It is currently 22 Jan 2018, 02:30

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

Events & Promotions in June
Open Detailed Calendar

In the figure above, AB represents a ramp and the circle represents a

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43363
In the figure above, AB represents a ramp and the circle represents a [#permalink]

Show Tags

New post 23 Nov 2017, 22:29
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

78% (00:43) correct 22% (01:15) wrong based on 22 sessions

HideShow timer Statistics

Image
In the figure above, AB represents a ramp and the circle represents a wheel that has radius 1.5 feet. If the wheel is rolled up the top of the ramp, which of the following is closest to the number of revolutions it will make?

(A) 1 2/3
(B) 2
(C) 3 1/2
(D) 5
(E) 10

[Reveal] Spoiler:
Attachment:
2017-11-23_2026_001.png
2017-11-23_2026_001.png [ 6.52 KiB | Viewed 274 times ]
[Reveal] Spoiler: OA

_________________

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
Joined: 18 Aug 2016
Posts: 627
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Premium Member Reviews Badge
Re: In the figure above, AB represents a ramp and the circle represents a [#permalink]

Show Tags

New post 24 Nov 2017, 00:09
Bunuel wrote:
[img]https://gmatclub.com/forum/download/file.php?id=38810[img][/img][/img]
In the figure above, AB represents a ramp and the circle represents a wheel that has radius 1.5 feet. If the wheel is rolled up the top of the ramp, which of the following is closest to the number of revolutions it will make?

(A) 1 2/3
(B) 2
(C) 3 1/2
(D) 5
(E) 10

[Reveal] Spoiler:
Attachment:
2017-11-23_2026_001.png


Circumference of circle = 2 * pie * r = 3* pie
Distance = 15
Revolutions = 15/3*pie = 35/22 = ~1 2/3

A
_________________

We must try to achieve the best within us


Thanks
Luckisnoexcuse

1 KUDOS received
VP
VP
avatar
P
Joined: 22 May 2016
Posts: 1259
Premium Member CAT Tests
Re: In the figure above, AB represents a ramp and the circle represents a [#permalink]

Show Tags

New post 24 Nov 2017, 09:11
1
This post received
KUDOS
Bunuel wrote:
[img]https://gmatclub.com/forum/download/file.php?id=38810[img][/img][/img]
In the figure above, AB represents a ramp and the circle represents a wheel that has radius 1.5 feet. If the wheel is rolled up the top of the ramp, which of the following is closest to the number of revolutions it will make?

(A) 1 2/3
(B) 2
(C) 3 1/2
(D) 5
(E) 10

[Reveal] Spoiler:
Attachment:
2017-11-23_2026_001.png

In distance, D, problems with wheels and number of revolutions:

D = (circumference, c) * (# of revolutions), so

# of revolutions = \(\frac{D}{c}\)

D = ramp AB length = hypotenuse
The 3x-4x-5x right triangle has multiplier of 3:
(5*3)= 15 = ramp AB length = D*

Circumference of wheel A
2πr = 2π(1.5) = 3π
\(c = (3)(3.14)\approx{9.4}\)

# revolutions =
\(\frac{D}{c}=\frac{15}{9.4}\approx{1.59}\), or \(1.6\)

Answer A

Bunuel , the first image of the figure does not show up, though the one in the spoiler does. I tried two browsers.

*OR Pythagorean theorem, \(9^2 + 12^2 = h^2\)
\(81 + 144 = 225 = h^2\)
\(\sqrt{h^2}=\sqrt{225}\) , so \(h=15\)

_________________

At the still point, there the dance is. -- T.S. Eliot
Formerly genxer123

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43363
Re: In the figure above, AB represents a ramp and the circle represents a [#permalink]

Show Tags

New post 24 Nov 2017, 09:14
genxer123 wrote:
Bunuel wrote:
[img]https://gmatclub.com/forum/download/file.php?id=38810[img][/img][/img]
In the figure above, AB represents a ramp and the circle represents a wheel that has radius 1.5 feet. If the wheel is rolled up the top of the ramp, which of the following is closest to the number of revolutions it will make?

(A) 1 2/3
(B) 2
(C) 3 1/2
(D) 5
(E) 10

[Reveal] Spoiler:
Attachment:
2017-11-23_2026_001.png

In distance, D, problems with wheels and number of revolutions:

D = (circumference, c) * (# of revolutions), so

# of revolutions = \(\frac{D}{c}\)

D = ramp AB length = hypotenuse
The 3x-4x-5x right triangle has multiplier of 3:
(5*3)= 15 = ramp AB length = D*

Circumference of wheel A
2πr = 2π(1.5) = 3π
\(c = (3)(3.14)\approx{9.4}\)

# revolutions =
\(\frac{D}{c}=\frac{15}{9.4}\approx{1.59}\), or \(1.6\)

Answer A

Bunuel , the first image of the figure does not show up, though the one in the spoiler does. I tried two browsers.

*OR Pythagorean theorem, \(9^2 + 12^2 = h^2\)
\(81 + 144 = 225 = h^2\)
\(\sqrt{h^2}=\sqrt{225}\) , so \(h=15\)

_______________
Edited. Thank you.
_________________

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

Re: In the figure above, AB represents a ramp and the circle represents a   [#permalink] 24 Nov 2017, 09:14
Display posts from previous: Sort by

In the figure above, AB represents a ramp and the circle represents a

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.