As many boxes are kept above box A as below ____. Study the following information carefully and answer the questions given below:

Six paint boxes are kept one above another in the form of the stack. Each box has different colours paint- Pink, Blue, Red, White, Yellow and Grey but not in same order as given.

Yellow coloured box is kept three boxes above box B. Box D is kept adjacent to box B. As many boxes are kept above box D as below red coloured box. Box E is kept immediately below red coloured box. Box B is not red in colour. More than one box is kept between box E and the grey coloured box. Box D is kept above grey coloured box. Box A is kept above the white coloured box but below box C. Box B is not kept below white coloured box. More than one box is kept between box F and blue coloured box. Pink coloured box doesn’t keep adjacent to blue coloured box.

Correct Answer: The correct answer is The pink coloured box.

Step-by-Step Explanation:

Let's analyze the given clues step-by-step to determine the order and colors of the six boxes from top to bottom (Position 6 to Position 1, where 6 is top and 1 is bottom).

Step 1: Determine the positions of Box B, Yellow box, and Box D.

1. "Yellow coloured box is kept three boxes above box B."
This means there are 2 boxes between Yellow and Box B:
[Yellow] _ _ [Box B]

2. "Box D is kept adjacent to box B."
So Box D can be either immediately above or immediately below Box B.

3. "Box B is not kept below white coloured box."
4. "Box A is kept above the white coloured box but below box C."
So we have C ... A ... White from top to bottom. Since White is below A, and B is not below White, Box B must be above the White box.

Step 2: Placing the boxes into positions (6 to 1).

Let's test the possible positions for Box B and Yellow:

Case 1: Box B is at Position 2, Yellow is at Position 5.
If Box B is at 2, Box D could be at 3 or 1.
- If Box D is at 3: "As many boxes are kept above box D as below red coloured box."
Above Box D (pos 3) there are 3 boxes (4, 5, 6). So Red must have 3 boxes below it, placing Red at Position 4.
- "Box E is kept immediately below red coloured box." -> E is at Position 3. But Box D is already at Position 3! (Contradiction)

- If Box D is at 1:
Above Box D (pos 1) there are 5 boxes (2, 3, 4, 5, 6). So Red must have 5 boxes below it, placing Red at Position 6.
Then Box E is immediately below Red, so E is at Position 5.
However, Yellow is at Position 5! So this leads to a contradiction.

Case 2: Box B is at Position 3, Yellow is at Position 6.
Box D can be at Position 4 or Position 2.

Let's check Box D at Position 4:
- Above Box D (pos 4), there are 2 boxes (5, 6). So Red has 2 boxes below it, placing Red at Position 3. But Position 3 is Box B, and the clue states "Box B is not red in colour." (Contradiction)

Let's check Box D at Position 2:
- Above Box D (pos 2), there are 4 boxes (3, 4, 5, 6). So Red has 4 boxes below it, placing Red at Position 5.
- "Box E is kept immediately below red coloured box." -> Box E is at Position 4.

Let's verify this configuration of box positions and colors so far (from Top 6 to Bottom 1):
Position 6: Yellow
Position 5: Red
Position 4: Box E
Position 3: Box B
Position 2: Box D
Position 1: ?

Step 3: Determine the placement of remaining box letters (A, C, F).

1. We have positions 6, 1 remaining for letters C, A, F, or others.
The remaining positions to assign letters are 6 and 1.
"Box A is kept above the white coloured box but below box C."
Since Box E is at 4, B is at 3, D is at 2:
Box C must be at Position 6.
Box A must be at Position 5.
The remaining box letter F must be at Position 1.

So the box letters from Top to Bottom are:
6: Box C (Yellow)
5: Box A (Red)
4: Box E
3: Box B
2: Box D
1: Box F

Step 4: Determine the remaining box colors (White, Grey, Pink, Blue).

1. "Box A is kept above the white coloured box." -> White must be below Box A (pos 5).
2. "Box B is not kept below white coloured box." -> So White cannot be at positions 1 or 2 (which are below B). Thus, White box must be at Position 3 (Box B) or Position 4 (Box E). But wait, Box B is at 3, so if B is not below White, White can be at Position 4, 3, etc. Let's check: If White is at Position 3 (Box B), B is not below White. If White is at Position 4, B (pos 3) would be below White, which violates "Box B is not kept below white coloured box". Therefore, Box B (Position 3) is White!

3. "More than one box is kept between box E and the grey coloured box."
Box E is at Position 4. Grey cannot be at 4, 3, or 2. Thus, Grey must be at Position 1 (Box F).

4. "Box D is kept above grey coloured box." -> Position 2 (Box D) > Position 1 (Box F = Grey). This is satisfied!

5. Now we have two remaining colors: Pink and Blue, for Position 4 (Box E) and Position 2 (Box D).
6. "More than one box is kept between box F and blue coloured box."
Box F is at Position 1. So Blue cannot be at Position 2 (Box D) because there would be 0 boxes between them. Therefore, Blue must be at Position 4 (Box E).

7. This leaves Pink for Position 2 (Box D).

Final Arrangement (From Top to Bottom):

Position 6: Box C — Yellow
Position 5: Box A — Red
Position 4: Box E — Blue
Position 3: Box B — White
Position 2: Box D — Pink
Position 1: Box F — Grey

Answering the Question:

"As many boxes are kept above box A as below ____."

Number of boxes above Box A (Position 5) = 1 (only Box C is above it).
We need a box that has exactly 1 box below it.
Position 2 has exactly 1 box (Position 1) below it.
Position 2 is Box D, which is The pink coloured box.