Question

If k1,k2,k3...kn are odd natural numbers,then find the remainder when k1^2+k2^2+k^3+....+kn^2 is divided by 4.

Answer 1

*answer*

when numbers k1, k2, k3,........... kn are odd natural numbers then the exponential powers (squares, cubes, etc.) are always odd numbers.

So when any odd no. is divided by even number (here-4)

then

Remainder =1