Quantitative Aptitude Ques 1987

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

$ ( \frac{1}{2\frac{1}{3}}+\frac{1}{1\frac{3}{4}} )=? $

Options:

A) $ 4\frac{1}{12} $

B) $ \frac{7}{14} $

C) $ \frac{12}{49} $

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ [ \frac{1}{2\frac{1}{3}}+\frac{1}{1\frac{3}{4}} ] $ $ =[ \frac{1}{\frac{3\times 2\times 1}{3}}+\frac{1}{\frac{4\times 1\times 3}{4}} ]=[ \frac{1}{\frac{6+1}{3}}+\frac{1}{\frac{4+3}{4}} ] $ $ [ \frac{1}{\frac{7}{3}}+\frac{1}{\frac{7}{4}} ]=\frac{3}{7}+\frac{4}{7}=\frac{3+4}{7}=\frac{7}{7}=1 $