Step 1: Restate the analogy as a rule:
Write the analogy as Water is to P as Food is to Q, and look for a single word rule that connects Water to P so that the exact same rule, applied to Food, gives Q.
Step 2: Test each candidate rule using the four options:
Rule tried with option (A): X relieves the need called Y. Water relieves the need called Thirst, and Food relieves the need called Hunger. Applying the identical rule to both pairs gives a perfect match.
Rule tried with option (B): Water would have to relieve Drink, but Drink is not a need, it is simply another name for something you consume, so the rule fails for the left pair itself.
Rule tried with option (C): The left pair Water : Thirst still fits the rule, but the right pair Food : Satiated does not, because Satiated names a resulting state, not a need. Since the rule must work identically on both sides, this pair is rejected.
Rule tried with option (D): Neither Wet nor Critic represents a need relieved by Water or Food, Wet is a physical property and Critic is an occupation type noun unrelated to hunger or thirst, so this option fails completely.
Step 3: Elimination:
Since options (B), (C) and (D) each break the substance relieves need rule on at least one side of the analogy, they are eliminated, leaving only option (A) where the rule holds consistently on both sides.
Step 4: Final Answer:
The consistent rule confirms that P = Thirst and Q = Hunger.
\[ oxed{P = Thirst; \ Q = Hunger} \]