Number Systems

This topic has expert replies
Source: — Problem Solving |

User avatar
Master | Next Rank: 500 Posts
Posts: 490
Joined: Thu Jul 04, 2013 7:30 am
Location: Chennai, India
Thanked: 83 times
Followed by:5 members

by Uva@90 » Mon Oct 14, 2013 1:57 am
sukhman wrote:1^1+2^2+3^3+----10^10 is divided by 5 . What is the remainder?
a. 0 b.1 c.2 d.3 e.4
Sukhman is OA C,

Here is how I did,

Anything to the power of 1 end in =================1
2^2 =================4
3^3 =================7(3,9,7,1)
4^4 =================6(series go like this, 4,6, same again)
5^5 =================5
6^6 =================6
7^7 =================3(7,9,3,1)
8^8 =================6(8,4,2,6)
9^9 =================9(9,1)
10^10 =================0
Sum ends in 7

So OA is 2