Three-set Venn diagrams: maximise or minimise a region

CAT has tested this idea 4 times across 4 papers, from 2020 to 2025. Solve one, and the others are the same method with different numbers or wording, which is why repeated concepts are the most efficient thing to practise.

Question	What it asks	Answer
CAT 2022 Slot 1 · QA Q17	max minus min of students liking all three drinks	C
CAT 2025 Slot 3 · QA Q14	maximum physics-but-not-maths with pairwise relations	B
CAT 2020 Slot 2 · QA Q13	at least two subjects each; smallest chemistry count	C
CAT 2024 Slot 3 · QA Q5	girls' share range; min and max doing both sports	A

Part of Set Theory (9 questions since 2017).