SATHEE: Quantitative Aptitude Ques 1325

Quantitative Aptitude Ques 1325

Question: Simplify $ ( 1+\frac{1}{4} )( 1+\frac{1}{4} )( 1+\frac{1}{5} )( 1-\frac{1}{5} ) $ $ ( 1+\frac{1}{6} )( 1-\frac{1}{6} ). $

Options:

A) $ \frac{3}{8} $

B) $ \frac{5}{8} $

C) $ \frac{7}{8} $

D) $ \frac{1}{8} $

Show Answer

Answer:

Correct Answer: C

Solution:

$ ( 1+\frac{1}{4} )( 1-\frac{1}{4} )( 1+\frac{1}{5} )( 1-\frac{1}{5} )( 1+\frac{1}{6} )( 1-\frac{1}{6} ) $ $ =( \frac{4+1}{5} )( \frac{4-1}{5} )( \frac{5+1}{5} )( \frac{5-1}{5} )( \frac{6+1}{6} )( \frac{6-1}{6} ) $ $ =( \frac{5}{4} )( \frac{3}{4} )( \frac{6}{5} )( \frac{4}{5} )( \frac{7}{6} )( \frac{5}{6} ) $ $ =\frac{5}{4}\times \frac{3}{4}\times \frac{6}{5}\times \frac{4}{5}\times \frac{7}{6}\times \frac{5}{6}=\frac{3\times 7}{4\times 6}=\frac{7}{8} $

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