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Aptitude · Q531

Number System

Competitive Exams · Aptitude · question 531

Q531

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
Answer
B.
11
C.
12
D.
13

Answer: Option A

Solution

Answer: Option A
Solution:
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