a. Quantitative Ability

grandmother’s age

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  • #2896
    administration
    Keymaster

      Q. A grandmother’s age is in between 50-70 year. She had some son, each son had as many son as he had brothers.Grandmother’s age was as many grandson in family. Find the grandmother’s age?

      A)52 B)55 C) 56 D)59

      #3013
      administration
      Keymaster

        Let grandmother has x sons

        so each son has x-1 brothers and hence x-1 grandsons.

        so total number of grandsons = x(x-1)

         

        also since grandmother’s age is in between 50-60 .

        so 50< x(x-1) <60 which is satisfied by x=8  and no other natural number
        Hence grandmother’s age = 8×7 = 56

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