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Question

The average of marks obtained by 120 condidates was 35. If the average of the passed candidates was 39 and that of the failed candidates was 15, then the number of those candidates who passed the examination was

A
100
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B
110
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C
120
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D
150
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Solution

The correct option is D 100
Let the number of the passed candidates=x.
Then the number of the failed candidates=120-x.
Now the total of the marks obtained by 120 candidates=120×35=4200.
The total of the marks obtained by passed candidates=39×x=39x. and
the total of the marks obtained by failed candidates=(120x)×15=4200.
Then the total=39x+(120x)×15=420024x=42001800x=100
So the number of passed candidates=100.
Ans- Option A.


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