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      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 sufficient to answer the question. The ratio of the present ages of 'B' and 'A' is 5:9, respectively. Determine the present age of 'A'. Statement I: 8 years ago from now, 'A' was 24 years older than 'B' Statement II: The ratio of their ages 6 years hence from now will be 3:5, respectively.
      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, Let the present ages of B and A be 5a years and 9a years, respectively Statement I: 9a – 5a = 24 Or, 4a = 24 Or, a = 6 Therefore, present age of A = 9a = 54 years So, data in statement I alone is sufficient to answer the question. Statement II: According to the question, (5a + 6)/(9a + 6) = 3/5 Or, 25a + 30 = 27a + 18 Or, 2a = 12 Or, a = 6 Therefore, present age of A = 9a = 54 years So, data in statement II alone is sufficient to answer the question. So, data either in statement I alone or in statement II alone are sufficient to answer the question.

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