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    Question

    In an exam, two candidates scored 33% and 38% of the

    total marks, but both did not pass. The first candidate fell short by 56 marks, while the second candidate was short by 16 marks. Determine the passing marks required for the exam.
    A 300 Correct Answer Incorrect Answer
    B 250 Correct Answer Incorrect Answer
    C 320 Correct Answer Incorrect Answer
    D 360 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let maximum marks = x According to the questions, x × 33% + 56 = x × 38% + 16 x × 38% - x × 33% = 56 – 16 x × 5% = 40 x = 800 Passing marks = x × 38% + 16 = 800 × 38% + 16 = 304 + 16 = 320

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