# A and B are two number when divided by 7 leaves a remainder 3 and 5. What will be the remainder when A-B is divided by 7 ?

A and B are two number when divided by 7 leaves a remainder 3 and 5. What will be the remainder when A-B is divided by 7 ?

A. 4

B. 5

C. 6

D. 7

**Answer : **B. 5

## Explanation:

A = 7x + 3,

B = 7y + 5

A - B = 7(x - y) - 2

A - B = 7(x - y) - 7 + 7 – 2 [By adding -7 and +7]

A - B = 7(x - y - 1) + 5

As seen above, if we divide A-B by 7, the remainder will be 5.