|
|
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.
06 Feb 2023, 09:15
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
68% (01:20) correct
32%
(01:21)
wrong
based on 60
sessions
History
Date
Time
Result
Not Attempted Yet
In the above figure, what is the area of the circle with center C?
(1) The length of minor arc AB is one-sixth of the circumference.
(2) The length of chord AB is 8.
Attachment:
2023-01-04_16-11-37.png [ 16.08 KiB | Viewed 1804 times ]
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
06 Feb 2023, 23:34
Kudos
Bookmarks
Bunuel
Solution:
Pre Analysis:
- We are asked about the area of the given circle
- So, we basically need the radius of the circle
Statement 1: The length of minor arc AB is one-sixth of the circumference
- Let us assume \(\angle ACB=\theta\)
- Accordign to this statement, \(\frac{\theta}{360}\times 2\pi r=\frac{1}{6}2\pi r\) or \(\theta=60^o\)
- We already know that \(\angle CAB=\angle CBA\) because they are opposite to equal sides which are radius
- Thus we can infer that \(AB=BC=CA\)
- But we still do not get the value of AC or CB or radius
- Thus, statement 1 alone is not sufficient and we can eliminate options A and D
Statement 2: The length of chord AB is 8
- Knowing the length of the chord will not help us get the radius
- Thus, statement 2 alone is also not sufficient
Combining:
- From statement 1, we get \(AB=BC=CA\)
- From statement 2, we get \(AB=8\)
- After combining, we get the length of radius \(AC=CB=8\)
Hence the right answer is Option C
Moderator:
