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    Question

    In a college, 70% of the students opted for cultural

    activities. Among those, 50% participated in music events and the remaining 105 students took part in dance events. Calculate how many students did not opt for cultural activities.
    A 65 Correct Answer Incorrect Answer
    B 45 Correct Answer Incorrect Answer
    C 90 Correct Answer Incorrect Answer
    D 77 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the total number of students in the college be 100x.

    So, number of students who opted for cultural activities = 100x × 0.7 = 70x

    Number of students who did not opt for cultural activities = 100x - 70x = 30x

    Number of students who took part in dance events = 70x × 0.5 = 35x

    So, 35x = 105

    So, x = 3

    So, number of students who did not opt for cultural activities = 30x = 30 × 3 = 90

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