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

It is currently 16 Dec 2018, 13:08

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
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free GMAT Prep Hour

     December 16, 2018

     December 16, 2018

     03:00 PM EST

     04:00 PM EST

    Strategies and techniques for approaching featured GMAT topics
  • FREE Quant Workshop by e-GMAT!

     December 16, 2018

     December 16, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

In the figure above, each of the four squares has sides of length x.

  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: 51229
In the figure above, each of the four squares has sides of length x.  [#permalink]

Show Tags

New post 05 Jul 2018, 04:11
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

95% (01:23) correct 5% (02:46) wrong based on 26 sessions

HideShow timer Statistics

Image
In the figure above, each of the four squares has sides of length x. If ∆PQR is formed by joining the centers of three of the squares, what is the perimeter of ∆PQR in terms of x ?


(A) \(2x \sqrt{2}\)

(B) \(\frac{x\sqrt2}{2}\) \(+ x\)

(C) \(2x + \sqrt{2}\)

(D) \(x \sqrt{2} + 2\)

(E) \(2x + x \sqrt{2}\)


Attachment:
square (1).jpg
square (1).jpg [ 14.04 KiB | Viewed 373 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
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Premium Member
Re: In the figure above, each of the four squares has sides of length x.  [#permalink]

Show Tags

New post 05 Jul 2018, 04:44
Bunuel wrote:
Image
In the figure above, each of the four squares has sides of length x. If ∆PQR is formed by joining the centers of three of the squares, what is the perimeter of ∆PQR in terms of x ?


(A) \(2x \sqrt{2}\)

(B) \(\frac{x\sqrt2}{2}\) \(+ x\)

(C) \(2x + \sqrt{2}\)

(D) \(x \sqrt{2} + 2\)

(E) \(2x + x \sqrt{2}\)
Attachment:
square (1).jpg


We have, PQ=\(\frac{x}{2}+\frac{x}{2}=x\)
and QR=\(\frac{x}{2}+\frac{x}{2}=x\)
in the right angled triangle \(RP^2=PQ^2+QR^2=x^2+x^2=2x^2\)
So, \(RP=x\sqrt{2}\)

Perimeter of \(∆PQR=PQ+QR+RP=x+x+x\sqrt{2}\)=\(2x + x \sqrt{2}\)

Ans. (E)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3327
Location: India
GPA: 3.12
Premium Member CAT Tests
In the figure above, each of the four squares has sides of length x.  [#permalink]

Show Tags

New post 05 Jul 2018, 05:09
Image

Since this triangle is formed by joining the centers of three triangles, the sides
PQ and QR will super-impose into any of the squares. The triangle ∆PQR is half
the square, where the third side(PR) is the diagonal of the square, which is \(x\sqrt{2}\)

Therefore, the perimeter of the triangle(∆PQR) is \(x + x + x\sqrt{2} = 2x + x\sqrt{2}\) (Option E)

_________________

You've got what it takes, but it will take everything you've got

GMAT Club Bot
In the figure above, each of the four squares has sides of length x. &nbs [#permalink] 05 Jul 2018, 05:09
Display posts from previous: Sort by

In the figure above, each of the four squares has sides of length x.

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


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®.