Question

On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is:

Options:
A .  10
B .  11
C .  12
D .  13
Answer: Option A

Clearly, (2272 - 875) = 1397, is exactly divisible by N.


Now, 1397 = 11 x 127


On Dividing 2272 As Well As 875 By 3-digit Number N, We Get ... The required 3-digit number is 127, the sum of whose digits is 10.

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