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What’s the least number?


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22 replies to this topic

#1 TrollMan

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Posted 19 January 2012 - 10:55 PM

There were 100 people present at a baseball-card show:

59 were men
72 were football- and baseball-card collectors
81 were college graduates
89 were right-handed

What is the least number of men who were both football- and baseball-car collectors and right-handed college graduates?

Show your reasoning ^_^
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#2 IQ154

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Posted 19 January 2012 - 11:38 PM

There were 100 people present at a baseball-card show:

59 were men
72 were football- and baseball-card collectors
81 were college graduates
89 were right-handed

What is the least number of men who were both football- and baseball-car collectors and right-handed college graduates?

Show your reasoning ^_^

Am I missing something here? Isn't this simple arithmetic (deduction actually)? It's 31, right? I didn't show my reasoning because for some reason I think I've reasoned incorrectly. That is a reasonable assumption based on reasonable doubt. Come on, let's be reasonable, if for no other reason than ... that's it, it is unreasonable to go on with these puns (i.e. no rhyme nor reason).
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#3 IQ154

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Posted 19 January 2012 - 11:43 PM

:o Oops, I just voted this down by mistake. Sorry Trollman. It was a slip of the click. :blink:
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#4 sditty

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Posted 20 January 2012 - 12:19 AM

Spoiler for Final answer

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#5 SeaCalMaster

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Posted 20 January 2012 - 12:29 AM

This looks suspiciously like homework...
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#6 TrollMan

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Posted 20 January 2012 - 12:59 AM

well, IQ154, with a name like mine who wouldnt downrate me :D

Homework?
Are you saying you didnt enjoy this puzzle!?


sditty, good job. :thumbsup:

Edited by TrollMan, 20 January 2012 - 01:00 AM.

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#7 mukulc

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Posted 20 January 2012 - 05:57 AM

There were 100 people present at a baseball-card show:

59 were men
72 were football- and baseball-card collectors
81 were college graduates
89 were right-handed

What is the least number of men who were both football- and baseball-car collectors and right-handed college graduates?

Show your reasoning ^_^

There are 41 women. Assuming all women are part of all groups. The least number of men that satisfy all the criteria is min of ((72-41), (81-41),(89-41)). Which makes it 31 men who were both football- and baseball-car collectors and right-handed college graduates.
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#8 bhramarraj

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Posted 20 January 2012 - 07:53 AM

Spoiler for Least no. of Men



Edited by bhramarraj, 20 January 2012 - 07:57 AM.

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#9 hhh3

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Posted 20 January 2012 - 08:00 AM

Spoiler for my go...

Edited by hhh3, 20 January 2012 - 08:00 AM.

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alWaYs gaMe!!!

#10 Dej Mar

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Posted 20 January 2012 - 08:07 AM

Spoiler for

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