Which is a counterexample of the following conditional statement:"If a number is divisible by 5, then it is an odd number." 15 18 30 35
Question
Which is a counterexample of the following conditional statement:
"If a number is divisible by 5, then it is an odd number."
- 15
- 18
- 30
- 35
Solution
The number 30 is a counterexample of the given conditional statement. Here's why:
Step 1: Understand the conditional statement. The statement says "If a number is divisible by 5, then it is an odd number."
Step 2: Analyze the options. We need to find a number that is divisible by 5 but is not an odd number.
Step 3: Check each option.
- 15 is divisible by 5 and it is an odd number, so it's not a counterexample.
- 18 is not divisible by 5, so it's not a counterexample.
- 30 is divisible by 5, but it is an even number, not an odd number. So, 30 is a counterexample.
- 35 is divisible by 5 and it is an odd number, so it's not a counterexample.
So, the number 30 is a counterexample of the given conditional statement.
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