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    What is Rasika’s present age

    I.                     Rasika’s age four years hence will be three times Manisha’s age that time.

    II.                    Rasika’s age two years ago was five times Manish’s age that time.

  • If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
  • If the data statement II alone is sufficient to answer the question, while the data in both the statements I alone is not sufficient to answer the question.
  • If the data in statement I alone or in statement II alone is sufficient to answer the question.
  • If the data in both the statement I and II is not sufficient to answer the question.
  • If the data in both the statement I and II together is necessary to answer the question.
  • Explanation:

    Let Rasika's present age = 4 years

    Manisha's present age = y years

    From statements I and II,

    (x+4) = 3 (y+4)

    x+4 = 3y+14

    x-3y = 8

    (x-2) = 5 (y-2)

    x-2 = 5y-10

    x-5y= -8

    On solving equations (i) and (ii),

    x=32, y=8

    ∴ Present age of Rasika = 32 years


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