CAT Quant Practice Problems

Question: \({\rm{Let }}y = \frac{1}{{2 + \frac{1}{{3 + \frac{1}{{2 + \frac{1}{{3 + ...}}}}}}}}\)

What is the value of y?

\(\frac{{\sqrt {11} + 3}}{2}\)
\(\frac{{\sqrt {11} - 3}}{2}\)
\(\frac{{\sqrt {15} + 3}}{2}\)
\(\frac{{\sqrt {15} - 3}}{2}\)
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