GMAT Quant Error Questions

Nina has exactly enough money to purchase 6 widgets. If the cost of each widget were reduced by $1.25, then Nina would have exactly enough money to purchase 8 widgets. How much money does Nina have? $22 $24 $30 $36 $40

Answer: $30 6x = T 8(x - 1.25) = T https://gmat.magoosh.com/answers/161787131?review%5Bpractice_session_id%5D=19452649

The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that either event A or event B occurs is 0.6, what is the probability that event B will occur? 0.05 0.15 0.45 0.50 0.55

Answer: 0.45 You can use the "OR" formula P(A or B) = P(A) + P(B) - P(A and B) P(A) = 0.4 P(A and B) = 0.25 P(A or B) = 0.6 Plug into formula and solve for P(B): 0.6 = 0.4 + P(B) - 0.25 0.6 = 0.15 + P(B) 0.45 = P(B)

Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 1000 widgets? 1 hour and 20 minutes 1 hour and 24 minutes 1 hour and 30 minutes 1 hour and 36 minutes 1 hour and 40 minutes

Answer: 1 hour and 40 minutes So, first we'd need to convert the figures to fractions and convert the hours to minutes Machine A: 350/60=35/6 Machine B: 250/60=25/6 Combine both of the fractions 35/6+25/6=60/6=10 10x=1000 or x=100 minutes 100 minutes= 1 hour and 40 minutes https://gmat.magoosh.com/answers/167632652?review%5Bpractice_session_id%5D=20196478

In a group of children, the average (arithmetic mean) weight of the boys is 60 pounds, and the average weight of the girls is 48 pounds. If the average weight of all of the children in the group is 50 pounds, what is the ratio of the number of boys to the number of girls? 1/12 1/6 1/5 1/4 1/3

Answer: 1/5 Topic: Ratios https://gmat.magoosh.com/answers/162633407?review%5Bpractice_session_id%5D=19559472

Which of the following is a root of the equation 2x^2 - 20x = 48? -4 2 6 8 12

Answer: 12 It's important to notice that this is a quadratic equation meaning that we can factor out

On Monday, the regular price of a widget was discounted by 25 percent. On Tuesday, the reduced price was discounted by 50 percent. If the final price was $60, what was the regular price? $135 $150 $160 $175 $180

Answer: 160 https://gmat.magoosh.com/answers/167642856?review%5Bpractice_session_id%5D=20196478

To create paint with a certain shade of gray, one must combine 2.016 liters of black paint with every one liter of white paint. Approximately how many liters of white paint must be combined with 350 liters of black paint to create the certain shade of gray? 173.6 176.4 347.1 694.4 705.6

Answer: 173.6

Suppose a "Secret Pair" number is a four-digit number in which two adjacent digits are equal and the other two digits are not equal to either one of that pair or each other. For example, 2209 and 1600 are "Secret Pair" numbers, but 1333 or 2552 are not. How many "Secret Pair" numbers are there? 720 1440 1800 1944 2160

Answer: 1944 There are three cases: AABC, ABBC, and ABCC. In case I, AABC, there are nine choices for A (because A can't be zero), then 9 for B, then 8 for C. 9*9*8 = 81*8 = 648. In case II, ABBC, there are 9 choices for A, 9 for B, and 8 for C. Again, 648. In case III, ABCC, there are 9 choices for A, 9 for B, and 8 for C. Again, 648. 48*3 = (50 - 2)*3 = 150 - 6 = 144 3*648 = 3(600 + 48) = 1800 + 144 = 1944

In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 25 public schools, 16 parochial schools, and 9 private independent schools. These 50 schools are divided between three districts: A, B, and C. District A has 18 high schools total. District B has 17 high schools total, and only two of those are private independent schools. If District C has an equal number of each of the three kinds of schools, how many private independent schools are there in District A? 2 3 4 5 6

Answer: 2 https://gmat.magoosh.com/answers/161787406?review%5Bpractice_session_id%5D=19452649

