GMAT 2025 Quantitative Reasoning: Challenging and Competitive Practice Questions - Quantitative Reasoning

Question 1

A cylindrical tank with a radius of 5 meters is being filled at a rate of 10 cubic meters per minute. If the height of the water increases at a rate of 0.2 meters per minute, what is the height of the tank?

Accepted Answer

b) 15 meters

Answer

a) 12.5 meters

Answer

c) 20 meters

Answer

d) 25 meters

Question 2

If the sum of the first 10 terms of an arithmetic sequence is 200 and the common difference is 4, what is the first term of the sequence?

Accepted Answer

a) 8

Answer

b) 10

Answer

c) 12

Answer

d) 14

Question 3

A company’s revenue increased by 20% in the first quarter and then decreased by 15% in the second quarter. If the final revenue was $1,020,000, what was the initial revenue?

Accepted Answer

a) $1,000,000

Answer

b) $1,050,000

Answer

c) $1,100,000

Answer

d) $1,150,000

Question 4

A right triangle has legs of lengths 12 and 16. What is the length of the altitude drawn to the hypotenuse?

Accepted Answer

a) 9.6

Answer

b) 10.2

Answer

c) 11.4

Answer

d) 12.8

Question 5

If 3^x = 27^(y+1) and 2^(2x) = 16^(y), what is the value of x + y?

Accepted Answer

c) 7

Answer

a) 5

Answer

b) 6

Answer

d) 8

Question 6

A train travels 300 miles in 5 hours. If it travels at a constant speed, how many miles will it travel in 7 hours?

Accepted Answer

a) 420

Answer

b) 450

Answer

c) 480

Answer

d) 500

Question 7

The probability of event A occurring is 0.6, and the probability of event B occurring is 0.4. If events A and B are independent, what is the probability that both events occur?

Accepted Answer

a) 0.24

Answer

b) 0.30

Answer

c) 0.36

Answer

d) 0.40

Question 8

A rectangle has a perimeter of 40 meters and a length that is 4 meters more than its width. What is the area of the rectangle?

Accepted Answer

b) 96 m²

Answer

a) 84 m²

Answer

c) 108 m²

Answer

d) 120 m²

Question 9

If the average of five numbers is 20 and one of the numbers is removed, the average becomes 18. What is the removed number?

Accepted Answer

d) 28

Answer

a) 22

Answer

b) 24

Answer

c) 26

Question 10

A circle is inscribed in a square with a side length of 10 cm. What is the area of the circle?

Accepted Answer

a) 25π cm²

Answer

b) 50π cm²

Answer

c) 75π cm²

Answer

d) 100π cm²