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| For The Mathematically Inclined |
Anil Saigal
03/02/2009
FOR STUDENTS PROBLEM # 1 What is the volume of an tetrahedron with edge length of 1? FOR GROWNUPS PROBLEM #2 At McDonalds you can order Chicken McNuggets in boxes of 6, 9, and 20. What is the largest number such that you can not order any combination of the above to achieve exactly the number you want? Please send your solutions to anil@lokvani.com. ------------------------------------------------------------------------------------------------------------- Solution: Solution: Congratulations to Shailesh Goregaokar, who was the winner of the last set of puzzles.
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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?
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?
There are 46 ways to get from A to C including the ways passing through B.
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