Question

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

Answer 1

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

Answer 2

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.