The number x is exactly divisible by 5 and the remainder obtained on dividing the number y by 5 is 1. what remainder will be obtained when (x + y) is divided by 5?

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Correct Answer: 1

Explanation:

Let x/5 = p and let y when divided by 5 gives q as quotient and 1 as remainder.
Then, y = 5q + 1
Now x = 5p and y = 5q + 1
∴ x + y = 5p + 5q + 1 = 5(p + q) + 1
So, required remainder = 1

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