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

It is currently 14 Nov 2018, 14:16

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • $450 Tuition Credit & Official CAT Packs FREE

     November 15, 2018

     November 15, 2018

     10:00 PM MST

     11:00 PM MST

    EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
  • Free GMAT Strategy Webinar

     November 17, 2018

     November 17, 2018

     07:00 AM PST

     09:00 AM PST

    Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

Points A, B, C, and D lie on the number line as shown in th

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6504
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Points A, B, C, and D lie on the number line as shown in th  [#permalink]

Show Tags

New post Updated on: 14 Dec 2017, 01:10
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

67% (02:51) correct 33% (02:14) wrong based on 57 sessions

HideShow timer Statistics

[GMAT math practice question]

Attachment:
12.12.png
12.12.png [ 1.16 KiB | Viewed 674 times ]


Points \(A, B, C\), and \(D\) lie on the number line as shown in the figure above. If \(AC=BD\) and \(AB=\frac{BC}{5}\), what is the value of \(C\)?

A. \(\frac{7}{14}\)
B. \(\frac{8}{14}\)
C. \(\frac{9}{14}\)
D. \(\frac{10}{14}\)
E. \(\frac{11}{14}\)

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"


Originally posted by MathRevolution on 12 Dec 2017, 00:42.
Last edited by MathRevolution on 14 Dec 2017, 01:10, edited 1 time in total.
Director
Director
User avatar
P
Joined: 13 Mar 2017
Posts: 626
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Points A, B, C, and D lie on the number line as shown in th  [#permalink]

Show Tags

New post 12 Dec 2017, 02:52
MathRevolution wrote:
[GMAT math practice question]

Attachment:
12.12.png


Points \(A, B, C\), and \(D\) lie on the number line as shown in the figure above. If \(AC=BD\) and \(AB=\frac{BC}{5}\), what is the value of \(C\)?

A. \(\frac{7}{14}\)
B. \(\frac{8}{14}\)
C. \(\frac{9}{14}\)
D. \(\frac{10}{14}\)
E. \(\frac{11}{14}\)


Let BC = x, so, AB = x/5
Also, AC = BD
AB + BC = BC + CD
AB = CD = x/5

AD = AB + BC + CD = x/ 5 + x+ x/5 = 7x/5
Also, AD = 2/3 - 1/2 = 1/6
7x /5 = 1/6
x = 5/42

C = A + AB + BC = 1/2 + x/5 +x = 1/2 + 6x/5 = 1/2 + (6/5)*(5/42) = 1/2 + 1/7 = 9/14

Answer C
_________________

CAT 2017 99th percentiler : VA 97.27 | DI-LR 96.84 | QA 98.04 | OA 98.95
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu


Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)



What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".

Intern
Intern
User avatar
B
Joined: 29 May 2012
Posts: 37
Premium Member
Re: Points A, B, C, and D lie on the number line as shown in th  [#permalink]

Show Tags

New post 12 Dec 2017, 05:38
shashankism wrote:
MathRevolution wrote:
[GMAT math practice question]

Attachment:
12.12.png


Points \(A, B, C\), and \(D\) lie on the number line as shown in the figure above. If \(AC=BD\) and \(AB=\frac{BC}{5}\), what is the value of \(C\)?

A. \(\frac{7}{14}\)
B. \(\frac{8}{14}\)
C. \(\frac{9}{14}\)
D. \(\frac{10}{14}\)
E. \(\frac{11}{14}\)


Let BC = x, so, AB = x/5
Also, AC = BD
AB + BC = BC + CD
AB = CD = x/5

AD = AB + BC + CD = x/ 5 + x+ x/5 = 7x/5
Also, AD = 2/3 - 1/2 = 1/6
7x /5 = 1/6
x = 5/42

C = A + AB + BC = 1/2 + x/5 +x = 1/2 + 6x/5 = 1/2 + (6/5)*(5/42) = 1/2 + 1/7 = 9/14

