Multiple choice

Average marks of a student in 10 papers are 80. If the highest and lowest marks are not considered, the average is 81. His highest marks are 92. Find his lowest marks, if his marks in all the 10 papers are distinct.

  1. 55

  2. 60

  3. 62

  4. 65
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B Correct answer
Explanation

Total sum = 800. Sum of 8 papers (excluding highest and lowest) = 81 * 8 = 648. Highest + Lowest = 800 - 648 = 152. Lowest = 152 - 92 = 60.

AI explanation

The total marks for all 10 papers is 10 multiplied by 80, which equals 800. The total for the middle 8 papers is 8 multiplied by 81, equaling 648. The sum of the highest and lowest marks is 800 minus 648, giving 152. Subtracting the highest marks of 92 from 152 gives the lowest marks of 60.

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