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

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SVP
Joined: 30 Mar 2006
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How many integers n are there such that r < n < s? (1) [#permalink]  17 Jun 2006, 10:14
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How many integers n are there such that
r < n < s?
(1) s â€“ r = 5
(2) r and s are not integers.
VP
Joined: 21 Sep 2003
Posts: 1066
Location: USA
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C?

1. s-r = 5
s = 7, r =2
=> n = 3,4,5,6 --> 4 such possibilites
s = 7.5, r = 2.5
=> n = 3,4,5,6,7 --> 5 such possibilities
INSUFF.

2. r & s integers. No relationship specified. INSUFF.

Combine. SUFF. n will have 5 values
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Joined: 06 May 2006
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C.

#1. s - r = 5

s = 6, r = 1 => four integers in b/w
s = -1, r = -6 => four integers in b/w
s = 6.5, r = 1.5 => five integers in b/w {2, 3, 4, 5, 6}
Insufficient

#2. r and s are not integers.
Insufficient

Combining #1 and #2 makes it 5 integers. Sufficient.

Messed up the first post... edited now.
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