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

It is currently 15 Aug 2018, 21:12

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

Is the measure of two exterior angles of a triangle PQR, each equal to

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

Hide Tags

DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1340
Location: India
Premium Member
Is the measure of two exterior angles of a triangle PQR, each equal to  [#permalink]

Show Tags

New post 12 Apr 2018, 22:45
3
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

42% (00:41) correct 58% (03:50) wrong based on 65 sessions

HideShow timer Statistics

Is the measure of two exterior angles of a triangle PQR, each equal to 120 degrees?

(1) PQR is NOT an isosceles triangle.

(2) Measure of angle P is 70 degrees.

(Inspired by a Bunuel's question)
Manager
Manager
User avatar
P
Joined: 22 Feb 2018
Posts: 246
Is the measure of two exterior angles of a triangle PQR, each equal to  [#permalink]

Show Tags

New post 14 Apr 2018, 10:39
1
amanvermagmat wrote:
Is the measure of two exterior angles of a triangle PQR, each equal to 120 degrees?

(1) PQR is NOT an isosceles triangle.

(2) Measure of angle P is 70 degrees.

(Inspired by a Bunuel's question)



OA:D
First simplify the question:Is the measure of two exterior angles of a triangle PQR, each equal to 120 degrees?
For a given triangle, Sum of all exterior angle is \(360^{\circ}\).
Attachment:
exterior-angles-triangle.png
exterior-angles-triangle.png [ 15.45 KiB | Viewed 451 times ]

if two exterior angles of a triangle PQR are to be 120 degrees i.e total \(2*120^{\circ} =240^{\circ}\),Third exterior angle should be also \(360^{\circ}-240^{\circ}=120^{\circ}\)
\(\angle\)P=\(\angle\)Q=\(\angle\)R= \(180^{\circ}-120^{\circ}\)(\(120^{\circ}\) being exterior angle)
\(\angle\)P=\(\angle\)Q=\(\angle\)R=\(60^{\circ}\)
Question is reduced to whether \(\triangle\)PQR is an equilateral triangle or not?

Statement 1 : PQR is NOT an isosceles triangle.
If PQR is not even isosceles triangle , it cannot be equilateral triangle.
So Statement 1 alone is sufficient to answer whether \(\triangle\)PQR is an equilateral triangle or not?

Statement 2 :Measure of angle P is 70 degrees.
Measure of \(\angle\) P is not \(60^{\circ}\), so PQR is not an equilateral triangle.
So Statement 2 alone is sufficient to answer whether \(\triangle\)PQR is an equilateral triangle or not?

so OA should be D
_________________

Good, good Let the kudos flow through you

Manager
Manager
User avatar
B
Joined: 01 Feb 2018
Posts: 50
Location: India
Concentration: Entrepreneurship, Marketing
GPA: 4
WE: Consulting (Consulting)
Is the measure of two exterior angles of a triangle PQR, each equal to  [#permalink]

Show Tags

New post 18 Apr 2018, 04:57
Princ wrote:
amanvermagmat wrote:
Is the measure of two exterior angles of a triangle PQR, each equal to 120 degrees?

(1) PQR is NOT an isosceles triangle.

(2) Measure of angle P is 70 degrees.

(Inspired by a Bunuel's question)



OA:D
First simplify the question:Is the measure of two exterior angles of a triangle PQR, each equal to 120 degrees?
For a given triangle, Sum of all exterior angle is \(360^{\circ}\).
Attachment:
exterior-angles-triangle.png

if two exterior angles of a triangle PQR are to be 120 degrees i.e total \(2*120^{\circ} =240^{\circ}\),Third exterior angle should be also \(360^{\circ}-240^{\circ}=120^{\circ}\)
\(\angle\)P=\(\angle\)Q=\(\angle\)R= \(180^{\circ}-120^{\circ}\)(\(120^{\circ}\) being exterior angle)
\(\angle\)P=\(\angle\)Q=\(\angle\)R=\(60^{\circ}\)
Question is reduced to whether \(\triangle\)PQR is an equilateral triangle or not?

Statement 1 : PQR is NOT an isosceles triangle.
If PQR is not even isosceles triangle , it cannot be equilateral triangle.
So Statement 1 alone is sufficient to answer whether \(\triangle\)PQR is an equilateral triangle or not?

