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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
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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.

This problem has been solved

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