Answered by Shaykh Faraz Rabbani
Question: Are crosswords, Sudoku puzzles, etc. permissible? Such puzzles may be on the computer, where the program or website may have background music, and may involve conjecture and guessing on the part of the user. They may also be initially produced using random generation techniques. Can such puzzles be bought, acquired, and played?
Answer: In the name of Allah, Most Merciful.
Walaikum assalam wa rahmatullahi wa barakatuh,
I pray this finds you in the best of health and spirits.
Puzzles and crosswords of permissible content are permitted to make and play. The incidental presence of background music should be avoided (just turn off the sound), but it doesn’t legally make the game itself impermissible (haram) to purchase or play.
And Allah alone gives success.