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For The Mathematically Inclined

Contributed by Aadhaarshila
05/13/2003

PROBLEM # 1

Three Guernsey cows and two Holstein cows give as much milk in four days as two Guernseys and four Holsteins give in 3 days. Which breed produces more milk? Guernsey or Holstein?

PROBLEM # 2

Problem - 'Broken calculator' - Every time this calculator is turned on, it shows one of the above characters. But at it seems, the characters come in a pattern, which is described above. Which character is missing? There should be one coming after the 9th character!! It is totally different from the rest of the characters. What is that?

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Please send your solutions to both problems to anil@lokvani.com.

Use "Problem Solutions M-060503" as the subject line. Please include your full name in the text of the main message. The first one to submit the right answer will be profiled in the next issue of Lokvani.

Please do not post your solution in "Post Comments". No credit will be give 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 5/08/03

PROBLEM # 1

Here's a jumbo triangle. With the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 , make all sides of the triangle equal, seventeen, then twenty. The first one is solved as a sample.

SOLUTION

6,1,9,4
4,8,3,5
5,2,7,6

PROBLEM # 2

Use the letters A, B, C, E, F, G, H. and use the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 in the problem below to solve for A, B, C, E, F, G and H. As you can see all letters will have a unique number assigned but all numbers may not have a letter associated with them.

     A H B C F
+   E B F A F
--------------------
 A G G H F E

SOLUTION

     1 4 5 7 9
+   8 5 9 1 9
--------------------
 1 0 0 4 9 8

About the Winner(s)

Anuhya Chorakavi is a fifth grader who lives in Framingham. She loves math, solving puzzles and reading books.

Shashank Mallick work as a software engineer in a CAD-CAE company. He enjoys sports, music, puzzles, and spending time with the three lovely girls in his life, his wife and two daughters.

Mukund Seshadri is a recent graduate of WPI and a member of Mensa. His thesis finds technical trading rules for stocks beating the S&P500 by atleast 2% over the last 12 years.



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