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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, 06:25

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A

B

C

D

E

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55% (hard)

Question Stats:

65% (00:49) correct 35% (00:57) wrong based on 1588 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.

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.

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

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

The points A, B, C and D are on a number line, not [#permalink]

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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.

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.

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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DS - If negative answer only, still sufficient. No need to find exact solution. PS - Always look at the answers first CR - Read the question stem first, hunt for conclusion SC - Meaning first, Grammar second RC - Mentally connect paragraphs as you proceed. Short = 2min, Long = 3-4 min

Re: Point A,B,C and D are on a number line but not in that [#permalink]

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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.

Re: The point A, B, C, and D are on the number line, not necessa [#permalink]

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06 Dec 2013, 11:16

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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 (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.

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

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14 Jun 2016, 09:04

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.

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.

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

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14 Jun 2016, 10:19

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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 .Insufficient

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 A-----------------------------------B B-----------------------------------A

"the distance between C and D is 8" C--------------D D--------------C

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.

A-----------------C-----------------D-B or B-----------------C-----------------D-A or A-D----------------C------------------B or B-D----------------C------------------A

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: A-----------------C-----------------D-B or A-D----------------C------------------B

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

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25 Dec 2017, 10:36

A---------------B(9) -------------C(18)-----D(26) or A---------------B(9)---D(10)-------C(18) After even combining these two we are not getting any concrete answer.