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Question

A number x when divided by 7 leaves a remainder 1 and another number y when divided by 7 leaves the remainder 2. What will be the remainder if x+y is divided by 7?

A
1
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B
2
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C
3
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D
4
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Solution

The correct option is A 3
We know that,
Dividend=(Divisor×Quotient)+Remainder
Given numbers x,y
Let us assume a is the quotient when x is divided by 7 and b is the quotient when y is divided by 7

x=7 ×a+1 and y=7 ×b+2

x+y=7a+7b+1+2=7(a+b)+3

(x+y) when divided by 7 leaves a remainder 3.

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