Question

A number when divided by 5 leaves 3 as remainder. If the square of the
same number is divided by 5, the remainder obtained is

Answer 1

Answer:

Let the number is (5x+3)

Then according to the question

⇒

5

(5x+3)

2

⇒

5

25x

2

+30x+9

⇒

5

25x

2

+

5

30x

+

5

5+4

⇒

5

5(5x

2

+6x+1)

+

5

4

∴reminder=4