It is currently 11 Dec 2017, 21:58

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

Events & Promotions in June
Open Detailed Calendar

Is the line PQ parallel to the line SR? (1) w = q (2) y = z

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42544

Kudos [?]: 135295 [0], given: 12686

Is the line PQ parallel to the line SR? (1) w = q (2) y = z [#permalink]

Show Tags

New post 22 Oct 2017, 06:41
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

62% (00:58) correct 38% (00:41) wrong based on 34 sessions

HideShow timer Statistics

Kudos [?]: 135295 [0], given: 12686

Intern
Intern
avatar
B
Joined: 29 Aug 2017
Posts: 35

Kudos [?]: 3 [0], given: 57

Re: Is the line PQ parallel to the line SR? (1) w = q (2) y = z [#permalink]

Show Tags

New post 23 Oct 2017, 04:45
Bunuel wrote:
Image
Is the line PQ parallel to the line SR?

(1) w = q
(2) y = z

[Reveal] Spoiler:
Attachment:
2017-10-22_1739.png


Is line PQ parallel to line SR? That is, is x = z?

Statement 1:
w = q
From the triangle PQR, x + q + y = 180 => x = 180 - q - y
z + w + y = 180 => z = 180 - w - y = 180 - q - y
Therefore, z = x
Lines PQ and SR are parallel.
Statement 1 is sufficient.

Statement 2:
y = z
x = 180 - q - y = 180 - q - z
But, this statement is not sufficient to know whether x = z

Therefore, answer is A.

Kudos [?]: 3 [0], given: 57

2 KUDOS received
Manager
Manager
avatar
S
Joined: 15 Feb 2017
Posts: 74

Kudos [?]: 63 [2], given: 0

Re: Is the line PQ parallel to the line SR? (1) w = q (2) y = z [#permalink]

Show Tags

New post 23 Oct 2017, 04:50
2
This post received
KUDOS
IMO Option A
Using first statement w=q alternate interior angles are equal. So lines are parallel.
Second statement does not give us a condition for satisfying parallel lines So B not sufficient.
Please give me kudos. I need them to unlock gmatclubtests

Kudos [?]: 63 [2], given: 0

Intern
Intern
avatar
B
Joined: 24 Oct 2016
Posts: 25

Kudos [?]: 0 [0], given: 16

GMAT ToolKit User CAT Tests
Re: Is the line PQ parallel to the line SR? (1) w = q (2) y = z [#permalink]

Show Tags

New post 23 Oct 2017, 07:08
Think of lines QR and PR as transversals through lines PQ and SR. Two lines cut by a transversal will be parallel if all the acute angles are same and all the obtuse angles are same. Lines PQ and SR will be parallel if x=z and w=q.

Statement 1: as w=q so Lines PQ and SR are parallel. Sufficient
Statement 2: Insufficient to prove that x=z or w=q.

Answer: A
Attachments

PARALLEL LINES.png
PARALLEL LINES.png [ 7.34 KiB | Viewed 261 times ]

Kudos [?]: 0 [0], given: 16

Manager
Manager
User avatar
B
Joined: 22 May 2017
Posts: 90

Kudos [?]: 7 [0], given: 222

GMAT 1: 580 Q41 V29
GMAT 2: 580 Q43 V27
Re: Is the line PQ parallel to the line SR? (1) w = q (2) y = z [#permalink]

Show Tags

New post 23 Oct 2017, 13:13
Bunuel wrote:
Image
Is the line PQ parallel to the line SR?

(1) w = q
(2) y = z

[Reveal] Spoiler:
Attachment:
2017-10-22_1739.png


statement 1- w=q, then it will solve the question, using externally angle theorem, PQ is equal to SR.
statement 2- y=z, then it does not let us know about angle of line PQ and SR.

So the answer to the equation is A.

Kudos [?]: 7 [0], given: 222

Re: Is the line PQ parallel to the line SR? (1) w = q (2) y = z   [#permalink] 23 Oct 2017, 13:13
Display posts from previous: Sort by

Is the line PQ parallel to the line SR? (1) w = q (2) y = z

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.