question stem, rephrased: What fraction of the balls are black? Statement 1: The total number of balls in the bag is 12 No information about what fraction of the balls are black. INSUFFICIENT. Statement 2: The number of white balls is 3 times the number of black balls Of every 4 balls, 3 ...”
April 25, 2018
GMATGuruNY posted a reply to Alice sells apples. She sold at least 10 lb every day last w in the Problem Solving forum
“Since at least 10 apples are sold every day, the least number of apples sold on a single day = 10. The maximize the range, we must maximize the GREATEST number of apples sold on a single day. To maximize the greatest number of apples sold on a single day, we must MINIMIZE the number of apples sold ...”
April 25, 2018
beatthegmat posted a new topic called 5 Terror-inducing, Success-busting, Career-ending Mistakes in the MBA Student Life forum
“Nobody is perfect. Bill Gates ignored the signs showing the importance of internet search. Richard Branson believed he could oust Coca-Cola and Pepsi with his meager Virgin Cola. Tim Cook launched Apple Maps before it was ready. Everyone makes mistakes, even those people who are largely regarded as ...”
April 24, 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
GMATGuruNY posted a reply to It takes Kaya a total of 9 hours to go from home to work in the Problem Solving forum
“Time and rate have a RECIPROCAL RELATIONSHIP: If John''s time is twice Mary''s time, then John''s rate is 1/2 Mary''s rate. Here, the rate for the return trip is twice the rate for the trip to work, implying that the time for the return trip is 1/2 the time for the trip to work. Since the total ...”
April 24, 2018
GMATGuruNY posted a reply to Alice and Bruce each bought a refrigerator, and the sum of in the Problem Solving forum
“Let A = Alice''s amount and B = Bruce''s amount. Twice of what Alice paid was $75 more than what Bruce paid. Since twice Alice''s amount is equal to $75 more than Bruce''s amount, we get: 2A = 75 + B 2A - 75 = B. The sum of their purchases was $900. Thus, the two blue values above must sum ...”
April 24, 2018
GMATGuruNY posted a reply to Set T consists of 82 consecutive odd integers. If the sum of in the Problem Solving forum
“For any set of consecutive integers: SUM = (COUNT)(MEDIAN). In the problem above: SUM = 3⁸ - 165 = (3⁴3⁴) - 165 = (81*81) - 165 = (integer with a units digit of 1) - (integer with a units digit of 5) = integer with a units digit of 6. COUNT = 82 integers. Since the sum has a units ...”
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
GMATGuruNY posted a reply to P persons have decided to rent a van to tour while on in the Problem Solving forum
“Let x = $10 and P = 10 people. Since 10 people plan to split the $10 cost, the expected cost per person = (total cost)/(number of people) = 10/10 = $1. Let D=9, implying that 9 of the 10 people cancel, with the result that the one remaining person must pay the entire $10. Since the one remaining ...”
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
GMATGuruNY posted a reply to OG In the Sonoran Desert of northwestern Mexico in the Reading Comprehension forum
“From the passage: During spring in the Sonoran Desert...diurnal cactus-pollinating birds are significantly more abundant. Compared with the Sonoran Desert''s cardon and saguaro, columnar cacti in southern Mexico produce far fewer flowers per night, with the result that bats are able to pollinate ...”
April 24, 2018
GMATGuruNY posted a reply to OG In the Sonoran Desert of northwestern Mexico in the Reading Comprehension forum
“From the passage: Pollinators can be unreliable for several reasons. They may be dietary specialists, but their abundance may be chronically low relative to the availability of flowers. Nectar-feeding bats...being unreliable cactus-flower pollinators, and daytime pollinators more abundant and ...”
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
GMATGuruNY posted a reply to What is the value of x? \(|x+2|+|x-3| = |2x+3|\) in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the value of x. E: x=7 Substituting x=7 into |x+2|+|x-3|=|2x+3|, we get: |7+2|+|7-3|=|2*7 + 3| 9 + 4 = 17 13 = 17. Doesn''t work. Eliminate E. D: x=4 Substituting x=4 into |x+2|+|x-3|=|2x+3|, we get: |4+2|+|4-3|=|2*4 + 3| 6 + 1 = 11 7 = ...”
April 23, 2018
GMATGuruNY posted a reply to How many positive integers less than 60 are equal to in the Problem Solving forum
“An even multiple of 5 is divisible by 2 and 5. Any integer divisible by 2 and 5 is a MULTIPLE OF 10. The following multiples of 10 are less than 60: 10, 20, 30, 40, 50. Total options = 5. The correct answer is B.”
April 23, 2018
GMATGuruNY posted a reply to If n is an integer, is n - 1 even? in the Data Sufficiency forum
“If n-1 is even, we get the following options for n-1: n-1 = 0, 2, 4, 6, 8, 10, 12... Adding 1 to every value in the list above, we get the following options for n: n = 1, 3, 5, 7, 9, 11, 13.... The resulting list indicates that n-1 will be even if N IS ODD. Question stem, rephrased: Is n odd? ...”
April 23, 2018
GMATGuruNY posted a reply to If a continuous cable 10m long was marked off at intervals in the Problem Solving forum
“The length of the cable can be ANY VALUE. To make the math easier, let the length of the cable = the product of the two denominators = 4*5 = 20 meters. When the cable is divided into 4ths, markings are yielded at 5, 10, and 15: ...”
April 23, 2018
GMATGuruNY posted a reply to og210 in the Sentence Correction forum
“The blue portion constitutes the core of the sentence. The green portion is a RESTRICTIVE modifier serving to describe a giant fungus. Generally, a restrictive modifier is considered ESSENTIAL: it cannot be omitted without a loss of meaning. If the green portion here were omitted, a reader would ...”
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
GMATGuruNY posted a reply to Evaluate the Argument............OG Diagnostic test in the Critical Reasoning forum
“The statements above are all reasonable.”
April 22, 2018
GMATGuruNY posted a reply to Numbers a and b are positive integers. If a^4-b^4 is divided in the Data Sufficiency forum
“a⁴-b⁴ = (a²+b²)(a²-b²) = (a²+b²)(a+b)(a-b). Statement 1: Since a+b is divisible by 3, (a²+b²)(a+b)(a-b) is divisible by 3. Thus, dividing a⁴-b⁴ by 3 will yield a remainder of 0. SUFFICIENT. Statement 2: In other words, a²+b² is 2 more than a multiple of 3: a²+b² = 3k ...”
April 22, 2018
GMATGuruNY posted a reply to Percentage change in the Problem Solving forum
“The question stem asks for the percent change in the following RATIO: (royalty percentage) : (number of copies).'' Initial ratio = 10 : 10,000. New ratio = 12 : 15,000. From 10/10000 to 12/15000 = a 20% DECREASE. In your solution, you calculate the percent change only for the values in red: ...”
April 21, 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
GMATGuruNY posted a reply to Five digit combination problem in the Problem Solving forum
“A five-digit integer formed from the five given digit options will be divisible by 2 and/or 5 if its units digit is 0, 2, 4 or 5. Thus: Number of options for the units place = 4. (0, 2, 4, or 5). Number of options for the ten-thousands place = 4. (Any of the 5 digits except 0.) Number of options ...”
