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    Question

    In the question, two Quantities I and II are given. You have to solve both the Quantity to establish the correct relation between Quantity-I and Quantity-II and choose the correct option.

    In an office with 35,000

    employees, 44% work in the IT department, while the rest are in the HR department. In the HR department, there are 3,400 more women than men, and 40% of IT department employees are men. Quantity-I: Calculate 80% of the total number of women in the HR department. Quantity-II: Determine the total number of women in the IT department.
    A Quantity-I > Quantity-II Correct Answer Incorrect Answer
    B Quantity I < Quantity II Correct Answer Incorrect Answer
    C Quantity I = Quantity II or No relation can be established Correct Answer Incorrect Answer
    D Quantity-I ≤ Quantity-II Correct Answer Incorrect Answer
    E Quantity-I ≥ Quantity-II Correct Answer Incorrect Answer

    Solution

    ATQ, Number of employees in IT Department = 35000 × 0.44 = 15400 Number of employees in HR Department = 35000 – 15400 = 19600 Let the number of men in HR Department = ‘x’ Then, number of women in HR Department = (x + 3400) So, x + x + 4000 = 19600 Or, 2x + 3400 = 19600 So, x = (19600 – 3400) ÷ 2 = 8100 So, number of men and women in HR Department is 8100 and 11500, respectively. Number of women in IT Department = 15400 × (1 – 0.4) = 9240 Quantity I: Quantity I = 11500 × 0.80 = 9200 Quantity II: Quantity II = 9240 So, Quantity I < Quantity II

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