Last visit was: 14 Dec 2024, 11:35 It is currently 14 Dec 2024, 11:35
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
avatar
fozzzy
Joined: 29 Nov 2012
Last visit: 17 May 2015
Posts: 575
Own Kudos:
6,335
 []
Given Kudos: 543
Posts: 575
Kudos: 6,335
 []
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 14 Dec 2024
Posts: 97,877
Own Kudos:
Given Kudos: 88,270
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,877
Kudos: 685,852
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Konstantin1983
Joined: 02 Dec 2014
Last visit: 08 Dec 2021
Posts: 304
Own Kudos:
Given Kudos: 353
Location: Russian Federation
Concentration: General Management, Economics
GMAT 1: 640 Q44 V33
WE:Sales (Telecommunications)
GMAT 1: 640 Q44 V33
Posts: 304
Kudos: 310
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
ENGRTOMBA2018
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,341
Own Kudos:
Given Kudos: 816
Concentration: Finance, Strategy
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Products:
GMAT 1: 750 Q49 V44
Posts: 2,341
Kudos: 3,705
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Konstantin1983
Bunuel

In the figure above, a circular hoop is rolling along a flat surface in a straight line. If point A touches the surface at 25-inch intervals, then the radius of the hoop is approximately

A) 8 in
B) 7 in
C) 6 in
D) 5 in
E) 4 in

We are basically given that the circumference of the circle is 24 inches --> \(2\pi{r}=25\) --> \(r=\frac{25}{2\pi}\approx{\frac{25}{6.28}}\approx{4}\).

Answer: E.
Bunuel! I think you meant 25 inch not 24 (bold part). Thanks!

Thanks, post updated.
User avatar
VeritasPrepDennis
User avatar
Veritas Prep GMAT Instructor
Joined: 15 Jul 2015
Last visit: 08 Jul 2022
Posts: 109
Own Kudos:
Given Kudos: 11
GPA: 3.62
WE:Corporate Finance (Consulting)
Expert reply
Posts: 109
Kudos: 182
Kudos
Add Kudos
Bookmarks
Bookmark this Post
If Point A on the hoop leaves a mark every 25 inches, the hoop has a Circumference of 25. The formula for Circumference is 2 pi r. Since the question is asking for the radius, we can calculate it. 25 = 2 pi r ==> 12.5 = pi r ==> 12.5/pi = r

If we approximate pi as 3, r is approximately 4.

Correct answer is E
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 35,825
Own Kudos:
Posts: 35,825
Kudos: 930
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Moderator:
Math Expert
97877 posts