# 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

## CAT Quant Questions with Video Solutions

CAT Quant Practice Problems