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

It is currently 26 May 2019, 10:37

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

What is the area of the triangle PQR?

  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: 55277
What is the area of the triangle PQR?  [#permalink]

Show Tags

New post 14 Sep 2018, 01:41
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

55% (01:34) correct 45% (01:29) wrong based on 22 sessions

HideShow timer Statistics

Manager
Manager
avatar
B
Joined: 09 Oct 2015
Posts: 237
Re: What is the area of the triangle PQR?  [#permalink]

Show Tags

New post 14 Sep 2018, 01:59
chetan2u can you please help with this
Director
Director
avatar
P
Joined: 31 Jul 2017
Posts: 516
Location: Malaysia
Schools: INSEAD Jan '19
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
What is the area of the triangle PQR?  [#permalink]

Show Tags

New post Updated on: 14 Sep 2018, 02:20
Bunuel wrote:
Image
What is the area of the triangle PQR?

(1) The radius of the circle is 5
(2) c = 1


Attachment:
image006.jpg


I feel, it should be C.

Statement I:

\(a+c = 10\), but nothing about b. Hence, Insufficient

Statement II:

\(c =1\), but nothing about a, b. Hence, Insufficient.

Combined:

\(a =9, c= 1\)

\(b^2 = 5^2 - 4^2, b = 3\)

Hence, C.
_________________
If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!

Originally posted by rahul16singh28 on 14 Sep 2018, 02:09.
Last edited by rahul16singh28 on 14 Sep 2018, 02:20, edited 1 time in total.
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7688
What is the area of the triangle PQR?  [#permalink]

Show Tags

New post 14 Sep 2018, 02:16
1
Bunuel wrote:
Image
What is the area of the triangle PQR?

(1) The radius of the circle is 5
(2) c = 1


Attachment:
The attachment image006.jpg is no longer available



rahulkashyap
The two things we require is the diameter and the place of point Q..
If you have these, you will be able to make a unique ∆PQR..
Now combined..
Radius is 5, so a unique circle...a+c=10
c is 1, so unique place of Q. And thus unique triangle.
So we should be able to get the area..

If it were a PS..
Join centre say O with Q..
So ∆OQS, S is the point on PR where altitude from Q drops..
Radius=OQ=5
OS=5-c=5-1=4
So QS=√(5^2-4^2)=√9=3

So area =1/2*3*10=15

C
Attachments

PicsArt_09-14-02.52.20.jpg
PicsArt_09-14-02.52.20.jpg [ 8.84 KiB | Viewed 464 times ]


_________________
GMAT Club Bot
What is the area of the triangle PQR?   [#permalink] 14 Sep 2018, 02:16
Display posts from previous: Sort by

What is the area of the triangle PQR?

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


cron
Copyright

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®.