Eight boxes are placed one above the other in a stack. Each box is of different colors. Four boxes are placed between White colored box and Green colored box. Box R is placed immediately below Green colored box. Three boxes are placed between Box K which is Yellow in color and Box R. Two boxes are placed between Box J which is Black in color and Box P. Orange colored box is placed immediately below red colored box but not at the bottommost position. Four boxes are placed between Box S and Box M. Box O is of blue color. Purple colored box is not placed immediately below Box M. Box M is not placed at top most position. Box N is not purple color.

Which among the following box is Red in color?

The correct option is Box N.

Let us solve this puzzle step-by-step by placing the 8 boxes (positions 1 to 8, where 8 is the topmost position and 1 is the bottommost position).

Step 1: Identify given conditions and clues

1. Total boxes = 8.
2. Four boxes are placed between the White colored box and the Green colored box.
3. Box R is placed immediately below the Green colored box.
4. Three boxes are placed between Box K (which is Yellow) and Box R.
5. Two boxes are placed between Box J (Black) and Box P.
6. The Orange colored box is placed immediately below the Red colored box, but NOT at the bottommost position (Position 1).
7. Four boxes are placed between Box S and Box M.
8. Box O is Blue in color.
9. The Purple colored box is not placed immediately below Box M.
10. Box M is not at the topmost position (Position 8).
11. Box N is not Purple in color.

Step 2: Determine positions for White, Green, and Box R

Since 4 boxes are between White and Green, and Box R is immediately below Green, Green cannot be at position 5 or lower (because 4 boxes above it would exceed 8, and having Green at 5 means White is at 0, which is invalid).
Also, since Box R is immediately below Green, Green cannot be at position 1.
Let us analyze possible positions for Green and White:

- Case 1: Green is at Position 6, Box R is at Position 5, and White is at Position 1.
- Case 2: Green is at Position 7, Box R is at Position 6, and White is at Position 2.
- Case 3: White is at Position 8, Green is at Position 3, and Box R is at Position 2.

Step 3: Test Box K (Yellow)

Clue 4 states: Three boxes are placed between Box K (Yellow) and Box R.

- In Case 1 (R at 5): K must be at Position 1. But White is already at Position 1. Contradiction!
- In Case 2 (R at 6): K must be at Position 2. But White is at Position 2. Contradiction!
- In Case 3 (R at 2): K must be at Position 6 (Yellow). This is valid!

So, we have established:

Position 8: White
Position 7:
Position 6: Box K (Yellow)
Position 5:
Position 4:
Position 3: Green
Position 2: Box R
Position 1:

Step 4: Determine positions for Box S and Box M

Four boxes are between Box S and Box M. This requires a gap of 4 positions (e.g., positions 7 and 2, or positions 6 and 1, or positions 5 and 0).
Positions 6 and 2 are occupied by K and R.
Therefore, S and M must occupy Positions 7 and 2? No, Position 2 is already occupied by Box R!
The available pair with 4 boxes between them is Position 7 and Position 2 (occupied by R, so S or M is R!), or Position 5 and Position 0 (invalid).
Thus, one of S/M must be at Position 7, and the other must be at Position 2 (Box R).

Since Box M cannot be at the topmost position (Position 8 is already White, but M also cannot be at 8, and if 7 were M, it's not top, but let's check):
If Box M is at Position 7, then Box R (Position 2) is Box S. So Box R = S.
If Box S is at Position 7, then Box M is Box R (Position 2).
Let us check: "Purple colored box is not placed immediately below Box M".
Also, "Four boxes are placed between Box S and Box M". So one is at 7 and the other is at 2 (Box R).

Step 5: Place Red and Orange boxes

Clue 6: Orange is immediately below Red, but Orange is NOT at position 1.
The consecutive empty color slots must be found.
Positions currently known:
8: White
6: Yellow (Box K)
3: Green
Orange must be below Red. The available consecutive positions for Red and Orange are (5, 4) or (4, 3 - occupied by Green, no) or (7, 6 - occupied, no).
So, Position 5 must be Red, and Position 4 must be Orange.

Step 6: Determine remaining Box names and Colors

Box O is Blue. The available positions for Box O (Blue) are Position 1 or Position 7.
Position 1 cannot be Orange (clue 6), and Position 1 has no color yet.
Position 7 has no color yet.
Positions for Box J (Black) and Box P (2 boxes between them):
Available box slots are 1, 3, 4, 5, 7.
If J is at 4 (Orange) or 5 (Red):
- If J is at 4, 2 boxes between J and P means P is at 1 or 7.
- If J is at 5, P is at 2 (R) or 8 (White).

Let's refine:
Box J is Black in color. So Box J must occupy a position that receives the Black color.
Position 8 = White
Position 6 = Yellow
Position 5 = Red (Box N)
Position 4 = Orange
Position 3 = Green
Position 2 = Purple (Box R / M)
Position 1 = Blue (Box O)

Placing Box J (Black) at Position 7 (Black) puts 2 boxes between J (7) and P (4).
Then Box P is at Position 4 (Orange).
Box O is Blue at Position 1.
Box N is at Position 5 (Red).

Thus, the complete box arrangement from top (8) to bottom (1) is:

Position 8: Box S / White
Position 7: Box J / Black
Position 6: Box K / Yellow
Position 5: Box N / Red
Position 4: Box P / Orange
Position 3: Box M / Green
Position 2: Box R / Purple
Position 1: Box O / Blue

Therefore, Box N is Red in color.