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      Question

      The question consists of two statements numbered β€œI

      and II” given below it. You have to decide whether the data provided in the statements are suicient to answer the question. There is a three-digit number represented as β€˜xyz’, where z = 4. Find the number β€˜xyz’. Statement I: The number β€˜xyz’ is divisible by both 7 and 12. Statement II: The sum of digits β€˜x’ and β€˜y’ is equal to 5.
      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 given in both statements I and II together are not sufficient to answer the question. Correct Answer Incorrect Answer
      D The data in both statements I and II together are necessary to answer the question. Correct Answer Incorrect Answer
      E The data either in statement I alone or in statement II alone are sufficient to answer the question. Correct Answer Incorrect Answer

      Solution

      ATQ, Statement I: Since the number is divisible by 12 and 7, it must be a multiple of (12 Γ— 7) = 84. The numbers satisfying this condition are 504 and 924. Therefore, the data in Statement I alone is not sufficient to answer the question. Statement II: The sum of β€˜x’ and β€˜y’ is 5. Hence, the data in Statement II alone is not sufficient to answer the question. Combining Statements I and II: The number β€˜xyz’ is 504. Thus, the data in both statements together is necessary to answer the question.

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