Quantitative Aptitude Ques 1988

Question: Directions: What should come at the place of question mark (?) in the following questions?

$ 1-\frac{5}{7+\frac{1}{4+\frac{1}{2+\frac{1}{3}}}}=? $

Options:

A) $ \frac{39}{127} $

B) $ \frac{69}{224} $

C) $ \frac{42}{247} $

D) $ \frac{63}{771} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ 1-\frac{5}{7+\frac{1}{4+\frac{1}{2\frac{1}{3}}}}=1-\frac{5}{7+\frac{1}{4+\frac{1}{3}}}=1-\frac{5}{7+\frac{1}{4+\frac{3}{7}}} $ $ =1-\frac{5}{7+\frac{1}{\frac{31}{7}}}=1-\frac{5}{7+\frac{7}{31}}=1-\frac{5}{\frac{7\times 31+7}{31}} $ $ =1-\frac{5\times 31}{217+7}=1\frac{155}{224} $ $ =\frac{224-155}{224}=\frac{69}{224} $
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