Statement 2 :Measure of angle P is 70 degrees.
Measure of \(\angle\) P is not \(60^{\circ}\), so PQR is not an equilateral triangle.
So Statement 2 alone is sufficient to answer whether \(\triangle\)PQR is an equilateral triangle or not?

so OA should be D





(1) PQR is NOT an isosceles triangle.

As above statement (1) says triangle is not isosceles how can we conclude that such triangle is not equilateral :roll:

for gmat do we have to consider an equilateral triangle is isosceles from 3 sides ?? I think thats too much from GMAC. :sad:
DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1340
Location: India
Premium Member
Re: Is the measure of two exterior angles of a triangle PQR, each equal to  [#permalink]

Show Tags

New post 18 Apr 2018, 05:09
GMAT215 wrote:
Princ wrote:
amanvermagmat wrote:
Is the measure of two exterior angles of a triangle PQR, each equal to 120 degrees?

(1) PQR is NOT an isosceles triangle.

(2) Measure of angle P is 70 degrees.

(Inspired by a Bunuel's question)



OA:D
First simplify the question:Is the measure of two exterior angles of a triangle PQR, each equal to 120 degrees?
For a given triangle, Sum of all exterior angle is \(360^{\circ}\).
Attachment:
exterior-angles-triangle.png

if two exterior angles of a triangle PQR are to be 120 degrees i.e total \(2*120^{\circ} =240^{\circ}\),Third exterior angle should be also \(360^{\circ}-240^{\circ}=120^{\circ}\)
\(\angle\)P=\(\angle\)Q=\(\angle\)R= \(180^{\circ}-120^{\circ}\)(\(120^{\circ}\) being exterior angle)
\(\angle\)P=\(\angle\)Q=\(\angle\)R=\(60^{\circ}\)
Question is reduced to whether \(\triangle\)PQR is an equilateral triangle or not?

Statement 1 : PQR is NOT an isosceles triangle.
If PQR is not even isosceles triangle , it cannot be equilateral triangle.
So Statement 1 alone is sufficient to answer whether \(\triangle\)PQR is an equilateral triangle or not?

Statement 2 :Measure of angle P is 70 degrees.
Measure of \(\angle\) P is not \(60^{\circ}\), so PQR is not an equilateral triangle.
So Statement 2 alone is sufficient to answer whether \(\triangle\)PQR is an equilateral triangle or not?

so OA should be D





(1) PQR is NOT an isosceles triangle.

As above statement (1) says triangle is not isosceles how can we conclude that such triangle is not equilateral :roll:

for gmat do we have to consider an equilateral triangle is isosceles from 3 sides ?? I think thats too much from GMAC. :sad:


Hello

Its simple if we look at it this way:

If a triangle is not isosceles, then it obviously cannot be equilateral. An isosceles triangle is one where two of its sides are equal. So if a triangle has no 2 sides equal, then obviously it cannot have its all 3 sides equal. Question answered.
Manager
Manager
User avatar
B
Joined: 26 Sep 2017
Posts: 93
CAT Tests
Re: Is the measure of two exterior angles of a triangle PQR, each equal to  [#permalink]

Show Tags

New post 18 Apr 2018, 06:01
amanvermagmat wrote:
GMAT215 wrote:
Princ wrote:
[quote="amanvermagmat"]Is the measure of two exterior angles of a triangle PQR, each equal to 120 degrees?

(1) PQR is NOT an isosceles triangle.

(2) Measure of angle P is 70 degrees.

(Inspired by a Bunuel's question)



OA:D
First simplify the question:Is the measure of two exterior angles of a triangle PQR, each equal to 120 degrees?
For a given triangle, Sum of all exterior angle is \(360^{\circ}\).
Attachment:
exterior-angles-triangle.png

if two exterior angles of a triangle PQR are to be 120 degrees i.e total \(2*120^{\circ} =240^{\circ}\),Third exterior angle should be also \(360^{\circ}-240^{\circ}=120^{\circ}\)
\(\angle\)P=\(\angle\)Q=\(\angle\)R= \(180^{\circ}-120^{\circ}\)(\(120^{\circ}\) being exterior angle)
\(\angle\)P=\(\angle\)Q=\(\angle\)R=\(60^{\circ}\)
Question is reduced to whether \(\triangle\)PQR is an equilateral triangle or not?

