CAT Quant Practice Problems

Question: There is a circle of radius 1 cm. Each member of a sequence of regular polygons S1(n), n = 4, 5, 6, …, where n is the number of sides of the polygon, is circumscribing the circle: and each member of the sequence of regular polygons S2(n), n = 4, 5, 6, … where n is the number of sides of the polygon, is inscribed in the circle. Let L1(n) and L2(n) denote the perimeters of the corresponding polygons of S1(n) and S2(n), then\(\frac{{\left\{ {L1\left( {13} \right) + 2\pi } \right\}}}{{L2\left( {17} \right)}}\) is


  1. greater than\(\frac{\pi }{4}\) and less than 1
  2. greater than 1 and less than 2
  3. greater than 2
  4. less than\(\frac{\pi }{4}\)

Correct Option:3

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