How many integers n are there such that r<n<s? 1) : Quant Question Archive [LOCKED]
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# How many integers n are there such that r<n<s? 1)

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Manager
Joined: 09 Sep 2004
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How many integers n are there such that r<n<s? 1) [#permalink]

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30 Mar 2007, 12:57
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

How many integers n are there such that r<n<s?

1) s-r=5

2) r and s are not integers

Pls. explain
Manager
Joined: 11 Mar 2007
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30 Mar 2007, 13:08
I'll go with C...

From statement (1)...

If s=7 & r=2, n could be 6, 5, 4, 3...4 integers...
If s=7.2 & r= 2.2, n could be 7, 6, 5, 4, 3...5 integers...
Not sufficient

From statement (2)...

If s=9.9 & r=1.1...n could be 9,8,7,6,5,4,3,2...8 integers
If s=1.1 & r=0.9...n could be 1...1 integer
Not sufficient

Together...

Statement 1 tells us the range is 5...
Statement 2 tells us s & r are decimals, fractions, etc...
As long as the range is 5, the fraction or decimal for r and s must be equal...therefore, there will always be 5 integers between r & s...

Did I get it correct?
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30 Mar 2007, 13:15
C for me too.

Statement I looked deceptively sufficient until I read Statement II.

I plugged in numbers too like mavery.
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30 Mar 2007, 13:20
I agree vik, had statement 2 not been there, I probably never would have considered decimals or fractions...so much of what the GMAT asks about is integers, it's easy to get conditioned to forget about real #'s...
Manager
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30 Mar 2007, 13:23
Thanks guys! Yep the answer is C
Manager
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30 Mar 2007, 13:28
mavery wrote:
I agree vik, had statement 2 not been there, I probably never would have considered decimals or fractions...so much of what the GMAT asks about is integers, it's easy to get conditioned to forget about real #'s...

and more so in this question since it starts out by saying n is an integer so the integer status of r & s can to be taken for granted by many.

I think this is a good warm-up question.
30 Mar 2007, 13:28
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