FREE Rise Placement Test Number Theory Questions and Answers

Question 1

Which of the following numbers is a prime number?

Accepted Answer

53

Answer

51

Answer

55

Answer

57

Question 2

What is the least common multiple (LCM) of 12 and 18?

Accepted Answer

36

Answer

6

Answer

72

Answer

108

Question 3

If a number is divisible by both 3 and 5, which of the following must also be true about the number?

Accepted Answer

It must be divisible by 15.

Answer

It must be an odd number.

Answer

It must be divisible by 8.

Answer

It must be a prime number.

Question 4

A baker has 72 cookies and wants to arrange them into equal groups with no cookies left over. Which of the following is NOT a possible number of cookies in each group?

Accepted Answer

10

Answer

8

Answer

9

Answer

12

Question 5

What is the greatest common divisor (GCD) of 42 and 60?

Accepted Answer

6

Answer

2

Answer

3

Answer

12

Question 6

Which of the following statements about integers is always true?

Accepted Answer

The product of any two integers is always an integer.

Answer

All integers are positive.

Answer

Every integer has exactly two divisors.

Answer

The sum of two odd integers is always an odd integer.