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# 6 countries sent a total of 75 representatives to a conf. No

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Joined: 18 Feb 2005
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6 countries sent a total of 75 representatives to a conf. No [#permalink]  20 Nov 2005, 05:35
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6 countries sent a total of 75 representatives to a conf. No two countries sent the same no. of reps. Of 6 countries, if country A sent the 2nd greatest no of reps, did Country A send at least 10 reps?
1. One of the 6 countries sent 41 reps
2. Country A sent fewer than 12 reps
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Joined: 24 Sep 2005
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Re: OG DS Diff one [#permalink]  20 Nov 2005, 18:37
njss750 wrote:
6 countries sent a total of 75 representatives to a conf. No two countries sent the same no. of reps. Of 6 countries, if country A sent the 2nd greatest no of reps, did Country A send at least 10 reps?
1. One of the 6 countries sent 41 reps
2. Country A sent fewer than 12 reps

1. [That country must be the one with the greatest number of reps because if another one with more reps ( ex: 42) will add up a total number of reps of 83 (>75)]
The rest of reps is 75-41= 34
In case : 5 other countries have no of reps like this :
9 ,8 ,7 ,6 ,4 . A has 9 <10
In case : 10, 8, 7, 6, 3: A has at least 10 reps.
--> insuff

2. refer to examples in stmt 1 ----> insuff
1 and 2. refer to examples in stmt 1 ---> insuff
E it is.
Re: OG DS Diff one   [#permalink] 20 Nov 2005, 18:37
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