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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. There are three persons A, B and C. The sum of the present ages of A and B is 50 years. Find the present age of C. Statement I: 5 years hence, C will be 3 years older than B. Statement II: The difference between the present ages of A and C is 10 years. The present age of B is more than 18 years.
      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

      Let the present age of A be ‘x’ years Therefore, present age of B = (50 – x) years Statement I: 5 years hence, C = B + 3 So, present age of C = (50 – x + 3) = (53 – x) years So, data in statement I alone is not sufficient to answer the question. Statement II: Present age of C can be (x – 10) years or (x + 10) years So, data in statement II alone is not sufficient to answer the question. Combining statement I and II: Case I: 53 – x = x – 10 Or, 2x = 63 Or, x = 31.5 (not suitable) Case II: 53 – x = x + 10 Or, 2x = 43 Or, x = 21.5 (not suitable) No valid integer age satisfying condition Therefore, data given in both statements I and II together are not sufficient to answer the question. Hence, option d.

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