The numbers 2272 and 875 are divided by a three-digit numbers N, giving the same remainder. The sum of the digits of N is :

A. 10

B. 11

C. 12

D. 13

Answer: Option A

Solution(By Examveda Team)

Clearly, (2272 - 875) = 1397, is exactly divisible by N.
Now, 1397 = 11 × 127
∴ The required 3-digit number is 127, the sum of whose digits is 10