CAT Quant Practice Problems

Question: Consider a cylinder of height h cm and radius \(r = \frac{2}{\pi }\) cm as shown in the figure (not drawn to scale). A string of a certain length, when wound on its cylindrical surface, starting at point A and ending at point B, gives a maximum of n turns (in other words, the string’s length is the minimum length required to wind n turns).

In the set-up of the previous two questions, how is h related to n


  1. \(h = \sqrt 2 {\rm{ }}n\)
  2. \(h = \sqrt {17} {\rm{ n}}\)
  3. \(h = n\)
  4. \(h = \sqrt {13} {\rm{ n}}\)

Correct Option:3

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