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Intern  Joined: 21 Oct 2011
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If a, b, c are three numbers on the number line shown above  [#permalink]

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Difficulty:   65% (hard)

Question Stats: 60% (02:05) correct 40% (01:51) wrong based on 523 sessions

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Attachment: Number Line.png [ 8.29 KiB | Viewed 16908 times ]
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

Originally posted by yogeshwar007 on 25 Aug 2012, 02:49.
Last edited by Bunuel on 21 Jan 2013, 03:27, edited 3 times in total.
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Re: If a, b, c are three numbers on the number line shown above  [#permalink]

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4 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.

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

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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.

Attachments NumberLine.jpg [ 6.58 KiB | Viewed 14667 times ]

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GMAT 1: 670 Q49 V31 GMAT 2: 710 Q50 V35 Re: If a, b, c are three numbers on the number line shown above  [#permalink]

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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.

Bunuel I also interpret that from diagram a<b but in the official explanation they took a=0 and b =-2 isnt it strange?
Attachments a.jpg [ 52.14 KiB | Viewed 14224 times ]

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

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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.
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GMAT 1: 670 Q49 V31 GMAT 2: 710 Q50 V35 Re: If a, b, c are three numbers on the number line shown above  [#permalink]

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

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gurpreetsingh wrote:
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.

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.
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Re: if a,b and c are three numbers on the number line shown abov  [#permalink]

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1
fozzzy wrote:
<-------a-----------b-------------->

if a,b and c are three numbers on the number line shown above, is C between a and b?

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

Attachments untitled.JPG [ 12.66 KiB | Viewed 13686 times ]

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

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Any tips on how to pick smart numbers for this question?
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Re: If a, b, c are three numbers on the number line shown above  [#permalink]

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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

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

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jlgdr wrote:
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

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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I did it this way

Note: One can trust the relative position of graphs/lines in DS as per OG.

Statement 1:

b<0. Clearly Insufficient

Statement 2:

a-b>c --> a>b+c

Insufficient again

Both (1) and (2) together

Let's pick some numbers.

Since b<0 and b>a, then let's say a=-2 and b=-1

Now then replacing we have that c<-1.
Thus 'c' could be either between 'a' and 'b' or to the left of 'a'

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

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_________________ Re: If a, b, c are three numbers on the number line shown above   [#permalink] 02 Oct 2018, 06:58
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