GMAT review questions and accurate
answers with solutions 2024
"Alexandra needs to mix cleaning solution in the following ratio: 1 part bleach for every 4 parts water.
When mixing the solution, Alexandra makes a mistake and mixes in half as much bleach as she ought to
have. The total solution consists of 27 mL. How much bleach did Alexandra put into the solution? " -
ANSWER 3 ml
"What is the cube root of w ?
(1) The 5th root of w is 64.
(2) The 15th root of w is 4." - ANSWER D
x^y=y^x, where x is prime and y is even - ANSWER If Y is even, Y^x must be even as well. It must be true
then that x^y is also even. If x^y is even, X itself must be even. Since x is both even and prime, it must be
true that x=2 since 2 is the only even prime
"Eco Wildlife Preserve contains 5x zebras and 2x lions, where x is positive. If the lions kill z zebras, is the
new ratio of zebras to lions less than 2 to 1?
(1) z>x
(2)z=4" - ANSWER "(5x-z)/2x < 2/1
5x-z<4x
is z>x?"
range of f(x)= (x+sq(3))^4 - ANSWER Range of function can never be negative. Raising anything to an
even power will result in a non-negative value
if y is an integer, then the least possible value of |23-5y| - ANSWER 2
,From the consecutive integers -10 to 10 inclusive, 20 integers are randomly chosen with repetitions
allowed. What is the least possible value of the product of the 20 integers? - ANSWER -(10)^20
"If m and n are positive integers, is (√m)^n an integer?
(1) (√m) is an integer.
(2) (√n) is an integer." - ANSWER A
On the planet Flarp, 3 floops equal 5 fleeps, 4 fleeps equal 7 flaaps, and 2 flaaps equal 3 fliips. How many
floops are equal to 35 fliips? - ANSWER 35 fliips x 2 flaaps/3 fliips x 4 fleeps/7 flaaps x 3 floops/5 fleeps =
8 floops
A certain fruit stand sold apples for $0.70 each and bananas for $0.50 each. If a customer purchased
both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas
did the customer purchase? - ANSWER 0.7a+0.5b=6.30.7a+0.5b=6.3 --> 7a+5b=637a+5b=63. After some
trial and error you'll get that only two integer pairs of (a,b) satisfy this equation: (9,0) and (4,7) as we are
told that "a customer purchased both apples and bananas" then the first pair is out and we'll have:
a=4a=4 and b=7b=7 --> a+b=11a+b=11.
" order to complete a reading assignment on time, Terry planned to read 90 pages per day. However, she
read only 75 pages per day at first, leaving 690 pages to be read during the last 6 days before the
assignment was to be completed. How many days in all did Terry have to complete the assignment on
time?
(A) 15
(B) 16
(C) 25
(D) 40
(E) 46" - ANSWER B
"s= {1,2,5,7,X}
If x is a positive integer, is the mean of set S greater than 4?
,(1) the median of set s is greater than 2
(2) the median of set s is equal to the mean of set S" - ANSWER B
If the sum of the last 3 integers in a set of 7 consecutive integers is 258, what is the sum of the first 4
integers? - ANSWER 330
Idiom NOT by x BUT by y - ANSWER "Think of it this way for structure - the word ""NOT"" is where the
two paths diverge, and each path needs to be directly connected to the ""shared"" entry. So...
The goal was scored not by Drogba, but by Donovan.
Is correct, because ""the goal was scored ... (stop at ""NOT"" and start after ""BUT"") by Donovan"" is a
complete statement. "
"Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x
hours. Working alone at its constant rate, Machine A produces 800 nails in y hours. In terms of x and y,
how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails?
(A) x/(x+y)
(B) y/(x+y)
(C) xy/(x+y)
(D) xy/(x-y)
(E) xy/(y-x)" - ANSWER "Say x=1 hour and y=2 hours (notice that y must be greater than x, since the time
for machine A to do the job, which is y hours, must be more than the time for machines A and B working
together to do the same job, which is x hours).
In this case, the time needed for machine B to do the job must also be 2 hours: 1/2+1/2=1.
Now, plug x=1 and y=2 in the options to see which one yields 2. Only option E fits.
, Answer: E. "
"A certain high school has 5,000 students. Of these students, x are taking music, y are taking art, and z
are taking both music and art. How many students are taking neither music nor art?
(A) 5,000 - z
(B) 5,000 - x - y
(C) 5,000 - x + z
(D) 5,000 - x - y - z
(E) 5,000 - x - y + z" - ANSWER "Easier formula to remember is Group1+ Group2- Both +Neither = Total
(Source: Kaplan)
So, solution is x + y - z + Neither = 5000
Neither = 5000 - x - y + z ..Choice E!"
If xy not equal 0 and x^2*y^2 -xy = 6, which of the following could be y in terms of x?
I. 1/2x
II. -2/x
III. 3/x
A. I only
B. II only
C. I and II
D. I and III
E. II and III - ANSWER Answer= E
"According to a certain estimate, the depth N(t), in centimeters, of the water in a certain tank at t hours
past 2:00 in the morning is given by N(t)= -20(t - 5)^2 + 500 for 0 ≤ t ≤ 10. According to this estimate, at
what time in the morning does the depth of the water in the tank reach its maximum?
answers with solutions 2024
"Alexandra needs to mix cleaning solution in the following ratio: 1 part bleach for every 4 parts water.
