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

3

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6

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00:00

A

B

C

D

E

Difficulty:

55% (hard)

Question Stats:

59% (02:05) correct
41% (00:56) wrong based on 394 sessions

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.

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

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]
02 Sep 2009, 01:55

3

This post was BOOKMARKED

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.

Re: points A,B,C,D on a number line [#permalink]
02 Sep 2009, 02:03

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.

Re: Points on a line [#permalink]
12 Dec 2011, 17:57

2

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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. _________________

I am the master of my fate. I am the captain of my soul. Please consider giving +1 Kudos if deserved!

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]
10 Oct 2013, 22:26

3

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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]
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.

Re: The points A, B, C and D are on a number line, not [#permalink]
02 Sep 2014, 16:00

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