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 ?

The correct option is E.

Let us analyze the clues step-by-step to arrange the six boxes (A, B, C, D, E, and F) from left to right in positions 1 to 6 (where 1 is the leftmost position and 6 is the rightmost position).

Step 1: Determine the positions of Box A and Box C
- "The box A which contains tennis ball is orange in colour and is at the extreme right." This means Position 6 is occupied by Box A (Tennis, Orange).
- "The box C is fifth from right." Counting from the right (6th is 1st from right, 5th is 2nd from right, 4th is 3rd from right, 3rd is 4th from right, and 2nd is 5th from right), Box C is at Position 2. We are also given that Box C has the cricket ball and is painted green.

Step 2: Determine the position of Box B and Volleyball
- "Box C is next to box B. The box B contains volleyball." Since Box C is at Position 2, Box B could be at Position 1 or Position 3.
- "The box containing the hockey ball is between the boxes containing golf ball and volleyball." This means Volleyball, Hockey, and Golf must be in three consecutive positions (Volleyball - Hockey - Golf or Golf - Hockey - Volleyball).
- If Box B (Volleyball) were at Position 1, the box next to it (Position 2) is Box C, which already contains Cricket. Therefore, the hockey ball cannot be at Position 2. Thus, Box B (Volleyball) must be at Position 3.

Step 3: Place Hockey and Golf
- Since Volleyball is at Position 3 and Hockey is between Volleyball and Golf, the hockey ball must be at Position 4, and the golf ball must be at Position 5.

Step 4: Identify the boxes for each position
- We currently have the following arrangement:
Position 1: [Unknown Box]
Position 2: Box C (Cricket, Green)
Position 3: Box B (Volleyball)
Position 4: [Unknown Box] (Hockey)
Position 5: [Unknown Box] (Golf, Violet)
Position 6: Box A (Tennis, Orange)
- The remaining boxes to place are D, E, and F.
- "The hockey ball (Position 4) is neither in box D nor in box E." This means Position 4 must be Box F.
- "The golf ball (Position 5) is not in the box D." Since D cannot be at Position 5, Box D must be at Position 1.
- This leaves Box E to occupy Position 5.

Therefore, Box E contains the golf ball.