Quantitative Aptitude Ques 1723

Question: $ ( 1-\frac{1}{2} )( 1-\frac{1}{3} )( 1-\frac{1}{4} )( 1-\frac{1}{5} )…( 1-\frac{1}{m} )=? $

Options:

A) $ \frac{1}{m} $

B) $ m $

C) $ m+1 $

D) $ \frac{1}{(m-1)} $

E) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • Given expression $ =( 1-\frac{1}{2} )( 1-\frac{1}{3} )( 1-\frac{1}{4} )( 1-\frac{1}{5} )…( 1-\frac{1}{m-1} )( 1-\frac{1}{m} ) $ $ =\frac{1}{2}\times \frac{2}{3}\times \frac{3}{4}\times \frac{4}{5}\times …\times \frac{(m-2)}{(m-1)}\times \frac{(m-1)}{m}=\frac{1}{m} $
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