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

It is currently 12 Dec 2018, 08:35

R1 Admission Decisions:

CMU Tepper in Calling R1 Admits   |  Kellogg Calls are Expected Shortly


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 in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • The winning strategy for 700+ on the GMAT

     December 13, 2018

     December 13, 2018

     08:00 AM PST

     09:00 AM PST

    What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
  • GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

     December 14, 2018

     December 14, 2018

     09:00 AM PST

     10:00 AM PST

    10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.

The ratio of the degree measures of the angles of a triangle is 2 : 3

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51121
The ratio of the degree measures of the angles of a triangle is 2 : 3  [#permalink]

Show Tags

New post 03 Jun 2018, 11:27
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (00:32) correct 18% (00:29) wrong based on 122 sessions

HideShow timer Statistics

The ratio of the degree measures of the angles of a triangle is 2:3:4. Which of the following is the sum of the degree measures of the smallest and largest angles?

A) 40°

B) 80°

C) 100°

D) 120°

E) 140°

_________________

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

Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Premium Member
Re: The ratio of the degree measures of the angles of a triangle is 2 : 3  [#permalink]

Show Tags

New post 03 Jun 2018, 12:11
Bunuel wrote:
The ratio of the degree measures of the angles of a triangle is 2:3:4. Which of the following is the sum of the degree measures of the smallest and largest angles?

A) 40°

B) 80°

C) 100°

D) 120°

E) 140°


Let the measure of angles of the triangle is 2k, 3k and 4k degrees where 2k and 4k are the the measure of smallest and largest angle respectively.

we have asked to find out the measure of 2k+4k=6k

Now we have 2k+3k+4k=180 deg
or, 9k=180
or, k=\(\frac{180}{9}\)=20 deg

So the desired measure=6k=6*20=120 deg.

Hence, the option (D) is the correct answer.
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1128
Re: The ratio of the degree measures of the angles of a triangle is 2 : 3  [#permalink]

Show Tags

New post 03 Jun 2018, 12:32
1
Bunuel wrote:
The ratio of the degree measures of the angles of a triangle is 2:3:4. Which of the following is the sum of the degree measures of the smallest and largest angles?

A) 40°

B) 80°

C) 100°

D) 120°

E) 140°


because ratio is 1:2,
sum must be a multiple of 3
only 120°
D
Intern
Intern
avatar
B
Joined: 26 Feb 2018
Posts: 18
CAT Tests
Re: The ratio of the degree measures of the angles of a triangle is 2 : 3  [#permalink]

Show Tags

New post 05 Jun 2018, 07:37
Bunuel wrote:
The ratio of the degree measures of the angles of a triangle is 2:3:4. Which of the following is the sum of the degree measures of the smallest and largest angles?

A) 40°

B) 80°

C) 100°

D) 120°

E) 140°


Given ratio of angles of a triangle is 2:3:4, 2x + 3x + 4x = 180

9x = 180
x = 20

smallest = 2x = 2*20 = 40
largest = 4x = 4*20 = 80

40 + 80 = 120 ans D
Senior Manager
Senior Manager
avatar
P
Joined: 17 Mar 2014
Posts: 377
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Re: The ratio of the degree measures of the angles of a triangle is 2 : 3  [#permalink]

Show Tags

New post 05 Jun 2018, 10:53
Given ration 2:3:4 so angles can be considered 2x,3x,4x
2x+3x+4x=180
x=20

Smallest angle 40 and Largest Angle 80. Sum of Smallest and Largest angle is 120
Director
Director
User avatar
P
Joined: 31 Oct 2013
Posts: 856
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: The ratio of the degree measures of the angles of a triangle is 2 : 3  [#permalink]

Show Tags

New post 10 Jun 2018, 14:54
Bunuel wrote:
The ratio of the degree measures of the angles of a triangle is 2:3:4. Which of the following is the sum of the degree measures of the smallest and largest angles?

A) 40°

B) 80°

C) 100°

D) 120°

E) 140°



As per the ratio, the smallest angle is 2x and largest angle is 4x. So the sum of this 2 angles is 6x. We can deduce that sum is basically multiple of 6.
Option D works.

Thus , option D is the answer.
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13064
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: The ratio of the degree measures of the angles of a triangle is 2 : 3  [#permalink]

Show Tags

New post 13 Nov 2018, 11:29
Hi All,

We're told that the ratio of the degree measures of the angles of a triangle is 2:3:4. We're asked which of the following is the sum of the degree measures of the SMALLEST and LARGEST angles.

Since the ratio of the angles is 2:3:4, we can refer to those 3 angles as 2X, 3X and 4X, respectively. A triangle has 180 total degrees and those 3 angles would sum to 9X, meaning that 9X = 180.

9X = 180
X = 20

The 3 angles would be 40, 60 and 80. The sum of the smallest and largest angles would be 40+80 = 120.

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

GMAT Club Bot
Re: The ratio of the degree measures of the angles of a triangle is 2 : 3 &nbs [#permalink] 13 Nov 2018, 11:29
Display posts from previous: Sort by

The ratio of the degree measures of the angles of a triangle is 2 : 3

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


Copyright

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