Question

    The question consists of two statements numbered “I

    and II” given below it. You have to decide whether the data provided in the statements are suicient to answer the question. Four friends—P, Q, R, and S—are being considered. The age difference between P and Q is 5 years. The current age ratio of R to Q is 3:5. Determine the current age of P. Statement I: The average of the current ages of P, Q, and S is (83/3) years. Statement II: S is currently 28 years old. In five years, the ratio of the ages of Q to P will be 7:6.
    A The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. Correct Answer Incorrect Answer
    B The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question. Correct Answer Incorrect Answer
    C The data either in statement I alone or in statement II alone are sufficient to answer the question. Correct Answer Incorrect Answer
    D The data given in both statements I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer
    E The data in both statements I and II together are necessary to answer the question. Correct Answer Incorrect Answer

    Solution

    ATQ,

    Assume the current age of R = 3x years Current age of Q = 5x years Current age of P = either 5x – 5 or 5x + 5 Statement I: The information provided in Statement I alone is not enough to determine the answer. Statement II: The current age of S is 28 years. In five years, the ratio of Q's age to P's age will be 7:6. This implies that Q is older than P. (5x + 5) : [(5x – 5) + 5] = 7 : 6 => 30x + 30 = 35x => 5x = 30 => x = 6 Thus, Present age of P = (6 × 5) – 5 = 25 years Hence, the data in Statement II alone is sufficient to answer the question.

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