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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 sufficient to answer the question. There are two numbers β€˜x’ and β€˜y’. Find that whether β€˜y’ is an integer or not. Statement I: xy < (x/y) Statement II: (x + y) > (x – y)Β 
      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, Statement I: Given, xy < (x/y) Or, y2 < 1 Or, y < 1 or y > -1 So, data in statement I alone is not sufficient to answer the question. Statement II: (x + y) > (x – y) Or, 2y > 0 Or, y > 0 So, data in statement II alone is not sufficient to answer the question. Combining statement I and II: 0 < y < 1 So, y is not an integer. So, data in both statements I and II together are necessary to answer the question.

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