For The Mathematically Inclined


Anil Saigal 12/21/2007
FOR CHILDREN PROBLEM # 1 Define the operation * by a*b = (a+b) b. What is (3*5)  (5*3)?
FOR GROWNUPS PROBLEM # 2 Find the sum of the values of x such that cos^{3}3x + cos^{3}5x =8 cos^{3}4x cos^{3}x where x is measured in degrees and 100 < x < 200.
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 Problem Solutions 12/13/07
PROBLEM # 1 In
quadrilateral ABCD, angle b is a right angle, diagonal AC is
perpendicular to CD. AB = 18, BC = 21 and CD = 14. What is the
perimeter of ABCD? Solution: 84.
Congratulations to Amisha Sisodiya, who was the winner of the last set of puzzles.

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