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      Question

      Virat Kohli has played 122 innings and has an average

      score of 74 runs per inning. The difference between his highest and lowest scores in an innings is 186 runs. If these two extreme scores (highest and lowest) are excluded, the average of the remaining innings decreases by 1.25 runs. What is the highest score he has achieved in a single inning?
      A 225 Correct Answer Incorrect Answer
      B 480 Correct Answer Incorrect Answer
      C 242 Correct Answer Incorrect Answer
      D 220 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;

      Let highest and lowest runs scored by the Virat Kohli is ‘x’ and ‘y’ respectively.

      Total runs scored by him in 122 innings = 122 × 74 = 9028

      Runs scored by him in 120 innings = 72.75 × 120 = 8730

      So, x + y = 9028 – 8730 = 298

      And, x – y = 186

      So, x = (298 + 186)/2 = 242

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