April 21, 2018
GMATGuruNY posted a reply to OG In the Sonoran Desert of northwestern Mexico in the Reading Comprehension forum
“Yet the flowers of the Sonoran Desert cacti have EVOLVED to remain open after sunrise, allowing pollination by such diurnal visitors as bees and birds. Why have these cacti expanded their range of pollinators by remaining open and receptive in daylight? The rest of the passage attempts to answer ...”
April 21, 2018
GMATGuruNY posted a reply to Evaluate the Argument............OG Diagnostic test in the Critical Reasoning forum
“This line of reasoning is correct.”
April 21, 2018
GMATGuruNY posted a reply to Percentage change in the Problem Solving forum
“Since the question stem asks for a PERCENT CHANGE, we can make the math easier by using easier values. The percent change will remain constant as long as the first set of copies and the second set of copies are in the following ratio: 10000:15000 = 10:15. Thus, the prompt can be rephrased as ...”
April 21, 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
GMATGuruNY posted a reply to Is ∣x∣<1 ? in the Data Sufficiency forum
“Statement 1: Since the square of a value must be NONNEGATIVE, y² ≥ 0. If y²=0, then x = 1/3. If y²>0, then x = 1/(more than 3), implying that x < 1/3. Since x≤1/3, the answer to the question stem is YES. SUFFICIENT. Statement 2: No information about x. INSUFFICIENT. The ...”
April 20, 2018
GMATGuruNY posted a reply to Does x = 3? in the Data Sufficiency forum
“Statement 1: (x−3)(y−1) = 0 If y-1=0 -- implying that y=1 -- then x-3 can be equal to ANY VALUE. For example: x=3 and y=1, with the result that (x-3)(y-1) = (3-3)(1-0) = 0*0 = 0. x=4 and y=1, with the result that (x-3)(y-1) = (4-1)(1-0) = 3*0 = 0. Since the answer to the question stem is ...”
April 20, 2018
GMATGuruNY posted a reply to If k is a positive two-digit integer, what is the tens in the Data Sufficiency forum
“Statement 1: Case 1: k=14, with the result that the tens digit of k is 1 Case 2: k=23, with the result that the tens digit of k is 2 Since the tens digit can be different values, INSUFFICIENT. Statement 2: Make a list of option for k+6: k+6 = 30, 31, 32, 33, 34, 35, 36, 37, 38, 39. To yield ...”
April 20, 2018
GMATGuruNY posted a reply to If a > 0 and b > 0, is a/b > b/a ? in the Data Sufficiency forum
“Is a/b > b/a? Since a and b are both positive, we can CROSS-MULTIPLY and take the square root of both sides: a² > b². a > b. Question stem, rephrased: Is a > b? Statement 1: a = b-2 Since a is 2 less than b, the answer to the question stem is NO. SUFFICIENT. Statement 2: ...”
April 20, 2018
GMATGuruNY posted a reply to Is kw>0? in the Data Sufficiency forum
“Statement 1: Case 1: k=10 and w=0 In this case, kw=0, so the answer to the question stem is NO. Case 2: k=11 and w=1 In this case, kw=11, so the answer to the question stem is YES. Since the answer is NO in Case 1 but YES in Case 2, INSUFFICIENT. Statement 2: Case 3: k=0 and w=0 In this ...”
April 20, 2018
GMATGuruNY posted a reply to a percent of b is c and c percent of d is e, then a is what in the Problem Solving forum
“a percent of b is c Let a=b=c=100. since 100% of 100 is 100. c percent of d is e. Let c=d=e=100. since 100% of 100 is 100. a is what percent of e? Since a=e=100, a is 100% of e. The correct answer must yield the value in blue when b=d=100 is plugged in. Only E works: 1000000/bd = ...”
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
GMATGuruNY posted a reply to GMATPrep EP2: One key to predicting a competitor's in the Reading Comprehension forum
“From the passage: The dominant player, as the target of consumer backlash, introduced a variety of foods it promoted as healthy, The other, foreseeing this move, saw an opportunity to find market share in the less health-conscious fast-food segment and so introduced high-fat, high-calorie ...”
April 19, 2018
GMATGuruNY posted a reply to Jim takes a seconds to swim c meters at a constant rate in the Problem Solving forum
“Let c=6 meters, a=2 seconds, and b=1 second. Since Jim takes 2 seconds to travel the 6-meter distance, Jim''s rate = d/t = 6/2 = 3 meters per second. Since Roger takes 1 second to travel the 6-meter distance, Roger''s rate = d/t = 6/1 = 6 meters per second. When Jim and Roger travel toward each ...”
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
GMATGuruNY posted a reply to When a and b are positive integers, what is the greates in the Data Sufficiency forum
“Consecutive integers are COPRIMES: they share no factors other than 1. Statement 1: a=100, implying that a+100 = 100+100 = 200 Case 1: b=100, with the result that a+b = 100+100 = 200 The GCF for the value in blue (200) and Case 1 (200) is 200. Case 2: b=101, with the result that a+b = 100+101 ...”
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
GMATGuruNY posted a reply to What was the percent increase in the value of a certain in the Data Sufficiency forum
“If a value DOUBLES, then it increases by 100%: x + (100% of x) = x + x = 2x. Thus, Statement 2 indicates that the percent increase = 100. SUFFICIENT.”
April 18, 2018
GMATGuruNY posted a reply to A certain office supply store stocks 2 sizes of in the Problem Solving forum
“Case 1: The notepads are all of the same size and the same color Number of size options = 2. Number of color options = 4. To combine the options above, we multiply: 4*2 = 8. Case 2: The notepads are all of the same size but of 3 different colors Number of size options = 2. From the 4 ...”
April 18, 2018
GMATGuruNY posted a reply to In a certain coding scheme, each word is encoded by in the Data Sufficiency forum
“Question stem, rephrased: How are the four letters T, A, M and E encoded? Statement 1: Since MAT is encoded as DLX, we get the following chart: ACTUAL LETTER --> ENCODED LETTER M --> D A --> L T --> X No information about the how to encode the letter E. INSUFFICIENT. ...”
April 18, 2018
GMATGuruNY posted a reply to 200 is what percent of 40? in the Problem Solving forum
“To convert a fraction to a percent, multiply the fraction by 100. Question: x is what FRACTION y? Translation: x/y = ? Question: x is what PERCENT of y? Translation: x/y * 100 = ? Thus: 200 is what percent of 40? Translation: 200/40 * 100 = 5* 100 = 500. The correct answer is E.”
April 18, 2018
GMATGuruNY posted a reply to If q is a member of the set {21, 22, 24, 25, 26, 27} in the Data Sufficiency forum
“Statement 1: Here, there are exactly two options for q: Case 1: q=25, since the only prime factor of 25 is 5. Case 2: q=27, since the only prime factor of 27 is 3. Since q can be different values, INSUFFICIENT. Statement 2: Here, there are exactly two options for q: Case 2: q=27, since 27 ...”
April 18, 2018
GMATGuruNY posted a reply to If y is 80 percent greater than x, then x is what percent in the Problem Solving forum
“Let x = 100. Since y is 80% greater than x, y = 100 + (80/100)(100) = 180. x is what percent less than y? In other words: What is the percent decrease from y=180 to x=100? Percent decrease = Difference/Larger * 100 = (180-100)/180 * 100 = 4/9 * 100 = a bit less than 50%. The correct answer ...”
