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# Are all of the numbers in a certain list of 15 numbers

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Manager
Joined: 05 Sep 2007
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Are all of the numbers in a certain list of 15 numbers [#permalink]  17 Feb 2008, 16:15
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Are all of the numbers in a certain list of 15 numbers equal?
1. the sum of all the numbers in the list is 60.
2. the sum of any 3 numbers in the list is 12.
Senior Manager
Joined: 20 Dec 2004
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Re: DS:numbers [#permalink]  17 Feb 2008, 17:55
B.

1) not sufficient - can be any number

2) sufficient by itself...for the total to be 12 for any 3 random numbers they have to be all 4s in the list.
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Senior Manager
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Re: DS:numbers [#permalink]  17 Feb 2008, 18:11
How come if 3 random numbers add upto 12, they have to 4 each - why can't they be 5, 5, 2 per say? Did i miss something?
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Re: DS:numbers [#permalink]  17 Feb 2008, 18:13
sreehari wrote:
How come if 3 random numbers add upto 12, they have to 4 each - why can't they be 5, 5, 2 per say? Did i miss something?

the sum of any 3 numbers in the list is 12.
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Senior Manager
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Re: DS:numbers [#permalink]  17 Feb 2008, 18:26
thanks neelesh... totally missed "any"
Re: DS:numbers   [#permalink] 17 Feb 2008, 18:26
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