111, 111, 111, 111 is divisible by :

A. 3 and 37 only

B. 3, 11 and 37 only

C. 3, 11, 37 and 111 only

D. 3, 11, 37, 111 and 1001

Answer: Option D

Solution(By Examveda Team)

Sum of the digits = 12, which is divisible by 3. So, the given number is divisible by 3
(Sum of digits at odd places) - (Sum of digits at even places)
= 6 - 6 = 0
So, the given number is divisible by 11
The given number when divided by 37 gives 3003003003
So, the given number is divisible by 37
The given number when divided by 111 gives 1001001001
Clearly, it is divisible by 111 as well as by 1001
Hence, the given number is divisible by each one of 3, 11, 37, 111 and 1001