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Discussion

A student's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half. The number of students in the class is:

  • A.10
  • B.20
  • C.40
  • D.73

Answer: C

The extra marks added to the total sum = 83 - 63 = 20.

Let N be the number of students. The increase in the total sum (20) caused the average to increase by 1/2.

Increase in average = \(\frac{\text{Increase in sum}}{\text{Number of students}}\)

\(\frac{1}{2} = \frac{20}{N}\)

N = 20 × 2 = 40.

There are 40 students in the class.

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