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For The Mathematically Inclined

Anil Saigal
07/31/2012

PROBLEM # 1
Find the x intercept of the graph of the equation 2x - 4y = 9.

PROBLEM # 2
If, in the triangle ABC, angle BAO = angle OAC = 20°, angle ACO = 10°,and angle OCB = 30°, then what is angle OBC ?


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

Use Problem Solutions M-080212 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 07/19/12

PROBLEM #1
Player A has one more coin than player B.  Both players throw all of their coins simultaneously and observe the number that come up heads.  Assuming all the coins are fair, what is the probability that A obtains more heads than B? 


SOLUTION 1

 ½  

PROBLEM #2
Two students play a game based on the total roll of two standard dice.  Student A says that a 12 will be rolled first.  Student B says that two consecutive 7s will be rolled first.  The students keep rolling until one of them wins.  What is the probability that A will win?

SOLUTION 2
   7/13 

Congratulations to Kishore Balsara and Suhas Joglekar, who were the winners of the last set of puzzles..



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