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The point A, B, C, and D are on the number line, not necessa [#permalink]
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17 Nov 2005, 07:25
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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.
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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: DS: number line [#permalink]
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17 Nov 2005, 14:43
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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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]
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17 Nov 2005, 19:08
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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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(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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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]
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02 Sep 2009, 02:55
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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.



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Re: points A,B,C,D on a number line [#permalink]
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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 [#permalink]
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02 Sep 2009, 17:10
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see figure..
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Re: Points on a line [#permalink]
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12 Dec 2011, 18:57
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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]
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14 Dec 2011, 06:43
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]
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10 Oct 2013, 23:26
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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]
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06 Dec 2013, 12:16
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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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Re: The point A, B, C, and D are on the number line, not necessa [#permalink]
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03 Sep 2014, 20:20
Answer E
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.



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The point A, B, C, and D are on the number line, not necessa [#permalink]
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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 [#permalink]
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14 Jun 2016, 11:19
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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 [#permalink]
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06 Jan 2017, 06:10
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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: The point A, B, C, and D are on the number line, not necessa [#permalink]
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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 [#permalink]
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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 [#permalink]
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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.




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