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Bunuel
If x is divided by 7, the remainder is 1. If y is divided by 7, the remainder is 2. What is the remainder if x + y is divided by 7?

A. 0
B. 1
C. 2
D. 3
E. 4

If x is divided by 7, the remainder is 1. If y is divided by 7, the remainder is 2

X = 7 I + 1
Y = 7 I + 2

You can take values as x=1, y = 2 or x = 15, y =16

X+Y = 7I + 3

D
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Given that If x is divided by 7, the remainder is 1. If y is divided by 7, the remainder is 2. And we need to find What is the remainder if x + y is divided by 7

If x is divided by 7, the remainder is 1

x -> Dividend
7 -> Divisor
a -> Quotient (Assume)
1 -> Remainders
=> x = 7*a + 1 = 7a + 1

If y is divided by 7, the remainder is 2

y -> Dividend
7 -> Divisor
b -> Quotient (Assume)
2 -> Remainders
=> y = 7*b + 2 = 7b + 2

What is the remainder if x + y is divided by 7

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

=> x + y gives 3 as remainder when divided by 7

So, Answer will be D
Hope it helps!

Watch the following video to learn the Basics of Remainders

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