It is currently 23 Sep 2020, 22:03
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.

Three tennis balls of identical size are

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 13352
Followers: 288

Kudos [?]: 3384 [0], given: 12186

CAT Tests
Three tennis balls of identical size are [#permalink] New post 25 May 2018, 16:24
Expert's post
00:00

Question Stats:

62% (00:42) correct 37% (00:57) wrong based on 64 sessions
Attachment:
#GREpracticequestion Three tennis balls of identical size are stacked.jpg
#GREpracticequestion Three tennis balls of identical size are stacked.jpg [ 3.51 KiB | Viewed 1460 times ]


Three tennis balls of identical size are stacked one on top of the other so that they fit exactly inside a closed right cylindrical can, as shown.

Quantity A
Quantity B
The height of the stack of 3 balls
The circumference of one of the balls


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

2 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 3831
Followers: 148

Kudos [?]: 4484 [2] , given: 69

CAT Tests
Re: Three tennis balls [#permalink] New post 29 May 2018, 06:37
2
This post received
KUDOS
Expert's post
Carcass wrote:
Attachment:
tennis.jpg


Three tennis balls of identical size are stacked one on top of the other so that they fit exactly inside a closed right cylindrical can, as shown.

Quantity A
Quantity B
The height of the stack of 3 balls
The circumference of one of the balls


Let's examine Quantity A first

Let r = the radius of a tennis ball
Image


This means the HEIGHT of one tennis ball = r + r = 2r
Image
So, the height of the can = r + r + r + r + r + r = 6r

So, Quantity A = 6r

-----------------------------------
Now let's deal with Quantity B
Image

The circumference of a ball with radius r = the circumference of a circle with radius r
The circumference of a circle = 2πr
So, Quantity B = 2πr

-----------------------------------
We have:
Quantity A: 6r
Quantity B: 2πr

Since π ≈ 3.14, we know that 2π ≈ 6.28

So, we have:
Quantity A: 6r
Quantity B: 6.28r

We can see that Quantity B is greater.

Answer: B

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.
Image
Sign up for GRE Question of the Day emails

Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 13352
Followers: 288

Kudos [?]: 3384 [0], given: 12186

CAT Tests
Re: Three tennis balls [#permalink] New post 29 May 2018, 10:50
Expert's post
GREAT explanation Sir.

Regards
_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 3831
Followers: 148

Kudos [?]: 4484 [1] , given: 69

CAT Tests
Re: Three tennis balls [#permalink] New post 29 May 2018, 18:05
1
This post received
KUDOS
Expert's post
Carcass wrote:
GREAT explanation Sir.

Regards


Thanks!!!
_________________

Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.
Image
Sign up for GRE Question of the Day emails

1 KUDOS received
VP
VP
Joined: 20 Apr 2016
Posts: 1302
WE: Engineering (Energy and Utilities)
Followers: 22

Kudos [?]: 1310 [1] , given: 251

Re: Three tennis balls [#permalink] New post 06 Jul 2018, 06:12
1
This post received
KUDOS
Carcass wrote:
Attachment:
tennis.jpg


Three tennis balls of identical size are stacked one on top of the other so that they fit exactly inside a closed right cylindrical can, as shown.

Quantity A
Quantity B
The height of the stack of 3 balls
The circumference of one of the balls



Here,

Lets take diameter of the 1 tennis ball = 10 cm

so radius of the 1 tennis ball = 5 cm

Now QTY A;

Height of 3 tennis ball = 10 + 10 + 10 = 30 cm (i.e. the sum of the diameter of the tennis ball will give the total height)


Now QTY B

Circumference of 1 tennis ball = 2 * \pi * Radius = 2 * 3.14 * 5 = 31.4

Hence QTY A > QTY B.

**The diameter can be any value, for easy calculation 10 is assumed.
_________________

If you found this post useful, please let me know by pressing the Kudos Button


Rules for Posting

Got 20 Kudos? You can get Free GRE Prep Club Tests

GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests

Re: Three tennis balls   [#permalink] 06 Jul 2018, 06:12
Display posts from previous: Sort by

Three tennis balls of identical size are

  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®.