Triangles with a common height: areas proportional to bases

CAT has tested this idea 4 times across 4 papers, from 2021 to 2023. 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 2023 Slot 1 · QA Q19	areas ABP, ABQ, ABC in AP; length PQ	2
CAT 2023 Slot 2 · QA Q17	areas ABP, APQ, AQCD in GP; BP:PQ:QC	C
CAT 2021 Slot 2 · QA Q11	AD:BD and AE:CE; area of ABC	30
CAT 2022 Slot 2 · QA Q21	ADC half of ABD in equilateral triangle; length AD	D

Part of Geometry (65 questions since 2017).