GMAT Quantitative Reasoning Practice Questions - Quantitative Reasoning

Question 1

If f(x) = x^2 - 4x + 4, what is the minimum value of f(x)?

Accepted Answer

a) 0

Answer

b) 1

Answer

c) 2

Answer

d) 4

Question 2

A train travels 300 miles in 5 hours. If it reduces its speed by 20%, how long will it take to travel the same distance?

Accepted Answer

b) 6.25 hours

Answer

a) 6 hours

Answer

c) 6.5 hours

Answer

d) 7 hours

Question 3

If x and y are integers such that x^2 + y^2 = 100, what is the maximum possible value of x + y?

Accepted Answer

a) 14

Answer

b) 15

Answer

c) 16

Answer

d) 17

Question 4

A rectangle's length is increased by 20% and its width is decreased by 20%. What is the percentage change in its area?

Accepted Answer

a) 4% decrease

Answer

b) 4% increase

Answer

c) No change

Answer

d) 16% decrease

Question 5

If 3^x = 27^(y + 2), what is the value of x in terms of y?

Accepted Answer

a) 3y + 6

Answer

b) 3y + 2

Answer

c) y + 6

Answer

d) y + 2

Question 6

A sequence is defined by a_n = 2a_{n-1} + 3. If a_1 = 1, what is the value of a_4?

Accepted Answer

c) 21

Answer

a) 17

Answer

b) 19

Answer

d) 23

Question 7

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

Accepted Answer

a) 25π

Answer

b) 50π

Answer

c) 75π

Answer

d) 100π

Question 8

A bag contains 5 red balls and 7 blue balls. If two balls are drawn at random without replacement, what is the probability that both are red?

Accepted Answer

a) 5/33

Answer

b) 10/33

Answer

c) 5/12

Answer

d) 7/12

Question 9

What is the remainder when 7^100 is divided by 5?

Accepted Answer

b) 1

Answer

a) 0

Answer

c) 2

Answer

d) 3

Question 10

If the sum of the first n positive integers is 55, what is the value of n?

Accepted Answer

b) 10

Answer

a) 9

Answer

c) 11

Answer

d) 12