GRE Arithmetic and Number Properties 3

Question 1

What is the value of (-3)^4 - (-2)^3?

Accepted Answer

89

Answer

(-3)^4 = 81 and (-2)^3 = -8, so 81 - (-8) = 89.

Question 2

If x and y are positive integers and xy = 36, what is the greatest possible value of x + y?

Accepted Answer

37

Answer

The sum is largest when the factors are most spread apart: 1·36 gives 1 + 36 = 37.

Question 3

What is 0.25 expressed as a fraction in lowest terms?

Accepted Answer

1/4

Answer

0.25 = 25/100 = 1/4.

Question 4

If 3^x = 81, what is the value of x?

Accepted Answer

4

Answer

81 = 3^4, so x = 4.

Question 5

Which of the following numbers is divisible by 9?

Accepted Answer

234

Answer

The digits of 234 sum to 9, which is divisible by 9.

GRE Practice Test