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Is it E? Just used brute force way.. Don't know any short cut
1. Find all the last digits of 1^1, 2^2, 3^3... 10^10
2. Find remainder of sum of all the last digits when divided by 5.

Remainder of sum of last digits when div by 5 = 0
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

why should I add 0,1,2...10. We're supposed to add the unit's digit of 1^1,2^2,3^3...10^10.
That comes out to be 1+4+7+6+5+6+3+6+9+0=47.
so 47/5 gives remainder as 2.

Please correct if I'm wrong.
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If A equals success, then the formula is: A = X + Y + Z, X is work. Y is play. Z is keep your mouth shut.
Albert Einstein

Is it E? Just used brute force way.. Don't know any short cut 1. Find all the last digits of 1^1, 2^2, 3^3... 10^10 2. Find remainder of sum of all the last digits when divided by 5.