It is currently 17 Oct 2017, 10:31

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 the triangle above, if 80 ≤ y ≤ 100, which of the following must be

  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: 41873

Kudos [?]: 128564 [0], given: 12180

In the triangle above, if 80 ≤ y ≤ 100, which of the following must be [#permalink]

Show Tags

New post 05 Sep 2017, 23:52
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

89% (00:30) correct 11% (00:00) wrong based on 37 sessions

HideShow timer Statistics

Image
In the triangle above, if 80 ≤ y ≤ 100, which of the following must be true?

(A) 30 ≤ x ≤ 40
(B) 40 ≤ x ≤ 50
(C) 50 ≤ x ≤ 60
(D) 60 ≤ x ≤ 70
(E) 70 ≤ x ≤ 80

[Reveal] Spoiler:
Attachment:
2017-09-06_1035_001.png
2017-09-06_1035_001.png [ 11.09 KiB | Viewed 551 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 [?]: 128564 [0], given: 12180

Senior Manager
Senior Manager
User avatar
G
Joined: 02 Jul 2017
Posts: 252

Kudos [?]: 59 [0], given: 59

Location: India
GMAT ToolKit User CAT Tests
Re: In the triangle above, if 80 ≤ y ≤ 100, which of the following must be [#permalink]

Show Tags

New post 06 Sep 2017, 00:40
By figure y+x+x=180
y+2x=180

Given: 80 ≤ y ≤ 100

Min value of x
=> y=100 => 100+2x=180 => x=80/2 =40

Max value of x
=> y=80 => 80+2x=180 => x=100/2 =50

ie 40 ≤ x ≤ 50

Answer: B

Kudos [?]: 59 [0], given: 59

Director
Director
User avatar
G
Joined: 13 Mar 2017
Posts: 519

Kudos [?]: 119 [0], given: 62

Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: In the triangle above, if 80 ≤ y ≤ 100, which of the following must be [#permalink]

Show Tags

New post 06 Sep 2017, 03:55
Bunuel wrote:
Image
In the triangle above, if 80 ≤ y ≤ 100, which of the following must be true?

(A) 30 ≤ x ≤ 40
(B) 40 ≤ x ≤ 50
(C) 50 ≤ x ≤ 60
(D) 60 ≤ x ≤ 70
(E) 70 ≤ x ≤ 80

[Reveal] Spoiler:
Attachment:
2017-09-06_1035_001.png


Sum of angles of triangle = 180 deg
So, 2x+y = 180 -> 2x = 180 - y ...........(i)
Also 80 ≤ y ≤ 100.............(ii)

From (i) & (ii), 80 ≤ 2x ≤ 100
40 ≤ x ≤ 50

Answer B
_________________

MBA Social Network : WebMaggu

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

Kudos [?]: 119 [0], given: 62

Expert Post
Target Test Prep Representative
User avatar
S
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1619

Kudos [?]: 835 [0], given: 2

Location: United States (CA)
Re: In the triangle above, if 80 ≤ y ≤ 100, which of the following must be [#permalink]

Show Tags

New post 11 Sep 2017, 11:01
Bunuel wrote:
Image
In the triangle above, if 80 ≤ y ≤ 100, which of the following must be true?

(A) 30 ≤ x ≤ 40
(B) 40 ≤ x ≤ 50
(C) 50 ≤ x ≤ 60
(D) 60 ≤ x ≤ 70
(E) 70 ≤ x ≤ 80

[Reveal] Spoiler:
Attachment:
2017-09-06_1035_001.png


Since y + 2x = 180:

2x = 180 - y

x = 90 - y/2

We are given that 80 ≤ y ≤ 100. If y = 80, then x is at its maximum, i.e., x is at most 90 - 80/2 = 50. If y = 100, then x is at its minimum, i.e., x is at least 90 - 100/2 = 40. Thus, x is between 40 and 50 inclusive, i.e., 40 ≤ x ≤ 50.

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 835 [0], given: 2

Director
Director
avatar
P
Joined: 22 May 2016
Posts: 799

Kudos [?]: 252 [0], given: 544

In the triangle above, if 80 ≤ y ≤ 100, which of the following must be [#permalink]

Show Tags

New post 12 Sep 2017, 08:32
Bunuel wrote:
Image
In the triangle above, if 80 ≤ y ≤ 100, which of the following must be true?

(A) 30 ≤ x ≤ 40
(B) 40 ≤ x ≤ 50
(C) 50 ≤ x ≤ 60
(D) 60 ≤ x ≤ 70
(E) 70 ≤ x ≤ 80

[Reveal] Spoiler:
Attachment:
2017-09-06_1035_001.png

If 80 ≤ y ≤ 100, which of the following must be true?

1. Answer choices all contain x, so find y in terms of x

y + 2x = 180
y = 180 - 2x

2. Substitute (180 - 2x) for y in the inequality

80 ≤ 180 - 2x ≤ 100

3. Solve for x (subtract 180 and divide by -2, switching direction of inequality sign)

-100 ≤ -2x ≤ -80

50 ≥ x ≥ 40

40 ≤ x ≤ 50

Answer B

Kudos [?]: 252 [0], given: 544

In the triangle above, if 80 ≤ y ≤ 100, which of the following must be   [#permalink] 12 Sep 2017, 08:32
Display posts from previous: Sort by

In the triangle above, if 80 ≤ y ≤ 100, which of the following must be

  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®.