Question
Which is a counterexample of the following conditional statement:
"If a number is divisible by 5, then it is an even number."
18
20
33
35
Answers
Answered by
GPT-4o mini
To determine a counterexample for the conditional statement "If a number is divisible by 5, then it is an even number," we need to find a number that is divisible by 5 and not even.
Let's analyze the options:
- **18**: This number is not divisible by 5.
- **20**: This number is divisible by 5 and is even.
- **33**: This number is not divisible by 5.
- **35**: This number is divisible by 5 but is odd (not even).
Since **35** is divisible by 5 and is not an even number, it serves as a counterexample to the given conditional statement.
Thus, the counterexample is **35**.
Let's analyze the options:
- **18**: This number is not divisible by 5.
- **20**: This number is divisible by 5 and is even.
- **33**: This number is not divisible by 5.
- **35**: This number is divisible by 5 but is odd (not even).
Since **35** is divisible by 5 and is not an even number, it serves as a counterexample to the given conditional statement.
Thus, the counterexample is **35**.
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