TCS Company Numerical Ability Log and Antilog

Find the summation of log(n), where n is a series of numbers from 1 to 1024. (Take the base of logarithm as 2).

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TCS Other Question

The sum of a series of numbers upto n terms is 1/n. Find the sum of all the numbers upto 2014
a) 1/2013*2014!
b)1/2013*2013!
c)2013!
d)2014!
101102103104105106..............149150. what is the remainder when divided by 9?