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| For The Mathematically Inclined |
Anil Saigal
07/06/2009
PROBLEM # 1 Please send your solutions to anil@lokvani.com. ------------------------------------------------------------------------------------------------------------- PROBLEM # 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.
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).
Use Problem Solutions M-070909 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.
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