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.

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

----------------------------------------------------------------------------------------------------------------------

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

Use "Problem Solutions M-050803" 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.

---------------------------------------------------------------------------------------------------------------------

SOLUTIONS TO PROBLEMS ON 4/24/03

PROBLEM # 1

Three tennis balls snugly fit in a cylindrical can. The balls touch the side, top and bottom of the can. What is the ratio of the volume of the balls to the volume of the space in the can that is around the tennis balls.

SOLUTION

2:1

PROBLEM # 2

How many rectangles and squares are there in a standard 8x8 chessboard? Please include all possible rectangles and squares, not just the smallest ones. Also, try to think of a shortcut way to do this - don't just manually count all possibilities.

SOLUTION

1296

About the Winner(s)

Amit Dhuleshia works as a software engineer at Oracle. He enjoys playing basketball, finance, going out, and sleeping.

Mayank Gupta works in the field of Internet Security in Singapore. He is a graduate of MIT under the Singapore-MIT Alliance.

|