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| For The Mathematically Inclined |
Anil Saigal
02/10/2009
FOR STUDENTS
PROBLEM # 1
Five pumpkins are weighed two at a time in all ten sets of two. The
weights are recorded as 16, 18,19, 20, 21, 22, 23, 24, 26, and 27
pounds. All individual weights are also integers. How much does each
pumpkin weigh?
FOR GROWNUPS
PROBLEM #2
A, B, and C are three towns, each connected by a network of roads.
There are 82 ways to get from A to B, including those routes that pass
through C. There are 62 ways to get from B to C, including those routes
that pass through A. The number of ways to get from A to C, including
those ways passing through B, is less than 300. How many ways are there
to get from A to C?
Please send your solutions to anil@lokvani.com.
Use Problem Solutions M-021909 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 02/05/09PROBLEM # 1
What is the maximum number of pieces you can get by 5 cuts on a pizza?
Solution:
PROBLEM # 2
On average how often does the minute hand pass the hour hand on an ordinary clock?
Solution:
12/11th of an hour, i.e. every 1 hour 5 mins and 33 secs approx.
Congratulations to Kajal Chattopadhyay, Shailesh Goregaokar and Jaydeep Sambangi, who were the winner of the last set of puzzles
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