# QA – Placement Quizzes | Progressions | Question 15

The value of the expression ^{100}∑_{i=2} 1/log_{i}100! is:**(A)** 0.01**(B)** 0.1**(C)** 1**(D)** 10**Answer:** **(C)****Explanation:** The expression ^{100}∑_{i=2} 1/log_{i}100! can be rewritten as:

1/log_{2}100! + 1/log_{3}100! + … + 1/log_{100}100!

= log_{100!}2 + log_{100!}3 + … + log_{100!}100

= log_{100!}2*3*…*100

= log_{100!}100!

= 1.

Quiz of this Question

Please comment below if you find anything wrong in the above post