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# Six countries in a certain region sent a total of 75

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Manager
Joined: 07 Dec 2006
Posts: 166
Six countries in a certain region sent a total of 75 [#permalink]

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28 Jan 2008, 16:26
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Six countries in a certain region sent a total of 75 representatives to an international congress, and no 2 countries sent the same number of representatives of the 6 countries, if country A sent the second greates number of representatives did country A send at least 10 representatives?

1) One of 6 countries sent 41 representatives to the congress.

2) Contry A sent fewer than 12 representatives to the congress.

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Senior Manager
Joined: 02 Aug 2007
Posts: 344
Location: Greater New York City area
Schools: Tuck, Ross (R1), Duke, Tepper, ISB (R2), Kenan Flagler (R2)
Re: GMATprep : DS set [#permalink]

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28 Jan 2008, 17:43
1) First country sent 41 out of 75 representatives. Out of the remaining 34, the distribution could be [9, 8, 7 , 6 , 4] or [10, 9, 8, 4, 3] for the other 5 countries. So in first distribution, the second highest is 9 and in second it is 10. So NOT SUFF.

2) If country A sent fewer than 12, then lets say it sent 11. So the split can be {41, 11, 10, 9, 3,1}. Note, here I have considered that the first country sent the same number of people 41.
. So in this it is second highest and atleast 10.

Now lets say, A is 9. Then the split is {41,9,8,7,6,5} . In this case, A is second highest but less than 10. NOT SUFF.

Combining 1 and 2, NOT SUFF since we seen in 2 by considering 41. Answer E.

What is the OA ?
Manager
Joined: 14 Jun 2007
Posts: 158
Location: Vienna, Austria
Re: GMATprep : DS set [#permalink]

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02 Apr 2008, 07:45
guys, anyone knows the oa to that question?
SVP
Joined: 29 Mar 2007
Posts: 2491
Re: GMATprep : DS set [#permalink]

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02 Apr 2008, 09:11
GHIBI wrote:
Six countries in a certain region sent a total of 75 representatives to an international congress, and no 2 countries sent the same number of representatives of the 6 countries, if country A sent the second greates number of representatives did country A send at least 10 representatives?

1) One of 6 countries sent 41 representatives to the congress.

2) Contry A sent fewer than 12 representatives to the congress.

I say E.

Test the extrems.

1: 75-41=34. Make A have 9, we have then have the rest as, 8,7,6,4. NO

Make A 11, so we have 23 left now. Now just try 10,9, 3, and 1. YES

2: can think of many possibilities.

Together Just use the examples from S1.
Senior Manager
Joined: 21 Apr 2008
Posts: 456
Schools: Kellogg, MIT, Michigan, Berkeley, Marshall, Mellon
Re: GMATprep : DS set [#permalink]

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05 Oct 2008, 04:46
Hi guys,

OA: E

Source: GMAT softprep

Cheers

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Re: GMATprep : DS set   [#permalink] 05 Oct 2008, 04:46
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