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# If set consists of distinct numbers such that the difference

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Manager
Joined: 02 Oct 2008
Posts: 58
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If set consists of distinct numbers such that the difference [#permalink]  31 Dec 2009, 18:51
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If set consists of distinct numbers such that the difference between any two different elements of set is an integer, how many elements does set contain?

The difference between any two different elements of set is 2.
The range of set is 2.

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient
Statement (1) by itself is sufficient. S1 says that there are only two

Ans is A.

Not clear about the approach to solve the above problem.
Senior Manager
Joined: 30 Aug 2009
Posts: 290
Location: India
Concentration: General Management
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Re: m14#18 [#permalink]  31 Dec 2009, 23:08
tania wrote:
If set consists of distinct numbers such that the difference between any two different elements of set is an integer, how many elements does set contain?

The difference between any two different elements of set is 2.
The range of set is 2.

Ans is A.

Not clear about the approach to solve the above problem.

statment 1 - we know difference b/w any 2 elements is 2 so we can have only 2 elements in the set.
lets take set as { 0,2} {2,4} { 1/2,5/2} here difference b/w the 2 elements is 2 but if we take sets as {0,2,4}
{-2,0,2} here difference b/w any 2 elements is not 2. so the et will have only 2 elements
Hence suff

statement2 - lets take set {1,2,3} here range is 2 and number of elements is 2
lets take set {0,1/2,2/3,1,2} here also range is 2 and number of elements is 5
hence insuff
Re: m14#18   [#permalink] 31 Dec 2009, 23:08
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