GMAT 2025 Quantitative Reasoning Exam Prep Practice Questions - Quantitative Reasoning

Question 1

If ( 5^x = 125 ) and ( 2^y = 32 ), what is the value of ( x 	imes y )?

Accepted Answer

d) 15

Answer

a) 6

Answer

b) 9

Answer

c) 12

Question 2

A triangle has sides of lengths 6, 8, and 10 units. What is the area of the triangle?

Accepted Answer

b) 24

Answer

a) 12

Answer

c) 30

Answer

d) 48

Question 3

A sequence is defined by the rule ( a_n = 3a_{n-1} - 2a_{n-2} ) for ( n geq 2 ). If ( a_0 = 1 ) and ( a_1 = 2 ), what is ( a_4 )?

Accepted Answer

b) 14

Answer

a) 10

Answer

c) 18

Answer

d) 22

Question 4

If ( x ) and ( y ) are integers such that ( x^2 + y^2 = 25 ), what is the maximum possible value of ( x + y )?

Accepted Answer

b) 7

Answer

a) 5

Answer

c) 9

Answer

d) 11

Question 5

A right circular cylinder has a volume of ( 100pi ) cubic units. If the height is 5 units, what is the radius of the base?

Accepted Answer

a) 2

Answer

b) 4

Answer

c) 5

Answer

d) 10

Question 6

If ( log_{10}(x) + log_{10}(y) = 3 ) and ( log_{10}(x) - log_{10}(y) = 1 ), what is the value of ( x )?

Accepted Answer

d) 1000

Answer

a) 100

Answer

b) 200

Answer

c) 500

Question 7

A train travels 300 miles in 5 hours. If it travels at a constant speed, how many miles will it travel in 8 hours?

Accepted Answer

b) 480

Answer

a) 400

Answer

c) 520

Answer

d) 600

Question 8

If ( 2^x = 32 ) and ( 3^y = 81 ), what is the value of ( x + y )?

Accepted Answer

b) 9

Answer

a) 7

Answer

c) 11

Answer

d) 13

Question 9

A rectangle has a length that is twice its width. If the perimeter is 60 units, what is the area of the rectangle?

Accepted Answer

c) 200

Answer

a) 100

Answer

b) 150

Answer

d) 250

Question 10

If ( f(x) = 2x^2 - 3x + 1 ), what is the value of ( f(3) )?

Accepted Answer

a) 10

Answer

b) 12

Answer

c) 14

Answer

d) 16