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| For The Mathematically Inclined |
Anil Saigal
07/06/2009
PROBLEM # 1
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?
PROBLEM #2
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).
Please send your solutions to anil@lokvani.com.
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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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Problem Solutions 06/25/09PROBLEM # 1
What is the mean distance between two random points on a line of unit length?
ROBLEM #2
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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