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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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