CAT 2018 Progression Question (Hard)

Question

Let x, y, z be three positive real numbers in a geometric progression such that x y z. If 5x, 16y, and 12z are in an arithmetic progression then the common ratio of the geometric progression is

Accepted Answer

Step 1 Let , , where , Then Final Answer The common ratio is

CAT 2018

Quantitative

Progression

Hard

Let x, y, z be three positive real numbers in a geometric progression such that x < y < z. If 5x, 16y, and 12z are in an arithmetic progression then the common ratio of the geometric progression is

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