Question 105

When 'n' is divided by 5 the remainder is 2. What is the remainder when n2 is divided by 5?

Solution

n = 5k+2 (where k is quotient )
so $$n^2 = 25k^2 + 4 + 20k$$
Now when $$n^2$$ will divided by 5 , remainder will be 4.


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