Statement 1 : PQR is NOT an isosceles triangle.
If PQR is not even isosceles triangle , it cannot be equilateral triangle.
So Statement 1 alone is sufficient to answer whether \(\triangle\)PQR is an equilateral triangle or not?

Statement 2 :Measure of angle P is 70 degrees.
Measure of \(\angle\) P is not \(60^{\circ}\), so PQR is not an equilateral triangle.
So Statement 2 alone is sufficient to answer whether \(\triangle\)PQR is an equilateral triangle or not?

so OA should be D





(1) PQR is NOT an isosceles triangle.

As above statement (1) says triangle is not isosceles how can we conclude that such triangle is not equilateral :roll:

for gmat do we have to consider an equilateral triangle is isosceles from 3 sides ?? I think thats too much from GMAC. :sad:


Hello

Its simple if we look at it this way:

If a triangle is not isosceles, then it obviously cannot be equilateral. An isosceles triangle is one where two of its sides are equal. So if a triangle has no 2 sides equal, then obviously it cannot have its all 3 sides equal. Question answered.[/quote]It is given pqr is not an isoceles might be it is equlitateral which is not termed as isoceles , so how
Stment 1 suffices i also dont think so.

Sent from my BND-AL10 using GMAT Club Forum mobile app
Manager
Manager
User avatar
P
Joined: 22 Feb 2018
Posts: 246
Re: Is the measure of two exterior angles of a triangle PQR, each equal to  [#permalink]

Show Tags

New post 18 Apr 2018, 06:41
1
Princ wrote:
amanvermagmat wrote:
Is the measure of two exterior angles of a triangle PQR, each equal to 120 degrees?

(1) PQR is NOT an isosceles triangle.

(2) Measure of angle P is 70 degrees.

(Inspired by a Bunuel's question)



OA:D
First simplify the question:Is the measure of two exterior angles of a triangle PQR, each equal to 120 degrees?
For a given triangle, Sum of all exterior angle is \(360^{\circ}\).
Attachment:
exterior-angles-triangle.png

if two exterior angles of a triangle PQR are to be 120 degrees i.e total \(2*120^{\circ} =240^{\circ}\),Third exterior angle should be also \(360^{\circ}-240^{\circ}=120^{\circ}\)
\(\angle\)P=\(\angle\)Q=\(\angle\)R= \(180^{\circ}-120^{\circ}\)(\(120^{\circ}\) being exterior angle)
\(\angle\)P=\(\angle\)Q=\(\angle\)R=\(60^{\circ}\)
Question is reduced to whether \(\triangle\)PQR is an equilateral triangle or not?

Statement 1 : PQR is NOT an isosceles triangle.
If PQR is not even isosceles triangle , it cannot be equilateral triangle.
So Statement 1 alone is sufficient to answer whether \(\triangle\)PQR is an equilateral triangle or not?

Statement 2 :Measure of angle P is 70 degrees.
Measure of \(\angle\) P is not \(60^{\circ}\), so PQR is not an equilateral triangle.
So Statement 2 alone is sufficient to answer whether \(\triangle\)PQR is an equilateral triangle or not?

so OA should be D


viv007 GMAT215
As per GMAT Official Guide Quantitative Review 2018 (Page : 37)
Quote:
An equilateral triangle has all sides of equal length. All angles of an equilateral triangle have equal measure. An isosceles triangle has at least two sides of the same length.

So as per GMAC, Equilateral triangles are subset of Isosceles triangles.
All Equilateral triangle are Isosceles triangle as per GMAC, but opposite is not true.
_________________

Good, good Let the kudos flow through you

Director
Director
avatar
G
Joined: 02 Oct 2017
Posts: 616
Re: Is the measure of two exterior angles of a triangle PQR, each equal to  [#permalink]

Show Tags

New post 27 Apr 2018, 09:39
I) triangle is not isosceles means two interior angles of triangle are not equal.
If two interior angles of triangle are not equal their exterior angles are also not equal.
Sufficient

2) P=70
Then max value of other two angles of triangle is 55 if they are isosceles
But they are not so exterior angles will not be equal to 120
Sufficient

Ans D

Posted from my mobile device
Re: Is the measure of two exterior angles of a triangle PQR, each equal to &nbs [#permalink] 27 Apr 2018, 09:39
Display posts from previous: Sort by

Is the measure of two exterior angles of a triangle PQR, each equal to

  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®.