Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-42

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 [SSC (CGL) 2014]

A) 1600

B) 1800

C) 1200

D) 1400

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