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# Set S contains N integers. Is S a set of distinct consecutive integers

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Senior Manager
Joined: 06 Jan 2015
Posts: 364
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Set S contains N integers. Is S a set of distinct consecutive integers [#permalink]

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17 Dec 2017, 02:44
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Difficulty:

65% (hard)

Question Stats:

39% (00:39) correct 61% (01:07) wrong based on 28 sessions

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Set S contains N integers. Is S a set of distinct consecutive integers?

(1) The range of S is N

(2) The range of S is less than N+1

Source: expertsglobal
[Reveal] Spoiler: OA

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Resource: GMATPrep RCs With Solution

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Set S contains N integers. Is S a set of distinct consecutive integers [#permalink]

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17 Dec 2017, 04:18
NandishSS wrote:
Set S contains N integers. Is S a set of distinct consecutive integers?

(1) The range of S is N

(2) The range of S is less than N+1

Source: expertsglobal

Statement 1: if $$S$$ is a set of distinct consecutive integers, then $$S ={a,a+1,a+2..........,a+(N-1)}$$, where $$a$$ is the first element of the set

Range of consecutive elements in set $$S =[a+(N-1)]-a=N-1$$

As per this statement $$N-1=N => -1=0$$, which is not possible. Hence elements in set $$S$$ are NOT consecutive. Sufficient

Statement 2: We know nothing about the elements in Set $$S$$ and as explained in Statement 1, range of consecutive elements will be $$N-1$$.

As per this statement range can be $$N$$ or $$N-1$$ or any other number. Insufficient

Option A

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Alternatively take few examples of consecutive set and test the statement. For eg. let S={1,2,3}, here N=3

Statement 1: Range of S = 3-1=2 but as per this statement range =3. hence S is not consecutive. Sufficient

Statement 2: implies Range<3+1, so range can be 3 or 2 or 1 etc. Insufficient
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Joined: 02 Sep 2009
Posts: 44600
Re: Set S contains N integers. Is S a set of distinct consecutive integers [#permalink]

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17 Dec 2017, 05:24
NandishSS wrote:
Set S contains N integers. Is S a set of distinct consecutive integers?

(1) The range of S is N

(2) The range of S is less than N+1

Source: expertsglobal

Similar question to practice: https://gmatclub.com/forum/a-list-conta ... 65873.html
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Posts: 5774
Re: Set S contains N integers. Is S a set of distinct consecutive integers [#permalink]

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17 Dec 2017, 05:45
NandishSS wrote:
Set S contains N integers. Is S a set of distinct consecutive integers?

(1) The range of S is N

(2) The range of S is less than N+1

Source: expertsglobal

Not a very good formatting of question by the source..
consecutive integers have to be distinct, so mere "Is S a set of consecutive integers?" should have been sufficient.
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Re: Set S contains N integers. Is S a set of distinct consecutive integers   [#permalink] 17 Dec 2017, 05:45
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