Quantitative Aptitude Ques 708

Question: Out of the fractions $ \frac{4}{9}, $ $ \frac{5}{11}, $ $ \frac{3}{7}, $ $ \frac{1}{4} $ and $ \frac{2}{5}, $ what is the difference between the second largest and second smallest fractions?

Options:

A) $ \frac{2}{35} $

B) $ \frac{1}{45} $

C) $ \frac{3}{35} $

D) $ \frac{2}{45} $

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ \frac{4}{9}=0.444, $ $ \frac{5}{11}=0.454, $ $ \frac{3}{7}=0.429, $ $ \frac{1}{4}=0.25, $ $ \frac{2}{5}=0.4 $ Difference between second largest and second Smallest $ =\frac{4}{9}-\frac{2}{5}=\frac{20-18}{45}=\frac{2}{45} $