SSC Sample Paper Mock Test-8 SSC CGL Tear-II Paper-1

In an examination 70% of the candidates passed in English, 80% passed in Mathematics, 10% failed in both the subjects. If 144 candidates passed in both, the total number of candidates was

A) 125

B) 200

C) 240

D) 375

Correct Answer: C

Solution :

Let total number of candidates = 100

70 candidates passed in English and 30 failed in it.

80 candidates passed in Maths and 20 failed in it.

10 candidates failed in English and Maths both.

\[\therefore \]Out of 30 failed in English, 10 failed in Maths also.

\[\therefore \]\[30-10=20\]failed in English alone.

Similarly, \[20-10=10\] failed in Maths alone.

\[\therefore \]Total number of failures \[=20+10+10=40\]

\[\therefore \]\[100-40=60\] candidates passed in both subjects.

Now, if 60 candidates pass, total strength =100

\[\therefore \]For 144 candidates, total strength

\[=\frac{100}{60}\times 144=240\]