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

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The point A, B, C, and D are on the number line, not necessa [#permalink] New post 17 Nov 2005, 06:25
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A
B
C
D
E

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Question Stats:

53% (02:35) correct 46% (01:11) wrong based on 73 sessions
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.
[Reveal] Spoiler: OA

Last edited by Bunuel on 11 Oct 2013, 03:13, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: DS: number line [#permalink] New post 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] New post 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] New post 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] New post 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] New post 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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Re: Point A,B,C and D are on a number line but not in that [#permalink] New post 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.
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Re: The point A, B, C, and D are on the number line, not necessa [#permalink] New post 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
Re: The point A, B, C, and D are on the number line, not necessa   [#permalink] 06 Dec 2013, 11:16
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