GRE - Graduate Record Examinations Arithmetic and Number Properties Questions and Answers

Question 1

When the positive integer 'n' is divided by 8, the remainder is 5. What is the remainder when 5n is divided by 8?

Accepted Answer

1

Answer

0

Answer

3

Answer

5

Question 2

If 'a' is an odd integer and 'b' is an even integer, which of the following expressions must be an even integer?

Accepted Answer

a + b + 1

Answer

ab + 1

Answer

a - b

Answer

3a + b

Question 3

What is the units digit of 13^123?

Accepted Answer

7

Answer

1

Answer

9

Answer

3

Question 4

The sum of 7 consecutive odd integers is 119. What is the value of the greatest of these integers?

Accepted Answer

23

Answer

17

Answer

19

Answer

21

Question 5

The number N is equal to 2^4 * 3^2 * 7^1. How many distinct positive factors does N have?

Accepted Answer

30

Answer

7

Answer

14

Answer

24

Question 6

The product of two positive integers, x and y, is 240. If the ratio of x to y is 3 to 5, what is the value of x + y?

Accepted Answer

32

Answer

12

Answer

20

Answer

40