CAT Quantitative Ability Questions | CAT Geometry questions

CAT/2003

Question . 83

In the figure (not drawn to scale) given below, P is a point on AB such that AP : PB = 4 : 3. PQ is parallel to AC and QD is parallel to CP. In ΔARC, ∠ARC = 90°, and in ΔPQS, ∠PSQ = 90°. The length of QS is 6 cms. What is ratio AP : PD?

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Method of solving this CAT Quantitative Ability Question from Geometry question