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

100
110
120
150

Correct Answer: 100

Explanation:

Let the number of candidate who passed = y
Then, 39y + 15(120 - y) =120 x 35
⇒ 24y= 4200 -1800
∴ y= 2400 / 24 = 100

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