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In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and average came down to 45 marks. Total number of candidates who took the exam was:
  • a)
    150
  • b)
    200
  • c)
    300
  • d)
    600
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In an exam, the average was found to be 50 marks. After deducting comp...
Let number of candidates giving the exam = b
Then, total marks obtained by b candidates = 50b.
Now,
⇒ Change in computational marks for 1 candidate = 30,
⇒ Change in computational marks for 100 candidates = 3000,
Then, Final marks of b candidates = 45b.
Then according to the condition,
⇒ 50b – 3000 = 45b
⇒ 5b = 3000
⇒ b = 600
Hence, 600 students took the test.
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Most Upvoted Answer
In an exam, the average was found to be 50 marks. After deducting comp...
Let number of candidates be n
50 × n – 100 × 30 = 45 × n
n = 600
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In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and average came down to 45 marks. Total number of candidates who took the exam was:a)150b)200c)300d)600Correct answer is option 'D'. Can you explain this answer?
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