CAT Quantitative Ability Questions | CAT Mensuration questions

CAT/2004

Question . 37

Let C be a circle with center P0 and AB be a diameter of C. Suppose P1 is the mid-point of the line segment P0 B, P2 is the mid-point of the line segment P1 B and so on. Let C1 , C2 , C3 , ............. be circles with diameters P0 P1 , P1 P2 , P2 P3 , ............... respectively. Suppose the circles C1 , C2 , C3 , ............. are all shaded. The ratio of the area of the unshaded portion of C to that of the original circle C is

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Method of solving this CAT Quantitative Ability Question from Mensuration question