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# Of the 66 people in a certain auditorium, at most 6 people

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Manager
Joined: 23 Jan 2008
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Of the 66 people in a certain auditorium, at most 6 people [#permalink]  03 Feb 2008, 12:24
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Difficulty:

55% (hard)

Question Stats:

54% (01:56) correct 46% (01:24) wrong based on 68 sessions
Of the 66 people in a certain auditorium, at most 6 people have their birthdays in any one given month. Does at least one person in the auditorium have a birthday in January?

1) More of the people in the auditorium have their birthday in February than in March.
2) Five of the people in the auditorium have their birthday in March.

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Senior Manager
Joined: 20 Dec 2004
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Re: 66 ppl [#permalink]  03 Feb 2008, 12:52
My approach is to use the st.1 and st.2 and see if we can allocate a 0 to January and spread out the remaining 66 successfully. if that cannot be done then obviously someone needs to have a Jan birthday.

Using st.1 - If Jan=0, Feb=6,Mar=5, and all remainder months are 6. We will need to allocate 7 to december which violates that max allowable is 6. So St.1 is sufficient

Using st.2 - Lay it out similar to above....so it is sufficient.

I would go with D.

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Joined: 01 May 2007
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Re: 66 ppl [#permalink]  11 Mar 2008, 15:09
I'm not even sure this is a great question...It's in the OG, but really you could start off with 6 people in Jan and the question would be true without any of the statements. Poorly worded I think.
Re: 66 ppl   [#permalink] 11 Mar 2008, 15:09
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# Of the 66 people in a certain auditorium, at most 6 people

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