It is currently 20 Oct 2017, 05:56

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

In ∆ PQR above, y =

  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: 41890

Kudos [?]: 128966 [0], given: 12185

In ∆ PQR above, y = [#permalink]

Show Tags

New post 17 Aug 2017, 23:49
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

96% (00:28) correct 4% (00:00) wrong based on 57 sessions

HideShow timer Statistics

Image
In ∆ PQR above, y =

(A) 130
(B) 120
(C) 100
(D) 80
(E) 50

[Reveal] Spoiler:
Attachment:
2017-08-18_1028_001.png
2017-08-18_1028_001.png [ 10.58 KiB | Viewed 434 times ]
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 128966 [0], given: 12185

BSchool Forum Moderator
User avatar
P
Joined: 26 Feb 2016
Posts: 1463

Kudos [?]: 595 [0], given: 16

Location: India
Concentration: General Management, Leadership
WE: Sales (Retail)
Premium Member CAT Tests
Re: In ∆ PQR above, y = [#permalink]

Show Tags

New post 18 Aug 2017, 00:05
Image

In ∆ PQR above,
4x + 80 = 180(The sum of angles in a triangle is 180)
4x = 100
x = 25

In the smaller triangle, 2x + y = 180
Substituting the value for x, we get
50 + y = 180
y = 130(Option A)
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

Kudos [?]: 595 [0], given: 16

Intern
Intern
avatar
B
Joined: 13 Jul 2015
Posts: 21

Kudos [?]: 1 [0], given: 1

Re: In ∆ PQR above, y = [#permalink]

Show Tags

New post 18 Aug 2017, 02:05
Ans a = 130

For bigger triangle , 4x+80 = 180 ; x=25
For smaller triangle , 2x+y= 180 , Substituting x=25 , y= 130

Kudos [?]: 1 [0], given: 1

Manager
Manager
User avatar
B
Status: Searching for something I've been searching..LOL
Joined: 14 Dec 2016
Posts: 55

Kudos [?]: 21 [0], given: 143

Location: India
Concentration: Healthcare, Operations
Schools: Ross '20
GMAT 1: 590 Q35 V42
GPA: 3.5
WE: Medicine and Health (Health Care)
GMAT ToolKit User CAT Tests
Re: In ∆ PQR above, y = [#permalink]

Show Tags

New post 18 Aug 2017, 02:18
In the triangle PQR

Since the sum of angles in a triangle is 180

4x + 80 = 180
4x = 100
x = 25

In the triangle inscribed inside

2x + y = 180

Substituting the value for x, we get

50 + y = 180
y = 130
(Option A)

Kudos [?]: 21 [0], given: 143

Manager
Manager
avatar
B
Joined: 14 Sep 2016
Posts: 137

Kudos [?]: 5 [0], given: 35

Re: In ∆ PQR above, y = [#permalink]

Show Tags

New post 18 Aug 2017, 03:07
80 + 2X + 2X = 180

We get X = 25

therefore = y + 2x = 180
Y = 130 taking the value of x = 25

Kudos [?]: 5 [0], given: 35

Intern
Intern
avatar
B
Joined: 17 Apr 2017
Posts: 9

Kudos [?]: 1 [0], given: 11

Location: India
WE: Analyst (Consulting)
Re: In ∆ PQR above, y = [#permalink]

Show Tags

New post 19 Aug 2017, 03:19
In the Outer triangle PQR,

Sum of angles = 2x + 2x + 80 =180
Therefore x =25

In the Inner triangle,
sum of angles = x + x + y = 180
Therefore y= 180-25-25
y=130

Kudos [?]: 1 [0], given: 11

Manager
Manager
User avatar
S
Joined: 27 Dec 2016
Posts: 154

Kudos [?]: 38 [0], given: 192

Concentration: Social Entrepreneurship, Nonprofit
GPA: 3.65
WE: Sales (Consumer Products)
Premium Member CAT Tests
Re: In ∆ PQR above, y = [#permalink]

Show Tags

New post 19 Aug 2017, 22:02
Bunuel wrote:
Image
In ∆ PQR above, y =

(A) 130
(B) 120
(C) 100
(D) 80
(E) 50

[Reveal] Spoiler:
Attachment:
2017-08-18_1028_001.png


1. X + X + X + X + 80 (angle PQR) = 180. Solve, we get x = 25.
2. Look in the small triangle : X + X + Y = 180. Plug in X value, we get 50 + Y = 180. So Y is 130.

A.
_________________

There's an app for that - Steve Jobs.

Kudos [?]: 38 [0], given: 192

Re: In ∆ PQR above, y =   [#permalink] 19 Aug 2017, 22:02
Display posts from previous: Sort by

In ∆ PQR above, y =

  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®.