Multiple choice

The average marks of a student in 6 subjects are 80. If the maximum and the minimum marks are excluded, the average marks in the remaining subjects will be reduced by 2. If the maximum marks in a subject are 98, what would be the minimum marks?

  1. 90

  2. 89

  3. 72

  4. 70

  5. 68
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D Correct answer
Explanation

Total marks = 6 * 80 = 480. Excluding max (98) and min (x), sum of 4 subjects = 480 - 98 - x = 382 - x. New average = (382 - x) / 4 = 80 - 2 = 78. 382 - x = 312, x = 70.

AI explanation

The total marks for all 6 subjects is 80 times 6, which equals 480. Excluding the maximum and minimum marks leaves 4 subjects with an average of 78, so their sum is 312. The sum of the maximum and minimum marks is 480 minus 312, which equals 168. Given the maximum marks are 98, the minimum marks are 168 minus 98, which equals 70.

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