Question

When the integer m is divided by 8, the remainder is 5. What is the remainder if 7m is divided by 8?
1. 5
2. 4
3. 3
4. 6

Answer 1

Correct Answer - Option 3 : 3

Concept:

Dividend = Divisor × Quotient + Remainder

Calculation:

m = 8 × q + 5      [where q is quotient]

7m = 7(8 × q + 5)

⇒ 7 × 8q + 7 × 5 

⇒ 7 × 8q + 32 + 3 

⇒ 7 × 8q + 8 × 4 + 3

⇒ 8(7q + 4) + 3

∴ The remainder when 7m is divided by 8 is 3.