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Consider a cylinder of height $h$ cms and radius $r=\frac{2}{\pi}$ cms 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 stringโ€Ÿs 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 $n$ cms, 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, in cms, is

  1. $\sqrt{2}n$
  2. $\sqrt{12}n$
  3. $n$
  4. $\sqrt{13}n$
  • ๐Ÿšฉ Edit necessary | ๐Ÿ‘ฎ Nikhil_dhama | ๐Ÿ’ฌ โ€œare options correct? ans seem to be $\sqrt{17} n$.โ€
in Quantitative Aptitude 10.7k points โ—118 โ—744 โ—833 1 flag
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