If 4x = 14 and xy = 1 then y = 56 7/2 2/7 1/5 1/56

Answer: 2/7 Topic: Algebraic Expressions

If 5x - 3y = 7 and 2y - 4x = 3, then 2x - 2y = -4 4 8 16 20

Answer: 20 https://gmat.magoosh.com/answers/165244406?review%5Bcorrect%5D%5B%5D=0

The ratio of the number of minutes Shanaya talked on her cell phone in March to the number of minutes she talked on her cell phone in April is 6/5. If she talked on her phone 60 more minutes in March, the ratio of minutes talked in March to minutes talked in April would have been 3/2. How many minutes did Shanaya talk on her cell phone in April? A. 60 B. 90 C. 120 D. 180 E. 200

Answer: 200 It's important to set up ratio equation to answer this question Minutes in March/Minutes in April=6x/5x If she talked 60 minutes more in March to April, equation would be 6x+60/5x We're given the new ratio 3:2 for the above equation. Set up a proportion= 6x+60/5x=3/2 Cross multiply= 2(6x+60)=3(5x) 12x+120=15x 120=3x x=40 TAKE THIS NUMBER AND PLUG IT INTO THE 5X in the original equation. 40 is NOT the answer 5(40)=200

If the average (arithmetic mean) of 3, 8, w, x, and y is 14, then the average of w + 2, x - 3, and y + 8 is 11 13.2 17 19.4 22

Answer: 22

When 12 marbles are added to a rectangular aquarium, the water in the aquarium rises 1 ½ inches. In total, how many marbles must be added to the aquarium to raise the water 2 ¾ inches? 16 18 20 22 24

Answer: 22 https://gmat.magoosh.com/answers/167637359?review%5Bpractice_session_id%5D=20196478

If x^2 - y^2 = 12 and x - y = 4, then x = 1.5 2.5 3.5 4.5 5.5

Answer: 3.5 It's important to know that you need to know the difference of two squares Topic: Algebraic Expressions

If a sequence is defined by an = (an-1)2 - 2(an-2) for n≥1, and if a1 = 2 and a2 = 3, what is the fifth term (a5) of the sequence? 3 19 87 351 831

Answer: 351

If x/3 + x/4 + 15 = x, then x = 18 24 36 48 60

Answer: 36 https://gmat.magoosh.com/answers/167634066?review%5Bpractice_session_id%5D=20196478

9^k x 27^2k = 3^5+3k 3^8k 3^11k 312^k 3^12k2

Answer: 3^8k We need to convert the 9 and 27 to have a base of 3 This is will equal to 3^2^k=3^3^2k 3^8k https://gmat.magoosh.com/answers/167634461?review%5Bpractice_session_id%5D=20196478

If x = 7/9 - 15/18 + 10/12 then (1-x)^2 = 1/9 4/81 25/144 9/16 25/36

Answer: 4/81 It's important to find the LCM of all three demoninators The key here is to notice that the fractions given can be simplified: x = 7/9 - 15/18 + 10/12 We can reduce 15/18 and 10/12 to get: x = 7/9 - 5/6 + 5/6 Which leaves us with x = 7/9. That's much easier to plug in: (1-x)^2 = (1-7/9)^2 = (9/9-7/9)^2 = (2/9)^2

If x4 = y16, then y = 4√x √x x^2 x^4 x^12 ​

Answer: 4√x https://gmat.magoosh.com/answers/167639587?review%5Bpractice_session_id%5D=20196478

In a certain sequence, the term tn is defined as tn = 3tn-1 - 2tn-2 for all n > 2. If t1 = -2 and t2 = -1 , then t4 = -10 -8 -3 1 5

Answer: 5

If 5^x+y = 125 and 3^x-3y = 1/9, then y = 5/2 1/4 1/2 5/2 5/4

Answer: 5/4 https://gmat.magoosh.com/answers/161785135?review%5Bpractice_session_id%5D=19452649

