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

It is currently 17 Jun 2018, 22:58
Search
Register
GMAT Club Tests
Decision Tracker
My Rewards
New posts
Unanswered

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar
CLICK HERE TO HIDE/SHOW EVENTS

Which side of triangle PQR is the longest?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
  Sort by Date Sort by Kudos  
Search for:
 
Print view
First unread post
Author Message
TAGS:

Hide Tags
2 KUDOS received
Current Student
User avatar
Joined: 21 Nov 2014
Posts: 24
Location: United States
Concentration: Marketing, Social Entrepreneurship
Schools: INSEAD Jan '17, HEC '18 (A), Bocconi '17, IE
GPA: 3.55
WE: Brand Management (Consumer Products)
GMAT ToolKit User
Which side of triangle PQR is the longest? [#permalink]

Show Tags

New post 02 Apr 2016, 12:43
2
12
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

68% (00:37) correct 32% (00:35) wrong based on 475 sessions

HideShow timer Statistics

Which side of triangle PQR is the longest?

(1) PQ is longer than QR.
(2) The measure of angle PQR is 70 degrees.
Spoiler: OA
Expert Post
8 KUDOS received
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 5875
Premium Member Reviews Badge
Top Member of the Month
Re: Which side of triangle PQR is the longest? [#permalink]

Show Tags

New post 02 Apr 2016, 19:51
8
6
livio04 wrote:
Which side of triangle PQR is the longest?

(1) PQ is longer than QR.
(2) The measure of angle PQR is 70 degrees.


Hi,

RULE - the longest side of a triangle has the largest angle opposite to it..

lets see the statements



(1) PQ is longer than QR.
we know QR is not the answer..
But we do not know about the third side PR
Insuff

(2) The measure of angle PQR is 70 degrees
we know from this that the other two angles combined are 180-70=110..
largest side has the largest angle against it..
It is possible that both angles are less than 70 : 60 and 50
Also it is possible that one angle is more than 70 : 75 and 35
Insuff

Combined
we still cannot say if PQ is longest or PR
Insuff

E
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

GMAT online Tutor

Expert Post
Math Revolution GMAT Instructor
User avatar
D
Joined: 16 Aug 2015
Posts: 5572
GMAT 1: 800 Q59 V59
GPA: 3.82
Premium Member
Top Member of the Month
Re: Which side of triangle PQR is the longest? [#permalink]

Show Tags

New post 04 Apr 2016, 05:59
1
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Which side of triangle PQR is the longest?

(1) PQ is longer than QR.
(2) The measure of angle PQR is 70 degrees.


In the original condition, for a triangle, there are 3 variables, which should match with the number of equations. So you need 3 equations. For 1) 1 equation, for 2) 1 equation, which is likely to make E the answer as 1 more equation is needed.
When 1) & 2), you cannot figure out which angle is the biggest and which side is the longest, which is not sufficient.
Thus, the answer is E.


 For cases where we need 3 more equations, such as original conditions with “3 variables”, or“4 variables and 1 equation”, or “5 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 80% chance that E is the answer (especially about 90% of 2 by 2 questions where there are more than 3 variables), while C has 15% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since E is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, C or D.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Manager
Manager
avatar
S
Joined: 13 Dec 2013
Posts: 162
Location: United States (NY)
Concentration: Nonprofit, International Business
Schools: Cambridge"19 (II)
GMAT 1: 710 Q46 V41
GMAT 2: 720 Q48 V40
GPA: 4
WE: Consulting (Consulting)
Reviews Badge
Re: Which side of triangle PQR is the longest? [#permalink]

Show Tags

New post 14 Apr 2017, 14:10
chetan2u wrote:
livio04 wrote:
Which side of triangle PQR is the longest?

(1) PQ is longer than QR.
(2) The measure of angle PQR is 70 degrees.


Hi,

RULE - the longest side of a triangle has the largest angle opposite to it..

lets see the statements



(1) PQ is longer than QR.
we know QR is not the answer..
But we do not know about the third side PR
Insuff

(2) The measure of angle PQR is 70 degrees
we know from this that the other two angles combined are 180-70=110..
largest side has the largest angle against it..
It is possible that both angles are less than 70 : 60 and 50
Also it is possible that one angle is more than 70 : 75 and 35
Insuff

Combined
we still cannot say if PQ is longest or PR
Insuff

E


Thanks for the post - what's your rationale for 1)&2)?
Intern
Intern
avatar
B
Joined: 06 Dec 2016
Posts: 15
Re: Which side of triangle PQR is the longest? [#permalink]

Show Tags

New post 03 Mar 2018, 02:15
Which side of triangle PQR is the longest?

(1) PQ is longer than QR.
(2) The measure of angle PQR is 70 degrees.

(1) clearly insufficient
(2) clearly insufficient
(1)+(2)
Analyze: angle Q <> angle R <> 70 degrees => PQ <>PR
Case 1: angle Q = angle P = 70 degrees => PR = QR
Case 2: angle R < 70 degrees => RQ max
Case 3: angle R > 70 degrees => PR max
=> E
Re: Which side of triangle PQR is the longest?   [#permalink] 03 Mar 2018, 02:15
Print view
First unread post
Display posts from previous: Sort by

Which side of triangle PQR is the longest?

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

Moderators: chetan2u, VeritasPrepKarishma, Bunuel, mikemcgarry, gmatbusters, amanvermagmat

Search for:


cron

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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions