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# The point A, B, C, and D are on the number line, not necessa

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Manager
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The point A, B, C, and D are on the number line, not necessa [#permalink]  17 Nov 2005, 06:25
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The point A, B, C, and D are on the number line, not necessarily in that order. If the distance between A and B is 18 and the distance between C and D is 8, what is the distance between B and D?

(1) The distance between C and A is the same as the distance between C and B.
(2) A is to the left of D on the number line.
[Reveal] Spoiler: OA

Last edited by Bunuel on 27 May 2014, 06:40, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
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Re: DS: number line [#permalink]  17 Nov 2005, 13:43
HIMALAYA wrote:
C. 9

I got C as well but bd = 17

from statement 1) CA = CB = 9 but we have no idea where D is located

from statmetn 2 we know that A is left of D. again this is not sufficient.

if we put them together, we get BD = BC + CD = 9 + 8 = 17.

so answer is C.
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[#permalink]  17 Nov 2005, 18:02
Why couldn't it be E?

Since the points are not in any order...

A and B are 18 apart. C is smack in the middle, and D is 8 from the middle, but couldn't it be on either side? so it could be 1 away from D and also 17 away from D, depending on whether C or D is larger, which I don't think it indicates.

Let me know if I'm overlooking something here. I've been on a roll of careless errors, so I could be wrong big time.
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Re: DS: number line [#permalink]  17 Nov 2005, 18:08
nakib77 wrote:
HIMALAYA wrote:
C. 9

I got C as well but bd = 17
from statement 1) CA = CB = 9 but we have no idea where D is located
from statmetn 2 we know that A is left of D. again this is not sufficient.
if we put them together, we get BD = BC + CD = 9 + 8 = 17.
so answer is C.

hey ram.... ......
let me change the OA because i assumed CD= 18. it should be E. because D can in between A and C and C and B.
if it is between A and C, BD=17
if it is between B and C, BD=1

so we donot know....E
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[#permalink]  17 Nov 2005, 18:29
(a) is not sufficient. B and D could be 1, or could be 17.
(b) is not sufficient as you can't tell where B is positioned.

Using both, we have a,b,c,d in the following order: b,c,d,a and the distance between b and d would be 9+8 = 17
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[#permalink]  17 Nov 2005, 21:07
one more E

Point A,B,C and D are on a number line but not in that order. If distance between A and B is 18 and distance between C and D is 8, what is the distance between B and D?

(a) Distance between C and A is equal to distance between C and B
as this tell us C is in the center of A and B its equidistant from both

but no information about D

if we assume that A is at 0
B at 18
C at 9
then D can be at 17 or at 1 so Insuff

(b) A is left of D on the number line.

does not provide any information about the location of B and D

In suff

taking together

sill the these assumption satisfy both the condition
if we assume that A is at 0
B at 18
C at 9
then D can be at 17 or at 1 so Insuff

but gives different value of distance between B and D

hence E
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The points A, B, C and D are on a number line, not [#permalink]  02 Sep 2009, 01:55
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The points A, B, C and D are on a number line, not necessarily in this order. If the distance between A and B is 18 and the distance betwen C and D is 8, what is the distance between B and D?

1. The distance between C and A is the same as the distance between C and B.
2. A is to the left of D on the number line.
[Reveal] Spoiler:
E
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Re: points A,B,C,D on a number line [#permalink]  02 Sep 2009, 02:03
1)insuff,
this says AC=BC=9
2)insuff,
we do not know whether B is left to A or right to A.
Together
insuff. We know BA, BC, AC, CD or do not know BD.
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Re: points A,B,C,D on a number line [#permalink]  02 Sep 2009, 16:10
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Re: Points on a line [#permalink]  12 Dec 2011, 17:57
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ABCD can be arranged in any order on the number line, the question stem does not has enough information to rephrase. So, lets move to statements.

1. C is between A and B. There are four sequences possible here: ACDB, ADCB, BCDA, and BDCA. All cases has different distances (2 pairs) between B and D. INSUFFICIENT
2. A is to the left of D. Where is D w.r.t B? INSUFFICIENT

Together, we have ACDB or ADCB as the sequence, both with different distances between B and D. INSUFFICIENT.

E.
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Re: Points on a line [#permalink]  14 Dec 2011, 05:43
If you draw a number line and plot points ABCD on it, then you will realise that -

1) B can be between A and C
2) C can be between A and B

The above 2 variations is sufficient to prove that the answer is E.
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Re: Point A,B,C and D are on a number line but not in that [#permalink]  10 Oct 2013, 22:26
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Point A,B,C and D are on a number line but not in that order. If distance between A and B is 18 and distance between C and D is 8, what is the distance between B and D?

(a) Distance between C and A is equal to distance between C and B
(b) A is left of D on the number line.

CHECK attached file.
Attachments

solution101.docx [22.32 KiB]

Senior Manager
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Re: The point A, B, C, and D are on the number line, not necessa [#permalink]  06 Dec 2013, 11:16
The point A, B, C, and D are on the number line, not necessarily in the order. If the distance between A and B is 18 and the distance between C and D is 8, what is the distance between B and D?

(1) The distance between C and A is the same as the distance between C and B.
(2) A is to the left of D on the number line.

Here is my take.

(1) we know that CA=CB and that the distance between A and B = 18 so A is at 0, C is at 9 and B is at 18 with CA=CB=9. Because C is in the middle, D has to lie somewhere between A and B, 8 units away, specifically at 1 or 17 (9-8 or 9+8) The difference between B and D, therefore, could be 18-17 or 18-1. Insufficient.

(2) This tells us very little, especially considering that the stem gives us no order in which A,B,C,D can be placed. A could be at 1 and D at 2 or D at 1000. Insufficient.

(1+2) (2), when taken into consideration with (1) provides us no new information. From (1) we already know that D lies to the right of A. All we know is that it could be 1 away from A or 17 away from A.

Insufficient, E
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Re: The point A, B, C, and D are on the number line, not necessa [#permalink]  01 Aug 2014, 03:47
Given the logic necessary to do this problem, how could one do it under 3 min much less under 2 min?
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Re: The points A, B, C and D are on a number line, not [#permalink]  02 Sep 2014, 16:00
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Re: The point A, B, C, and D are on the number line, not necessa [#permalink]  03 Sep 2014, 19:20

Statement 1: - Tells me that C is in middle of A and B but no idea where D is located so Insufficient

Statement 2: - no idea where ion number line do A and D lie , only their relative position to each other is known. again Insufficient

Together S1 and S2: - Insuficient because D can still lie between point C and B or after B so two different values can be found.
Re: The point A, B, C, and D are on the number line, not necessa   [#permalink] 03 Sep 2014, 19:20
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# The point A, B, C, and D are on the number line, not necessa

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