Question

A number is divisible by 4 and 12. Then, it should definitely be divisible by 48.

• A. True.
• B. False.

Answer 1

The correct option is B

False.

$48=4\times 12$

4 and 12 are not co-prime

Therefore, it is not necessary that the number will be divisible by 48.

Let us consider the number 72 for an example

$72÷4=18$, so 72 is divisible by 4.

$72÷12=6$, so 72 is divisible by 12.

But 72 is not divisible by 48.