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    Question

    The average mark obtained by 120 candidates in a certain

    examination is 50. If the average marks of passed candidates are 55 and that of the failed candidates is 30, then what is the number of candidates who passed in the examination?
    A 96 Correct Answer Incorrect Answer
    B 120 Correct Answer Incorrect Answer
    C 140 Correct Answer Incorrect Answer
    D 100 Correct Answer Incorrect Answer
    E 104 Correct Answer Incorrect Answer

    Solution

    According to question, => 55 × x + 30 × (120 − x) = 120 × 50 => 55x + 3600 – 30x = 6000 => x = 96

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