Question

    In this problem, you are presented with two quantities,

    Quantity I and Quantity II.calculate both quantities and determine the correct relationship between them. Quantity I: Determine the number of factors of the number 20. Quantity II: If 'a%' of 200 is 8 more than 'b%' of 400, then find the value of (a - 2b). Now, compare Quantity I and Quantity II to establish the correct relationship between them and choose the appropriate option.
    A Quantity I > Quantity II Correct Answer Incorrect Answer
    B Quantity < Quantity II Correct Answer Incorrect Answer
    C Quantity I ≤ Quantity II Correct Answer Incorrect Answer
    D Quantity I ≥ Quantity II Correct Answer Incorrect Answer
    E Quantity I = Quantity-II or No relation Correct Answer Incorrect Answer

    Solution

    ATQ, Quantity I: Factors of 20 = 1, 2, 4, 5, 10, and 20 So, number of factors of 20 = 6 So, Quantity I = 6 Quantity II: ATQ: (a/100) × 200 = (b/100) × 400 + 8 Or, 2a = 4b + 8 Or, a = 2b + 4 So, required value = 2b + 4 - 2b = 4 So, Quantity II = 4 So, Quantity I > Quantity II

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