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| For The Mathematically Inclined |
Anil Saigal
04/01/2005
FOR CHILDREN FOR GROWNUPS PROBLEM # 2 ------------------------------------------------------------------------------------------------------------- SOLUTIONS TO PROBLEMS ON 03/24/05 SOLUTION FOR GROWNUPS
PROBLEM # 1
Of
the 200 seniors in a high school, exactly 40 are in the band, 60 are in
the orchestra and 10 are in both. How many students are neither in the
band nor in the orchestra?
For how many positive integers m<=100 is (m-5)(m-45) positive?
Please send your solutions to anil@lokvani.com.
Use Problem Solutions M-040705
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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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?
6.
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?
p(1-q) + q(1-p).
Congratulations to Nitin Kumar, Mahesh Murali, Pooja Mutalik, Sarthak Pani and Tammisetti, who were winners of the last set of puzzles.
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