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

Determine the contraposition of the statement above.

A.

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

B.

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

C.

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

D.

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

Please select the best answer from the choices provided

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Verified Answer :

Ade1433 Ade1433 · Answer 1 · 2017-01-23T09:44:24-05:00

i think that it is C as if you think about if it is not divisible by 6 then it's not divisible by 3

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ColinJacobus ColinJacobus · Answer 2 · 2019-10-22T10:01:36-04:00

Answer: The correct option is

(C) If a number is not divisible by 3, then it is not divisible by 6.

Step-by-step explanation: We are given to determine the contrapositive of the following statement :

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

We know that

the contrapositive of a conditional statement "if p, then q" is given by

"if not q, then not p".

Therefore, the contrapositive of the given conditional statement is given by

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

Thus, (C) is the correct option.