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      Question

      In a class of ‘x’ students, if a new student

      weighing 32 kg joins the class, then the average weight of the class increases by 1 kg. If the new student’s weight is 16 kg, then the average weight of the class decreases by 1 kg. Find ‘x’?
      A 6 Correct Answer Incorrect Answer
      B 7 Correct Answer Incorrect Answer
      C 5 Correct Answer Incorrect Answer
      D 8 Correct Answer Incorrect Answer
      E 9 Correct Answer Incorrect Answer

      Solution

      Number of students in the class is x.
      Let the Average weight of the class be y.
      Total weight of the class = xy
      If one student (32 kg) joins, comparing total weight of the class,
      (xy+32)/(x+1) = (y+1)
      x + y = 31 ------- (i)
      If one student (16 kg) joins, comparing total weight of the class,
      (xy + 16)/(x+1) = (y-1)
      -x + y = 17 -------- (ii)
      Solving the equations (i) & (ii) we get,
      x = 7
      Therefore the total number of students in a class is 7.

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