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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.

    Quantity-I: Determine the value of 'p' if (p -

    3)2 = 49. Quantity-II: Determine the value of 'q' if 2q2 + 180 = 39q
    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, Quantity I: (p - 3)2 = 49 So, p - 3 = 7 or p - 3 = -7 So, p = 10 or p = -4 So, Quantity I = 10 or -4 Quantity II: 2q2 + 180 = 39q Or, 2q2 - 39q + 180 = 0 Or, 2q2 - 24q - 15q + 180 = 0 Or, 2q(q - 12) - 15(q - 12) = 0 Or, (q - 12) (2q - 15) = 0 So, q = 12 or q = 7.5 So, no relation can be established between Quantity I and Quantity II

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