Question

    The following questions are accompanied by three statements I, II and III.   You have to determine which statement(s) is/are sufficient/necessary to answer the questions. 

    What was the age of Sonu 10 years ago?

    I. Ram is seven years older than Sonu.

    II. The ratio of Ram’s present age to Sonu’s is 5:4.

    III. The difference between the age of Ram and that of Keshav is 12 years. 

    A Only III Correct Answer Incorrect Answer
    B Only I and II Correct Answer Incorrect Answer
    C Only II Correct Answer Incorrect Answer
    D Only II and III Correct Answer Incorrect Answer
    E All are together are necessary Correct Answer Incorrect Answer

    Solution

    Let Sonu’s present age be x years. ∴ Ram’s present age is (x + 7) years From II (x + 7)/x = 5/4 ∴ 4 x + 28 = 5 x x = 28  Hence, Sonu’s age 10 years ago = 28 – 10 = 18 years  Thus, From I and From II, we can find the age of Sonu. 

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