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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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