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For The Mathematically Inclined

Anil Saigal

A bartender has a three pint glass and a five pint glass. A customer walks in and orders four pints of coke. Without a measuring cup but with an unlimited supply of coke how does he get four pints in either glass?

Let x be in radians with 0<x<pi/2. If sin(2sin(x)) = cos(2cos(x)), then tan(x) + cot(x) can be written as a / (b - pi^c) where a, b, and c are positive integers. Compute the sum (a+b+c).


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Problem Solutions 06/25/09


What is the mean distance between two random points on a line of unit length?


What is the mean distance between two random points in a unit square?

Congratulations to Aseem Chandawarkar and Ranganath Nayak, who were the winner of the last set of puzzles.

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