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      Question

      What is the present age of mother? I. The

      difference between the ages of mother and daughter is 45 years. II. The present age of daughter is 1/4th of the present age of the mother. III. The sum of the ages of mother and daughter is 75 years. Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in all the three statements are sufficient to answer the question. Read all the statements and give answer –
      A Any two of them Correct Answer Incorrect Answer
      B Only I and III Correct Answer Incorrect Answer
      C Only I and II Correct Answer Incorrect Answer
      D All I, II and III Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      From (II), Let the mother’s age be x and daughter’s age be (x )/4. From (I) &(II), x - (x )/4 = 45 (3x )/4 = 45 ∴x = 60 years. From (II) & (III), x + (x )/4 = 75 (5x )/4 = 75 ∴x = 60 years. From (I) & (III), x-y = 45 and x+y = 75  By solving will get the value of x i.e. the answer.

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