When n is divided by 4, the remainder is 3. What is the remainder when 2 n is divided by 4? · ABC26GN0347

Subject: General Aptitude · Chapter: Number System

When $n$ is divided by 4 , the remainder is 3 . What is the remainder when $2 n$ is divided by 4?

(a)1

(b)2

(c)3

(d)6

Answer

Answer (as printed): B

Explanation

Let $n=4 k+3$. Then, $2 n=2(4 k+3)=8 k+6=4 \times 2 k+4 \times 1+2=4$ $(2 k+1)+2$. Thus, on dividing $2 n$ by 4, we get 2 as remainder.

Explanation as extracted from the printed page; notation may be imperfect.

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