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      Question

      In a tournament, the average

      score of eight batsmen in the Chennai team is 80. If the highest three scores are not considered, the new average of the remaining players decreases by four. Assuming that the top four scores are all distinct whole numbers, what is the maximum score possible for any of these batsmen?
      A 65 Correct Answer Incorrect Answer
      B 120 Correct Answer Incorrect Answer
      C 105 Correct Answer Incorrect Answer
      D 95 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Total score of 8 batsmen = 8ร—80 = 640 Average of the bottom five batsmen = 80 - 4 = 76 Total score of the bottom five batsmen = 5ร—76 = 380 Total score of the top three batsmen = 640 โˆ’ 380 = 260 To maximize one playerโ€™s score, we keep the other scores at their minimum possible. Possible scores for the top three could be 77, 78, and a maximum score of 105.

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