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| For The Mathematically Inclined |
Anil Saigal
12/10/2007
FOR CHILDREN
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?
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.
Please send your solutions to anil@lokvani.com.
Use Problem Solutions M-121307
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 11/29/07
PROBLEM # 1
Determine the exact value of 1/(2+1/(3+1/(4+1/5))) as a fraction, that is, as a ratio of two integers.
Solution:
68/157.
FOR GROWNUPS
Ram has ten apples, and wants to give them to (up to) three friends. How many different ways can he do so? (Assume that the apples are all identical, but his friends are not; it is possible, for example, for him to give one friend all ten apples.)
Solution:
78. (1 way for one friend, 11 ways for 2 friends and 66 ways for 3 friends)
Congratulations to Anindya Basu, Manish Goregaokar, Shailesh Goregaokar and Niharika Yemeni, who was the winner of the last set of puzzles.
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