CAT Quant Practice Problems

Question: Let S1 be a square of side a. Another square S2 is formed by joining the mid-points of the sides of S1. The same process is applied to S2 to form yet another square S3, and so on. If A1, A2, A3, … be the areas and P1, P2, P3, … be the perimeters of S1, S2, S3, …, respectively, then the ratio

\(\frac{{{p_1} + {p_2} + {p_3} + ...}}{{{A_1} + {A_2} + {A_3} + ...}}\) equals to


  1. \(\frac{{2\left( {1 + \sqrt 2 } \right)}}{a}\)
  2. \(\frac{{2\left( {2 - \sqrt 2 } \right)}}{a}\)
  3. \(\frac{{2\left( {2 + \sqrt 2 } \right)}}{a}\)
  4. \(\frac{{2\left( {1 + 2\sqrt 2 } \right)}}{a}\)

Correct Option:3

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CAT Quant Practice Problems
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