Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 18 08:00 AM PDT  09:00 AM PDT Learn an intuitive, systematic approach that will maximize your success on Fillintheblank GMAT CR Questions. Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions) Oct 23 08:00 AM PDT  09:00 AM PDT Join an exclusive interview with the people behind the test. If you're taking the GMAT, this is a webinar you cannot afford to miss!
Author 
Message 
TAGS:

Hide Tags

Math Expert
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
Updated on: 15 Jul 2019, 03:53
Question Stats:
73% (02:22) correct 27% (02:37) wrong based on 55 sessions
HideShow timer Statistics
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 [ 18.47 KiB  Viewed 1125 times ]
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
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
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
WE: Education (Education)

Re: In the figure, lines l, m, and n intersect at O. Which one of the foll
[#permalink]
Show Tags
Updated on: 16 Oct 2018, 04:40
Bunuel wrote: 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. \(a > 1\) ay = x also, x+10 = y i.e. x = y10 i.e. ay = y10 Also, ay + (x+10) = 180120 = 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!!!GMATinsightBhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhihttp://www.GMATinsight.com/testimonials.htmlACCESS 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
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
15 Oct 2018, 10:55
GMATinsight wrote: Bunuel wrote: 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. \(a > 1\) ay = x also, x+10 = y i.e. ay = y i.e. y(a1)=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 ?
_________________



Intern
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
15 Oct 2018, 13:35
GMATinsight wrote: ay = x
also, x+10 = y
i.e. ay = y
i.e. y(a1)=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
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
WE: Education (Education)

Re: In the figure, lines l, m, and n intersect at O. Which one of the foll
[#permalink]
Show Tags
16 Oct 2018, 04:56
stne wrote: GMATinsight wrote: Bunuel wrote: 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. \(a > 1\) ay = x also, x+10 = y i.e. ay = y i.e. y(a1)=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 ? stneI made some typo error followed by calculation error. Please check edited my solution above again. I regret the inconvenience caused by my error.
_________________
Prosper!!!GMATinsightBhoopendra Singh and Dr.Sushma Jha email: info@GMATinsight.com I Call us : +919999687183 / 9891333772 Online OneonOne Skype based classes and Classroom Coaching in South and West Delhihttp://www.GMATinsight.com/testimonials.htmlACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION



GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5019
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)

Re: In the figure, lines l, m, and n intersect at O. Which one of the foll
[#permalink]
Show Tags
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=y10(2)
we know y+ay+120=180 y+y10+120=180 2y=70 y=35
substitute in (2) x= 25
therefore as per (1) a = 25/35= 5/7 ( B)




Re: In the figure, lines l, m, and n intersect at O. Which one of the foll
[#permalink]
17 Oct 2018, 00:11






