Question

Which of the following numbers is divisible by 24 ? (A) 13,944 (B) 15,746 (C) 15,966 (D) 16,012 (E) none of the above

Answer 1

The only divisible is option A.13944 cause = 1+3+9+4+4 =21
21 which is divisible by 3
944 is divisible by 8 and it makes 118

Answer 2

Only A is divisible by 24.

Explanation:

A number is divisible by 24 if it's divisible by both 3 and 8.

Numbers are divisible by 3 if all their digits add to a multiple of 3, and numbers are divisible by 8 if the last 3 digits are divisible by 8.

Let's look at A, 13944. The numbers add up to
`1+3+9+4+4=21`, which is divisible by 3.

944 is divisible by 8, and it makes 118.

So A works.

B is 15746.

`1+5+7+4+6=23`, so this won't work as 23 isn't divisible by 3.

C is 15966.

`1+5+9+6+6=27/3=9`, so this works for 3 but let's check 8.

`966/8=120.75` so it's not divisible by 8, therefore not divisible by 24.

D is 16012.

`1+6+0+1+2=10` and 10 isn't divisible by 3, so it doesn't work.

Hope this helped!