Quantitative Aptitude Ques 1232

Question: The value of $ 1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{2}{3}}}} $ is [SCC (CGL) 2011]

Options:

A) $ \frac{21}{13} $

B) $ \frac{17}{3} $

C) $ \frac{34}{21} $

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

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ 1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{2}{3}}}}=1+\frac{1}{1+\frac{1}{1+\frac{3}{5}}} $ $ =1+\frac{1}{1+\frac{5}{8}}=1+\frac{8}{13}=\frac{21}{13} $
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