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

It is currently 13 Nov 2018, 08:08

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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • Essential GMAT Time-Management Hacks

     November 14, 2018

     November 14, 2018

     07:00 PM PST

     08:00 PM PST

    Join the webinar and learn time-management tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today! Nov. 14th at 7 PM PST
  • $450 Tuition Credit & Official CAT Packs FREE

     November 15, 2018

     November 15, 2018

     10:00 PM MST

     11:00 PM MST

    EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)

A rectangular sheet of paper, when halved by folding it at the mid

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

Hide Tags

Intern
Intern
avatar
B
Joined: 26 Sep 2018
Posts: 10
A rectangular sheet of paper, when halved by folding it at the mid  [#permalink]

Show Tags

New post 25 Oct 2018, 04:50
3
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

63% (02:07) correct 38% (02:19) wrong based on 40 sessions

HideShow timer Statistics

A rectangular sheet of paper, when halved by folding it at the mid point of its longer side, results in
a rectangle, whose longer and shorter sides are in the same proportion as the longer and shorter
sides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of the
smaller rectangle?

a. \(4 \sqrt{2}\)
b. \(2 \sqrt{2}\)
c. \(\sqrt{2}\)
d. 1
e. 3
CEO
CEO
User avatar
P
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2698
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
A rectangular sheet of paper, when halved by folding it at the mid  [#permalink]

Show Tags

New post 25 Oct 2018, 06:02
2
RhythmGMAT wrote:
A rectangular sheet of paper, when halved by folding it at the mid point of its longer side, results in
a rectangle, whose longer and shorter sides are in the same proportion as the longer and shorter
sides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of the
smaller rectangle?

a. \(4 \sqrt{2}\)
b. \(2 \sqrt{2}\)
c. \(\sqrt{2}\)
d. 1
e. 3


\(\frac{l}{b} = \frac{b}{(l/2)}\) where \(b = 2\) given

i.e. \(b^2 = l^2 / 2\)

i.e. \(l = 2√2\)

Area of smaller rectangle \(= (l/2)*b = (2√2/2)*2 = 2√2\)

Answer: Option B
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Senior Manager
Senior Manager
User avatar
D
Joined: 22 Feb 2018
Posts: 391
CAT Tests
Re: A rectangular sheet of paper, when halved by folding it at the mid  [#permalink]

Show Tags

New post 25 Oct 2018, 07:05
2
RhythmGMAT wrote:
A rectangular sheet of paper, when halved by folding it at the mid point of its longer side, results in
a rectangle, whose longer and shorter sides are in the same proportion as the longer and shorter
sides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of the
smaller rectangle?

a. \(4 \sqrt{2}\)
b. \(2 \sqrt{2}\)
c. \(\sqrt{2}\)
d. 1
e. 3


OA: B

Initial Rectangle Dimensions
longer side \(= x\)
Shorter side\(= 2\)

Dimensions after folding
Longer side \(= 2\)
Shorter side \(= \frac{x}{2}\)

As per question
\(\frac{x}{2}=\frac{2}{\frac{x}{2}}\)
\(x^2=8 \quad;\quad x=2\sqrt{2}\)

Dimensions of Shorter Rectangle
Longer side \(= 2\)
Shorter side \(=\frac{2\sqrt{2}}{2}=\sqrt{2}\)
Area of Shorter Rectangle \(= 2\sqrt{2}\)
_________________

Good, good Let the kudos flow through you

GMATH Teacher
User avatar
G
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 464
Re: A rectangular sheet of paper, when halved by folding it at the mid  [#permalink]

Show Tags

New post 25 Oct 2018, 14:13
2
RhythmGMAT wrote:
A rectangular sheet of paper, when halved by folding it at the mid point of its longer side, results in
a rectangle, whose longer and shorter sides are in the same proportion as the longer and shorter
sides of the original rectangle. If the shorter side of the original rectangle is 2, what is the area of the
smaller rectangle?

a. \(4 \sqrt{2}\)
b. \(2 \sqrt{2}\)
c. \(\sqrt{2}\)
d. 1
e. 3

\(?\,\, = 2x\)

Image


The rectangles shown above are similar, hence:

\({{2x} \over 2} = {2 \over x}\,\,\,\,\, \Rightarrow \,\,\,{x^2} = 2\,\,\,\,\,\mathop \Rightarrow \limits^{x\,\, > \,\,0} \,\,\,\,x = \sqrt 2 \,\,\,\,\,\,\, \Rightarrow \,\,\,\,\,? = 2\sqrt 2\)


This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
_________________

Fabio Skilnik :: https://www.GMATH.net (Math for the GMAT)
Course release PROMO : finish our test drive till 30/Nov with (at least) 50 correct answers out of 92 (12-questions Mock included) to gain a 50% discount!

GMAT Club Bot
Re: A rectangular sheet of paper, when halved by folding it at the mid &nbs [#permalink] 25 Oct 2018, 14:13
Display posts from previous: Sort by

A rectangular sheet of paper, when halved by folding it at the mid

  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®.