Study the following information carefully and answer the questions given below.
Six boxes – P, Q, R, S, T and U – are stacked one above the other. Each box contains a different item: Pens, Clocks, Bottles, Radios, Cups and Paints. All the information is not necessarily in the same order.

The box which contains clocks is placed three boxes below Box T. More than two boxes are placed between Box T and Box Q. The box which is placed two boxes above Box Q contains bottles. The number of boxes above the box which contains bottles is same as the number of boxes placed below Box R. Box P and Box S are placed adjacent to each other. Box S doesn’t contain bottles and pens. Box Q and Box U doesn’t contain Radios. The box which contains radios is placed immediately above the box which contains cups. Box Q doesn’t contain paints. The box which contains paints is not placed below the box which contains Cups.

Which among the following box contains the Cups?

Correct Answer/Option: The box which is placed two boxes below Box U

To find which box contains the Cups, let us analyze the clues step-by-step and construct the stack of 6 boxes from top to bottom (numbered 6 to 1, where 6 is the top-most position and 1 is the bottom-most position):

Step 1: Determine the positions of Box T, Box Q, and the box containing Bottles
- Clue: "The box which contains clocks is placed three boxes below Box T." This means if Box T is at position $x$, the clocks are at position $x-3$.
- Clue: "More than two boxes are placed between Box T and Box Q." This means there must be at least 3 boxes between Box T and Box Q. Thus, the difference between their positions is at least 4.
- Clue: "The box which is placed two boxes above Box Q contains bottles." This means the box containing bottles is at position $Q+2$.
- Since the box containing bottles is at $Q+2$ and there are only 6 positions, $Q$ must be at position 1 or 2.
If $Q=2$, then Box T must be at position 6 (since at least 3 boxes are between them). The box with clocks would be at position 3, and the box with bottles would be at $Q+2=4$.
If $Q=1$, then Box T can be at position 5 or 6.
Let's test $T=5$ and $Q=1$:
- Position of Box T = 5
- Position of Box Q = 1
- Box containing Clocks (3 boxes below T) = $5-3=2$
- Box containing Bottles (2 boxes above Q) = $1+2=3$

Step 2: Determine the position of Box R
- Clue: "The number of boxes above the box which contains bottles is same as the number of boxes placed below Box R."
- Since the box containing bottles is at position 3, the number of boxes above it (positions 4, 5, 6) is 3.
- Therefore, there must be 3 boxes below Box R, which places Box R at position 4.

Step 3: Place Box P and Box S
- Clue: "Box P and Box S are placed adjacent to each other."
- Currently, the positions occupied are 5 (T), 4 (R), 3 (Bottles), 2 (Clocks), and 1 (Q).
- The only vacant positions for the boxes are 6, 3, and 2. Since Box P and Box S must be adjacent, they must occupy positions 3 and 2. This leaves position 6 for Box U.
- Thus, the box distribution is:
Position 6: Box U
Position 5: Box T
Position 4: Box R
Position 3: Box P or Box S
Position 2: Box S or Box P
Position 1: Box Q
- Clue: "Box S doesn’t contain bottles and pens." Since position 3 contains bottles, Box S cannot be at position 3. Thus, Box P is at position 3 (containing Bottles) and Box S is at position 2 (containing Clocks). Box Q is at position 1.

Step 4: Distribute the remaining items (Radios, Cups, Paints, Pens)
- Clue: "The box which contains radios is placed immediately above the box which contains cups."
- Clue: "Box Q and Box U doesn’t contain Radios."
- The available adjacent positions for Radios and Cups are positions 5 and 4 (since position 3 has Bottles and position 2 has Clocks).
- Therefore, position 5 (Box T) contains Radios, and position 4 (Box R) contains Cups.
- Clue: "Box Q doesn’t contain paints. The box which contains paints is not placed below the box which contains Cups."
- Since Cups are at position 4, Paints must be placed at a position higher than or equal to 4. The only remaining position is position 6 (Box U), so Box U contains Paints.
- This leaves Box Q (position 1) to contain Pens.

Final Arrangement:
6. Box U - Paints
5. Box T - Radios
4. Box R - Cups
3. Box P - Bottles
2. Box S - Clocks
1. Box Q - Pens

From the final arrangement, we see that the Cups are contained in Box R (position 4).
Box R is located two boxes below Box U (position 6). Therefore, the correct option is "The box which is placed two boxes below Box U".