GRE Prep 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.
In circle C, is a diameter, and the measure of central angle BCD is 3
[#permalink]
18 Sep 2021, 00:43
18 Sep 2021, 00:43
Expert Reply
00:00
Question Stats:
46% (02:45) correct
53% (02:48) wrong based on 15 sessions
Hide Show timer Statistics
Attachment:
GRE In circle C.jpg [ 17.89 KiB | Viewed 1342 times ]
In circle C, \( \overline{AD}\) is a diameter, and the measure of central angle BCD is 3x° + 10°, of central angle DCE is 2x°, and of central angle ACE is x° + 90°.
Quantity A |
Quantity B |
The degree measure of minor arc \(\widehat{AB}\) |
85 degrees |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: In circle C, is a diameter, and the measure of central angle BCD is 3
[#permalink]
18 Sep 2021, 11:25
18 Sep 2021, 11:25
2
Carcass wrote:
Attachment:
GRE In circle C.jpg
In circle C, \( \overline{AD}\) is a diameter, and the measure of central angle BCD is 3x° + 10°, of central angle DCE is 2x°, and of central angle ACE is x° + 90°.
Quantity A |
Quantity B |
The degree measure of minor arc \(\widehat{AB}\) |
85 degrees |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Since AD is the diameter, \(\angle{ACE} + \angle{CDE} => x + 90° + 2x = 180° => x = 30°\)
So \( \angle{ACB} = 180° - 3x -10° = 180° - 90° -10° = 80°\)
Quantity B is larger, Answer is B)
gmatclubot
Re: In circle C, is a diameter, and the measure of central angle BCD is 3 [#permalink]
18 Sep 2021, 11:25
Moderators:
