What is the remainder when 81+82+83……+815 is divided by 6  Pick:	A) 0	B) 1	C) 2	D) 4	E) 5
Thus odd powers will have remainder 2 ; and even powers will have remainder 4   Now, 81+82+83……+81581+82+83……+815 will have the following powers -   Odd = 1 , 3 , 5 , 7 , 9 , 11 , 13 , 15 ( 8 odd powers ) ; Sum of remainder = 16   Even Powers = 2, 4 , 6 , 8 , 10 , 12 , 14 ( 7 even Powers ) ; Sum of remainder = 28   Total sum of remainder = 44   44/6 = Remainder 2   Hence correct answer will be (2) 2....
<result>C</result>
What is the remainder when 81+82+83……+815 is divided by 6