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# How many integers n are there such that r<n<s? 1.

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How many integers n are there such that r<n<s? 1. [#permalink]

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15 Apr 2007, 14:41
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

I know the answer is C. Why?
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15 Apr 2007, 16:11

It looks like A to me...
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15 Apr 2007, 16:15
ya no matter what s and r are, if there is a difference of 5, then 4 integers are between them

if you have 1 and 6, you have 2,3,4,5

if you have 1.9 and 6.9, you still have 2,3,4,5

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15 Apr 2007, 17:05
Tuneman wrote:
ya no matter what s and r are, if there is a difference of 5, then 4 integers are between them

if you have 1 and 6, you have 2,3,4,5

if you have 1.9 and 6.9, you still have 2,3,4,5

Agree .A is sufficient.
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15 Apr 2007, 18:21
Tuneman wrote:
ya no matter what s and r are, if there is a difference of 5, then 4 integers are between them

if you have 1 and 6, you have 2,3,4,5

if you have 1.9 and 6.9, you still have 2,3,4,5

r<n<s?
1. s-r=5

We don't know whether r, s are intergers.
if r,s are integers, e.g s=6, r=1, n could be 2,3,4,5
if r,s are NOT integers, e.g s=6.5, r=1.5, n could be 2,3,4,5,6
INSUFF

2. r and s are not integers
alone INSUFF

From 1 and 2.
s-r=5 & if r,s are NOT integers
no of integers = 5

Ans: C
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15 Apr 2007, 18:42
St:1
s-r = 5
Insufficient.
E.g If s = 6, r = 1, then s-r = 5 and there are 4 integers between s and r.

If s = 0.5, r = -4.5, then s-r = 5 , but there are 5 integers between s and r. Insufficient.

St2:
r and s are not integers. Could be any range and hence any number of integers. Insufficient.

Using st1 and st2:
We know r and s are not integers and s-r must be 5, so the number of intgers between s and r must be 5.

Ans C
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15 Apr 2007, 22:40
I got C too.

Javed

Cheers!
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15 Apr 2007, 23:08
Juaz wrote:
Tuneman wrote:
ya no matter what s and r are, if there is a difference of 5, then 4 integers are between them

if you have 1 and 6, you have 2,3,4,5

if you have 1.9 and 6.9, you still have 2,3,4,5

r<n<s?
1. s-r=5

We don't know whether r, s are intergers.
if r,s are integers, e.g s=6, r=1, n could be 2,3,4,5
if r,s are NOT integers, e.g s=6.5, r=1.5, n could be 2,3,4,5,6
INSUFF

2. r and s are not integers
alone INSUFF

From 1 and 2.
s-r=5 & if r,s are NOT integers
no of integers = 5

Ans: C

Good one. Ahhh....silly mistake on my end.
15 Apr 2007, 23:08
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# How many integers n are there such that r<n<s? 1.

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