When a number n is divided by 5, the remainder is 2. When $$n^2$$ is divided by 5. the remainder will be:

Correct option is C

Given:

The remainder when n is divided by 5 is 2

Solution:

We are asked to find the remainder when $$n^2$$ is divided by 5.

First, express n in the form of n = 5k + 2, where k is some integer.

Now, calculate $$n^2$$​:
$$n^2$$​ = $$(5k + 2)^2$$​ = 25$$k^2$$​ + 20k + 4

put k =0

n$$^2$$ =4​

Since $$4 \div 5$$leaves a remainder of 1,
Thus, the remainder when $$n^2$$ is divided by 5 is 4