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Which of the following numbers is completely divisible by 99?

a

57717

b

57627

c

55162

d

56982

Answer : Option A
Explanation :

A number is divisible by 99 if it is divisible by 9

and 11 both.

Sum of the digits of the number 57717

= 5 + 7 + 7 + 1 + 7 = 27 which is divisible by 9.

Difference between the sum of digits at odd and

even places = (7 + 7 + 5) – (7 + 1)

= 19 – 8 = 11 which is a multiple of 11.

∴ Required number = 57717

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