April 18, 2018
GMATGuruNY posted a reply to What is the value of the sum of a list of n odd integers? in the Data Sufficiency forum
“Each statement indicates the same information -- that there are 8 odd integers. Thus, both statements are satisfied by the following cases: Case 1: 1, 1, 1, 1, 1, 1, 1, 1 Case 2: 1, 1, 1, 1, 1, 1, 1, 3 In Case 1, the sum of the 8 odd integers = 8. In Case 2, the sum of the 8 odd integers = 10. ...”
April 18, 2018
GMATGuruNY posted a reply to If the average of p and 4p is 10, then p in the Problem Solving forum
“SUM/COUNT = AVERAGE In the problem above: Sum = p + 4p. Count = 2. Average = 10. Plugging these values into the equation in blue, we get: (4p + p)/2 = 10 5p = 20 p = 4. The correct answer is C.”
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
GMATGuruNY posted a reply to If a/b = 1/2, then the numerical value of which of the in the Problem Solving forum
“An alternate approach is to plug into the five answer choices two cases such that a/b = 1/2: Case 1: a=1 and b=2 Case 2: a=2 and b=4 Note: When the question stem includes the phrase which of the following, the correct answer is likely to be D or E. For this reason, we should start with answer ...”
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
GMATGuruNY posted a reply to When thw integer x is divided by the integer y, the in the Problem Solving forum
“When one positive integer is divided by another, we typically represent what''s left over either as a REMAINDER or as a DECIMAL. There is a relationship between the two representations: Remainder/Divisor = Decimal. When 5 is divided by 2: Remainder representation: 5/2 = 2 R1. Decimal ...”
April 17, 2018
GMATGuruNY posted a reply to Is x>0? in the Data Sufficiency forum
“In Statement 1, the only real solution is x ≈ 1/2, but Statement 2 requires that x<-1 or x>5. Since the two statements contradict each other, the problem is invalid.”
April 17, 2018
beatthegmat posted a reply to Delete account? in the Suggestions and Feedback forum
“bjedgert has been removed.”
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
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
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
GMATGuruNY posted a reply to For the positive integers x, x + 2, x + 4, x + 7, and in the Problem Solving forum
“Let x=1, yielding the following set of values: x = 1 x+2 = 3 x+4 = 5 x+7 = 8 x+12 = 13. Mean = (1+3+5+8+13)/5 = 30/5 = 6. Median = 5. Mean - median = 6-5 = 1. The correct answer is B. Since only one answer choice can be correct, there is no need to test any other values for x.”
April 15, 2018
GMATGuruNY posted a reply to Every delegate to the convention is a party member. Some in the Critical Reasoning forum
“every = ALL. some = AT LEAST ONE. Given information: All delegates to the convention are party members. At least one delegate to the convention is a government official. All government officials at the convention speak at the convention. An alternate approach is to apply the NEGATION ...”
April 15, 2018
GMATGuruNY posted a reply to Nearly two tons of nuclear-reactor fuel in the Sentence Correction forum
“D: The chances...increase greatly with the...increasing amount. Here, increase and increasing are redundant. Eliminate D.”
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
GMATGuruNY posted a reply to Does ab = a^2 in the Data Sufficiency forum
“ab = a² 0 = a² - ab 0 = a(a-b). The resulting equation is valid only if a=0 or a=b. Question stem, rephrased: Does a=0 or a=b? Statement 1: If a=1 and b=1, then the answer to the rephrased question stem is YES. If a=1 and b=-1, then the answer to the rephrased question stem is NO. Since ...”
April 14, 2018
GMATGuruNY posted a reply to Alice is paid at a constant rate of $x per hour for the firs in the Problem Solving forum
“Since Alice works 8 hours after the first 40 hours, she works 8 hours at the $30 rate: 8*30 = 240. Remaining earnings = (total earnings) - (earnings for the last 8 hours) - 920-240 = 680. Since she works 40 hours to earn this $680, her regularly hourly rate = earnings/hours = 680/40 = 17. The ...”
April 14, 2018
GMATGuruNY posted a reply to p>q, Is q negative? in the Data Sufficiency forum
“Statement 1: Case 1: q=1 Substituting q=1 into pq + q² > 0, we get: p(1) + 1² > 0 p > -1. Since this case requires that p>-1, and the prompt requires that p>q, it''s possible that p=2. Thus, a valid combination for Statement 1 is p=2 and q=1, in which case the answer to the ...”
April 14, 2018
GMATGuruNY posted a reply to probability in the Problem Solving forum
“The portion in red is incorrect. From the 5 people, the number of ways to choose 2 = 5C2 = (5*4)/(2*1) = 10. Of the10 possible pairs, only 1 includes Amir and Brian. Thus, P(Amir and Brian are both selected) = 1/10. Alternate approach: P(Amir or Brian is selected on the first pick) = 2/5. ...”
April 14, 2018
GMATGuruNY posted a reply to A rocket soars for 12 seconds at 150 meters per second. in the Problem Solving forum
“Alternate approach: Lower rate = rate upward = 150 meters per second. Higher rate = rate downward = d/t = 600/3 = 200 meters per second. Since the rocket travels 12 seconds upward and 3 seconds downward, the time ratio for the two rates = (12 seconds) : (3 seconds) = 4:1. Implication: Of ...”
April 13, 2018
GMATGuruNY posted a reply to Each of the 50 students participating in a in the Data Sufficiency forum
“Statement 1: Since fewer than 1/2 of the students are female, the probability of picking a female graduate student must be less than 1/2. Thus, the answer to the question stem is YES. SUFFICIENT. Statement 2: Since fewer than 1/2 of the students are graduate students, the probability of ...”
April 13, 2018
GMATGuruNY posted a reply to Charlie drives 30 miles each way to work and back. in the Problem Solving forum
“Since the distance in each direction is the same, we can plug in ANY VALUE for the distance. Let the distance in each direction = the LCM of 40 and 20 = 40 miles. When Charlie travels the 40-mile distance at 40 mph, the time = d/r = 40/40 = 1 hour. When Charlie travels the 40-mile distance at 20 ...”
April 13, 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
GMATGuruNY posted a reply to If x > y, is x > 6 ? (1) (x - 7)(y - 7) = 0 (2) x > in the Data Sufficiency forum
“Statement 1: (x - 7)(y - 7) = 0 Case 1: x=7 Here, the answer to the question stem is YES. Case 2: y=7 Substituting y=7 into x > y, we get: x > 7. Thus, the answer to the question stem is YES. Since the answer is YES in both cases, SUFFICIENT. Statement 2: x > 18 - 2y x + 2y > ...”
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
GMATGuruNY posted a reply to Frieda walks 6 feet per second, a pace which is 1/3 as in the Problem Solving forum
“Since Frieda''s rate is 1/3 Evita''s rate, Evita''s rate is 3 times Frieda''s rate: 3*6 = 18 feet per second. Since Evita''s rate is twice Pablo''s rate, Pablo''s rate is 1/2 Evita''s rate: (1/2)(18) = 9 feet per second. How many feet does Pablo walk in an hour? Since Pablo''s rate is 9 feet ...”
April 13, 2018
GMATGuruNY posted a reply to GMATPrep EP2: One key to predicting a competitor's in the Reading Comprehension forum
“The correct answer must be supported by EVERY PARAGRAPH. Paragraph 1: One key to predicting a competitor''s strategies is understanding how much that competitor resembles your company. Paragraph 2: In the fast-food industry, two players faced the same market trends but responded in markedly ...”
