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      Question

      A college has a total of 2400 students, and each student

      must select only one subject from the following three options: Data Analysis, Digital Marketing, and Data Management. The details are as follows: 1) The number of girls is 60% of the number of boys. 2) The number of girls who select Digital Marketing as a subject is 25% of the number of boys who choose Data Management as a subject. 3) Half of the girls choose Data Analysis as a subject, and this number is equivalent to 75% of the boys choosing Data Management as a subject. 4) The number of boys opting for Digital Marketing as a subject is 20% less than the number of boys choosing Data Analysis as a subject. Quantity I: Determine the total number of students selecting Digital Marketing as a subject. Quantity II: Determine the total number of students selecting Data Analysis as a subject. Quantity III: Determine the total number of students selecting Data Management as a subject. In the question, three quantities i.e. Quantity I, Quantity II and Quantity III are given. Solve the given quantities to establish the correct relation between them and choose the correct option.
      A Quantity I > Quantity II < Quantity III Correct Answer Incorrect Answer
      B Quantity I < Quantity II > Quantity III Correct Answer Incorrect Answer
      C Quantity II > Quantity III > Quantity I Correct Answer Incorrect Answer
      D Quantity I > Quantity II > Quantity III Correct Answer Incorrect Answer
      E Quantity I = Quantity II = Quantity III or relation can't be established Correct Answer Incorrect Answer

      Solution

      ATQ, Number of Boys = 2400/(1 + 0.6) = 2400/1.6 = 1500 Number of Girls = 1500 × 0.6 = 900 Girls choosing Data Analysis as subject = 900 × 0.5 = 450 Boys choosing Data Management as subject = 450/0.75 = 600 Girls choosing Digital Marketing as subject = 600 × 0.25 = 150 Girls choosing Data Management as subject = 900 - (450 + 150) = 900 - 600 = 300 Boys choosing Data Analysis as subject = (1500 - 600)/(1 + 0.8) = 900/1.8 = 500 Boys choosing Digital Marketing as subject = 500 × 0.8 = 400 Quantity I, Students choosing Digital Marketing as subject = 400 + 150 = 550 Quantity II, Students choosing Data Analysis as subject = 450 + 500 = 950 Quantity III, Students choosing Data Management as subject = 600 + 300 = 900 Quantity II > Quantity III > Quantity I

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