When a natural number 'n' is divided by 4, the remainder is 3. What will be the remainder when (2n + 3) is divided by 4?

Correct option is A

Given:

n divided by 4 gives a remainder of 3

Concept Used:

n = 4k + 3, for some integer k

Solution:

n = 4k + 3 into the expression (2n + 3).

2n + 3 = 2(4k + 3) + 3 = 8k + 9

Now, find the remainder when 8k + 9 is divided by 4.

The remainder when 8k + 9 is divided by 4 is the same as the remainder when 9 is divided by 4, which is 1.

Alternative Method:

let the natural number be n = 7
7 divided by 4 the remainder = 3
2n + 3 = 2 × 7 + 3
=14 + 3
= 17
17 divided by 4, the remainder = 1
Therefore, the correct answer is (a).