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 placed at the bottom most position?

The correct option is Box R.

Let us solve this puzzle step-by-step to determine the complete arrangement of the eight boxes from top (position 8) to bottom (position 1).

Step 1: Analyze the given conditions regarding White, Green, Box R, and Box K (Yellow).

1. Four boxes are placed between the White colored box and the Green colored box.

2. Box R is placed immediately below the Green colored box.

3. Three boxes are placed between Box K (which is Yellow in color) and Box R.

Let us test the possible positions for the White and Green boxes:

Case A: If White is at position 8, then Green is at position 3 (with 4 boxes in between: 7, 6, 5, 4).

Then Box R is immediately below Green, placing Box R at position 2.

Three boxes are placed between Box K (Yellow) and Box R (position 2). Counting upwards: 3, 4, 5, so Box K would be at position 6.

Now let's check the bottommost box: position 1 remains to be filled, but Box R is at position 2, not bottommost.

Case B: If Green is at position 2, Box R is immediately below it at position 1 (the bottommost position).

Let's check if this fits all conditions:

- Green is at position 2.

- Box R is at position 1 (immediately below Green).

- Four boxes between Green (2) and White means White is at position 7 (boxes between are 3, 4, 5, 6).

- Three boxes between Box R (1) and Box K (Yellow) means Box K (Yellow) is at position 5 (boxes between are 2, 3, 4).

Step 2: Place the remaining boxes and colors based on the conditions.

Current positions established:

Position 8: ?

Position 7: White box

Position 6: ?

Position 5: Box K (Yellow)

Position 4: ?

Position 3: ?

Position 2: Green box

Position 1: Box R

Now consider the rule for Box S and Box M:

- Four boxes are placed between Box S and Box M.

- Box M is not placed at the top-most position (position 8).

The available positions for S and M with 4 boxes between them in an 8-position stack are (8 and 3) or (7 and 2).

Since positions 7 and 2 are already occupied by White and Green (and Green is occupied by Box R below it), S and M must occupy positions 8 and 3.

Since Box M cannot be at position 8, Box S is at position 8 and Box M is at position 3.

Now consider Box J (Black) and Box P:

- Two boxes are placed between Box J (Black) and Box P.

Available box positions remaining: 6, 4.

If Box J is at position 7? No, position 7 is White, but Box J is Black. So position 7 cannot be Box J.

Looking at position 4 and position 7: two boxes between them are 5 and 6. Position 7 is White, but Box J is Black, so Box P can be at position 7 (White) and Box J (Black) at position 4.

Thus, Box P is at position 7 (White) and Box J is at position 4 (Black).

Position 6 is filled by Box O, which is Blue in color.

Position 8 is Box S (Red), position 7 is Box P (White), position 6 is Box O (Blue), position 5 is Box K (Yellow), position 4 is Box J (Black), position 3 is Box M (Orange), position 2 is Box N (Green), position 1 is Box R (Purple).

Step 3: Conclusion

Box R is placed at position 1, which is the bottommost position of the stack.