A number when divided by 7 leaves a remainder 4. What will be the remainder when the square of the same number is divided by 7?

Correct option is D

Given:

A number leaves a remainder 4 when divided by 7,

Concept Used:
Dividend = Divisor × quotient + remainder

Solution:

Let the number be x

So,

x =7k + 4 for some integer k

minimum possible value of k = 1

x = 7(1) + 4 = 11

Now, dividing (11)² by 7

121 ÷ 7 gives 2 as a remainder