Question

Which of the following is a counterexample that proves the conditional statement false?

If a number is divisible by four, then it is divisible by eight.

A. 12
B. 16
C. 24
D. 48

Answer 1

the answer would be “A. 12” because 12 is NOT divisible by 8

Answer 2

12

Explanation:

If a number is divisible by 4, it means that the result of the number when divided by 4 given a whole number be it even or odd. However, a number that is divisible by 4 can only be divisible by 8 if the result of the outcoe of the division of the number by 4 is even.

From the options given,

12/4 = 3

16/4 = 4

24 /4 = 6

48/4 = 12

Only 12 gives an odd number when divided by 4 hence it is not divisble by 8