Question

When "N" is divided by "4" the remainder is '3' what is the remainder when "2N" is divided by 4?

a) 1

b) 2

c) 3

d) 4

Answer 1

Correct option: (b) 2

Explanation:

Q = Quotient

N = 4Q + r ⇒ N = 4Q + 3

When '2N' is divided by 4..

2N = 2 (4q + 3) ⇒ 2N = 8q + 6

2N = 4 (2q + 1) + 2

Remainder = 2