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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 suicient to answer the question. There is a three-digit number represented as ‘xyz’, where z = 4. Find the number ‘xyz’. Statement I: The number ‘xyz’ is divisible by both 7 and 12. Statement II: The sum of digits ‘x’ and ‘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 × 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 ‘x’ and ‘y’ is 5. Hence, the data in Statement II alone is not sufficient to answer the question. Combining Statements I and II: The number ‘xyz’ is 504. Thus, the data in both statements together is necessary to answer the question.

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