Question

Which of the following numbers is exactly divisible by 24 ?
(a) 35718
(b) 63810
(c) 537804
(4) 3125736

Answer 1

the answer is 3125736

Answer 2

Answer: Option 4,i.e. =3125736

Solution:

Divisibility by 24: if a number is divisible by 3 and 8 then that number is divisible by 24 also

Divisible by 3: If sum of digits of that number is divisible by 3,than that number is divisible by 3

Divisible by 8: If last three digits of a number is divisible by 8,than that number is divisible by 8

Now check the options:

1) 35718: is divisible by 3 because (3+5+7+1+8=24)

but not divisible by 8,because 718 is not divisible by 8

2) 63810: is divisible by 3 because (6+3+8+1+0=18)

but not divisible by 8,because 810 is not divisible by 8

(c) 537804:is divisible by 3 because (5+3+7+8+0+4=27)

but not divisible by 8,because 804 is not divisible by 8

(4) 3125736:is divisible by 3 because (3+1+2+5+7+3+6=27)

and 736 is also divisible by 8,Thus 3125736 is divisible by 24.

Option 4 is correct.

Hope it helps you.