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For The Mathematically Inclined


Anil Saigal 03/14/2005
FOR CHILDREN
PROBLEM # 1 Each
term of a sequence, after the first, is inversely proportional to the
term preceding it. If the first two terms are 2 and 6, what is the
twelfth term? FOR GROWNUPS PROBLEM # 2 If
the probability that the Patriots will win the AFC championship next
year is p and if the probability that the Redskins will win the NFC
championship is q, what is the probability that only one of these teams
will win its respective championship? 
Please send your solutions to anil@lokvani.com.
Use Problem Solutions M032405
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.
 SOLUTIONS TO PROBLEMS ON 03/10/05
FOR CHILDREN
PROBLEM # 1 On
a certain math exam, 10% of the students got 70 points, 25% got 80
points, 20% got 85 points, 15% got 90 points, and the rest got 95
points. What is the difference between the mean and the median score on
this exam. SOLUTION 1.
FOR GROWNUPS
PROBLEM # 2 The
quadratic equation x^2+mx+n=0 has roots that are twice those of
x^2+px+m=0, and none of m,n and p is zero. What is the value of n/p. SOLUTION 8. Congratulations to Mahesh
Danke, Kosha Divitia, Chandran Elumalai, Nidhee Krishnan, Nitin Kumar,
Hareesh Mitra, Ranganath Nayak, Sarthak Pani, Preeti Rangaraj and
Sumanth Sankar, who were winners of the last set of puzzles.

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