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On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?
Answers (1)
Assume the number is a and hold below equality.
a = 5xb + 3
a2 = ( 5xb + 3)2
a2 = 25b2 + 9 + 30b
a2 = 5(5b2 + 1 + 6b) + 4
Hence when a2 is divided by 5 it will give 4 as remainder.
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