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The average marks obtained by 120 candidates in a certain examination is 35. If the average mark of passed candidates is 39 and that of the failed candidates is 15, what is the number of candidates who passed the examination?
  • a)
    100
  • b)
    110
  • c)
    90
  • d)
    80
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The average marks obtained by 120 candidates in a certain examination ...
Total number of candidates = 120
Let the number of candidates who passed the exam be = x
No. of failed candidates = (120 - x)
Then total marks = 120 × 35 = 39x + (120 - x) × 15
⇒ 4200 = 39x + 1800 - 15x
⇒ 4200 - 1800 = 24x
∴ x =  2400/24  = 100
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Most Upvoted Answer
The average marks obtained by 120 candidates in a certain examination ...
Given Data:
- Total number of candidates = 120
- Average marks of all candidates = 35
- Average marks of passed candidates = 39
- Average marks of failed candidates = 15

Solution:

Step 1: Finding the number of failed candidates
- Let the number of failed candidates be x.
- Total marks obtained by failed candidates = x * 15
- Total marks obtained by passed candidates = 120 * 35 - x * 15
- Total marks obtained by all candidates = 120 * 35
- According to the given data, the total marks obtained by all candidates should equal the sum of marks obtained by passed and failed candidates:
120 * 35 = 120 * 35 - x * 15 + x * 15
120 * 35 = 120 * 35
x = 0
Therefore, the number of failed candidates = 0

Step 2: Finding the number of passed candidates
- Number of passed candidates = Total candidates - Number of failed candidates
Number of passed candidates = 120 - 0 = 120
Therefore, the number of candidates who passed the examination is 120.
Hence, the correct answer is option A) 100.
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The average marks obtained by 120 candidates in a certain examination is 35. If the average mark of passed candidates is 39 and that of the failed candidates is 15, what is the number of candidates who passed the examination?a)100b)110c)90d)80Correct answer is option 'A'. Can you explain this answer?
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