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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.

Use Problem Solutions M-122707 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.

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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