Question

If we have the same remainder (non-zero) when dividing the numbers 863 and 814 by a number $x$, then the value of $x$ is

• A. 3
• B. 5
• C. 7
• D. 9

Hint:

Same remainder problems reduce to checking divisors of the difference.

Answer 1

The Correct Option is C

Concept: If two numbers leave the same remainder when divided by $x$, then their difference is divisible by $x$. Explanation: \[ 863 - 814 = 49 \] So $x$ must divide 49. Factors of 49: 1, 7, 49 From options, $x = 7$.