XAT 2010Quantitative AbilityProgressions and SeriesMEDIUM+1 / −0.25

Let $S_{1}, S_{2},...$ be the squares such that for each n ≥ 1, the length of the diagonal of $S_{n}$ is equal to the length of the side of $S_{n+1}$ . If the length of the side of $S_{3}$ is 4 cm, what is the length of the side of $S_{n}$ ?

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XAT 2010Quantitative AbilityProgressions and SeriesMEDIUM+1 / −0.25

Select an option to reveal the answer and explanation

Practice the full paper

Attempt XAT 2010 Question Paper with real exam interface and instant grading.

Let S1,S2,...S_{1}, S_{2},...S1​,S2​,... be the squares such that for each n ≥ 1, the length of the diagonal of SnS_{n}Sn​ is equal to the length of the side of Sn+1S_{n+1}Sn+1​. If the length of the side of S3S_{3}S3​ is 4 cm, what is the length of the side of SnS_{n}Sn​ ?