April 13, 2018
GMATGuruNY posted a reply to Each letter of a 5-letter password must be a different lette in the Problem Solving forum
“The values in red are incorrect. (21*20*19)/(1*2*3) = 1330.”
April 13, 2018
GMATGuruNY posted a reply to Each letter of a 5-letter password must be a different lette in the Problem Solving forum
“From the 5 slots in the sequence, the number of ways to choose 2 slots for the 2 vowels = 5C2 = (5*4)/(2*1) = 10. Of these 10 options, the following 4 combinations are composed of adjacent slots and thus are not allowed: Slots 1 and 2 Slots 2 and 3 Slots 3 and 4 Slots 4 and 5 Thus: Number of ...”
April 13, 2018
GMATGuruNY posted a reply to When a positive integer n is divided by 5, the remainder is in the Data Sufficiency forum
“When n is divided by 5, the remainder is 2. In other words, n is 2 MORE THAN A MULTIPLE OF 5: n = 5a + 2, where a is a nonnegative integer. Options for n: 2, 7, 12, 17, 22, 27, 32... Statement 1: n is divisible by 2 From the blue list above, even options for n: 2, 12, 22, 32... If n=2, ...”
April 13, 2018
beatthegmat posted a reply to Delete account? in the Suggestions and Feedback forum
“Happy to help. Your account has been deleted.”
April 12, 2018
GMATGuruNY posted a reply to 24 computer hackers can scan and infect 10 computers in in the Problem Solving forum
“Use the following equation: (workers)(time) / output = (workers)(time) / output In the equation above: Workers and time are INVERSELY PROPORTIONAL. As the number of workers increases, the amount of time required to produce the same output decreases. Workers and output are DIRECTLY ...”
April 12, 2018
GMATGuruNY posted a reply to GMATPrep EP2: One key to predicting a competitor's in the Reading Comprehension forum
“From the passage: Companies that have different assets, resources, capabilities, and positions within a market will likely also have different responses to market conditions. In the fast-food industry, for example, two players faced the same market trends, resulting from the public''s concerns ...”
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
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
GMATGuruNY posted a reply to If the elements of set X are a, b, c and d, is the average ( in the Data Sufficiency forum
“SUM = (COUNT)(AVERAGE). Statement 1: Since every pair of elements must have an average of 10, the SUM of every pair of elements = (count)(average) = 2*10 = 20. For every pair to yield a sum of 20, every value in the set must be equal to 10: 10, 10, 10, 10. If any pair of values is selected ...”
April 12, 2018
GMATGuruNY posted a reply to Which of the following is equal to x!/(x+1)! + (x+1)!/(x+2)! in the Problem Solving forum
“Let x=1. Plugging x=1 into the given expression, we get: $$\frac{1!}{\left(1+1\right)!}+\frac{\left(1+1\right)!}{\left(1+2\right)!}= {\frac{1}{2}}{ } + {\frac{1}{3}}{ } = {\frac{5}{6}}{ } $$ The target value is 5/6. Now plug x=1 into the answer choices to see which yields the target value of ...”
April 12, 2018
GMATGuruNY posted a reply to If an organization were to sell n tickets for a theater in the Problem Solving forum
“The number of tickets is irrelevant. If 5% fewer tickets are sold, then the revenue decreases by 5%. Let the cost of the production = 100. If all the tickets are sold, the revenue is 20% more than the cost of the production: 100 + (20% of 100) = 100 + 20 = 120. If 5% fewer tickets are sold, ...”
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
GMATGuruNY posted a reply to After increasing steadily for centuries, in the Sentence Correction forum
“Generally, COMMA + with serves to introduce something that ACCOMPANIES or FACILITATES the preceding action. B: the annual total catch...peaked in 1989, but with the total catch since then Here, the usage of COMMA + but with conveys that the portion in red accompanied the action in blue. This ...”
April 11, 2018
GMATGuruNY posted a reply to Operations with Integers in the Problem Solving forum
“Let $B = the amount spent on bananas and $A = the amount spent on apples. Since each banana sells for 50 cents, we get the following options for $B, in cents: 50, 100, 150, 200... Every value in the list above ends in 50 or 00. Implication: Since $B + $A = 630, $A must end in either 80 or ...”
April 11, 2018
GMATGuruNY posted a reply to Is x^2-y^2>x+y? in the Data Sufficiency forum
“Perfect!”
April 11, 2018
beatthegmat posted a reply to Delete account in the Suggestions and Feedback forum
“Hi Dhinda, Your account has been deleted. Best, The BeatTheGMAT Team”
April 11, 2018
GMATGuruNY posted a reply to Reggie was hiking on a 6-mile loop trail at a rate of 2 in the Problem Solving forum
“Let Reggie travel CLOCKWISE. Since Reggie''s rate = 2 mph, the distance traveled by Reggie in 1 hour = rt = 2*1 = 2 miles. At this point, Cassie can travel clockwise to catch-up to Reggie or counterclockwise to meet him. Test the time required if Cassie travels COUNTERCLOCKWISE, with the result ...”
April 10, 2018
GMATGuruNY posted a reply to Over a three-week period, the price of an ounce of gold in the Problem Solving forum
“Let G = 100. After a 25% increase, the price = 100 + (25/100)(100) = 100 + 25 = 125. After a 20% decrease, the price = 125 - (20/100)(125) = 125 - 25 = 100. After a 5% increase, the price = 100 + (5/100)(100) = 100 + 5 = 105. The question stem asks for the final price: 105. Now plug G=100 ...”
April 10, 2018
GMATGuruNY posted a reply to Evaluate the Argument............OG Diagnostic test in the Critical Reasoning forum
“Premise: Metal rings recently excavated in Mexico were made using the same metallurgical techniques as those used by Ecuadorian artisans. Conclusion: The metallurgical techniques used to make the rings found in Mexico were learned by Mexican artisans from Ecuadorian counterparts. Rephrase the ...”
April 10, 2018
GMATGuruNY posted a reply to Is x>0? in the Data Sufficiency forum
“Statement 1: (x+y)² > (x-y)² x² + y² + 2xy > x² + y² - 2xy 2xy > -2xy 4xy > 0 xy > 0. Implication: x and y have the SAME SIGN. Since x and y could both be positive or both be negative, INSUFFICIENT. Statement 2: x+y > x-y y > -y 2y > 0 y > 0. No ...”
April 10, 2018
GMATGuruNY posted a reply to How many ways could three people sit at a table in the Problem Solving forum
“Let the 3 people be A, B and C. Number of options for A = 5. (Any of the 5 seats.) Number of options for B = 4. (Any of the 4 remaining seats.) Number of options for C = 3. (Any of the 3 remaining seats.) To combine these options, we multiply: 5*4*3 = 60. The correct answer is C.”
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
GMATGuruNY posted a reply to Is x^2-y^2>x+y? in the Data Sufficiency forum
“Question stem, rephrased: Is (x+y)(x-y) > x+y? Statement 1: x - y < 0 If x-y = -1 and x+y = 1, then (x+y)(x-y) = -1 and x+y = 1, so the answer to the question stem is NO. If x-y = -1 and x+y = -1, then (x+y)(x-y) = 1 and x+y = -1, so the answer to the question stem is YES. ...”
