Question

    1st  type of 5X tap can fill a tank in X/2

    hours while 2nd  type of 2Y taps can fill the same tank in 4Y/5 hours. Quantity 1 : Value of Y + 10. Quantity 2 : Value of 2.75X.
    A Quantity I = Quantity II or No relation can be established Correct Answer Incorrect Answer
    B Quantity-I < Quantity-II Correct Answer Incorrect Answer
    C Quantity-1 > Quantity-II Correct Answer Incorrect Answer
    D Quantity-1 ≤ Quantity-II Correct Answer Incorrect Answer
    E Quantity-1 ≥ Quantity-II Correct Answer Incorrect Answer

    Solution

    Let the Total work will be = 5X × X/2 = 2Y × 4Y/5 (X/Y) 2 = (4/5)2  X/Y = 4/5 X = 4a, Y = 5a  Y + 10 = 5a + 10 = Q1 2.75X = 2.75 × 4a = 11a =Q2  Therefore a = 1, Q1 = 5 × 1 + 10 = 15, Q2 = 11 × 1 = 11, Q1 > Q2  So, a = 2, Q1 = 5 × 2 + 10 = 20, Q2 = 11 × 2 = 22, Q1 < Q2 Hence,  Q1 = Q2 or No relation

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