Joan has 100 candies to distribute among 10 children. If each child receives at least 1 candy and no two children receive the same number of candies, what is the maximum number of candies that a child can receive? 10 34 39 45 55

Answer: 55 https://gmat.magoosh.com/answers/161780781?review%5Bpractice_session_id%5D=19452649

For all numbers x and y, the operation # is defined by x y = (x+y)(x-y) + (y-x)(y+x) +xy. What is the value of square root of 12 # square root of 3? 6 12 18 24 36

Answer: 6 Topic: Algebraic Expressions

At a certain company, 30 percent of the male employees and 50 percent of the female employees have an MBA. If 40 percent of the employees are female, what percent of the employees do not have an MBA? 38 52 54 62 85

Answer: 62 NOTE: Pick a plug number to work with; an easy one like 100. Then, the problem tells us that 50% of all women have an MBA. Hence, 50% of 40 is 40*.5 = 20. 20 women have an MBA. If the total number of women is 40 and 20 of them have MBA, we can calculate how many women do not have MBA by subtracting the number that do from the total. 40 - 20 = 20 women do not have an MBA Now let's look at male employees. If 40% of the total number are females, 60% are males. Remember, we assumed total number to be a 100 people, so now we can calculate the number of males in the company. 60% of 100 is 60, so we now know the total number of males is 60. Similarly, we calculate the number of males with MBA: 30% of 60 is 60*0.3 = 18 males have an MBA 60 (total number of males) - 18 (the ones with an MBA) = 42 males do NOT have an MBA Now, to calculate the total number of employees without an MBA we add together males and females without an MBA 42 + 20 = 62

If k is an integer, what is the smallest possible value of k such that 1040k is the square of an integer? 2 5 10 15 65

Answer: 65 It's important that we take the prime factorization of the number 1040. We want a value of k that will give us the square of 1040k 1040 = 2 x 2 x 2 x 2 x 5 x 13 1040k=2 x 2 x 2 x 2 x 5 x 13xk Now, for a number to be the square of an integer, there must be an equal number of all prime factors. So we can split up these factors so that there's an equal number of each (or as close to it as possible): 1040k = (2 x 2 x 5 x 13)(2 x 2 x k) 13*5=65

2k years ago Frank was 3k years old. In k years Frank's age, in years, will be 4k 5k 6k 7k 8k

Answer: 6k 2k years ago, Frank was 3k years old. That means today he is 3k + 2k = 5k years old. In k years, Frank will be 5k + k = 6k years old.

Seven years ago Bob was k times as old as Ann. If Ann is now 11 years old, what is Bob's present age in terms of k? 7 + 4k 11/k + 7 11 - 7/k 11 - k/7 4k - 7

Answer: 7 + 4k Let's let B = Bob's present age. We know that 7 years ago, Bob's age was k times Ann's age, and Ann is currently 11. So: B - 7 = k(11-7) B - 7 = 4k B = 7+4k

n is a positive integer, and k is the product of all integers from 1 to n inclusive. If k is a multiple of 1440, then the smallest possible value of n is 8 12 16 18 24

Answer: 8 It's important to take the prime factorization of the number 1440. 1440 = 2 * 2 * 2 * 2 * 2 * 3 * 3 * 5 We know that n has to be as big as "5" https://gmat.magoosh.com/answers/165951823?review%5Bafter%5D=2017-07-27+00%3A00%3A00+-0300

Walking at a constant rate of 8 kilometers per hour, Juan can cross a bridge in 6 minutes. What is the length of the bridge in meters? (1 kilometer = 1000 meters) 480 600 720 750 800

