Six boxes A, B, C, D, E and F have been painted with six different colours viz., violet, indigo, blue, green, yellow and orange and arranged from left to right (not necessarily either kept or painted with the colours in the same order). Each box contains a ball of any one of the following six games: cricket, hockey, tennis, golf, football and volleyball (not necessarily in the same order). The golf ball is in violet box and is not in the box D. The box A which contains tennis ball is orange in colour and is at the extreme right. The hockey ball is neither in box D nor in box E. The box C having cricket ball is painted green. The hockey ball is neither in the box painted blue nor in the box painted yellow. The box C is fifth from right and next to box B. The box B contains volleyball. The box containing the hockey ball is between the boxes containing golf ball and volleyball. The football is in the box of which colour?

Here's a step-by-step breakdown of the logical deductions: 1. "The box A which contains tennis ball is orange in colour and is at the extreme right." This places Box A (Tennis, Orange) at Position 6 (rightmost). _ _ _ _ _ A _ _ _ _ _ Tennis _ _ _ _ _ Orange 2. "The box C is fifth from right and next to box B." Fifth from right means Position 2. So Box C is at Position 2. "Next to box B" means B is at Position 1 or 3. _ C _ _ _ A 3. "The box C having cricket ball is painted green." Box C (Cricket, Green) is at Position 2. _ C _ _ _ A _ Cricket _ _ _ Tennis _ Green _ _ _ Orange 4. "The box B contains volleyball." If B is at Position 1, then B (Volleyball) is at Position 1. If B is at Position 3, then B (Volleyball) is at Position 3. 5. "The hockey ball is neither in box D nor in box E." Since there are six boxes (A,B,C,D,E,F) and A,B,C are already assigned or partially assigned, the hockey ball must be in Box F. 6. "The box containing the hockey ball is between the boxes containing golf ball and volleyball." We know B contains Volleyball and F contains Hockey. So the sequence must be B - F - Golf or Golf - F - B. If B (Volleyball) is at Position 1, then F (Hockey) must be at Position 3 (as C is at Position 2). This places Golf at Position 4. This confirms B is at Position 1. Current arrangement: Boxes: B C F _ _ A Games: Volleyball Cricket Hockey Golf _ Tennis Colors: _ Green _ _ _ Orange 7. "The golf ball is in violet box and is not in the box D." The box at Position 4 contains Golf and is Violet. The boxes remaining for Positions 4 and 5 are D and E. Since the box at Position 4 is not D, it must be E. So, Box E (Golf, Violet) is at Position 4. This means Box D must be at Position 5. Updated arrangement: Boxes: B C F E D A Games: Volleyball Cricket Hockey Golf Football Tennis (Football is the only game left, so it's in Box D) Colors: _ Green _ Violet _ Orange 8. "The hockey ball is neither in the box painted blue nor in the box painted yellow." Hockey is in Box F (Position 3). The remaining unassigned colors are Indigo, Blue, and Yellow. Since Box F (Hockey) is neither Blue nor Yellow, it must be Indigo. Final arrangement of known facts: Position: 1 2 3 4 5 6 Box: B C F E D A Game: Volleyball Cricket Hockey Golf Football Tennis Color: _ Green Indigo Violet _ Orange The remaining colors to be assigned are Blue and Yellow. The remaining boxes to be assigned colors are Box B (Volleyball, Position 1) and Box D (Football, Position 5). Box B can be Blue or Yellow. Box D can be Blue or Yellow. The question asks for the color of the box containing football. Football is in Box D. We cannot determine definitively if Box D is Blue or Yellow. Therefore, the data are inadequate to determine the color of the box containing football. The final answer is C