Question

Which of the following numbers is completely divisible by 99?
(a) 51579
(b) 51557
(c) 55036
(d) 49984

Answer 1

the correct answer is (a) 51579 I am sure....

Answer 2

Here is your answer

99= 11×9
so, a number divisible by 99 is also divisible by both 11 and 9

Now applying divisibility rule of 9 and 11 in each given options -

In a) 51579
5+1+5+7+9=27
27 is divisible by 9
So, given no. is divisible by 9

and, 9+5+5 and 7+1
198
1+8 and 9
99
99 is divisible by 11
so, given no. is also divisible by 11

Hence, 51579 is divisible by 99

Hope it is useful