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# How many integers are there between, but not including

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Intern
Joined: 23 Oct 2008
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How many integers are there between, but not including [#permalink]  13 Nov 2008, 02:01
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80% (01:35) correct 20% (01:00) wrong based on 45 sessions
How many integers are there between, but not including, integers r and s ?

(1) s - r = 10
(2) There are 9 integers between, but not including, r + 1 and s + 1.
[Reveal] Spoiler: OA
Manager
Joined: 30 Sep 2008
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Re: Property of Numbers [#permalink]  13 Nov 2008, 02:05
(1) s - r = 10 => the number of the integer between but not include = 9
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Re: Property of Numbers [#permalink]  13 Nov 2008, 12:15
yhc25 wrote:
I am confused by the explanation of OG(11th ed) to Q61 in Data Sufficiency on p282.

Q60.
How many integers are there between, but not including, integers r and s?
(1) s - r = 10
(2) There are 9 integers between, but not including r + 1 and s + 1.

I understand that (2) is sufficient, but I don't know why (1) is also sufficient.

The question doesn't say anything about whether all integers between r and s are different or whether they can be repeated. If they can be repeated, there can be more than 9 integers within the range of r and s.

We have selected 2 numbers at random r and s and question clearly says integers between, hence the question of repeating does not arise.
Re: Property of Numbers   [#permalink] 13 Nov 2008, 12:15
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# How many integers are there between, but not including

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