When mixing the solution, Alexandra makes a mistake and mixes in half as much bleach as she ought to
have. The total solution consists of 27 mL. How much bleach did Alexandra put into the solution? " -
ANSWER 3 ml
"What is the cube root of w ?
(1) The 5th root of w is 64.
(2) The 15th root of w is 4." - ANSWER D
x^y=y^x, where x is prime and y is even - ANSWER If Y is even, Y^x must be even as well. It must be true
then that x^y is also even. If x^y is even, X itself must be even. Since x is both even and prime, it must be
true that x=2 since 2 is the only even prime
"Eco Wildlife Preserve contains 5x zebras and 2x lions, where x is positive. If the lions kill z zebras, is the
new ratio of zebras to lions less than 2 to 1?
(1) z>x
(2)z=4" - ANSWER "(5x-z)/2x < 2/1
5x-z<4x
is z>x?"
range of f(x)= (x+sq(3))^4 - ANSWER Range of function can never be negative. Raising anything to an
even power will result in a non-negative value
if y is an integer, then the least possible value of |23-5y| - ANSWER 2
,From the consecutive integers -10 to 10 inclusive, 20 integers are randomly chosen with repetitions
allowed. What is the least possible value of the product of the 20 integers? - ANSWER -(10)^20
"If m and n are positive integers, is (√m)^n an integer?
(1) (√m) is an integer.
(2) (√n) is an integer." - ANSWER A
On the planet Flarp, 3 floops equal 5 fleeps, 4 fleeps equal 7 flaaps, and 2 flaaps equal 3 fliips. How many
floops are equal to 35 fliips? - ANSWER 35 fliips x 2 flaaps/3 fliips x 4 fleeps/7 flaaps x 3 floops/5 fleeps =
8 floops
A certain fruit stand sold apples for $0.70 each and bananas for $0.50 each. If a customer purchased
both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas
did the customer purchase? - ANSWER 0.7a+0.5b=6.30.7a+0.5b=6.3 --> 7a+5b=637a+5b=63. After some
trial and error you'll get that only two integer pairs of (a,b) satisfy this equation: (9,0) and (4,7) as we are
told that "a customer purchased both apples and bananas" then the first pair is out and we'll have:
a=4a=4 and b=7b=7 --> a+b=11a+b=11.
" order to complete a reading assignment on time, Terry planned to read 90 pages per day. However, she
read only 75 pages per day at first, leaving 690 pages to be read during the last 6 days before the
assignment was to be completed. How many days in all did Terry have to complete the assignment on
time?
(A) 15
(B) 16
(C) 25
(D) 40
(E) 46" - ANSWER B
"s= {1,2,5,7,X}
If x is a positive integer, is the mean of set S greater than 4?
,(1) the median of set s is greater than 2
(2) the median of set s is equal to the mean of set S" - ANSWER B
If the sum of the last 3 integers in a set of 7 consecutive integers is 258, what is the sum of the first 4
integers? - ANSWER 330
Idiom NOT by x BUT by y - ANSWER "Think of it this way for structure - the word ""NOT"" is where the
two paths diverge, and each path needs to be directly connected to the ""shared"" entry. So...
The goal was scored not by Drogba, but by Donovan.
Is correct, because ""the goal was scored ... (stop at ""NOT"" and start after ""BUT"") by Donovan"" is a
complete statement. "
"Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x
hours. Working alone at its constant rate, Machine A produces 800 nails in y hours. In terms of x and y,
how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails?
(A) x/(x+y)
(B) y/(x+y)
(C) xy/(x+y)
(D) xy/(x-y)
(E) xy/(y-x)" - ANSWER "Say x=1 hour and y=2 hours (notice that y must be greater than x, since the time
for machine A to do the job, which is y hours, must be more than the time for machines A and B working
together to do the same job, which is x hours).
In this case, the time needed for machine B to do the job must also be 2 hours: 1/2+1/2=1.
Now, plug x=1 and y=2 in the options to see which one yields 2. Only option E fits.
, Answer: E. "
"A certain high school has 5,000 students. Of these students, x are taking music, y are taking art, and z
are taking both music and art. How many students are taking neither music nor art?
(A) 5,000 - z
(B) 5,000 - x - y
(C) 5,000 - x + z
(D) 5,000 - x - y - z
(E) 5,000 - x - y + z" - ANSWER "Easier formula to remember is Group1+ Group2- Both +Neither = Total
(Source: Kaplan)
So, solution is x + y - z + Neither = 5000
Neither = 5000 - x - y + z ..Choice E!"
If xy not equal 0 and x^2*y^2 -xy = 6, which of the following could be y in terms of x?
I. 1/2x
II. -2/x
III. 3/x
A. I only
B. II only
C. I and II
D. I and III
E. II and III - ANSWER Answer= E
"According to a certain estimate, the depth N(t), in centimeters, of the water in a certain tank at t hours
past 2:00 in the morning is given by N(t)= -20(t - 5)^2 + 500 for 0 ≤ t ≤ 10. According to this estimate, at
what time in the morning does the depth of the water in the tank reach its maximum?
