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).

What is the vertical spacing between the two consecutive turns?


  1. \(\frac{h}{n}cm\)
  2. \(\frac{h}{{\sqrt n }}cm\)
  3. \(\frac{h}{{{n^2}}}cm\)
  4. Cannot be determined

Correct Option:1

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