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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 cos33x + cos35x =8 cos34x cos3x where x is measured in degrees and 100 < x < 200.

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Please send your solutions to anil@lokvani.com.

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If you need clarification on any problem, please contact anil@lokvani.com.

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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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