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CAT-2003-Previous Years Paper

Question
8 out of 50
 

Consider a cylinder of height h cm and radius r = 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



A
B

C n cm
D

Ans. B

The four faces through which a string is passing can be shown as

Therefore, the length of the string in each face

Therefore, the length of the string through four faces =

CAT-2003-Previous Years Paper Flashcard List

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