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# How many integers are there between, but not including,

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Manager
Joined: 25 Dec 2010
Posts: 81

Kudos [?]: 107 [0], given: 2

How many integers are there between, but not including, [#permalink]

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09 Sep 2011, 06:32
00:00

Difficulty:

35% (medium)

Question Stats:

69% (00:23) correct 31% (01:16) wrong based on 16 sessions

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How many integers are there between, but not including, integers a and b ?

(1) b - a = 8

(2) There are 7 integers between, but not including, a - 1 and b - 1.
[Reveal] Spoiler: OA

Last edited by shashankp27 on 09 Sep 2011, 08:50, edited 1 time in total.

Kudos [?]: 107 [0], given: 2

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 1970

Kudos [?]: 2006 [0], given: 376

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09 Sep 2011, 06:41
shashankp27 wrote:
How many integers are there between, but not including, integers a and b ?

(1) b - a = 8

(2) There are 7 integers between, but not including, a - 1 and b - 1.

Sol:

We know that both a and b are integers.

(1) b-a=8
The numbers of integers between two integers not including the extremes will be:
b-a-1=8-1=7
Sufficient.

(2)b-1-(a-1)-1=7
b-a-1=7
Sufficient.

Ans: "D"
_________________

Kudos [?]: 2006 [0], given: 376

Manager
Joined: 25 Dec 2010
Posts: 81

Kudos [?]: 107 [0], given: 2

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09 Sep 2011, 08:24
fluke wrote:
shashankp27 wrote:
How many integers are there between, but not including, integers a and b ?

(1) b - a = 8

(2) There are 7 integers between, but not including, a - 1 and b - 1.

Sol:

We know that both a and b are integers.

(1) b-a=8
The numbers of integers between two integers not including the extremes will be:
b-a-1=8-1=7
Sufficient.

(2)b-1-(a-1)-1=7
b-a-1=7
Sufficient.

Ans: "D"

Is it not possible that integers might repeat in between a and b? Based on this thought , i chose E .

Kudos [?]: 107 [0], given: 2

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 1970

Kudos [?]: 2006 [1], given: 376

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09 Sep 2011, 08:43
1
KUDOS
shashankp27 wrote:
Is it not possible that integers might repeat in between a and b? Based on this thought , i chose E .

For this question,

"How many integers are there between"

is interpreted as

"How many different integers are there between"

What you said might be true for few of the sets questions. Here, a and b are merely two integers on a number line.
_________________

Kudos [?]: 2006 [1], given: 376

Manager
Joined: 25 Dec 2010
Posts: 81

Kudos [?]: 107 [0], given: 2

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09 Sep 2011, 08:49
fluke wrote:
shashankp27 wrote:
Is it not possible that integers might repeat in between a and b? Based on this thought , i chose E .

For this question,

"How many integers are there between"

is interpreted as

"How many different integers are there between"

What you said might be true for few of the sets questions. Here, a and b are merely two integers on a number line.

Thanks , will keep a note of this one.

Kudos [?]: 107 [0], given: 2

Re: Number of integers   [#permalink] 09 Sep 2011, 08:49
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# How many integers are there between, but not including,

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