Question

PLEASE HELP!!!!!

If n/8 has a remainder of 5, then which of the following has a remainder of 7?

A) n+1/8

B) n+2/8

C) n+5/8

D) n+7/8

Answer 1

`(n+2)/(8)` has a remainder of 7 ⇒ B

Explanation:

In m ÷ n = c +
`(r)/(n)` ,

• m is the dividend

• n is the divisor

• c is the quotient

• r is the remainder

• m = (n × c) + r

Let us use the facts above to solve the question

∵
`(n)/(8)` has a remainder of 5

→ Let us find the first number divided by 8 and give a reminder of 5

that means let the quotient = 1

∵ n = (8 × 1) + 5 = 8 + 5

∴ n = 13

∵
`(n+x)/(8)` has a remainder of 7

→ Let us find the first number divided by 8 and give a reminder of 7

that means let the quotient = 1

∵ n + x = (8 × 1) + 7 = 8 + 7

∴ n + x = 15

∵ n = 13

∴ 13 + x = 15

→ Subtract 13 from both sides

∴ 13 -13 + x = 15 - 13

∴ x = 2

∴
`(n+2)/(8)` has a remainder of 7