Answer: 800 For this question, we must recall that Distance = Rate x Time. We're told that the rate is the speed at which Juan is walking. And, we're told that the duration (time) for which he was walking: Rate = 8 Kilometers/Hour Time = 6 Minutes It looks like we can just multiply these values together, and that will tell us the distance that he travelled across the bridge. However, notice that our rate is referring to distance per hour and our time travelled is measured in minutes. Before we multiply these values together, we must ensure that both units of time match. The easiest way to do this in this problem is to convert 6 minutes into the equivalent quantity in hours. Since there are 60 minutes in 1 hour, we can divide our minutes quantity by 60, and that quotient will represent our 6 minutes in hours: 6 minutes / 60 minutes per hour = 1/10 = 0.1 hours Now our units for time match in our rate and our time quantities: Rate = 8 Kilometers/Hour Time = 0.1 Hours Now, we can multiply our values together: Distance = 8 (Kilometers/Hour) x 0.1 (Hours) = 0.8 Kilometers Almost done! The question asks for the length of the bridge in meters. There are 1000 meters in 1 kilometer, so we can multiply our kilometers quantity by 1000, and we will have meters: 0.8 Kilometers x 1000 Meter per Kilometer = 800 Meters

Company P had 15 percent more employees in December than it had in January. If Company P had 460 employees in December, how many employees did it have in January? A. 391 B. 400 C. 410 D. 423 E. 445

Answer: B Because 460% is 115% of the number of employees in January, we'd take (460/1.15)=460*(100/115)=400

If 4 < A < 6, n and m are positive integers with n > m, and T = A x 10n, then what is the value of T? Statement #1: Square root of A x 10^m=23,100 Statement #2: n - m = 7 Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Answer: BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. https://gmat.magoosh.com/answers/161783182?review%5Bpractice_session_id%5D=19452649

What is the 25th digit to the right of the decimal point in the decimal form of 6/11? A. 3 B. 4 C. 5 D. 6 E. 7

Answer: C The fractions in its decimal form is 6/11=0.5454545 Every odd number is 5

If it is assumed that 60 percent of those who receives a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed? A. 400 B. 420 C. 480 D. 500 E. 600

Answer: D 300/.60=300*(100/60)=30,000/60=500

In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food and miscellaneous items are in the ratio 5:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food? A. $900 B. $720 C. $675 D. $450 E. $225

Answer: D First, lets make an equation out of the ratio. 5x+2x+1x=1800 8x=1800 x=225 Now plug 225 into the food expense portion to get the answer 2(225)=$450

What is the value of x? (1) x2 - 5x + 6 = x - 3 (2) 3x - (3 + y) = 2x - y Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Answer: Each statement ALONE is sufficient to answer the question. https://gmat.magoosh.com/answers/161787844?review%5Bpractice_session_id%5D=19452649

Consider the following sets: L = {3, 4, 5, 5, 6, 7} M = {2, 2, 2, 8, 8, 8} N = {15, 15, 15, 15, 15, 15} Rank those three sets from least standard deviation to greatest standard deviation. L, M, N M, L, N M, N, L N, L, M N, M, L

Answer: N, L, M https://gmat.magoosh.com/answers/167641556?review%5Bpractice_session_id%5D=20196478

In a single Epsilon trial, the probability of Outcome T is 1/4. Suppose a researcher conducts a series of n independent Epsilon trials. Let P = the probability that Outcome T occurs at least once in n trials. Is P > 1/2? Statement #1: n > 3 Statement #2: n < 6 Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Answer: Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.

What is the value of (1/x-1/y)? Statement #1: xy/(x-y)=2 Statement #2: x^2+y^2=5 Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Answer: Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.

What is the remainder when positive integer n is divided by 4? (1) When n is divided by 8, the remainder is 1. (2) When n is divided by 2, the remainder is 1.

