Question

when a number is divided by 5 the remainder is 3 then what will be the remainder if the square of the number is divided by 5

Answer 1

example

13 divided by 5 leaves 3 as remainder

when u divide the square of 13 = 169 by 5

it leaves 4 as remainder

Answer 2

Answer:

Let x a number.

Property of the modulus operator says that, for two integers a and b, on taking modulus with N.

(a*b)%N = ( (a%N) * (b%N) )%N ……………………………………………….. (1)

In given question, we have

x%5 = 3 ………………………………………………………………………………………..(2)

We need to find (x*x)%5

By equation (1)

(x*x)%5 = ( (x%5) * (x%5) )%5

= (3 * 3)%5

=9%5

=4

Answer : 4

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