The contrapositive of the statement “If a number is divisible by 6, then it is divisible by both 2 and 3” is:

If a number is not divisible by 3, then it is not divisible by 6

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If a number is not divisible by 2, then it is not divisible by 6.

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If a number is not divisible by 2 and 3, then it is not divisible by 6.

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If a number is divisible by 2 and 3, then it is divisible by 6.

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Solution

The correct option is C
If a number is not divisible by 2 and 3, then it is not divisible by 6.

The contra positive of the statement “If a number is divisible by 6, then it is divisible by both 2 and 3” is “If a number is not divisible by 2 and 3, then it is not divisible by 6”.

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