Quantitative Aptitude Ques 470

Question: $ ( 1-\frac{1}{3} )( 1-\frac{1}{4} )( 1-\frac{1}{5} )…( 1-\frac{1}{25} ) $ is equal to

Options:

A) $ \frac{2}{25} $

B) $ \frac{1}{25} $

C) $ 1\frac{19}{25} $

D) $ \frac{1}{325} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ ( 1-\frac{1}{3} )( 1-\frac{1}{4} )( 1-\frac{1}{5} )…( 1-\frac{1}{25} ) $ $ =( \frac{2}{5} )( \frac{3}{4} )( \frac{4}{5} )…( \frac{24}{25} )=\frac{2}{25} $
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