NEW HERE? LEARN MORE
closeclose
Last visit was: 08 May 2024, 16:31 It is currently 08 May 2024, 16:31
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

In the triangle above(refer attached file), is x > 90?

User avatar
udaymathapati
Manager
Manager
Joined: 06 Apr 2010
Posts: 93
Own Kudos [?]: 4938 [0]
Given Kudos: 15
Send PM
Reviews Badge
In the triangle above(refer attached file), is x > 90? [#permalink] New post   02 Sep 2010, 12:57
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

86% (01:04) correct 14% (01:27) wrong based on 7 sessions
Hide Show timer Statistics
In the triangle above(refer attached file), is x > 90?
(1) \(a^2\) + \(b^2\) 4



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
ShowHide Answer
Official Answer
C
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93096
Own Kudos [?]: 622254 [0]
Given Kudos: 81800
Send PM
CAT Tests Forum Quiz Mode
Re: In the triangle above(refer attached file), is x > 90? [#permalink] New post   02 Sep 2010, 13:29
Expert Reply
udaymathapati wrote:
In the triangle above(refer attached file), is x > 90?
(1) \(a^2\) + \(b^2\) < 15
(2) c > 4


(1) \(a^2+b^2<15\), no info about \(c\). Not sufficient.
(2) \(c>4\), no info about \(a\) and \(b\). Not sufficient.

(1)+(2) Now if angle \(x\) were 90 degrees than must be true that \(a^2+b^2=c^2\), but \(a^2+b^2<15<16<c^2\) so \(c\) is more than it would be if \(x\) were 90 degrees, so \(x>90\) degrees (if we increase \(c\) we increase angle \(x\)). Sufficient.

Answer: C.
User avatar
oldstudent
Intern
Intern
Joined: 20 Jun 2010
Status:Last few days....Have pressed the throttle
Posts: 40
Own Kudos [?]: 178 [0]
Given Kudos: 27
Concentration: Entrepreneurship,Strategy, Marketing
WE 1: 6 years - Consulting
Send PM
Re: In the triangle above(refer attached file), is x > 90? [#permalink] New post   07 Sep 2010, 05:58
I cannot download the file..some different format...can you upload again
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93096
Own Kudos [?]: 622254 [0]
Given Kudos: 81800
Send PM
CAT Tests Forum Quiz Mode
Re: In the triangle above(refer attached file), is x > 90? [#permalink] New post   07 Sep 2010, 06:02
Expert Reply
oldstudent wrote:
I cannot download the file..some different format...can you upload again


Here it is:
Attachment:
untitled.PNG
untitled.PNG [ 4.96 KiB | Viewed 2626 times ]
User avatar
enigma123
Senior Manager
Senior Manager
Joined: 25 Jun 2011
Status:Finally Done. Admitted in Kellogg for 2015 intake
Posts: 396
Own Kudos [?]: 16707 [3]
Given Kudos: 217
Location: United Kingdom
Concentration: International Business, Strategy
GMAT 1: 730 Q49 V45
GPA: 2.9
WE:Information Technology (Consulting)
Send PM
Re: In the triangle above(refer attached file), is x > 90? [#permalink] New post   Updated on: 09 Jun 2012, 14:41
3
Bookmarks
Attachment:
triangle.GIF
triangle.GIF [ 1.66 KiB | Viewed 4553 times ]
In the triangle above, is x > 90?

(1) a^2 + b^2 < 15
(2) c > 4

Originally posted by enigma123 on 09 Jun 2012, 14:33.
Last edited by Bunuel on 09 Jun 2012, 14:41, edited 1 time in total.
Edited the question.
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93096
Own Kudos [?]: 622254 [3]
Given Kudos: 81800
Send PM
CAT Tests Forum Quiz Mode
Re: In the triangle above(refer attached file), is x > 90? [#permalink] New post   09 Jun 2012, 14:44
1
Kudos
2
Bookmarks
Expert Reply
In the triangle above, is x > 90?

(1) a^2 + b^2 < 15
(2) c > 4

Each statement alone is clearly insufficient. When taken together:

If angle x were 90 degrees than we would have a^2+b^2=c^2, since a^2+b^2<15<16=c^2 then angle x must be greater than 90 degrees (c^2 is greater than a^2+b^2 then the angel opposite c must be greater than 90).

Answer: C.
User avatar
geometric
Manager
Manager
Joined: 13 Jan 2012
Posts: 245
Own Kudos [?]: 779 [0]
Given Kudos: 38
Weight: 170lbs
GMAT 1: 740 Q48 V42
GMAT 2: 760 Q50 V42
WE:Analyst (Other)
Send PM
Re: In the triangle above(refer attached file), is x > 90? [#permalink] New post   09 Jun 2012, 14:53
Hm...

1) This only tells us that a^2 + b^2 < 15 but nothing about c.

Insufficient.
[strike]AD[/strike]
BCE

2) Knowing that c > 4 without knowing anything about a or b is clearly not enough.

Insufficient.

So answer is C or E.

1+2) We should know that if a^2 + b^2 = c^2, then x=90, and if a^2 + b^2 < c^2, then x > 90, and if a^2 + b^2 > c^2, x < 90.

So, we know that c^2 > 16 because c > 4
We also know that a^2 + b^2 < 15

15 < 16 (Although keep in mind that this is the limiting factor. For instance, they could be 4 & 80, but they can't be 17 & 15, respectively.)
:. x > 90

Answer = C
User avatar
akrish1982
Intern
Intern
Joined: 07 Feb 2008
Posts: 31
Own Kudos [?]: 149 [0]
Given Kudos: 14
Location: United States
WE:Consulting (Computer Software)
Send PM
Re: In the triangle above(refer attached file), is x > 90? [#permalink] New post   13 Jun 2012, 06:52
c² = b² + a² - 2ba cosC
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93096
Own Kudos [?]: 622254 [0]
Given Kudos: 81800
Send PM
CAT Tests Forum Quiz Mode
Re: In the triangle above(refer attached file), is x > 90? [#permalink] New post   14 Aug 2017, 09:18
Expert Reply
udaymathapati wrote:
In the triangle above(refer attached file), is x > 90?
(1) \(a^2\) + \(b^2\) 4


OPEN DISCUSSION OF THIS QUESTION IS HERE: abc-with-a-trainagle-with-three-sides-abc-and-one-of-the-50700.html



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: In the triangle above(refer attached file), is x > 90? [#permalink]
14 Aug 2017, 09:18
Moderators:
Bunuel
Math Expert
93096 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts
GMATBusters
GMAT Tutor
1904 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions