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      Question

      How many boxes are kept between box X and the box which

      contains Pencil? Study the given information and answer the questions:        Eight boxes Q, R, S, T, U, V, W and X are placed one above the other but not necessarily in the same order. These boxes contain different stationery items Eraser, Sharpner, Stapler, Push – pin, Fountain pen, Paper clip, Pencil and Colour box but not necessarily in the same order. There are two boxes between Box Q and the box which contains Pencil. Box T is just above the box which contains Sharpner. Two boxes are between boxes S and R, which is below box S. Neither box S nor the box which contains Eraser in bottom four. Box U contains Fountain pen but is not in the bottommost. Box R does not contain Stapler or Colour box. Box S is just above the box which contains Push – pin. The bottommost box does not contain Stapler or Sharpner. Three boxes are between the boxes which contains Eraser and Pencil. Box T is below Box R but not just below. Box R does not contain Pencil. Three boxes are kept between box V and the box which contains Eraser. Not more than two boxes are kept between W and X, which is below box W. 
      A One Correct Answer Incorrect Answer
      B Two Correct Answer Incorrect Answer
      C Three Correct Answer Incorrect Answer
      D Four Correct Answer Incorrect Answer
      E None Correct Answer Incorrect Answer

      Solution

      There are two boxes between Box Q and the box which contains Pencil. Three boxes are between the boxes which contains Eraser and Pencil. The box which contains Eraser is not in bottom four. Case1- box Q is above box which contains Pencil and Case2- box Q is below box which contains Pencil.         (iii)- Box T is just above the box which contains Sharpner. Box T is below Box R but not just below. Case1 (b) and Case2 (b) gets eliminated. The bottommost box does not contain Sharpner. Box U contains Fountain pen but is not the bottommost. Box R does not contain Stapler or Colour box. The bottommost box does not contain Stapler. Three boxes are kept between box V and the box which contains Eraser.   Case 1(a) –      (iv)- Not more than two boxes are kept between Box W and X, which is below box W. So, case2 (a) gets eliminated. The final arrangement is:                 

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