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

It is currently 19 Sep 2018, 15:41

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

A cylindrical can placed on a table leaves a water ring that is 10% la

  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: 49251
A cylindrical can placed on a table leaves a water ring that is 10% la  [#permalink]

Show Tags

New post 02 Sep 2018, 23:14
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (01:38) correct 24% (00:40) wrong based on 38 sessions

HideShow timer Statistics

A cylindrical can placed on a table leaves a water ring that is 10% larger than the circumference of the bottom of the can. If the area of the bottom of the can is 25π, which of the following is area encircled by the water ring?


A. \(121\pi\)
B. \(110\pi\)
C. \(55\pi\)
D. \(30.25\pi\)
E. \(11\pi\)

_________________

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

Manager
Manager
avatar
S
Joined: 10 Jan 2013
Posts: 88
Location: India
Concentration: General Management, Strategy
GMAT 1: 600 Q43 V30
GPA: 3.95
GMAT ToolKit User Reviews Badge
Re: A cylindrical can placed on a table leaves a water ring that is 10% la  [#permalink]

Show Tags

New post 02 Sep 2018, 23:19
Shouldn't the answer be 30.25pi

Posted from my mobile device
Intern
Intern
User avatar
B
Joined: 16 Jul 2017
Posts: 19
Location: India
Concentration: Finance, Economics
CAT Tests
A cylindrical can placed on a table leaves a water ring that is 10% la  [#permalink]

Show Tags

New post Updated on: 03 Sep 2018, 23:26
1
25 pi = pi *r^2

r = 5

2*pi*r (circumference of can) = 10*pi

water ring that is 10% larger = 1.1(10*pi)
= 11*pi

2*pi*R = 11*pi
R= 11/2

The area is pi∗(11/2)^2 = 30.25*pi

Answer is D

Thanks PKN

Originally posted by Natty97 on 03 Sep 2018, 09:23.
Last edited by Natty97 on 03 Sep 2018, 23:26, edited 1 time in total.
Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 848
WE: Supply Chain Management (Energy and Utilities)
Premium Member CAT Tests
Re: A cylindrical can placed on a table leaves a water ring that is 10% la  [#permalink]

Show Tags

New post 03 Sep 2018, 19:23
1
Natty97 wrote:
25 pi = pi *r^2

r = 5

2*pi*r (circumference of can) = 10*pi

water ring that is 10% larger = 1.1(10*pi)
= 11*pi<<-------------This is the measure of circumference of water ring. We are asked to determine the area of water ring.

Answer is E


Hi Natty97,
Please refer the highlighted portion above, circumference of water ring=\(11\pi\)
Or, \(2\pi\)*radius of circular water ring=\(11\pi\)
Or, Radius of water ring=\(\frac{11}{2}\)

So, Area of water ring=\(\pi*(\frac{11}{2})^2=30.25\pi\)

Ans. (D)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6787
Re: A cylindrical can placed on a table leaves a water ring that is 10% la  [#permalink]

Show Tags

New post 03 Sep 2018, 19:46
Bunuel wrote:
A cylindrical can placed on a table leaves a water ring that is 10% larger than the circumference of the bottom of the can. If the area of the bottom of the can is 25π, which of the following is area encircled by the water ring?


A. \(121\pi\)
B. \(110\pi\)
C. \(55\pi\)
D. \(30.25\pi\)
E. \(11\pi\)



Circumference is 2πr..
So if we increase circumference by 10%, the effect will be on the radius only as other term 2π is constant...
So r becomes 1.1r

Now initial area =\(\pi*r^2=25\pi\)
And the new area is \(π*(1.1r)^2=π*1.21*r^2=1.21*πr^2=1.21*25=30.25\)

D
_________________

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

Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 848
WE: Supply Chain Management (Energy and Utilities)
Premium Member CAT Tests
Re: A cylindrical can placed on a table leaves a water ring that is 10% la  [#permalink]

Show Tags

New post 03 Sep 2018, 23:28
Natty97 wrote:
25 pi = pi *r^2

r = 5

2*pi*r (circumference of can) = 10*pi

water ring that is 10% larger = 1.1(10*pi)
= 11*pi

2*pi*R = 11*pi
R= 11/2

The area is pi∗(11/2)^2 = 30.25*pi

Answer is D

Thanks PKN


You are welcome.
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Re: A cylindrical can placed on a table leaves a water ring that is 10% la &nbs [#permalink] 03 Sep 2018, 23:28
Display posts from previous: Sort by

A cylindrical can placed on a table leaves a water ring that is 10% la

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

Events & Promotions

PREV
NEXT


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®.