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Question

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

Options:
A .  95
B .  100
C .  105
D .  110
E .  None of these
Answer: Option B
 -  Let the number of passed candidates be a
 
Then total marks =>120 x 35 = 39 a + (120 – a) x 15
 
4200 = 39 a + 1800 – 15 a
 
      a = 100

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