Multiple choice

The average weight of ten students of class is 40 kg. If the lightest and heaviest student are not taken into account then average weight of remaining students is 41 kg. If the weight of heaviest student is 50 kg, find the weight of lightest student. (in Kg)

  1. 21

  2. 22

  3. 23

  4. 24

  5. 25
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B Correct answer
Explanation

Total weight of 10 students = 400. Weight of 8 students (excluding lightest and heaviest) = 41 * 8 = 328. Sum of lightest and heaviest = 400 - 328 = 72. Since heaviest is 50, lightest = 72 - 50 = 22.

AI explanation

The total weight of all ten students is 10 times 40, which equals 400 kg. The total weight of the remaining eight students, excluding the lightest and heaviest, is 8 times 41, which equals 328 kg. Subtracting this from the overall total gives the combined weight of the lightest and heaviest students, which is 400 minus 328, or 72 kg. Since the heaviest student weighs 50 kg, the lightest student weighs 72 minus 50, which equals 22 kg.

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