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For The Mathematically Inclined


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PROBLEM # 1
One out of 27 otherwise identical balls is overweight. How can it be identified after 3 weighings?

PROBLEM #2
Town A and town B are 99 km apart. There are 98 km posts between them. On each post is the distance to A and the distance to B. On how many posts are only 2 different digits used? (for example, the post that says 'A 33, B 66' only uses 2 digits).

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Please send your solutions to mr.asaigal@gmail.com.

Use Problem Solutions M-020311 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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Problems from 01/20/11

PROBLEM # 1
The area of the wall you are going to paint is 50 feet square. If the width is half the height what are the dimensions of the wall?

SOLUTION 1
5x10.



PROBLEM #2

Give two rectangles where the perimeter of the first is larger than the second but it has a smaller area?

SOLUTION 2
1x10 and 3x5.

Congratulations to Aseem Chandawarkar, Udbhav Chitta, Akshay Gowrishankar, Varun Lahori, Nupur Parikh, Shikhar Sinha and Geetha SS, who were winners of the last set of puzzles.



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