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

It is currently 18 Oct 2019, 15:23

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

In the figure, lines l, m, and n intersect at O. Which one of the foll

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58453
In the figure, lines l, m, and n intersect at O. Which one of the foll  [#permalink]

Show Tags

New post Updated on: 15 Jul 2019, 03:53
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

73% (02:22) correct 27% (02:37) wrong based on 55 sessions

HideShow timer Statistics

Image
In the figure, lines l, m, and n intersect at O. Which one of the following must be true about the value of a ?


A. \(a < \frac{5}{8}\)

B. \(a = \frac{5}{7}\)

C. \(a = \frac{5}{6}\)

D. \(a = 1\)

E. \(a > 1\)


Source: Nova GMAT
Difficulty Level: 700


Attachment:
lines.jpg
lines.jpg [ 18.47 KiB | Viewed 1125 times ]

_________________

Originally posted by Bunuel on 09 Oct 2018, 23:25.
Last edited by SajjadAhmad on 15 Jul 2019, 03:53, edited 1 time in total.
Added Source
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: In the figure, lines l, m, and n intersect at O. Which one of the foll  [#permalink]

Show Tags

New post Updated on: 16 Oct 2018, 04:40
Bunuel wrote:
Image
In the figure, lines l, m, and n intersect at O. Which one of the following must be true about the value of a ?


A. \(a < \frac{5}{8}\)

B. \(a = \frac{5}{7}\)

C. \(a = \frac{5}{6}\)

D. \(a = 1\)

E. \(a > 1\)


Attachment:
lines.jpg



ay = x

also, x+10 = y i.e. x = y-10

i.e. ay = y-10

Also, ay + (x+10) = 180-120 = 60

i.e. x+x+10 = 60

i.e. x = 25

i.e. 25+10 = y

i.e. y = 35

now, ay = x

i.e. a*35 = 25

i.e. a = 5/7

Answer: Option B
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Originally posted by GMATinsight on 10 Oct 2018, 02:11.
Last edited by GMATinsight on 16 Oct 2018, 04:40, edited 1 time in total.
Director
Director
User avatar
V
Joined: 27 May 2012
Posts: 902
Re: In the figure, lines l, m, and n intersect at O. Which one of the foll  [#permalink]

Show Tags

New post 15 Oct 2018, 10:55
GMATinsight wrote:
Bunuel wrote:
Image
In the figure, lines l, m, and n intersect at O. Which one of the following must be true about the value of a ?


A. \(a < \frac{5}{8}\)

B. \(a = \frac{5}{7}\)

C. \(a = \frac{5}{6}\)

D. \(a = 1\)

E. \(a > 1\)


Attachment:
lines.jpg



ay = x

also, x+10 = y

i.e. ay = y

i.e. y(a-1)=0

i.e. either y = 0 or a = 1

i.e. a = 1 because y ≠0

Answer: Option D


Hi GMATinsight,

How did you get ay=y in the third line ?
_________________
- Stne
Intern
Intern
avatar
Joined: 15 Oct 2018
Posts: 1
Re: In the figure, lines l, m, and n intersect at O. Which one of the foll  [#permalink]

Show Tags

New post 15 Oct 2018, 13:35
GMATinsight wrote:

ay = x

also, x+10 = y

i.e. ay = y

i.e. y(a-1)=0

i.e. either y = 0 or a = 1

i.e. a = 1 because y ≠0

Answer: Option D


Not sure I agree with this one.

From the diagram:
(1) y = x + 10
(2) ay = x
(3) x + 10 + ay + 240 + x + y = 360

Tidying up 3 a little:
x + ay + x + y = 110

substitute in (1) and (2) we can eliminate a and y from the equation:

x + x + x + x + 10 = 110

4 x = 100 -> x=25 -> y = 35

From (2), a = x/y = 25/35 = 5/7 -> ANSWER B
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: In the figure, lines l, m, and n intersect at O. Which one of the foll  [#permalink]

Show Tags

New post 16 Oct 2018, 04:56
stne wrote:
GMATinsight wrote:
Bunuel wrote:
Image
In the figure, lines l, m, and n intersect at O. Which one of the following must be true about the value of a ?


A. \(a < \frac{5}{8}\)

B. \(a = \frac{5}{7}\)

C. \(a = \frac{5}{6}\)

D. \(a = 1\)

E. \(a > 1\)


Attachment:
lines.jpg



ay = x

also, x+10 = y

i.e. ay = y

i.e. y(a-1)=0

i.e. either y = 0 or a = 1

i.e. a = 1 because y ≠0

Answer: Option D


Hi GMATinsight,

How did you get ay=y in the third line ?


stne

I made some typo error followed by calculation error.

Please check edited my solution above again. I regret the inconvenience caused by my error. :)
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 5019
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: In the figure, lines l, m, and n intersect at O. Which one of the foll  [#permalink]

Show Tags

New post 17 Oct 2018, 00:11
In the figure, lines l, m, and n intersect at O. Which one of the following must be true about the value of a ?


A. a<58a<58

B. a=57a=57

C. a=56a=56

D. a=1a=1

E. a>1


SOLN:
ay=x
a=x/y ( to be answered) (1)
x+10=y
x=y-10---(2)

we know y+ay+120=180
y+y-10+120=180
2y=70
y=35

substitute in (2)
x= 25

therefore as per (1) a = 25/35= 5/7 ( B)
GMAT Club Bot
Re: In the figure, lines l, m, and n intersect at O. Which one of the foll   [#permalink] 17 Oct 2018, 00:11
Display posts from previous: Sort by

In the figure, lines l, m, and n intersect at O. Which one of the foll

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





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