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The point A, B, C, and D are on the number line, not necessa
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Updated on: 27 May 2014, 07:40
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65% (01:55) correct 35% (02:00) wrong based on 2203 sessions
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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.
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Originally posted by ronybtl on 17 Nov 2005, 07:25.
Last edited by Bunuel on 27 May 2014, 07:40, edited 2 times in total.
Renamed the topic, edited the question and added the OA.




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Re: The point A, B, C, and D are on the number line, not necessa
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06 Jan 2017, 06:10
ronybtl wrote: 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. "If the distance between A and B is 18" makes me think AB BA "the distance between C and D is 8" CD DC Question: Distance between B and D? (1) The distance between C and A is the same as the distance between C and B. So C is in the middle of A and B. ACDB or BCDA or ADCB or BDCA Not sufficient (2) A is to the left of D on the number line. No defined relation between B and D. Not sufficient. Using both statements together, there are two possibilities: ACDB or ADCB Still not sufficient. Answer (E)
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Re: Points on a line
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12 Dec 2011, 18:57
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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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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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: points A,B,C,D on a number line
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02 Sep 2009, 03:03
1)insuff, this says AC=BC=9 nothing about BD 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
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02 Sep 2009, 17:10
see figure..
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numberline.gif [ 8.67 KiB  Viewed 91980 times ]



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Re: The point A, B, C, and D are on the number line, not necessa
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06 Dec 2013, 12:16
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 (98 or 9+8) The difference between B and D, therefore, could be 1817 or 181. 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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The point A, B, C, and D are on the number line, not necessa
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14 Jun 2016, 10:04
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. The GMAT answer to this question is letter E: 1) A_D_______C_________B 2) A_________C_______D_B 3) B_D_______C_________A 4) B_________C_______D_A It can be seen that the distance between A and B remains 18 in all cases. The distance between C and D remains 8 in all cases. Furthermore as mentioned in the statement one C is in the middle between A and B and therefore the distance from C to A and B is 9 each respectively. In the cases 2) & 3) the distance between B and D is one and in the cases 1) and 4) the distance between B and D is 17. There the answer choice A is incorrect. The second statement eliminates the cases 1) and 2). Nethertheless the distance between B and D remains at 1 or 17 in case 3) and 4) respectively. Therefore both statements together are not suffient and the right answere choice should be E.



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The point A, B, C, and D are on the number line, not necessa
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14 Jun 2016, 11:19
ronybtl wrote: 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. Given ,AB=18 and CD=8 , (1)No information of the specifice placement of D, Insufficient(2) No information of te distance , Insufficient(1)+(2) CD<9,So both of C and D points are left of A and their placement and are interchangeable or not specific , So the distance between B and D is not specific . InsufficientCorrect Answer E
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Re: The point A, B, C, and D are on the number line, not necessa
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29 Jan 2017, 05:11
AD = 18 BC = 8 What is BD? Statement 1: AC = BC, we can have two possibilities: ACBD so BD = 1 A,BCD A and B are on the same point, so BD = 18 Insufficient Statement 2: A is to the left of D. There is no info on the position of B relative to A or D. Insufficient. Both statements together: Both possibilities shown in statement 1 also satisfies statement 2. So insufficient. Choose E.
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Re: The point A, B, C, and D are on the number line, not necessa
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18 Jun 2017, 15:10
Here is just an example of how the number line could look.
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The point A, B, C, and D are on the number line, not necessa
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25 Dec 2017, 11:36
AB(9) C(18)D(26) or AB(9)D(10)C(18) After even combining these two we are not getting any concrete answer.



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Re: The point A, B, C, and D are on the number line, not necessa
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02 Dec 2018, 12:42
ronybtl wrote: 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.
\(\eqalign{ & {\rm{dist}}\left( {A,B} \right) = 18 \cr & {\rm{dist}}\left( {C,D} \right) = 8 \cr}\) \({\rm{? = dist}}\left( {B,D} \right)\) Let´s go straight to (1+2): a bifurcation guarantees the correct answer is (E)! \(\left( {1 + 2} \right)\,\,\,\,\left\{ \matrix{ \,A < D \hfill \cr \,{\rm{dist}}\left( {C,A} \right) = {\rm{dist}}\left( {C,B} \right) \hfill \cr} \right.\,\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,\,{\rm{Geometric}}\,\,{\rm{Bifurcation}}\,\,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,\,\,\,\left( {\rm{E}} \right)\,\,\,\) This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio.
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Re: The point A, B, C, and D are on the number line, not necessa
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