Question

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

If a number is divisible by five, then it is divisible by ten.

20

25

30

100

Answer 1

25 is a counter examples since it's divisible by 5 but not by 10

Answer 2

Answer: 25

Explanation:

The given word phrase : "If a number is divisible by five, then it is divisible by ten. "

From the given options , 20 , 30 and 100 are the numbers which satisfy the above phrase .

i.e..all of them are divisible by 5 and 10 both because the last digit is 0 (Divisibility rule for 10 says a number if divisible by 10 if its last digit is 0.).

But 25 is the number which is divisible by 5 but not 10 because its last digit is not 0.

Therefore , a counterexample that proves the conditional statement false =25