Opponent’s options: QUEYS 4f (18), QUERY a5 (17), TOQUE o8 (15)
Scoring options: ATARAXY o7 (25), ORYX c10 (36), ARRAY/OX setup (a6)

In Puzzle 11, the best play is YAAR a5 (7), setting up your X. If your opponent blocks RAX, you can then play TAXOR for 29, sticking them with the Q. This does slightly better than the simple out in two of ATARAXY + O plays.