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. Which one of the following boxes contains the golf ball?

Here's a step-by-step breakdown: 1. **Fixed Placements:** * "The box A which contains tennis ball is orange in colour and is at the extreme right." -> Position 6: A (Tennis, Orange) * "The box C is fifth from right and next to box B." -> Fifth from right is Position 2. So, Position 2: C. Since B is next to C, and C is at Pos 2, B must be at Position 1. * "The box C having cricket ball is painted green." -> Position 2: C (Cricket, Green) * "The box B contains volleyball." -> Position 1: B (Volleyball) Current arrangement: Pos 1: B (Volleyball) Pos 2: C (Cricket, Green) Pos 3: ? Pos 4: ? Pos 5: ? Pos 6: A (Tennis, Orange) 2. **Hockey and Golf Placement:** * Remaining boxes for Positions 3, 4, 5 are D, E, F. * Remaining games are Golf, Hockey, Football. * "The box containing the hockey ball is between the boxes containing golf ball and volleyball." Since B (Volleyball) is at Position 1, the sequence must be B (Volleyball) ... Hockey box ... Golf box. This means the Hockey box must be to the right of B, and the Golf box to the right of the Hockey box. * "The hockey ball is neither in box D nor in box E." Since Hockey must be in one of D, E, F, it must be in Box F. * "The golf ball is in violet box and is not in the box D." So, Golf is not in D. 3. **Deduce Golf's Box:** * **Case 1: Hockey (F) is at Position 3.** * Pos 3: F (Hockey) * Then Golf must be at Position 4 or 5. * If Golf is at Position 4: Since Golf is not in D, Golf must be in Box E. So, Pos 4: E (Golf, Violet). This leaves Box D for Position 5. * Arrangement: B C F E D A. (Volleyball, Cricket, Hockey, Golf, Football, Tennis). This is consistent. In this case, E contains the golf ball. * **Case 2: Hockey (F) is at Position 4.** * Pos 4: F (Hockey) * Then Golf must be at Position 5. * Since Golf is not in D, Golf must be in Box E. So, Pos 5: E (Golf, Violet). This leaves Box D for Position 3. * Arrangement: B C D F E A. (Volleyball, Cricket, Football, Hockey, Golf, Tennis). This is also consistent. In this case, E contains the golf ball. * **Case 3: Hockey (F) is at Position 5.** * Pos 5: F (Hockey) * There is no position to the right of F for the Golf box (as A is at Pos 6). So, this case is not possible. In both valid scenarios (Case 1 and Case 2), Box E contains the golf ball. The final answer is B) E