Answer: Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. It's important to note the formula below a/b=c(d) then c*b+d=a Set the problem up as n/8=k(1) "That's n divided by 8 equals some integer k with remainder 1" https://gmat.magoosh.com/practices/19987247/q/873

k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the value of k ? (1) N is divisible by 9 (2) N is divisible by 5 Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Answer: Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Topic: Integer Properties Ways to Approach: Understand the divisibility rules; you can simply add the numbers up in N+k (in this case you'd have to test the numbers from 1-9) and determine whether it is divisible by 9 or 5

What is the value of x? Statement #1: (x2 + 3)2 - 11(x2 + 3) + 28 = 0 Statement #2: x2 + x - 2 = 0 Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Answer: Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

If x and y are different positive integers, what is the value of x? (1) x + y = 5 (2) xy = 6 Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Answer: Statement 1 and 2 TOGETHER are NOT sufficient to answer the question. https://gmat.magoosh.com/answers/161786430?review%5Bpractice_session_id%5D=19452649

What is the average (arithmetic mean) of a, b, c and d? (1) The average of a, b and c is 6 (2) The average of b, c and d is 6 Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Answer: Statement 1 and 2 TOGETHER are NOT sufficient to answer the question. https://gmat.magoosh.com/answers/161787297?review%5Bpractice_session_id%5D=19452649

f x and y are positive integers, is x/y<(x+5/y+5) Statement #1: y = 5 Statement #2: x > y Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Answer: Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.. Topic Algebraic Expressions

If x and y are positive integers, is x - y > x+y/2? 1) y < x (2) x < 2y Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Answer: Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.

In a certain daycare, are there more boys than girls? (1) The number of girls is less than 3 times the number of boys. (2) The number of boys is less than 3/4 the number of girls. Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Answer: Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. https://gmat.magoosh.com/answers/161779072?review%5Bpractice_session_id%5D=19452649

The coordinates on the quadrilateral A(-2,0) B (None) C (6,0) & D (0,-4) In the diagram above, coordinates are given for three of the vertices of quadrilateral ABCD. Does quadrilateral ABCD have an area greater than 30? Statement #1: point B has an x-coordinate of 4 Statement #2: quadrilateral ABCD is a parallelogram

Answer: Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. Topic: Geometry

If n is a positive integer, is 1/n-1/n+1<0.05 Statement #1: n is odd Statement #2: n is a positive multiple of 7 Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Answer: Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. https://gmat.magoosh.com/answers/161781651?review%5Bpractice_session_id%5D=19452649

For which of the following functions is f(-1/2)>f (2)? f(x)=3x^2 f(x)=3x f(x)=3+x^2 f(x)=3+1/x f(x)=3/x^2

Answer: f(x)=3/x^2 https://gmat.magoosh.com/answers/167641228?review%5Bpractice_session_id%5D=20196478

If the average (arithmetic mean) of a and b is j, and the average of c, d and e is k, what is the average of a,b,c,d,e,j?

Answer: k+j/2

For all positive numbers x, Δx is defined as the cube root of x, and ∇x is defined as the square root of x. If ∇(Δk) = m2 , then k = m^12/5 m^6 m^12 m^36 m^64

Answer: m^12 https://gmat.magoosh.com/answers/161777973?review%5Bpractice_session_id%5D=19452649

(3^-1-2^-1)^-1 -6 -5 -1/6 1/6 6

Answer=-6 It's important to know that a whole number raised to a negative power will be fraction (x/y)^-n=(y/x)^n

If x + 2 = x+11/x+3, then x2 + 4x - 5 = -11 -5 0 1 2

Answer=0 It's important to simply then FOIL https://gmat.magoosh.com/answers/161782390?review%5Bpractice_session_id%5D=19452649

If x ≠ -2, x ≠ 7 and (x-3)/(x+2)=(x+3)/(x-7) , then x = 1 2 3 4 5

Answer=1 If a/b = c/d, then ad = bc. (x - 3)/(x + 2) = (x + 3)/(x - 7) --> (x - 3)(x - 7) = (x + 2)(x + 3) FOIL: x² - 10x + 21 = x² + 5x + 6 Cancel out x²: -10x + 21 = 5x + 6 21 = 15x + 6 15 = 15x 1 = x Topic: Algebraic Expressions

If the sum of two numbers is 6, and the sum of their reciprocals is 15/8, what is the product of the two numbers? 5/24 5/16 16/5 25/4 45/4

Answer=16/5 Set up two different equations for both the reciprocal equation and sum equation

In the diagram above, what is the circumference of the circle? Statement #1: The area of triangle is 16 square root of 3 Statement #2: ∠B = 60

BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.

