Question 1011844
 
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)&divide 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