April 9, 2018
GMATGuruNY posted a reply to 700-800 Level Manhattan GMAT in the Sentence Correction forum
“COMMA + as compared is a valid construction. An OA in GMATPrep: CEO’s now earn 419 times the pay of blue-collar workers, as compared to 42 times their pay, the ratio in 1980. Proposed revision: Studies of test scores show that watching television has a markedly positive effect on ...”
April 9, 2018
GMATGuruNY posted a reply to A jar contains 4 balls, labeled 1,2,3, and 4. A ball is sel in the Problem Solving forum
“P = (ways to draw 2 balls with a difference of 1)/(total ways to draw 2 balls). Total ways to draw 2 balls: Number of options for the first ball = 4. (Any of the 4 numbers.) Number of options for the second ball = 4. (Any of the 4 numbers.) To combine these options, we multiply: 4*4 = 16. ...”
April 9, 2018
GMATGuruNY posted a reply to Is the sum of 3 positive integers divisible by 6 ? in the Data Sufficiency forum
“Here are a few ways: Only one of the three integers is odd. Exactly one of the three integers is odd. Exactly two of the three integers are even. Only the least of the three integers is odd. Of the three integers, only the greatest is odd.”
April 8, 2018
GMATGuruNY posted a reply to Is the sum of 3 positive integers divisible by 6 ? in the Data Sufficiency forum
“The interpretation in red is incorrect. Statement 1 states only that -- of the 3 positive integers -- the SMALLEST is odd. Statement 2 states only that -- of the 3 positive integers -- the GREATEST is odd. Neither statement indicates that ONLY ONE of the integers is odd.”
April 8, 2018
GMATGuruNY posted a reply to Is the sum of 3 positive integers divisible by 6 ? in the Data Sufficiency forum
“Statements combined: Case 1: The 3 integers are 1, 6, and 11, with the result that the sum of the 3 integers = 1+6+11 = 18 Since 18 is divisible by 6, the answer to the question stem is YES. Case 2: The 3 integers are 1, 5, and 11, with the result that the sum of the 3 integers = 1+5+11 = 17 ...”
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
GMATGuruNY posted a reply to A 45° - 45° - 90° right triangle has hypotenuse of length in the Problem Solving forum
“The sides of a 45-45-90 triangle are in the following ratio: s : s : s√2. Let s=1, implying that h = s√2 = (1)(√2) = √2. In a 45-45-90 triangle, the legs constitute the base and height. Since each leg has a length of 1, we get: Area = (1/2)bh = (1/2)(1)(1) = 1/2. The question stem ...”
April 8, 2018
GMATGuruNY posted a reply to In a certain performance of a 3-act play, the first act was in the Problem Solving forum
“Total number of minutes = (number of acts)(average number of minutes per act) = 3*46 = 138. We can PLUG IN THE ANSWERS, which represent the time for the third act. When the correct answer is plugged in, the total number of minutes = 138. B: 39 minutes Since the first act is 18 minutes shorter ...”
April 8, 2018
GMATGuruNY posted a reply to Set Problem in the Problem Solving forum
“Total who pass = Physics + Chemistry + Math - (exactly 2 subjects) - 2(all 3 subjects). Since 10 of 100 students pass none of the 3 subjects, the total number who pass at least one subject = 100-10 = 90. Of these 90 students, 80 pass Physics, 70 pass Chemistry, and 40 pass Math. Plugging these ...”
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
GMATGuruNY posted a reply to At a particular grade school, there are two math classes in the Data Sufficiency forum
“Statements combined: Case 1: W = 5*5 students and Z = 5*5*9*9 students Here, 5 is the only prime factor common to W and Z, and Z is a multiple of 9 In this case, the GCF of W and Z is 25. Case 2: W = 5*5*5 students, Z = 5*5*5*9*9*9 students Here, 5 is the only prime factor common to W and Z, ...”
April 7, 2018
GMATGuruNY posted a reply to A bag has 4 blue, 3 yellow and 2 green balls. The balls in the Problem Solving forum
“Number of options for the 4 blue balls = 5. (0, 1, 2, 3, or 4 blue balls may be chosen, for a total of 5 options.) Number of options for the 3 yellow balls = 4. (0, 1, 2, or 3 yellow balls may be chosen, for a total of 4 options.) Number of options for the 2 green balls = 3. (0, 1, or 2 green ...”
April 7, 2018
GMATGuruNY posted a reply to A basketball coach will select the members of a five-player in the Problem Solving forum
“Since 5 of the 9 players are included on the team, P(John is included) = 5/9. Since 4 of the remaining 8 players are included on the team, P(Peter is included) = 4/8. To combine the probabilities, we multiply: 5/9 * 4/8 = 5/18. The correct answer is D. Alternate approach: P = (5-member ...”
April 7, 2018
GMATGuruNY posted a reply to If the average (arithmetic mean) price of apples, bananas an in the Data Sufficiency forum
“Sum of the 3 prices = (number of prices)(average price) = 3*3 = $9. Statement 1: A=$3, implying that B+C = 9-3 = $6 Case 1: B=$3 and C=$3, with the result that B+C = $6 In this case, the 3 prices are as follows: $3, $3, $3 Thus, the median price = 3. Case 2: B<$3 and C>$3 or B>$3 ...”
April 7, 2018
GMATGuruNY posted a reply to In how many ways can 3 different portraits be mounted in the Problem Solving forum
“Number of options for the first portrait = 4. (Any of the 4 walls.) Number of options for the second portrait = 3. (Any of the 3 remaining walls.) Number of options for the last portrait = 2. (Either of the 2 remaining walls.) To combine the options above, we multiply: 4*3*2 = 24. The correct ...”
April 7, 2018
GMATGuruNY posted a reply to A company has two models of computers, model M and in the Problem Solving forum
“Let the task = 18 units. Since M takes 18 minutes to complete the 18-unit task, M''s rate = w/t = 18/18 = 1 unit per minute. Since N takes 9 minutes to complete the 18-unit task, N''s rate = w/t = 18/9 = 2 units per minute. Combined rate for M+N = 1+2 = 3 units per minute. For the 18-unit task ...”
April 7, 2018
GMATGuruNY posted a reply to Headway is now targeted at a wider readership - to include a in the Critical Reasoning forum
“The OA is invalid. Passage: Headway is now targeted at a wider readership -- to include all NUT members who are on the leadership salary spine. Implication: Before now, Headway did not include ALL NUT MEMBERS on the leadership salary spine. Since we know only that Headway did not include ALL ...”
April 6, 2018
GMATGuruNY posted a reply to GMATPrep: Quasars are so distant that their in the Sentence Correction forum
“The past perfect (had + VERBed) serves to express an action or state-of-being completed before another past event. B: they had been during the formation of the universe Here, the state-of-being conveyed by the past perfect verb in red is not completed before another past event. Thus, the usage of ...”
April 6, 2018
GMATGuruNY posted a reply to 5 blue marbles, 3 red marbles and 4 purple marbles in the Problem Solving forum
“P(not 2 blue and 2 purple) = 1 - P(exactly 2 blue and exactly 2 purple). P(exactly n times) = P(one way) * total possible ways. P(one way): One way to get exactly 2 blue and exactly 2 purple: BBPP. P(B on the 1st pick) = 5/12. (Of the 12 marbles, 5 are blue.) P(B on the 2nd pick) = 4/11. ...”
