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If a, b, c are three numbers on the number line shown above , is c between a and b.

Probably the best way to solve this problem is to pick some smart numbers. Notice that from the diagram we have that \(a<b\).

(1) b <0. Clearly insufficient since we know nothing about c.

(2) a-b>c. If \(a=-10\) and \(b=-1\), then \(-10-(-1)=-9>c\). Now, is \(c=-9.5\), then the answer is YES but if \(c=-100\), then the answer is NO. Not sufficient.

(1)+(2) Example from (2) is still valid, so even when we consider the two statements together we cannot answer the question. Not sufficient.

Re: If a, b, c are three numbers on the number line shown above [#permalink]

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25 Aug 2012, 04:18

3

This post received KUDOS

yogeshwar007 wrote:

Attachment:

The attachment Number Line.png is no longer available

If a, b, c are three numbers on the number line shown above , is c between a and b.

(1) b <0 (2) a-b>c

For (1) and (2): From (2), we know that \(0>a-b>c\) and from (1) that \(b<0.\) Place \(a,b\) and \(a-b\) on the number line (see the attached drawing). You can see that \(c\) can be between \(a\) and \(a-b\) (which means that \(c\) is between \(a\) and \(b\)) or on the left of \(a\) (meaning \(c\) is not between and \(b\)). Not sufficient.

Answer E.

Attachments

NumberLine.jpg [ 6.58 KiB | Viewed 9192 times ]

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PhD in Applied Mathematics Love GMAT Quant questions and running.

Re: If a, b, c are three numbers on the number line shown above [#permalink]

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19 Oct 2012, 02:08

Bunuel wrote:

If a, b, c are three numbers on the number line shown above , is c between a and b.

Probably the best way to solve this problem is to pick some smart numbers. Notice that from the diagram we have that \(a<b\).

(1) b <0. Clearly insufficient since we know nothing about c.

(2) a-b>c. If \(a=-10\) and \(b=-1\), then \(-10-(-1)=-9>c\). Now, is \(c=-9.5\), then the answer is YES but if \(c=-100\), then the answer is NO. Not sufficient.

(1)+(2) Example from (2) is still valid, so even when we consider the two statements together we cannot answer the question. Not sufficient.

Answer: E.

Bunuel I also interpret that from diagram a<b but in the official explanation they took a=0 and b =-2 isnt it strange?

Re: If a, b, c are three numbers on the number line shown above [#permalink]

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19 Oct 2012, 10:44

Hi Gurpreet, in your screenshot I dont see the line segment where points 'A' and 'B' are marked like in the original question. In the original question the line segment is given with the points positioned in it. So that makes a difference. These questions are similar, not identical.

Re: If a, b, c are three numbers on the number line shown above [#permalink]

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19 Oct 2012, 11:44

1022lapog wrote:

Hi Gurpreet, in your screenshot I dont see the line segment where points 'A' and 'B' are marked like in the original question. In the original question the line segment is given with the points positioned in it. So that makes a difference. These questions are similar, not identical.

I have not posted the real question. I have just posted the explanation. And the question is exactly same.
_________________

If a, b, c are three numbers on the number line shown above , is c between a and b.

Probably the best way to solve this problem is to pick some smart numbers. Notice that from the diagram we have that \(a<b\).

(1) b <0. Clearly insufficient since we know nothing about c.

(2) a-b>c. If \(a=-10\) and \(b=-1\), then \(-10-(-1)=-9>c\). Now, is \(c=-9.5\), then the answer is YES but if \(c=-100\), then the answer is NO. Not sufficient.

(1)+(2) Example from (2) is still valid, so even when we consider the two statements together we cannot answer the question. Not sufficient.

Answer: E.

Bunuel I also interpret that from diagram a<b but in the official explanation they took a=0 and b =-2 isnt it strange?

Taking into consideration the diagram in the question, it's not strange it's just wrong.
_________________

Re: If a, b, c are three numbers on the number line shown above [#permalink]

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18 Apr 2014, 07:52

I have a question here if I may

Should we assume that a,b are given in order, that is as shown in the number line? I understood that one should trust the order of points shown either on number lines or graphs according to GMAT

Should we assume that a,b are given in order, that is as shown in the number line? I understood that one should trust the order of points shown either on number lines or graphs according to GMAT

Please confirm Thanks! Cheers J

Yes, from the diagram we can derive that a<b.
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Re: If a, b, c are three numbers on the number line shown above [#permalink]

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29 Jun 2015, 02:28

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If a, b, c are three numbers on the number line shown above [#permalink]

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09 Sep 2016, 04:18

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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