CAT Quantitative Ability Questions | CAT Mensuration questions

CAT/2003

Question . 51

In the figure below (not drawn to scale), rectangle ABCD is inscribed in the circle with center at O. The length of side AB is greater than that of side BC. The ratio of the area of the circle to the area of the rectangle ABCD is π : √3 . The line segment DE intersects AB at E such that ∠ODC = ∠ADE. What is the ratio AE : AD?

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Method of solving this CAT Quantitative Ability Question from Mensuration question