Question

When a natural number n is divided by 5 the remainder is 4. What is the remainder when 2n is divided by 5?

A. 2

B. 3

C. 4

D. 0

• A. A
• B. D
• C. B
• D. C

Answer 1

Answer:

C. B

Let, the quotient = x ∴ n = 5x + 4 ⇒ 2n = 10x + 8 = 10x + 5 + 3 = 5(2x + 1) + 3 ∴ When 2n is divided by 5, remainder = 3