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

It is currently 12 Nov 2018, 17:02

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

     08:00 PM MST

     09:00 PM MST

    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)

If each curved portion of the boundary of the figure attached is forme

  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: 50544
If each curved portion of the boundary of the figure attached is forme  [#permalink]

Show Tags

New post 18 Aug 2015, 08:19
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

58% (01:09) correct 42% (01:14) wrong based on 183 sessions

HideShow timer Statistics

Image
If each curved portion of the boundary of the figure above is formed from the circumference of two semicircles, each with a radius of 2, and each of the parallel sides has length 4, what is the area of the shaded figure?

A. 16
B. 32
C. \(16-8\pi\)
D. \(32-8\pi\)
E. \(32-4\pi\)

Attachment:
Kaplan.png
Kaplan.png [ 8.21 KiB | Viewed 2280 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

CEO
CEO
avatar
S
Joined: 20 Mar 2014
Posts: 2635
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: If each curved portion of the boundary of the figure attached is forme  [#permalink]

Show Tags

New post 18 Aug 2015, 09:21
Bunuel wrote:
Image
If each curved portion of the boundary of the figure above is formed from the circumference of two semicircles, each with a radius of 2, and each of the parallel sides has length 4, what is the area of the shaded figure?

A. 16
B. 32
C. \(16-8\pi\)
D. \(32-8\pi\)
E. \(32-4\pi\)

Attachment:
Kaplan.png


The rectangle created by the 2 parallel lines is of dimensions 4X8 = 32 units^2

The 4 semicircular regions will provide a net = 0 impact on the total area of the figure. Thus the total area of the figure = 32 \(\pm\)0 = 32. B is the correct answer.
Manager
Manager
User avatar
Joined: 14 Mar 2014
Posts: 147
GMAT 1: 710 Q50 V34
Re: If each curved portion of the boundary of the figure attached is forme  [#permalink]

Show Tags

New post 18 Aug 2015, 20:16
1
Bunuel wrote:
Image
If each curved portion of the boundary of the figure above is formed from the circumference of two semicircles, each with a radius of 2, and each of the parallel sides has length 4, what is the area of the shaded figure?

A. 16
B. 32
C. \(16-8\pi\)
D. \(32-8\pi\)
E. \(32-4\pi\)

Attachment:
The attachment Kaplan.png is no longer available


IMO : B =32

Shaded figure looks like a rectangle with 2 Semicircles added and 2 semicircles removed.
Now those 2 added semicircles will cancel out with the removed semicircles. Check out the below figure
Attachment:
11.jpg
11.jpg [ 14.06 KiB | Viewed 1871 times ]


The area of the shaded region is nothing but the area of the rectangle with sides 4 and 8.
Area = 8*4 =32
_________________

I'm happy, if I make math for you slightly clearer
And yes, I like kudos
¯\_(ツ)_/¯ :-)

Senior Manager
Senior Manager
User avatar
S
Joined: 21 Jan 2015
Posts: 345
Location: India
Concentration: Strategy, Marketing
GMAT 1: 620 Q48 V28
GMAT 2: 690 Q49 V35
WE: Sales (Consumer Products)
GMAT ToolKit User CAT Tests
Re: If each curved portion of the boundary of the figure attached is forme  [#permalink]

Show Tags

New post 18 Aug 2015, 20:42
2
Bunuel wrote:
If each curved portion of the boundary of the figure above is formed from the circumference of two semicircles, each with a radius of 2, and each of the parallel sides has length 4, what is the area of the shaded figure?