April 6, 2018
GMATGuruNY posted a reply to Is x > y? in the Data Sufficiency forum
“Statement 1: If x=1 and y=0, then the answer to the question stem is YES. If x=0 and y=1, then the answer to the question stem is NO. INSUFFICIENT. Statement 2: If x=1 and y=0, then the answer to the question stem is YES. If x=-1 and y=0, then the answer to the question stem is NO. ...”
April 6, 2018
GMATGuruNY posted a reply to Is M<0? in the Data Sufficiency forum
“Statement 1: It''s possible that M=0, in which case the answer to the question stem is NO. It''s possible that M=-1 in which case the answer to the question stem is YES. INSUFFICIENT. Statement 2: If M=3, then the answer to the question stem is NO. If M=-3, then the answer to the question ...”
April 6, 2018
GMATGuruNY posted a reply to In a courtyard, one bell rings every 1/4 hour and another in the Problem Solving forum
“To make the math easier, let the total timeline = the LCM of the two denominators 4 and 5 = 20 minutes. Dividing a 20-minute timeline into 5ths and 4ths, we get: 0....4...5...8...10...12...15...16...20. Each of the values above represents a ring. The timeline yields the following intervals ...”
April 6, 2018
GMATGuruNY posted a reply to Both car A and car B set out from their original locations.. in the Problem Solving forum
“Let t = A'' s time, implying that t+2 = B''s time. Since A''s rate = 65 mph, the total distance traveled by A in t hours = 65t. Since B''s rate = 50 mph, the total distance traveled by B in t+2 hours = 50(t+2). Since B travels BACK AND FORTH, while A travels only in only ONE DIRECTION, B''s total ...”
April 6, 2018
GMATGuruNY posted a reply to If 1.5/(0.2 + x) in the Problem Solving forum
“To clear the decimals, multiply the top and the bottom of the red fraction by 10: 15/(2 + 10x) = 5. Since 15/3 = 5, the expression in blue must be equal to 3: 2 + 10x = 3 10x = 1 x = 1/10. The correct answer is B.”
April 5, 2018
GMATGuruNY posted a reply to A work crew of 4 Men takes 5 days to complete one-half in the Problem Solving forum
“Let the rate for each man = 1 unit per day, implying that the combined rate for 4 men = 4 units per day. Since the rate for the original 4-men crew = 4 units per day, the amount of work produced in the first 5 days = rt = 4*5 = 20 units. Since these 20 units constitute 1/2 the job -- implying that ...”
April 5, 2018
GMATGuruNY posted a reply to Is √x+x>-√y? in the Data Sufficiency forum
“Question stem, rephrased: Is √x + √y + x > 0? Statement 1: Substituting √x+√y = 1 into the rephrased question stem, we get: 1 + x > 0 ? x > -1? Since √x implies that x≥0, the answer to the blue question is YES. SUFFICIENT. Statement 2: Substituting x = POSITIVE into ...”
April 5, 2018
GMATGuruNY posted a reply to The tornado left a path of destruction in its wake, causing in the Sentence Correction forum
“and must serve to connect PARALLEL FORMS. A: the collapse of several homes, massive power outages, tearing apart construction projects, and widespread business closures. Here, the blue portions are all composed of NOUNS and MODIFIERS, while the red portion is composed of a VERBing (tearing ...”
April 5, 2018
GMATGuruNY posted a reply to A troublesome scrub jay in the Sentence Correction forum
“to tend to do X = to be inclined to do X. A scrub jay can remember when it cached a particular piece of food in a particular place and tends not to bother to recover a perishable treat it stored long enough to have rotted. If tends is construed to be parallel with cached, we get the following: ...”
April 4, 2018
GMATGuruNY posted a reply to With the patience of its customers and.......OG2018 in the Sentence Correction forum
“B: with the patience of its customers and its network Case 1: the patience and its network are intended to be parallel, as follows: WITH THE PATIENCE and WITH ITS NETWORK. Case 2: its customers and its network are intended to be parallel, as follows: OF ITS CUSTOMERS and OF ITS NETWORK Case 2 ...”
April 4, 2018
GMATGuruNY posted a reply to OG: Metal rings recently excavated form in the Critical Reasoning forum
“Premise: Metal rings recently excavated in Mexico were made using the same metallurgical techniques as those used by Ecuadorian artisans. Conclusion: The metallurgical techniques used to make the rings found in Mexico were learned by Mexican artisans from Ecuadorian counterparts. Rephrase the ...”
April 4, 2018
GMATGuruNY 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
“Since A''s rate is 100 km per hour, the distance traveled by A in the first hour = 100 km. Remaining distance between A and B = (total distance) - (distance traveled by A in the first hour) = 600-100 = 500 km. When A and B drive toward each other, they WORK TOGETHER to cover the remaining 500 km ...”
April 4, 2018
GMATGuruNY posted a reply to Of the goose eggs laid at a certain pond, 2/3 hatched and... in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the total number of eggs. When the correct answer is plugged in, the number of geese that survive the first year = 120. The fractions in the prompt -- 2/3, 3/4 and 3/5 -- imply that the correct answer that the correct answer must be a multiple of 3, 4 ...”
April 4, 2018
GMATGuruNY posted a reply to The number of stamps that Kaye and Alberto had were... in the Problem Solving forum
“The answer choices imply that the values in the problem are all MULTIPLES OF 10. Since K:A = 5:3, the following options are implied: K=50, A=30 K=100, A=60 K=150, A=90 K=200, A=120. After K gives away 10 stamps and A receives 10 stamps, the resulting values for K and A must be in a ratio ...”
April 4, 2018
Brent@GMATPrepNow posted a reply to The number of stamps that Kaye and Alberto had were... in the Problem Solving forum
“One option is to solve the question using TWO VARIABLES. Let K = # of stamps K had after the exchange Let A = # of stamps A had after the exchange This means that K+10 = # of stamps K had before the exchange This means that A-10 = # of stamps A had before the exchange Note: Our goal is to ...”
April 4, 2018
GMATGuruNY posted a reply to With the patience of its customers and.......OG2018 in the Sentence Correction forum
“The phrase in blue is not redundant. One definition of initiative is an action intended to solve a problem. Thus: new initiatives = new actions intended to solve a problem.”
April 3, 2018
GMATGuruNY posted a reply to Five years ago Jim was three times as old as Raoul in the Problem Solving forum
“Test the SMALLEST POSSIBLE CASE. Five years ago Jim was three times as old as Raoul was and Monica was six years older than Raoul was. Let R=1, implying that J = 3R = 3*1 = 3 and that M = R+6 = 1+6 = 7. In this case, their ages 5 years from now -- in other words, 10 years beyond 5 years ago -- ...”
April 3, 2018
GMATGuruNY posted a reply to Is |x−y|>|x+y| ? in the Data Sufficiency forum
“Is |x-y| > |x+y|? When each side of an inequality is an absolute value, we can square the inequality. (x-y)² > (x+y)² x² - 2xy + y² > x² + 2xy + y² 0 > 4xy 0 > xy. The resulting inequality is true only if x and y have different signs. Question stem, rephrased: ...”
