Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Dec 1511:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease.
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!- Dec 17
09:00 AM PST
-10:00 AM PST
Join Manhattan Prep instructor Whitney Garner for a fun—and thorough—review of logic-based (non-math) problems, with a particular emphasis on Data Sufficiency and Two-Parts. - Dec 18
10:00 AM PST
-11:00 AM PST
Here is the essential guide to securing scholarships as an MBA student! In this video, we explore the various types of scholarships available, including need-based and merit-based options. - Dec 21
11:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment
17 Sep 2017, 11:44
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
80% (01:24) correct
20%
(01:09)
wrong
based on 59
sessions
History
Date
Time
Result
Not Attempted Yet
Circle P is inside Circle Q, and the two circles share the same center X. If the circumference of Q is four times the circumference of P, and the radius of Circle P is three, what is the difference between Circle Q’s diameter and Circle P’s diameter?
A 6
B 9
C 12
D 18
E 24
A 6
B 9
C 12
D 18
E 24
17 Sep 2017, 14:01
Kudos
Bookmarks
SajjadAhmad
Circle P is inside Circle Q, and the two circles share the same center X. If the circumference of Q is four times the circumference of P, and the radius of Circle P is three, what is the difference between Circle Q’s diameter and Circle P’s diameter?
A 6
B 9
C 12
D 18
E 24
This question requires us to find the diameter of larger Circle Q. A 6
B 9
C 12
D 18
E 24
Circle P's radius is given. From that derive P's diameter and circumference, then Q's circumference and diameter.
Circle P radius = 3, so
P's diameter is \(2r = 6\)
P's circumference is \(\pi*d\)
P's circumference = \(6\pi\)
Circle Q's circumference is four times that of P.
Q's circumference: \(6\pi * 4 = 24\pi\)
Circle Q's diameter is derived from its circumference:
Q's circumference:
\(24\pi = \pi*d\)
Q's diameter, \(d = 24\)
P's diameter, \(d = 6\)
The difference between the two diameters is (24 - 6) = 18
ANSWER D
22 Sep 2017, 11:45
Kudos
Bookmarks
SajjadAhmad
Circle P is inside Circle Q, and the two circles share the same center X. If the circumference of Q is four times the circumference of P, and the radius of Circle P is three, what is the difference between Circle Q’s diameter and Circle P’s diameter?
A 6
B 9
C 12
D 18
E 24
A 6
B 9
C 12
D 18
E 24
Since the radius of Circle P (the smaller circle) is 3, the diameter and circumference of Circle P are 6 and 6π, respectively. Since the circumference of Circle Q is four times the circumference of Circle P, the circumference and diameter of Circle Q are 24π and 24, respectively.
Thus, the difference between the diameters of Circles Q and P is 24 - 6 = 18.
Answer: D
