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

It is currently 21 Oct 2018, 09:50

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

If the supplement of a certain angle is six times the measure of the

  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: 50009
If the supplement of a certain angle is six times the measure of the  [#permalink]

Show Tags

New post 28 Sep 2016, 02:53
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

66% (01:13) correct 34% (02:09) wrong based on 72 sessions

HideShow timer Statistics

If the supplement of a certain angle is six times the measure of the complement of that certain angle, then what is the measure of that certain angle?

A. 36°
B. 50°
C. 56°
D. 60°
E. 72°

_________________

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

Retired Moderator
avatar
G
Joined: 26 Nov 2012
Posts: 593
Premium Member
Re: If the supplement of a certain angle is six times the measure of the  [#permalink]

Show Tags

New post 28 Sep 2016, 03:52
1
2
Bunuel wrote:
If the supplement of a certain angle is six times the measure of the complement of that certain angle, then what is the measure of that certain angle?

A. 36°
B. 50°
C. 56°
D. 60°
E. 72°


Note : If we have some angle as a , the supplement angle is (180 - a ) and the complement angle is (90 - a).

(180 - a) = 6 (90 - a)

Then (180 - a) = 540 - 6a

=> (6x - a) = 540 - 180

=> 5a= 360
=> a = 360/5 = 72.

IMO option E.
Intern
Intern
avatar
Joined: 23 Jun 2016
Posts: 41
Re: If the supplement of a certain angle is six times the measure of the  [#permalink]

Show Tags

New post 28 Sep 2016, 16:27
Plug in numbers. Couple of this to keep in mind complimentary angle is 90-A so if we have an angle 50 the complementary would be 40 since 50+40=90. Supplementary angle is 180-A. So if an angle is 20 then the supplementary is 160. Supplementary cannot be greater than 180

Statement B:
If the angle is 50 then the complementary angle is 40 (90-50) and the supplementary angle = 240 (not possible the angle be greater than 50 )

Statement D:
If the angle is 60 then complimentary is 30 and supplementary = 180 not possible the angle must be larger 60

Answer E as the only option left

We can verify

Statement E if angle is 72 complimentary is 18 and supplementary = 108 (108+72= 180)
Senior Manager
Senior Manager
User avatar
B
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 472
Location: India
Premium Member
Re: If the supplement of a certain angle is six times the measure of the  [#permalink]

Show Tags

New post 01 Mar 2017, 00:53
Let the angle be x.
Supplement angle = 180 - x.
Compliment angle = 90-x.
According to question 180-x = 6(90-x)
=> 5x = 360
=> x = 72
_________________

GMAT Mentors
Image

Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8399
Location: Pune, India
Re: If the supplement of a certain angle is six times the measure of the  [#permalink]

Show Tags

New post 01 Mar 2017, 01:49
Bunuel wrote:
If the supplement of a certain angle is six times the measure of the complement of that certain angle, then what is the measure of that certain angle?

A. 36°
B. 50°
C. 56°
D. 60°
E. 72°


Simply note that the supplement would be 90 degrees more than the complement and this would account for 5 times the complement.
So the complementary angle would be 90/5 = 18 degrees

Hence that certain angle must be 90 - 18 = 72 degrees

Answer (E)
_________________

Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

GMAT self-study has never been more personalized or more fun. Try ORION Free!

GMAT Club Bot
Re: If the supplement of a certain angle is six times the measure of the &nbs [#permalink] 01 Mar 2017, 01:49
Display posts from previous: Sort by

If the supplement of a certain angle is six times the measure of the

  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®.