It is currently 19 Sep 2019, 21:53
My Tests

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.

Which of the following must be true?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 8139
Followers: 157

Kudos [?]: 1710 [0], given: 7485

CAT Tests
Which of the following must be true? [#permalink] New post 01 Oct 2018, 13:39
Expert's post
00:00

Question Stats:

81% (01:41) correct 18% (04:03) wrong based on 16 sessions
Attachment:
#GREpracticequestin Which of the following must be true.jpg
#GREpracticequestin Which of the following must be true.jpg [ 28.56 KiB | Viewed 1756 times ]


Which of the following must be true?

(I) The area of triangle P.

(II) The area of triangle Q.

(III) The area of triangle R.

(A) I = II = III
(B) I < II < III
(C) I > II < III
(D) III < I < II
(E) III > I > II
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

2 KUDOS received
Intern
Intern
Joined: 15 Sep 2018
Posts: 6
Followers: 0

Kudos [?]: 8 [2] , given: 2

Re: Which of the following must be true? [#permalink] New post 09 Sep 2019, 22:47
2
This post received
KUDOS
Triangle P is an equilateral triangle, therefore, the area is (3)^(1/2) * a^(2) / 4. Which equals 25 * 3^(1/2). Approx 42.5

Triangle Q has an area of (1/2) * 10 * 10 = 50.

Also, we can determine the value of y from triangle Q. The triangle is an isosceles triangle, therefore the height must bisect the base. Using (5)^2 + (10)^2 = y^2, we get y = (125)^(1/2).

Triangle R has an area of 1/2 * y * y = 125/2 = 62.5

Therefore, P < Q < R => I < II < III.
Hence, the answer is B.
Re: Which of the following must be true?   [#permalink] 09 Sep 2019, 22:47
Display posts from previous: Sort by

Which of the following must be true?

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.