|
|
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.
13 Sep 2018, 02:31
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
64% (01:44) correct
36%
(01:41)
wrong
based on 27
sessions
History
Date
Time
Result
Not Attempted Yet
If the figure above shows part of a circle with arcs of length 3 and a that alternate around the entire circumference so that there are a total of 36 such arcs, what is the degree measure of one arc of length a?
(1) The circumference of the circle is 90.
(2) The length of a is 2.
Attachment:
image012.jpg [ 2.08 KiB | Viewed 1773 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
13 Sep 2018, 03:16
Kudos
Bookmarks
Bunuel
36 such arcs i.e. 18 arcs of length 3 and 18 arcs of length a
i.e. Total Circumference\(= 18*(a+3) = 18a+54\)
Question: Degree measure of arc of length a = ?
Statement 1: The circumference of the circle is 90.
i.e. \(18*(a+3) = 18a+54=90\)
now \((Angle/360) = 36/90\)
i.e. Angle for all \(18a = 144\)
i.e. angle of \(a = 8º\)
SUFFICIENT
Statement 2: The length of a is 2
Using this also total circumference can be calculated
as \(18a+54 = 18*2+54 = 90\)
i.e. now \((Angle/360) = 36/90\)
i.e. Angle for all \(18a = 144\)
i.e. angle of \(a = 8º\)
SUFFICIENT
ANswer: Option D
Moderator:
