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

It is currently 20 Sep 2018, 11:33

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 in the figure above OR = 5, what is the length of QR?

  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: 49271
If in the figure above OR = 5, what is the length of QR?  [#permalink]

Show Tags

New post 29 Aug 2018, 02:21
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

79% (01:05) correct 21% (01:42) wrong based on 24 sessions

HideShow timer Statistics

Image
If in the figure above OR = 5, what is the length of QR?


(1) The measure of angle QOR = 60.

(2) The area of the triangle POR is 25.


Attachment:
image002.jpg
image002.jpg [ 4.97 KiB | Viewed 281 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: 733
Concentration: Strategy, General Management
Premium Member CAT Tests
Re: If in the figure above OR = 5, what is the length of QR?  [#permalink]

Show Tags

New post 29 Aug 2018, 02:29
Bunuel wrote:
Image
If in the figure above OR = 5, what is the length of QR?


(1) The measure of angle QOR = 60.

(2) The area of the triangle POR is 25.


Attachment:
image002.jpg


(1) The measure of angle QOR = 60.
It means QOR=ROQ=OQR=60=equilateral triangle QR=5
sufficient.

(2) The area of the triangle POR is 25.
area = b*h/2
no b , no h
insufficient.

A
Manager
Manager
User avatar
G
Joined: 18 Jul 2018
Posts: 191
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Premium Member CAT Tests
Re: If in the figure above OR = 5, what is the length of QR?  [#permalink]

Show Tags

New post 29 Aug 2018, 02:32
External Angle = Sum of the two interior Angles.

Angle OPQ + Anlge POQ = Angle OQR = 60.
30 + Angle POQ = 60
Angle POQ = 30.

From statement 1:

Given Angle QOR = 60. Means Angle POR is 90.
Then Angle ORP becomes 60.
OQR becomes equilateral triangle.

Then OR = QR = 5.
Sufficient.

From 2:

No idea about other angles.
Insufficient.

A is the answer.
Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 852
WE: Supply Chain Management (Energy and Utilities)
Premium Member CAT Tests
Re: If in the figure above OR = 5, what is the length of QR?  [#permalink]

Show Tags

New post 29 Aug 2018, 02:38
Bunuel wrote:
Image
If in the figure above OR = 5, what is the length of QR?


(1) The measure of angle QOR = 60.

(2) The area of the triangle POR is 25.
Attachment:
image002.jpg


Question stem:- what is the length of QR?

St1:- The measure of angle QOR = 60.

So, OQR is an equilateral triangle with QR=QO=OR=5 (In triangle OQR, Angle Q=Angle O=60, so Angle R=180-60-60=60. All angles are equal , hence all sides are equal)
Sufficient.

St2:- The area of the triangle POR is 25.
One angle, one side and area of triangle is given. We need one more criteria to determine area.
Insufficient.

Ans. (A)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Senior Manager
Senior Manager
User avatar
S
Joined: 07 Oct 2017
Posts: 273
Re: If in the figure above OR = 5, what is the length of QR?  [#permalink]

Show Tags

New post 29 Aug 2018, 02:57
Bunuel wrote:
Image
If in the figure above OR = 5, what is the length of QR?


(1) The measure of angle QOR = 60.

(2) The area of the triangle POR is 25.


Attachment:
image002.jpg
St1) triangle OQR is equilateral.
So each side is equal in this triangle.
Sufficient

St2) you are given area with OR as fixed length. Now the angle ORQ is not fixed. One can tilt it at a different angle.
We have

area = base * perpendicular height

Area is fixed. So we can keep changing the perpendicular height by changing the tilt of the line QR and hence base value will keep on changing to give a fixed area.

This requires a bit of imagination but that's the beauty of geometry DS questions

Answer is A



Thank you = Kudos
_________________

Thank you =Kudos
The best thing in life lies on the other side of the pain.

Re: If in the figure above OR = 5, what is the length of QR? &nbs [#permalink] 29 Aug 2018, 02:57
Display posts from previous: Sort by

If in the figure above OR = 5, what is the length of QR?

  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®.