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# How many integers 'n' exist such that r < n < s ? 1) s

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Director
Joined: 13 Mar 2007
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Schools: MIT Sloan
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How many integers 'n' exist such that r < n < s ? 1) s [#permalink]

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26 Jun 2007, 23:05
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How many integers 'n' exist such that r < n < s ?

1) s - r = 5

2) s and r are not integers

Seems simple, but I do not agree with the OA.
Director
Joined: 12 Jun 2006
Posts: 532
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26 Jun 2007, 23:46
How many integers 'n' exist such that r < n < s ?

1) s - r = 5

2) s and r are not integers

Seems simple, but I do not agree with the OA.
A?

1) sufficient. whether whole #s or not there will be 4 integers b/w r and s
2) insufficient. this tells us nothing.
Senior Manager
Joined: 04 Jun 2007
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26 Jun 2007, 23:48
How many integers 'n' exist such that r < n < s ?

1) s - r = 5

2) s and r are not integers

Seems simple, but I do not agree with the OA.

Stmt 1 is INSUFFICIENT as we do not know if s and r are integers or not.
e.g. if s=5, r=0, then there can be 4 different values of n - 1,2,3,4
e.g. if s=5.5, r=0.5, then there can be 5 different values of n - 1,2,3,4,5

Stmt 2 is alone INSUFFICIENT since we have no idea of s and r.

From stmt 1 and 2, n has to be always 5. So, SUFFICIENT.

For me, answer should be C.
Re: DS   [#permalink] 26 Jun 2007, 23:48
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