Question

question 2 (multiple choice worth 1 points)
(01.05r mc)

which is a counterexample of the following conditional?

\if a number is divisible by five, then it is even.\

• 30
• 25
• 20
• 18

Explanation:

Analyze the conditional statement

The conditional statement is: "If a number is divisible by five, then it is even."

• Hypothesis \(P\): A number is divisible by five.
• Conclusion \(Q\): The number is even.

Define a counterexample

A counterexample must satisfy the hypothesis \(P\) but violate the conclusion \(Q\).

• The number must be divisible by five.
• The number must not be even (it must be odd).

Evaluate the given options

• 30: Divisible by five, but it is even. (Not a counterexample)
• 25: Divisible by five, and it is odd (not even). (Valid counterexample)
• 20: Divisible by five, but it is even. (Not a counterexample)
• 18: Not divisible by five. (Does not satisfy the hypothesis)

Answer:

• 30
• 25 (Correct answer)
• 20
• 18