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For The Mathematically Inclined

Anil Saigal
01/29/2009

FOR STUDENTS

PROBLEM # 1
What is the maximum number of pieces you can get by 5 cuts on a pizza?

FOR GROWNUPS

PROBLEM #2
On average how often does the minute hand pass the hour hand on an ordinary clock?

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-020509 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 1/2/09

PROBLEM # 1
In a rectangle, the ratio of the diagonal to the perimeter is 5 to 14 while the area is 432. Calculate the length of the diagonal.

Solution: 
30.
 
PROBLEM # 2

If 6p = 3, calculate the value of:

(logp 36p) (log3 p).

Solution:
2.

Congratulations to Chandran Elumalai, Suhas Joglekar, Shailesh Goregaokar, Ranganath Nayak and R.K. Sambangi who were the winner of the last set of puzzles



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