Wednesday, November 18, 2009

PS 74





There are cogs around the circumference of a wheel and each cog is X centimeter wide with a space of X centimeter between consecutive cogs, as shown above. How many cogs of this size, with the same space between any two consecutive cogs, fit on a wheel with diameter 6 centimeters?
(A) 96
(B) 64
(C) 48
(D) 32
(E) 24

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