# 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).

The same string, when wound on the exterior four walls of a cube of side n cm, starting at point C and ending at point D, can give exactly one turn (see figure, not drawn to scale). The length of the string is

 $\sqrt 2 {\rm{ }}n{\rm{ \;cm}}$ $\sqrt {17} {\rm{ }}n{\rm{ \;cm}}$ $n{\rm{\; cm}}$ $\sqrt {13} {\rm{ }}n{\rm{\; cm}}$

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CAT Quant Practice Problems
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