Multiple choice

The average weight of 40 Students is 32. If the Heaviest and Lightest are excluded the average weight reduces by 1. If only the Heaviest is excluded then the average is 31. Then what is the weight of the Lightest?

  1. 30

  2. 31

  3. 32

  4. 33

  5. 34
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total weight = 40 × 32 = 1280. Without heaviest and lightest: 38 × 31 = 1178, so heaviest + lightest = 102. Without heaviest: 39 × 31 = 1209, so heaviest = 1280 - 1209 = 71. Therefore, lightest = 102 - 71 = 31.

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