Quantitative Aptitude Ques 1791

Question: In the certain examination, 77% candidates passed in English and 34% failed in Mathematics. If 13% failed in both the subjects and 784 candidates passed in both the subjects, then the total number of candidates was

Options:

A) 1600

B) 1800

C) 1200

D) 1400

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let total number of candidates $ =x $ Candidate passed in English $ =77 $ %

$ \therefore $ Candidates failed in English $ =(100-77 $ %=23% and candidates failed in Mathematics $ =34 $ % Now, candidate failed in both the subjects $ = 13 $ %

$ \therefore $ Candidates passed in both the subjects $ ={(100-[(23+34)-13 $ % $ =(100- 44) $ %=56% Now, it is given that 56% of $ x=784 $

$ \Rightarrow $ $ \frac{x\times 56}{100}=784 $

$ \Rightarrow $ $ x=\frac{784\times 100}{56}=14\times 100 $

$ \Rightarrow $ $ x=1400 $

$ \therefore $ Total number of candidates = 1400