Question 7(Multiple Choice Worth 1 points)

Question

(01.05 MC)

Which is a counterexample of the following conditional?

"If a number is divisible by seven, then it is odd."

28
21
7
1

Answer 1

To find a counterexample for the conditional statement "If a number is divisible by seven, then it is odd," we need to look for a number that is divisible by seven but is not odd (i.e., it is even).

Let's analyze the options:

• 28: This number is divisible by 7 (28 ÷ 7 = 4), and it is even.
• 21: This number is divisible by 7 (21 ÷ 7 = 3), and it is odd.
• 7: This number is divisible by 7 (7 ÷ 7 = 1), and it is odd.
• 1: This number is not divisible by 7, so it doesn't apply.

Since 28 is the only number that is both divisible by 7 and not odd (it is even), it serves as a counterexample.

Thus, the answer is 28.