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.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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