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| For The Mathematically Inclined |
Anil Saigal
12/10/2007
FOR CHILDREN PROBLEM # 1 FOR GROWNUPS PROBLEM # 2 Please send your solutions to anil@lokvani.com. ------------------------------------------------------------------------------------------------------------- Problem Solutions 11/29/07 PROBLEM # 1 Solution: Solution: Congratulations to Anindya Basu, Manish Goregaokar, Shailesh Goregaokar and Niharika Yemeni, who was the winner of the last set of puzzles.
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?
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.
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.
Determine the exact value of 1/(2+1/(3+1/(4+1/5))) as a fraction, that is, as a ratio of two integers.
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.)
78. (1 way for one friend, 11 ways for 2 friends and 66 ways for 3 friends)
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