If P and Q are positive integers, and if P > 1, does P = Q? Statement #1: P is a factor of Q Statement #2: P is a multiple of Q Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. https://gmat.magoosh.com/answers/161783782?review%5Bpractice_session_id%5D=19452649

Is the slope of Line 1 positive? Statement #1: The angle between Line 1 and Line 2 is 40º. Statement #2: Line 2 has a slope of 1.

BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. https://gmat.magoosh.com/answers/165243517?review%5Bcorrect%5D%5B%5D=0

Is x > 2? (1) x is positive (2) x^2 > 9

BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. https://gmat.magoosh.com/answers/167633578?review%5Bpractice_session_id%5D=20196478

Madge paid A dollars for R bananas. Dean paid B dollars for S bananas. Which one of them paid a higher price-per-banana? Statement #1: B > A Statement #2: R > S

BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. https://gmat.magoosh.com/answers/167635663?review%5Bpractice_session_id%5D=20196478

If x and y are positive integers, is x/y<x+2/y+3 Statement #1: y > 20 Statement #2: x < 5

BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. https://gmat.magoosh.com/answers/167640428?review%5Bpractice_session_id%5D=20196478

If a child is randomly selected from Columbus elementary school, what is the probability that the child will be a boy? (1) If 25 boys are removed from the school, the probability of selecting a boy will be 0.75 (2) There are 35 more boys than there are girls Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. https://gmat.magoosh.com/answers/162631681?review%5Bpractice_session_id%5D=19559472

Working together, Machine A and Machine B can produce a total of 200 widgets in 4 hours. How many hours would it take Machine A, working alone, to produce 200 widgets? (1) Working alone, Machine B takes 5 hours to produce 50 widgets. (2) Machine A can produce 4 widgets in the same amount of time it takes Machine B to produce 1 widget.

Each statement ALONE is sufficient to answer the question. https://gmat.magoosh.com/answers/167636159?review%5Bpractice_session_id%5D=20196478

What is the value of x? (1) |6 - 3x| = x - 2 (2) |5x + 3| = 2x + 9 Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Its important to know that if |a|=b then a=b or -a=b https://gmat.magoosh.com/answers/162632855?review%5Bpractice_session_id%5D=19559472

At ABC Hardware the total cost of 1 paintbrush and 2 rolls of tape is $6.25. What is the price of one roll of tape? (1) The price of one paintbrush is three times the price of one roll of tape. (2) The total cost of 6 rolls of tape and 3 paintbrushes is $18.75.

Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. NOTE: Statement 2 is essentially the same as the equation 1p+2t=6.25 (if you multiply this by 3 you'll get the equation below) 3p+6t=18.75 https://gmat.magoosh.com/answers/165246387?review%5Bcorrect%5D%5B%5D=0 Topic: Algebra

If x is an integer, is y an integer? 1) 4x+4y/2=6 2) 3x+3y/3=5 Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. https://gmat.magoosh.com/answers/161784384?review%5Bpractice_session_id%5D=19452649

x^n + x^n + x^n = x^n+1 What is the value of n? Statement 1: x^n=9√3 Statement 2: x=3

Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. https://gmat.magoosh.com/answers/167632226?review%5Bpractice_session_id%5D=20196478

What is the ratio of x to y? (1) The ratio of 0.2x to 3y is 1 to 6. (2) y is 40 less than twice x.

Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. https://gmat.magoosh.com/answers/167636903?review%5Bpractice_session_id%5D=20196478

Is x > y? (1) x - y > 3 (2) x + y > 3

Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. https://gmat.magoosh.com/answers/167642165?review%5Bpractice_session_id%5D=20196478

At a certain high school, there are three sports: baseball, basketball, and football. Some athletes at this school play two of these three, but no athlete plays in all three. At this school, the ratio of (all baseball players) to (all basketball players) to (all football players) is 15:12:8. How many athletes at this school play baseball? Statement #1: 40 athletes play both baseball and football, and 75 play football only and no other sport Statement #2: 60 athletes play only baseball and no other sport Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Statement 1 and 2 TOGETHER are NOT sufficient to answer the question https://gmat.magoosh.com/answers/162631953?review%5Bpractice_session_id%5D=19559472

Is a>b? 1. a<b^4 2. a and b are both negative integers

Statement 1 and 2 TOGETHER are NOT sufficient to answer the question. Well, we know off the back that Statement 2 isn't sufficient so that eliminates 2 answer choices Statement 1 is ambiguous because anything raise to ^4 will give you a positive number. So a=-1 and b=7 or b=-5 and a=3 will satisfy that inequality. We can't determine where a>b. Both statements together won't solve this either. When we pick test values both statements are satisfied BUT it still won't tell us if a>b! a=-2 and b=-2 (satisfies both, both are equal) a=-2 and b=1 (satisfies both, b is greater than a) Both are ambiguous.

If x and y are positive, what is the value of y? (1) xy is the square of an integer. (2) 600 percent of x equals 200 percent of y.

Statement 1 and 2 TOGETHER are NOT sufficient to answer the question. https://gmat.magoosh.com/answers/167632983?review%5Bpractice_session_id%5D=20196478

Given that (P + 2Q) is a positive number, what is the value of (P + 2Q)? Statement #1: Q = 2 Statement #2: P^2 + 4PQ + 4Q^2 = 28 Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.

If x^2 + 2xwy + 3wy2 = 144, and if x & y & w are all positive, then what is the value of (x + 3y)? Statement #1: x + 2y = 11 Statement #2: w = 3 Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient. Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient. Each statement ALONE is sufficient to answer the question. Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.

Is p > q? Statement #1: p^2 > q^2 Statement #2: p^3 > q^3

Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient. https://gmat.magoosh.com/answers/167641069?review%5Bpractice_session_id%5D=20196478

A sequence is defined by an = (an - 2)2 - (an - 1) for terms n > 2, and a1 = 2 and a2 = 1. What is the value of a7? - 64 - 7 38 88 128

n = (an - 2)2 - (an - 1) for n > 2 Each term, after the first two, is determined by the two terms before it. We need the first two to figure out the third, the second & the third to figure out the fourth, and so forth. a1 = 2 a2 = 1 a3 = (a1)2 - (a2) = 4 - 1 = 3 a4 = (a2)2 - (a3) = 1 - 3 = -2 a5 = (a3)2 - (a4) = 9 - (-2) = 11 a6 = (a4)2 - (a5) = 4 - 11 = -7 a7 = (a5)2 - (a6) = 121 - (-7) = 128 Answer = (E) Topic: Recursive Sequences

If 9^2x+5 = 27^3x-10, then x = 3 6 8 12 15

Answer=8 It's important to make the 27 and 9 have equal bases. This is the first step in solving an exponent problem

The average (arithmetic mean) of four numbers is 4a + 16. When a fifth number is added, the average becomes 5a + 20. The fifth number is a - 4 a + 4 4a + 4 4a + 16 9a + 36

Answer=9a+36 It's important to note that if "m" is equal to the mean then the sum of the numbers "n" is equal to mn. Topic: Statistics

f ak - b = c - dk, then k =

-First isolate the k's and other variables to one side (ak+dk=c+b) -Factor out the "k" k(a+d)=c+b -Divide both sides by (a+d) to get k (a+b)/(c+b) Topic= Algebraic Expressions

If x^4 = y^16, then y = ​4√x x√x x^2 x^4 x^12

​Answer: 4√x https://gmat.magoosh.com/answers/161788083?review%5Bpractice_session_id%5D=19452649