Keerthana
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Which of the following numbers is completely divisible by 99?

a

51579

b

49984

c

55036

d

51557

Answer : Option A
Explanation :

A number is divisible by 99 if it is divisible by

9 and 11.

A number is divisible by 9, if sum of its digits is

divisible by 9. A number is divisible by 11 if the

difference between sum of digits at odd and even

places is either zero or a multiple of 11.

51579 is ⇒ 5 + 1 + 5 + 7 + 9

= 27 which is divisible by 9.

Again, (9 + 5 + 5) – (7 + 1) = 19 – 8 = 11

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