April 3, 2018
Brent@GMATPrepNow posted a reply to Five years ago Jim was three times as old as Raoul in the Problem Solving forum
“Let R = Raoul''s PRESENT age So, R - 5 = Raoul''s age 5 YEARS AGO Five years ago .... Monica was six years older than Raoul was. So, (R - 5) + 6 = Monica''s age 5 YEARS AGO In other words, R + 1 = Monica''s age 5 YEARS AGO Five years ago Jim was three times as old as Raoul was So, 3(R - 5) ...”
April 3, 2018
beatthegmat posted a new topic called An Insider’s Guide to the GRE® General Test in the GMAT Strategy forum
“Are you getting ready for the GRE<sup>®</sup> General Test? The test has several smart features that can help you do your best, but you’ll still have to do your part. The more prepared you are, the more confident you will feel on test day. This overview of the test with tips and ...”
April 2, 2018
GMATGuruNY posted a reply to If x and y are positive integer, what is the remainder in the Data Sufficiency forum
“When x is divided by y, the remainder is R. This statement implies the following: x is R more than a multiple of y. Translated into math: x = ky + R, where k is an integer such that k≥0. Statement 1: When x is divided by 2y, the remainder is 4 Case 1: y=3, implying that 2y=6 Here, when x ...”
April 2, 2018
GMATGuruNY posted a reply to Are there more girls than boys at a school? in the Data Sufficiency forum
“Statement 1: (3/7)G > (1/3)B G > (7/3)(1/3)B G > (7/9)B. Case 1: B=9 Substituting B=9 into G > (7/9)B, we get: G > (7/9)(9) G > 7. If G=8, then there are more boys than girls, so the answer to the question stem is NO. If G=10, then there are more girls than boys, so the ...”
April 2, 2018
GMATGuruNY posted a reply to What is the value of x^2 - y^2? in the Data Sufficiency forum
“Statement 1: x+y = 16 If x=8 and y=8, then x² - y² = 8² - 8² = 0. If x=10 and y=6, then x² - y² = 10² - 6² = 64. Since x² - y² can be different values, INSUFFICIENT. Statement 2: x-y = 0, implying that x=y Substituting x=y into x² - y², we get: x² - y² = x² - x² = 0. ...”
April 1, 2018
GMATGuruNY posted a reply to On his morning jog, Charles runs through a park in the in the Problem Solving forum
“rate = distance/time. Let the diameter = 7 meters, implying that the circumference of the semicircle = (πd)/2 = A.”
April 1, 2018
GMATGuruNY posted a reply to By recording the noise of crinkled wrappers as they were in the Sentence Correction forum
“A, C and E: By recording the noise of crinkled wrappers as they were slowly stretched out in an otherwise silent chamber, a team of scientists found the noise. The phrase in red distorts the intended meaning. When the crinkled wrappers were STRETCHED OUT, the noise was not found; it was CREATED. ...”
April 1, 2018
GMATGuruNY posted a reply to In a race of 6 horses A, B, C, D, E and F, what is the prob in the Problem Solving forum
“Within the race, the number of possible orderings for A, B and C = 3! = 6. Since there are 2 orderings in which A appears before both B and C -- ABC and ACB -- we get: P(A appears before both B and C) = 2/6 = 1/3. The correct answer is B.”
April 1, 2018
Brent@GMATPrepNow posted a reply to Is the product abcd negative? in the Data Sufficiency forum
“Target question: Is the product abcd negative? Statement 1: a < b < c < d This statement doesn''t FEEL sufficient, so I''ll TEST some values. There are several values of a, b, c, and d that satisfy statement 1. Here are two: Case a: a = -1, b = 1, c = 2 and d = 3. In this case, ...”
March 31, 2018
beatthegmat posted a reply to The early Greeks designed a mud-brick temple that mirrored t in the Sentence Correction forum
“Please provide OA and source.”
March 31, 2018
Brent@GMATPrepNow posted a reply to At a garage sale, all of the prices of the items sold were in the Problem Solving forum
“The price of the radio was the 15th highest price So, there were 14 items that were more expensive than the radio. In other words, if we listed all of the prices in ascending order, we''d get something like: ........... radio, X, X, X, X, X, X, X, X, X, X, X, X, X, X The price of the radio ...”
March 31, 2018
Brent@GMATPrepNow posted a reply to How many positive two-digit numbers yield... in the Problem Solving forum
“Your approach is perfect. I can''t think of a faster approach. Cheers, Brent”
March 31, 2018
Brent@GMATPrepNow posted a reply to PS Question: Division of money in the GMAT Math forum
“This, I believe, is a 700+ level question. Cheers, Brent”
March 31, 2018
GMATGuruNY posted a reply to The discovery of glass being expandable and able to be shape in the Sentence Correction forum
“The wording in A indicates that the underlined portion should be extended as follows: A, B and C: The discovery of glass...revolutionized glass-working. This meaning is nonsensical. Whereas the red portion implies that glass was something NEW, the blue portion implies that glass HAD LONG ...”
March 31, 2018
GMATGuruNY posted a reply to Critical points method for inequality Is x^2 > 1/x? in the Data Sufficiency forum
“CRITICAL POINTS occur where an inequality is UNDEFINED and where the two sides are EQUAL. To determine the valid range for an inequality, test one value to the left and right of each critical point. Question stem: x² > 1/x ? Here, the critical points are x=0 (in which case 1/x is undefined) ...”
March 31, 2018
Brent@GMATPrepNow posted a reply to Critical points method for inequality Is x^2 > 1/x? in the Data Sufficiency forum
“Target question: Is x² > 1/x ? Statement 1: x² > x First off, this inequality tells us that x ≠ 0 Second, we can conclude that x² is POSITIVE. So, we can safely divide both sides of the inequality by x² to get: 1 > 1/x If 1 > 1/x, then there are two possible cases: ...”
March 30, 2018
GMATGuruNY posted a reply to In many of the world’s regions, increasing pressure on wat in the Sentence Correction forum
“Generally: NO COMMA + so that serves to introduce the INTENT of the preceding clause. COMMA + so that serves to introduce the CONSEQUENCE of the preceding clause. OA: In many of the world’s regions, increasing pressure on water resources has resulted from expanding development, changes in ...”
March 30, 2018
Brent@GMATPrepNow posted a reply to How many passengers can be seated on a plane with r rows, if in the Problem Solving forum
“d double seats will seat 2d passengers t triple seats will seat 3t passengers So, the total number of seats in ONE ROW = 2d + 3t The plane has a total of r rows. So, the TOTAL number of seats = r(2d + 3t) Check the answer choices....not there (at least not in the above form) Expand to get: ...”
March 30, 2018
Brent@GMATPrepNow posted a reply to If 50-√7<x<50+√7, then x=? in the Data Sufficiency forum
“Target question: What is the value of x? Given: 50 - √7 < x < 50 + √7 √4 = 2 √9 = 3 So, we can say that √7 = 2.something This means: 50 - 2.something < x < 50 + 2.something Simplify to get: 47.something < x < 52.something Statement 1: x is an odd ...”
March 30, 2018
Brent@GMATPrepNow posted a reply to Grammer in the Sentence Correction forum
“With NONE, we examine the part after NONE to see whether it''s singular or plural. Here we have "None of my friends" (plural), so we need plural ARE.... Cheers, Brennt”
March 30, 2018
Brent@GMATPrepNow posted a reply to PS Question: Division of money in the GMAT Math forum
“Another approach: This time, let K = the money REMAINING after Ann has received her portion AND after Bob has taken $4. At this point, Bob receives 1/3 of K, and Chloe gets the rest. This means that Chloe receives 2/3 of K Since Chloe receives $32, we can say that: (2/3)K = 32 Multiply ...”
