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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 highest score = H Let lowest score = L Total runs in 130 innings: Total = 75 ├Ч 130 = 9750 After removing highest and lowest innings: Number of innings left = 130 тИТ 2 = 128 New average = 75 тИТ 2 = 73 So, total runs in remaining 128 innings: New total = 73 ├Ч 128 = 9344 Runs removed (highest + lowest): H + L = 9750 тИТ 9344 = 406 Also given: H тИТ L = 170 Solve the two equations: H + L = 406 H тИТ L = 170 Add them: 2H = 406 + 170 = 576 H = 576 ├╖ 2 = 288 Hence, the highest runs scored in an innings = 288

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