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#1 2013-01-01 06:41:59

scientia
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More clock problems

Inspired by http://www.mathisfunforum.com/viewtopic.php?id=18730.

Q1 (easy): How many times in a 12-hour period do the hour and minute hands point in opposite directions?

 

#2 2013-01-01 10:14:46

bobbym
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Re: More clock problems

Hi;


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
 

#3 2013-01-01 12:55:50

scientia
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Re: More clock problems




Q2 (trickier): Let θ be an arbitrary angle greater than 0° and smaller than 180°. How many times in a 12-hour period do the two hands of a clock make an angle of θ between themselves?

 

#4 2013-01-02 01:03:51

bobbym
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Re: More clock problems

Hi scientia;

I will work on that one as soon as I get done with the easy stuff first.


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
 

#5 2013-01-02 01:44:27

scientia
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#6 2013-01-02 01:52:22

bobbym
Administrator

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Re: More clock problems

Hi;


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
 

#8 2013-01-02 02:06:34

bobbym
Administrator

Online

Re: More clock problems

Hi;

Happy New Year!


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
 

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