Below are some alternatives which may be used to improve the sentence by replacing the word in bold/ bracketed . You may choose option 1, 2, or 3. In case 'No Improvement' is needed, choose 4.
Emperor Akbar was in the habit of putting riddles and puzzles to his courtiers.
1
asking riddles and puzzles
2
telling riddles and puzzles
3
enquiring riddles and puzzles
4
No improvement