Answer C


I worked out C too. But why E?
Intern
Intern
avatar
B
Joined: 15 Oct 2017
Posts: 17
Location: India
Concentration: Marketing, Finance
GMAT 1: 710 Q49 V38
GPA: 2.72
WE: Engineering (Aerospace and Defense)
Re: Points A, B, C, and D lie on the number line as shown in th  [#permalink]

Show Tags

New post 12 Dec 2017, 06:01
I got 9/14 as well. Anyone got the OE?
Senior Manager
Senior Manager
avatar
P
Joined: 31 Jul 2017
Posts: 490
Location: Malaysia
Schools: INSEAD Jan '19
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
Re: Points A, B, C, and D lie on the number line as shown in th  [#permalink]

Show Tags

New post 12 Dec 2017, 07:14
MathRevolution wrote:
[GMAT math practice question]

Attachment:
12.12.png


Points \(A, B, C\), and \(D\) lie on the number line as shown in the figure above. If \(AC=BD\) and \(AB=\frac{BC}{5}\), what is the value of \(C\)?

A. \(\frac{7}{14}\)
B. \(\frac{8}{14}\)
C. \(\frac{9}{14}\)
D. \(\frac{10}{14}\)
E. \(\frac{11}{14}\)



Hi MathRevolution,

Is the OA correct?? Getting C = 9/14
_________________

If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2092
Premium Member CAT Tests
Re: Points A, B, C, and D lie on the number line as shown in th  [#permalink]

Show Tags

New post 12 Dec 2017, 20:31
MathRevolution wrote:
[GMAT math practice question]

Attachment:
The attachment 12.12.png is no longer available


Points \(A, B, C\), and \(D\) lie on the number line as shown in the figure above. If \(AC=BD\) and \(AB=\frac{BC}{5}\), what is the value of \(C\)?

A. \(\frac{7}{14}\)
B. \(\frac{8}{14}\)
C. \(\frac{9}{14}\)
D. \(\frac{10}{14}\)
E. \(\frac{11}{14}\)

Attachment:
line.png
line.png [ 11.07 KiB | Viewed 530 times ]

If\(AB = \frac{BC}{5}\), then \(BC\) is 5 times bigger than\(AB\)

Let \(BC = 5x\)
Thus \(AB = x\)
And \(AC = 6x\)

\(AC = BD = 6x\)
They share middle part \(BC = 5x\)

\(CD\)?
\(= x\)
Both segments above the line are equal
They share \(5x\). One has another segment of length x (AB).
The other segment must have a segment with length x, too. That's CD.
\(CD = AB = x\)

Length of whole segment \(AD = (x + 5x + x) = 7x\)
Length of whole segment also \(AD = (\frac{2}{3} - \frac{1}{2}) = \frac{1}{6}\)

\(7x = \frac{1}{6}\)
\(x = \frac{1}{42}\)

Point \(C = D - \frac{1}{42}\)

\(C = (\frac{2}{3} - \frac{1}{42}) = (\frac{28}{42} - \frac{1}{42}) = (\frac{27}{42}) = \frac{9}{14}\)

Answer C

Bunuel , would you please check the OA? Thanks in advance.
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6504
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Re: Points A, B, C, and D lie on the number line as shown in th  [#permalink]

Show Tags

New post 14 Dec 2017, 01:13
=>

Suppose \(d\) is the distance between \(A\) and \(B\). Then
\(CD = d\) and \(BC = 5d\).
Thus, \(AD = d + 5d + d = 7d\). Since \(A = \frac{1}{2}\) and \(D = \frac{2}{3}\),
\(7d = \frac{2}{3} – \frac{1}{2} = \frac{4}{6} – \frac{3}{6} = \frac{1}{6},\)
and
\(d = \frac{1}{42}.\)
So, \(D – C = \frac{1}{42}\), and
\(C = \frac{2}{3} – \frac{1}{42} = \frac{28}{42} – \frac{1}{42} = \frac{27}{42} = \frac{9}{14}.\)

Therefore, the answer is C.

Answer: C
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

GMAT Club Bot
Re: Points A, B, C, and D lie on the number line as shown in th &nbs [#permalink] 14 Dec 2017, 01:13
Display posts from previous: Sort by

Points A, B, C, and D lie on the number line as shown in th

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.