GMAT 2025 Quantitative Reasoning: Advanced Problem Solving Practice Questions - Quantitative Reasoning

Question 1

A rectangular garden has a length that is 3 times its width. If the perimeter of the garden is 160 meters, what is the area of the garden?

Accepted Answer

b) 1,200 m²

Answer

a) 900 m²

Answer

c) 1,500 m²

Answer

d) 1,800 m²

Question 2

The ratio of the ages of two siblings is 3:5. If the sum of their ages is 40, how old is the younger sibling?

Accepted Answer

b) 15

Answer

a) 12

Answer

c) 18

Answer

d) 20

Question 3

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

Question 4

If the product of two consecutive integers is 210, what is the smaller integer?

Accepted Answer

a) 14

Answer

b) 15

Answer

c) 16

Answer

d) 17

Question 5

A company's revenue increased by 25% in the first quarter and then decreased by 15% in the second quarter. If the final revenue was $1,275,000, what was the initial revenue?

Accepted Answer

a) $1,200,000

Answer

b) $1,250,000

Answer

c) $1,300,000

Answer

d) $1,350,000

Question 6

If the sum of the first 10 terms of an arithmetic sequence is 220 and the first term is 10, what is the common difference?

Accepted Answer

c) 4

Answer

a) 2

Answer

b) 3

Answer

d) 5

Question 7

A bag contains 5 red balls, 4 blue balls, and 3 green balls. If two balls are drawn at random without replacement, what is the probability that both balls are red?

Accepted Answer

a) 5/33

Answer

b) 10/33

Answer

c) 5/22

Answer

d) 10/22

Question 8

A train travels 300 km at a constant speed. If the speed were increased by 10 km/h, the journey would take 1 hour less. What is the original speed of the train?

Accepted Answer

a) 50 km/h

Answer

b) 60 km/h

Answer

c) 70 km/h

Answer

d) 80 km/h

Question 9

If 3^x = 27 and 2^y = 32, what is the value of x + y?

Accepted Answer

d) 8

Answer

a) 5

Answer

b) 6

Answer

c) 7

Question 10

A car travels 240 km in 3 hours. If the speed is increased by 20 km/h, how long will it take to travel the same distance?

Accepted Answer

b) 2.5 hours

Answer

a) 2 hours

Answer

c) 3 hours

Answer

d) 3.5 hours