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Q7 (CISF/2021) Miscellaneous & General Knowledge › Important Days, Places & Events

The average marks of 40 students in a class is 59 and after removing the highest mark, the average of the remaining 39 students is 58. What is the highest mark in the class ?

Result
Your answer: —  Â·  Correct: A

Explanation

To find the highest mark, we calculate the total sum of marks before and after the removal:

  • Total marks of 40 students: Average × Number of students = 59 × 40 = 2360.
  • Total marks of 39 students: (After removing the highest mark) = 58 × 39 = 2262.

The highest mark is the difference between the initial total and the new total:

Highest Mark = 2360 - 2262 = 98.

Alternative Method: The average of the 39 remaining students decreased by 1 (from 59 to 58). This means the highest mark was greater than the original average by the sum of these decreases:
Highest Mark = Original Average + (Number of remaining students × Decrease in average)
Highest Mark = 59 + (39 × 1) = 98.

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