A. 16
B. 32
C. \(16-8\pi\)
D. \(32-8\pi\)
E. \(32-4\pi\)


Ans: B
Solution: If we shift these semicircle, which are out ward dense, to the blank space of the same size in between parallel lines we will get one big rectangle. so practically we need to find the area of the rectangle only.

which is 8x4= 32 [Ans]
_________________

--------------------------------------------------------------------
The Mind is Everything, What we Think we Become.
Kudos will encourage many others, like me.
Please Give Kudos Image !!
Thanks :-)

Manager
Manager
User avatar
Status: Build your own dreams,Otherwise some one else will hire you to build there's.
Joined: 30 Apr 2015
Posts: 88
Location: India
Concentration: Finance
Schools: BYU-Marriott'18
GMAT 1: 590 Q45 V26
GMAT 2: 660 Q47 V34
GPA: 3.68
GMAT ToolKit User
Re: If each curved portion of the boundary of the figure attached is forme  [#permalink]

Show Tags

New post 27 Feb 2016, 00:20
i thought the figure will form a rectangle when we stretch the sheet
But length will be 4 and breath will be combined circumference of two circle=2pir=4pi.
Please explain again with diagram.
_________________

"Follow your heart and realize that your dream is a dream for a reason"
-Dori Roberts

CEO
CEO
avatar
S
Joined: 20 Mar 2014
Posts: 2635
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
GMAT ToolKit User Premium Member Reviews Badge
Re: If each curved portion of the boundary of the figure attached is forme  [#permalink]

Show Tags

New post 27 Feb 2016, 04:38
mahakmalik wrote:
i thought the figure will form a rectangle when we stretch the sheet
But length will be 4 and breath will be combined circumference of two circle=2pir=4pi.
Please explain again with diagram.


Refer to if-each-curved-portion-of-the-boundary-of-the-figure-attached-is-forme-203894.html#p1562850
Director
Director
User avatar
P
Joined: 27 May 2012
Posts: 604
Premium Member
Re: If each curved portion of the boundary of the figure attached is forme  [#permalink]

Show Tags

New post 19 Oct 2018, 09:15
Bunuel wrote:
Image
If each curved portion of the boundary of the figure above is formed from the circumference of two semicircles, each with a radius of 2, and each of the parallel sides has length 4, what is the area of the shaded figure?

A. 16
B. 32
C. \(16-8\pi\)
D. \(32-8\pi\)
E. \(32-4\pi\)

Attachment:
Kaplan.png


Hi chetan2u,

Two semi circles circumference makes one whole circle circumference. So basically in this question we have to find the surface area of a cylinder with a height of 4 cms and radius 2 cms

so \(2*\pi *2\) *4 = \(16\pi\)
what's wrong with this logic ? Why is this not leading to the answer?
_________________

- Stne

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7022
Re: If each curved portion of the boundary of the figure attached is forme  [#permalink]

Show Tags

New post 20 Oct 2018, 05:55
stne wrote:
Bunuel wrote:
Image
If each curved portion of the boundary of the figure above is formed from the circumference of two semicircles, each with a radius of 2, and each of the parallel sides has length 4, what is the area of the shaded figure?

A. 16
B. 32
C. \(16-8\pi\)
D. \(32-8\pi\)
E. \(32-4\pi\)

Attachment:
Kaplan.png


Hi chetan2u,

Two semi circles circumference makes one whole circle circumference. So basically in this question we have to find the surface area of a cylinder with a height of 4 cms and radius 2 cms

so \(2*\pi *2\) *4 = \(16\pi\)
what's wrong with this logic ? Why is this not leading to the answer?


You are going wrong because you are taking it as a 3-d figure whereas it is just a 2-dimensional figure or a figure on a page..
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Intern
Intern
avatar
Joined: 01 Jul 2018
Posts: 7
Re: If each curved portion of the boundary of the figure attached is forme  [#permalink]

Show Tags

New post 27 Oct 2018, 06:03
* Each of the parallel side as 4 cm- For which the given figure above will be a square.

Area of square = 16
Area of 2 circle with radius 2 = 8pi^2

Area of shaded portion - 16- 8pi

(All Area in sq.cm and radius in cm)

Please let me know my mistake in solving the problem
GMAT Club Bot
Re: If each curved portion of the boundary of the figure attached is forme &nbs [#permalink] 27 Oct 2018, 06:03
Display posts from previous: Sort by

If each curved portion of the boundary of the figure attached is forme

  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®.