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    Question

    During a test, Rahul managed to get 38% and missed the

    cutoff by 16 marks, while Sneha got 45% and scored 5 marks above the passing marks. What was the pass mark?
    A 152 Correct Answer Incorrect Answer
    B 130 Correct Answer Incorrect Answer
    C 162 Correct Answer Incorrect Answer
    D 148 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Assume maximum marks = 100x

    Rahul's marks = 0.38 × 100x = 38x

    Passing marks = 38x + 16

    Sneha’s marks = 0.45 × 100x = 45x

    Passing marks = 45x - 5

    So, 38x + 16 = 45x - 5

    ⇒ 7x = 21

    ⇒ x = 3

    Passing marks = 38x + 16 = 38 × 3 + 16 = 114 + 16 = 130

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