A) 51579
B) 51557
C) 55036
D) 49984
Correct Answer: A
Solution :
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. \[51579\Rightarrow 5+1+5+7+9\] = 27 which is divisible by 9. Again, \[(9+5+5)-(7+1)=19-8=11\]
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