March 30, 2018
Brent@GMATPrepNow posted a reply to PS Question: Division of money in the GMAT Math forum
“Note: we don''t need to consider Ann''s portion in the solution. Let K = the money remaining AFTER Ann has received her portion and then go from there. We''re told that, once we remove Bob''s portion, we have $32 for Chloe. So, we get K - Bob''s $ = 32 Bob receives $4 plus one-third of what ...”
March 30, 2018
GMATGuruNY posted a reply to A patient is given exactly 750 millimeters of a mixture of in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the amount of Medication B in the mixture. When the correct answer is plugged in, the amount of painkiller = 215. D: Medication B=425, implying that Medication A = 750-425 = 325 Amount of painkiller = (20% of B) + (40% of A) = 85 + 130 = 215. ...”
March 30, 2018
GMATGuruNY posted a reply to What is the area of the shaded region? in the Problem Solving forum
“Shaded region = (triangle area - sector area)/2 = (12 - sector area)/2 = 6 - (sector area)/2. The expression in blue implies that the correct answer must be A or B. Option A yields a negative value: 6 - 3π ≈ 6 - 9 = -3. The correct answer is B.”
March 30, 2018
Brent@GMATPrepNow posted a reply to When 1/10 percent of 5,000 is subtracted from 1/10 of 5,000 in the Problem Solving forum
“1/10 percent of 5,000 10% of 5,000 = 500 1% of 5,000 = 50 0.1% of 5,000 = 5 In other words, 1/10 percent of 5,000 = 5 1/10 of 5,000 1/10 of 5,000 = (1/10)(5,000) = 5000/10 = 500 DIFFERENCE = 500 - 5 = 495 Answer: D Cheers, Brent”
March 29, 2018
Brent@GMATPrepNow posted a reply to Car X is 40 miles west of Car Y. Both cars are traveling in the Problem Solving forum
“Here''s one approach: Let''s let Car X''s original position be the initial starting point. So, when Car X is at the initial starting point, Car Y has already traveled 40 miles. My word equation involves the conditions when Car X catches up to Car Y. At that point, we can say: Car X''s ...”
March 29, 2018
Brent@GMATPrepNow posted a reply to In a sequence of 8 consecutive integers, how much greater is in the Problem Solving forum
“Let''s test 8 consecutive integers How about: 1, 2, 3, 4, 5, 6, 7, 8 sum of the first four integers = 1 + 2 + 3 + 4 = 10 sum of the last four integers = 5 + 6 + 7 + 8 = 26 Difference = 26 - 10 = 16 Answer: C Cheers, Brent”
March 29, 2018
Brent@GMATPrepNow posted a reply to In a stack of boards at a lumber yard, the 20th board in the Problem Solving forum
“Let''s start from the bottom and work our way up: We''ll start with the 16th board counting from the bottom of the stack Right BELOW that 16th board, we have a board that we''ll call Larry. So, Larry is the 15th board counting from the bottom of the stack. So, starting from the bottom and ...”
March 29, 2018
Brent@GMATPrepNow posted a reply to Health insurance Plan A requires the insured to pay $1000 or in the Problem Solving forum
“Here''s an algebraic approach: Let T = TOTAL COST Plan A: Person pays EITHER $1000 OR 0.5T, whichever is LESS Plan B: Person pays $300 plus 20% of anything over $300. In other words, the person pays $300 + 0.2(T - 300) Since Plan A has two different scenarios, we need to test both. That ...”
March 29, 2018
GMATGuruNY posted a reply to Health insurance Plan A requires the insured to pay $1000 or in the Problem Solving forum
“Nothing is wrong with C; it is the OA. Several solutions are posted here: https://www.beatthegmat.com/health-insurance-plan-a-requires-the-insured-to-pay-1000-t301243.html”
March 29, 2018
GMATGuruNY posted a reply to Thomas Eakins' powerful style-The present perfect tense coul in the Sentence Correction forum
“Generally: to + NOUN serves to convey DIRECTION. The ball was thrown TO MARY. Conveyed meaning: The ball was thrown in Mary''s direction. for + NOUN serves to convey BENEFIT. Vegetables are good FOR CHILDREN. Conveyed meaning: Children derive BENEFIT from the consumption of vegetables. ...”
March 29, 2018
GMATGuruNY posted a reply to How many different three-digit numbers can be formed which c in the Problem Solving forum
“Integers with exactly 2 digits the same = Total integers - Integers with all 3 digits the same - Integers with all 3 digits different. Total integers: To count consecutive integers, use the following formula: Number of integers = biggest - smallest + 1. Biggest 3-digit integer = 999. Smallest ...”
March 29, 2018
GMATGuruNY posted a reply to In a rare coin collection, one in six coins is gold... in the Problem Solving forum
“Since all of the values in the problem are multiples of 10, the current number of coins is almost certainly a multiple of 10. Since 1 of every six coins is gold, G : S = 1:5, implying that the number of silver coins is 5 times the number of gold coins. Options for G and S: G=10, S=50 G=20, ...”
March 29, 2018
GMATGuruNY posted a reply to In how many ways can the letters of the word ABACUS... in the Problem Solving forum
“Since the vowels must appear together, put them together in a BLOCK: D: (4! * 3!)/2! = 4! * 3. The correct answer is D.”
March 29, 2018
GMATGuruNY posted a reply to Andrew borrows equal sums of money under simple interest... in the Problem Solving forum
“- Let x = the number of months of 5% interest, implying that x+6 = the number of months of 4% interest. Since the amount yielded in each case must be the SAME, we get: 0.05x = 0.04(x+6) 5x = 4(x+6) 5x = 4x + 24 x = 24. Thus, Andrew pays 24 months -- or 2 years -- of 5% interest, for a total ...”
March 28, 2018
GMATGuruNY posted a reply to OG Jacob Burkhardt's view that Renaissance in the Reading Comprehension forum
“Jacob Burckhardt’s view that Renaissance European women “stood on a footing of perfect equality” with Renaissance men has been repeatedly cited by feminist scholars as a prelude to their presentation of rich historical evidence of women’s inequality. A prelude is an INTRODUCTION. ...”
March 28, 2018
GMATGuruNY posted a reply to Under high pressure and intense heat, graphite in the Sentence Correction forum
“and must serve to connect PARALLEL FORMS. A, B and C: graphite changes...and remaining Here, changes (verb) and remaining (modifier) are not parallel forms. Eliminate A, B and C. Generally, in this way refers to the METHOD used to achieve a desired result. D: Under high pressure and intense ...”
March 28, 2018
GMATGuruNY posted a reply to og18: A pioneer journalist, Nellie Bly’s exploits in the Sentence Correction forum
“This SC is discussed at length here: https://www.beatthegmat.com/a-pioneer-journalist-nellie-bly-s-exploits-t278326-15.html”
March 28, 2018
GMATGuruNY posted a reply to Which of the following inequalities is equivalent to in the Problem Solving forum
“Since x=0 satisfies the given inequality, the correct answer must include 0 within its range. Eliminate A, B and D. Since x=2 satisfies the given inequality, the correct answer must include 2 within its range. Eliminate E. The correct answer is C.”
March 28, 2018