GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 18 Jan 2020, 00:10 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # The point A, B, C, and D are on the number line, not necessa

Author Message
TAGS:

### Hide Tags

Manager  Joined: 22 Apr 2004
Posts: 141
The point A, B, C, and D are on the number line, not necessa  [#permalink]

### Show Tags

11
103 00:00

Difficulty:   45% (medium)

Question Stats: 66% (01:53) correct 34% (01:59) wrong based on 1162 sessions

### HideShow timer Statistics

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.

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.
Veritas Prep GMAT Instructor V
Joined: 16 Oct 2010
Posts: 9983
Location: Pune, India
Re: The point A, B, C, and D are on the number line, not necessa  [#permalink]

### Show Tags

16
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.

"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

Still not sufficient.

_________________
Karishma
Veritas Prep GMAT Instructor

Manager  Joined: 29 Jul 2011
Posts: 72
Location: United States
Re: Points on a line  [#permalink]

### Show Tags

5
1
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.
##### General Discussion
Intern  Joined: 22 Sep 2005
Posts: 11
Location: NYC, NY

### Show Tags

4
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. Senior Manager  Joined: 27 Jun 2005
Posts: 352
Location: MS

### Show Tags

1
1
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

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
Senior Manager  Joined: 23 Jun 2009
Posts: 280
Location: Turkey
Schools: UPenn, UMich, HKS, UCB, Chicago
Re: points A,B,C,D on a number line  [#permalink]

### Show Tags

1
1)insuff,
this says AC=BC=9
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.
Manager  Joined: 25 Aug 2009
Posts: 131
Re: points A,B,C,D on a number line  [#permalink]

### Show Tags

14
7
see figure..
Attachments numberline.gif [ 8.67 KiB | Viewed 105094 times ]

Senior Manager  Joined: 13 May 2013
Posts: 396
Re: The point A, B, C, and D are on the number line, not necessa  [#permalink]

### Show Tags

1
3
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
Intern  Joined: 10 Jun 2016
Posts: 1
The point A, B, C, and D are on the number line, not necessa  [#permalink]

### Show Tags

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.
Director  B
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 520
GPA: 2.81
The point A, B, C, and D are on the number line, not necessa  [#permalink]

### Show Tags

3
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

Director  G
Joined: 26 Oct 2016
Posts: 599
Location: United States
Schools: HBS '19
GMAT 1: 770 Q51 V44
GPA: 4
WE: Education (Education)
Re: The point A, B, C, and D are on the number line, not necessa  [#permalink]

### Show Tags

BC = 8

What is BD?

Statement 1: AC = BC, we can have two possibilities:

-------------A-----------------C----------------B---D------ so BD = 1

-------------A,B---------------C--------------------D------ 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.
_________________
Thanks & Regards,
Anaira Mitch
Manager  B
Joined: 31 Dec 2016
Posts: 65
Re: The point A, B, C, and D are on the number line, not necessa  [#permalink]

### Show Tags

1
Here is just an example of how the number line could look.
Attachments answer 2.png [ 318.87 KiB | Viewed 46092 times ]

Manager  S
Joined: 11 Sep 2013
Posts: 131
Concentration: Finance, Finance
The point A, B, C, and D are on the number line, not necessa  [#permalink]

### Show Tags

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.
GMATH Teacher P
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 935
Re: The point A, B, C, and D are on the number line, not necessa  [#permalink]

### Show Tags

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.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net
Non-Human User Joined: 09 Sep 2013
Posts: 13971
Re: The point A, B, C, and D are on the number line, not necessa  [#permalink]

### Show Tags

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________ Re: The point A, B, C, and D are on the number line, not necessa   [#permalink] 14 Dec 2019, 11:01
Display posts from previous: Sort by

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