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