GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 05 Dec 2019, 12:19 ### 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 points A, B, C and D lie on the number line in that order. If AB=B

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8229
GMAT 1: 760 Q51 V42 GPA: 3.82
The points A, B, C and D lie on the number line in that order. If AB=B  [#permalink]

### Show Tags 00:00

Difficulty:   55% (hard)

Question Stats: 67% (03:02) correct 33% (02:54) wrong based on 78 sessions

### HideShow timer Statistics

[GMAT math practice question]

The points $$A, B, C$$ and $$D$$ lie on the number line in that order. If $$AB=\frac{BC}{3},$$ $$AC=(\frac{4}{7})CD$$, $$A=-1$$, and $$D=10$$, what is the value of $$B$$?

$$A. -2$$
$$B. -1$$
$$C. 0$$
$$D. 1$$
$$E. 2$$

_________________
Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3300
Location: India
GPA: 3.12
The points A, B, C and D lie on the number line in that order. If AB=B  [#permalink]

### Show Tags

1
MathRevolution wrote:
[GMAT math practice question]

The points $$A, B, C$$ and $$D$$ lie on the number line in that order. If $$AB=\frac{BC}{3},$$ $$AC=(\frac{4}{7})CD$$, $$A=-1$$, and $$D=10$$, what is the value of $$B$$?

$$A. -2$$
$$B. -1$$
$$C. 0$$
$$D. 1$$
$$E. 2$$

Attachment: iMAGE.png [ 3.96 KiB | Viewed 1071 times ]

From the question stem, AD = 11

From the diagram, we can write that $$\frac{Y}{4} + \frac{Y}{7} = 11$$ -> $$\frac{7Y + 4Y}{28} = 11$$ -> Y = 28
Now, AC = $$\frac{Y}{7}$$ = 4 and AB + BC = AC = 4

$$x + 3x = 4$$ -> $$x = 1$$

Therefore, AB = 1 and A = -1, B will be 0(Option C)
_________________
You've got what it takes, but it will take everything you've got
Current Student S
Joined: 22 Jun 2016
Posts: 223
Re: The points A, B, C and D lie on the number line in that order. If AB=B  [#permalink]

### Show Tags

1
Given A=-1 and D=10 and ABCD are collinear in the same order, then D>C>B>A.
Option A is out as A>B.
Option B is out as A and B will lie on the same point and AB=0. So, BC will also be 0 and AC and CD will also become 0.

Option C.
B=0. So, AB=1. So, BC=3. Hence, C = 3.
AC will then be 4 and CD = 10.

This satisfies the equation AC = (4/7) CD.

Hence, this would be the answer.

Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8229
GMAT 1: 760 Q51 V42 GPA: 3.82
Re: The points A, B, C and D lie on the number line in that order. If AB=B  [#permalink]

### Show Tags

=>

Attachment: 2.21.png [ 1015 Bytes | Viewed 990 times ]

Let $$BC = 3d$$.
Then $$AB = \frac{BC}{3} = d$$ and $$AC = 4d$$.
Also, $$AC = 4d = (\frac{4}{7})CD$$ and $$CD = 7d$$.
Therefore,
$$AD = AC + CD = 4d + 7d = 11d = 10 – (-1) = 11$$.
So,
$$d = 1$$, and
$$B = -1 + d = -1 + 1 = 0.$$

_________________
Non-Human User Joined: 09 Sep 2013
Posts: 13709
Re: The points A, B, C and D lie on the number line in that order. If AB=B  [#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 points A, B, C and D lie on the number line in that order. If AB=B   [#permalink] 30 Sep 2019, 08:05
Display posts from previous: Sort by

# The points A, B, C and D lie on the number line in that order. If AB=B  