Multiple choice

[CAT 1997] The average marks of a student in 10 papers are 80. If the highest and the lowest scores are not considered, the average is 81. If his highest score is 92, find the lowest.

  1. 60

  2. 62

  3. 68

  4. 64
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A Correct answer
Explanation

Total sum = 10 * 80 = 800. Sum of 8 papers = 8 * 81 = 648. Sum of highest and lowest = 800 - 648 = 152. Lowest = 152 - 92 = 60.

AI explanation

Using the basic average formula, the total marks in all 10 papers is 10 times 80, which equals 800. The total of the remaining 8 papers is 8 times 81, which equals 648. The sum of the highest and lowest scores is 800 minus 648, giving 152. Since the highest score is 92, the lowest score is 152 minus 92, which is 60.

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