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# Set S consists of distinct numbers such that the difference

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Set S consists of distinct numbers such that the difference [#permalink]

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14 Aug 2007, 22:55
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Set S consists of distinct numbers such that the difference between any 2 different elements of set S is an integer
How many elements does set S contain ?

1 . The difference between any 2 different elements of the set S is 2.

2. The range of Set S is 2.
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Joined: 06 Aug 2007
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14 Aug 2007, 23:11
empty_spaces wrote:
Set S consists of distinct numbers such that the difference between any 2 different elements of set S is an integer
How many elements does set S contain ?

1 . The difference between any 2 different elements of the set S is 2.

2. The range of Set S is 2.

C. if both are combined we can say that there are 2 elements in the set.
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Joined: 28 Dec 2005
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15 Aug 2007, 05:05
Im leaning to C as well.

Statement 1 tells us difference btwn each value in set, but no clue as to how many elements

Statement 2 says range is 2. So we can have a set like (0,1,2) or (1,3), etc ... no definitive answer to how many elements in the set

Combining the two statements, we can conclude that there are only 2 elements in the set
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15 Aug 2007, 06:42
empty_spaces wrote:
Set S consists of distinct numbers such that the difference between any 2 different elements of set S is an integer
How many elements does set S contain ?

1 . The difference between any 2 different elements of the set S is 2.

2. The range of Set S is 2.

I think it's A.

(1) If the difference between any 2 elements is 2, then we can conclude that there are only 2 elements in set S.
We have S = {2,4} or {5,7}, but cannot have {0,2,4} because 0 and 4 would give diff of 4.
SUFFICIENT.

(2) We can have {0,1,2] or {0,2}
INSUFFICIENT
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Joined: 12 Jul 2007
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15 Aug 2007, 09:10
bkk145 wrote:
empty_spaces wrote:
Set S consists of distinct numbers such that the difference between any 2 different elements of set S is an integer
How many elements does set S contain ?

1 . The difference between any 2 different elements of the set S is 2.

2. The range of Set S is 2.

I think it's A.

(1) If the difference between any 2 elements is 2, then we can conclude that there are only 2 elements in set S.
We have S = {2,4} or {5,7}, but cannot have {0,2,4} because 0 and 4 would give diff of 4.
SUFFICIENT.

(2) We can have {0,1,2] or {0,2}
INSUFFICIENT

You're back on your A game this morning

Good catch. I'll go with A as well for this very reason.
Re: DS....statistics   [#permalink] 15 Aug 2007, 09:10
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