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

It is currently 19 Sep 2018, 02:16

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

In triangle DEF above, what is the value of a in terms of b?

  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: 49251
In triangle DEF above, what is the value of a in terms of b?  [#permalink]

Show Tags

New post 02 Sep 2018, 23:40
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

93% (00:34) correct 7% (00:25) wrong based on 27 sessions

HideShow timer Statistics

Image
In triangle DEF above, what is the value of a in terms of b?


A. 115 – b
B. 65 + b
C. 180 – b
D. 115 + b
E. b – 65


Attachment:
image004.jpg
image004.jpg [ 3.75 KiB | Viewed 349 times ]

_________________

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
G
Joined: 20 Feb 2015
Posts: 728
Concentration: Strategy, General Management
Premium Member CAT Tests
Re: In triangle DEF above, what is the value of a in terms of b?  [#permalink]

Show Tags

New post 03 Sep 2018, 02:20
Bunuel wrote:
Image
In triangle DEF above, what is the value of a in terms of b?


A. 115 – b
B. 65 + b
C. 180 – b
D. 115 + b
E. b – 65


Attachment:
image004.jpg



exterior angle = sum of opposite interior angles
a= 65 + b
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6785
Re: In triangle DEF above, what is the value of a in terms of b?  [#permalink]

Show Tags

New post 03 Sep 2018, 02:23
Bunuel wrote:
Image
In triangle DEF above, what is the value of a in terms of b?


A. 115 – b
B. 65 + b
C. 180 – b
D. 115 + b
E. b – 65


Attachment:
image004.jpg


a is external angle in the smaller triangle on the left side..
And is therefore equal to sum of two opposite internal angles...
So a=65+b

B
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3131
Location: India
GPA: 3.12
Premium Member CAT Tests
Re: In triangle DEF above, what is the value of a in terms of b?  [#permalink]

Show Tags

New post 03 Sep 2018, 02:30
Image

Let X be the point at which F makes contact with DE!
Since Angle FXE = a | Angle FXD = 180 - a (Angles in a straight line always have a sum of 180)

In Triangle DFX, the sum of angles is 180 -> \(b + 65 + 180 - a = 180\) -> \(a = b + 65\)

Therefore, the value of a in terms of b is a = b + 65(Option B)
_________________

You've got what it takes, but it will take everything you've got

Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3497
Location: United States (CA)
Re: In triangle DEF above, what is the value of a in terms of b?  [#permalink]

Show Tags

New post 11 Sep 2018, 17:14
Bunuel wrote:
Image
In triangle DEF above, what is the value of a in terms of b?


A. 115 – b
B. 65 + b
C. 180 – b
D. 115 + b
E. b – 65


Attachment:
image004.jpg


Since an exterior angle of a triangle (in this case, angle a) is equal to the sum of the two remote interior angles (in this case, angle b and the angle measuring 65 degrees), we see that:

a = 65 + b

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Re: In triangle DEF above, what is the value of a in terms of b? &nbs [#permalink] 11 Sep 2018, 17:14
Display posts from previous: Sort by

In triangle DEF above, what is the value of a in terms of b?

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

Events & Promotions

PREV
NEXT


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®.