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    Question

    In a blend of oil and diesel, the amount of diesel constitutes 80% of the quantity of oil present. Additional quantities 'p' liters of oil and 'q' liters of diesel are introduced to the mixture in a way that the ratio of the oil quantity to the diesel quantity remains constant. What are the potential values for 'p' and 'q'?

    I. 25:20

    II. 30:18

    III. 10:12

    A Only II Correct Answer Incorrect Answer
    B Only III Correct Answer Incorrect Answer
    C Only II and III Correct Answer Incorrect Answer
    D Only I Correct Answer Incorrect Answer
    E All I, II and III Correct Answer Incorrect Answer

    Solution

    ATQ, Let the initial quantity of oil in the mixture be 100a litres Therefore, initial quantity of diesel in the mixture = 0.8 × 100a = 80a litres Ratio of quantity of oil to that of diesel = 100a:80a = 5:4 Therefore, p:q must be equal to 5:4 such that ratio of oil to diesel in the resultant mixture remains same. For I: (p:q) = 25:20 = 5:4 Therefore, I is possible. For II: (p:q) = 30:18 = 5:3 Therefore, II is not possible For III: (p:q) = 10:12 = 5:6 Therefore, III is not possible.

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