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    Question

    KL Rahul has an average score of 75 runs in 130 innings.

    The highest runs scored by him in an innings exceed his lowest score by 170 runs. If the runs scored in these two innings are removed, then his average decreases by 2. Find the highest runs scored by him in an innings.
    A 328 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 the highest and lowest runs scored by KL Rahul be โ€˜xโ€™ and โ€˜yโ€™ respectively.

    Total runs scored by him in 130 innings = 130 ร— 75 = 9750

    Runs scored by him in 128 innings = (75 - 2) ร— 128 = 73 ร— 128 = 9344

    So, x + y = 9750 โ€“ 9344 = 406

    And, x โ€“ y = 170

    So, x = (406 + 170)/2 = 288

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