SOLUTION: Dividing a no. By 5 we get 3 as remainder.What will remainder square of this divided by 5.

Question 1011844: Dividing a no. By 5 we get 3 as remainder.What will remainder square of this divided by 5.
Answer by mathmate(429) (Show Source): You can put this solution on YOUR website!

Question:
Dividing a no. By 5 we get 3 as remainder.What will remainder square of this divided by 5.

Solution:

Let this number be represented by N=5n+3 where n is an integer.
So (5n+3)÷ 5 will have 3 as a remainder, since 5n÷5=n, an integer.

Similarly,
(5n+3)²=25n²+30n+3²=5(5n²+6n)+9
so
(5n+3)²÷5=(5n²+6n)+1 with a remainder of 4

Answer: the remainder of N²÷ 5 is 4

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