The integers 573921 and 575713 when divided by a 3 digit number leave the same remainder What is tha...........

Quant (SSC) Number System

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The integers 573921 and 575713 when divided by a 3 digit number leave the same remainder. What is that 3 digit number?

206

256

274

189

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Explanation:

Let N be the 3 digit number.
Let R be the remainder.
So, 573921 – R and 575713 – R will be divisible by N
This means the difference between them is also divisible by N.
Difference = (575713 – R – 573921 + R) is divisible by N
Or 1792 divisible by N
N can be 256