Name:    Quiz 1.3 Divisibility Rules

True/False
Indicate whether the statement is true or false.

1.

Given that the integers and are both divisible by 2.  is also divisible by 2

2.

Given that the integers and are both divisible by 2.  Then is divisible by 2

3.

Given that the integers and are both divisible by 2.  Then is divisible by 4

4.

Given that the integers and are both divisible by 2.  Then is divisible by 4

5.

Given that the integers and are both divisible by 2.  Then is divisible by 4

Multiple Choice
Identify the choice that best completes the statement or answers the question.

6.

How many of the following numbers are divisible by 3?
i) 115      ii) 285      iii) 498   iv) 9381
 a. Two c. Four b. Three d. None of them

7.

How many of the following numbers are divisible by 11?
i) 4013      ii) 4301      iii) 30932   iv) 7392
 a. Two c. Four b. Three d. None of them

8.

Given that the number “4A3” is divisible by 3, what are the value(s) of “A”?
i) A = 2    ii) A = 3   iii) A = 5  iv) A = 8
 a. i) only c. i) , ii) and iii) b. i) and iv) d. i) , iii) and iv)

9.

Given that the number “3981A” is divisible by 3, what are the value(s) of “A”?
i) A = 0    ii) A = 3   iii) A = 6  iv) A = 9
 a. i) only c. i) , ii) and iii) b. i) and iv) d. All of them

10.

Given that the number “392AA” is divisible by 3, what are the value(s) of “A”?
i) A = 0.5    ii) A = 2   iii) A = 5  iv) A = 8
 a. ii) only c. ii) , iii) and iv) b. ii) and iii) d. All of them

11.

What digit can replace so that the number is divisible by 6?
i) k = 1                      iii) k = 4
ii) k = 3                     iv) k = 7
 a. i) only c. i) iii) and iv) b. ii) only d. All of them

12.

How many positive integers less than 124 are divisible by 2 and 3 but not 5?
 a. 20 c. 17 b. 24 d. 16

13.

What is the least positive integer divisible by 2, 3, 4, 5, and 6?
 a. 30 c. 60 b. 24 d. 90

14.

How many numbers between 200 and 2000 are divisible by 6 or 7 but not both?
 a. 421 c. 555 b. 469 d. 598

Multiple Response
Identify one or more choices that best complete the statement or answer the question.

15.

The integers,, and are three consecutive integers.  Their sum is always divisible by at least 2 integers.  What are those two numbers?  Select the two numbers
 a. 2 e. The first number b. 3 f. The middle number c. 4 g. The last number d. 5 h. 9