Study the following information carefully and answer the questions given below. Eight boxes are kept in eight different shelves such that shelves are marked as 1 to 8 from bottom to top respectively. Each box contains different items i.e., Utensil, Pencil, Pen, Clothes, Marker, Book, Bottle and Toffees but not necessarily in the same order. Box P is kept at an even numbered shelf and above box Q. Two boxes are kept between box P and box Q. The box which contains marker kept four boxes above box W. Box Q doesn’t contain marker. Box W is kept at an odd numbered shelf. The number of boxes kept above the box which contains marker is one less than the number of boxes kept below the box which contains pencil. More than two boxes are kept between box P and box T which is kept just below the box which contains bottle. Box R and box U kept at an adjacent shelf. Three boxes are kept between the box which contains pen and box R. Box W and the box which contains pen are not kept adjacent to each other. Box S is kept below the box which contains book. Three boxes are kept between box V and the box which contains clothes. Box T doesn’t contain utensil.

**Question:** Which box contains the Marker?

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Study the following information carefully and answer the questions given below. Eight boxes are kept in eight different shelves such that shelves are marked as 1 to 8 from bottom to top respectively. Each box contains different items i.e., Utensil, Pencil, Pen, Clothes, Marker, Book, Bottle and Toffees but not necessarily in the same order. Box P is kept at an even numbered shelf and above box Q. Two boxes are kept between box P and box Q. The box which contains marker kept four boxes above box W. Box Q doesn’t contain marker. Box W is kept at an odd numbered shelf. The number of boxes kept above the box which contains marker is one less than the number of boxes kept below the box which contains pencil. More than two boxes are kept between box P and box T which is kept just below the box which contains bottle. Box R and box U kept at an adjacent shelf. Three boxes are kept between the box which contains pen and box R. Box W and the box which contains pen are not kept adjacent to each other. Box S is kept below the box which contains book. Three boxes are kept between box V and the box which contains clothes. Box T doesn’t contain utensil.

**Question:** Which box contains the Marker?

Accepted Answer

**Solution:**

1. Shelves are numbered 1 (bottom) to 8 (top).

2. Box P is on an even shelf and above box Q, with exactly two boxes between them. Possible pairs for (Q, P) are (1,4), (2,5), (3,6), (4,7), (5,8). Since P is even, P could be 4, 6, or 8. Q must be below P with two boxes in between.

3. The Marker box is four shelves above box W. Since W is on an odd shelf, possible W positions are 1, 3, 5, or 7. Marker is then at W + 4 shelves.

4. Box Q does not contain Marker.

5. Number of boxes above Marker = number of boxes below Pencil - 1.

6. More than two boxes are between P and T; T is immediately below the Bottle box.

7. Boxes R and U are adjacent.

8. Three boxes are between Pen box and R.

9. W and Pen box are not adjacent.

10. S is below Book box.

11. Three boxes are between V and Clothes box.

12. T does not contain Utensil.

**Stepwise deduction:**

- Assume W is on shelf 3 (odd), then Marker is on shelf 7.
- Since Marker is on shelf 7, number of boxes above Marker = 8 - 7 = 1.
- Number of boxes below Pencil = number of boxes above Marker + 1 = 2.
- So Pencil is on shelf 3 (since below Pencil = 2 means Pencil is on shelf 3).
- W is on shelf 3, so W cannot be Pencil (since W is not Pencil).
- P is on an even shelf above Q with two boxes between. Try P=6, Q=3 (W is at 3, so Q=3 is possible).
- P=6 (even), Q=3 (odd), two boxes between (4 and 5).
- T is more than two boxes away from P=6, so T can be shelf 1 or 2.
- T is immediately below Bottle, so Bottle is at T+1.
- R and U are adjacent. Try R=2, U=1.
- Pen and R have three boxes between them. If R=2, Pen can be at shelf 6 (2 + 3 + 1 = 6).
- Pen is at shelf 6, which is P's shelf. So Pen is in box P.
- W and Pen are not adjacent: W=3, Pen=6, difference is 3 shelves, so condition satisfied.
- S is below Book. So Book is above S.
- V and Clothes have three boxes between them.
- T does not contain Utensil.

From the above, Marker is on shelf 7. The box on shelf 7 is V (since P=6, Q=3, R=2, U=1, T=1 or 2, W=3, S and V remain for shelves 5 and 7).

Therefore, Marker is in box V.

**Answer:** Box V

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