Question

    A tap of type '5P' can completely

    fill a tank in 'P/2' hours, whereas a tap of type '2Q' can fill the same tank in '4Q/5' hours. Quantity I: The sum of 'Q + 10'. Quantity II: The value of '2.75P'. In the question, two Quantity I and Quantity II are given. You have to solve both the Quantities to establish the correct relation between Quantity I and Quantity II.
    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,

    Let the total work be = 5P × P/2 = 2Q × 4Q/5 (P/Q)2 = (4/5)2 P/Q = 4/5 P = 4a, Q = 5a Q + 10 = 5a + 10 - Quantity I 2.75P = 2.75 × 4a = 11a - Quantity II a = 1 Quantity I = 5 × 1 + 10 = 15, Quantity II = 11 × 1 = 11, Quantity I > Quantity II a = 2, Quantity I = 5 × 2 + 10 = 20, Quantity II = 11 × 2 = 22, Quantity I < Quantity II Hence, Quantity I = Quantity II or No relation

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