Step 1: Rank the volatiles by smell and airway tolerance. Pungency drives coughing, breath holding and laryngospasm on induction.
Step 2: Sevoflurane and halothane are sweet and well tolerated, which is exactly why sevoflurane is used to gas-induce children.
Step 3: At the other extreme, desflurane has a sharp, ethereal pungency and the highest airway irritancy of the group, making it unsuitable for inhalational induction.
Step 4: Maximum respiratory irritation therefore points to desflurane.
\[\boxed{\text{Desflurane}}\]