Which of the following statements is/are correct ?

Correct Option: (b) F is painted indigo

Using the determined arrangement of boxes from left to right: 1. Box D (position 1) contains football. 2. Box C (position 2) contains cricket and is green. 3. Box B (position 3) contains volleyball. 4. Box F (position 4) contains hockey. 5. Box E (position 5) contains golf and is violet. 6. Box A (position 6) contains tennis and is orange. For colours: Violet, green, and orange are assigned to E, C, and A. The remaining colours are indigo, blue, and yellow. The hockey box (Box F) is neither blue nor yellow, so Box F must be painted indigo. This leaves yellow and blue for Box D and Box B, which cannot be uniquely determined. Looking at the options, F is painted indigo is confirmed and absolutely true. Therefore, only option (b) is definitely correct.