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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?

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-032405 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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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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