Question

What is the conclusion of the following statement?

A number is even if the number is divisible by 6.
A.

A number is even if the number is divisible by 6.

B.

A number is divisible by 6 if the number is even.

C.

A number is divisible by 6.

D.

The number is even.

Answer 1

The statement "A number is even if the number is divisible by 6" is true, but the other's are not necessarily true.

Answer 2

We know this since if a number is divisible by 6, it is divisible \(2*3\) so it's divisible by 2.

Answer 3

However, if a number is even, then it is divisible by two, but necessarily 3, and it needs to be divisible by both 2 and 3 to be divisible by 6. Take 10 as an example. It is clearly divisible by 2, but not 6.