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Problem Solving (PS) | Re: Each of the 39 points is placed either inside or on the surface of a

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Bunuel wrote:

Competition Mode Question



Each of the 39 points is placed either inside or on the surface of a perfect sphere. If 60% or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?

A. 7
B. 11
C. 13
D. 23
E. 38



Since 60% of 39 is 0.6 x 39 = 23.4, we see that fewer than “23.4” points can touch the surface of the sphere. In other words, at most 23 points can be on the surface of the
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