GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Nov 2018, 23:59

### 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

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

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

November 22, 2018

November 22, 2018

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
• ### Free lesson on number properties

November 23, 2018

November 23, 2018

10:00 PM PST

11:00 PM PST

Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

# What is the measure of angle AOB in the circle with center O?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50712
What is the measure of angle AOB in the circle with center O?  [#permalink]

### Show Tags

02 Sep 2018, 22:42
00:00

Difficulty:

25% (medium)

Question Stats:

74% (00:56) correct 26% (01:08) wrong based on 66 sessions

### HideShow timer Statistics

What is the measure of angle AOB in the circle with center O?

(1) Major arc AB is greater than 180°.
(2) Minor arc AB is 1/11 of the circumference.

_________________
Intern
Joined: 02 Jun 2018
Posts: 13
Re: What is the measure of angle AOB in the circle with center O?  [#permalink]

### Show Tags

02 Sep 2018, 23:10
B alone is enough to find the minor angle.

1/11 (2. pi.r) = (x° / 360) (2. pi.r)

=> x can be found

Posted from my mobile device
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
What is the measure of angle AOB in the circle with center O?  [#permalink]

### Show Tags

03 Sep 2018, 08:04
Bunuel wrote:
What is the measure of angle AOB in the circle with center O?

(1) Major arc AB is greater than 180°.
(2) Minor arc AB is 1/11 of the circumference.

Question stem: $$\angle{AOB}$$=?

St1:- Major arc AB is greater than 180°.
Greatest measure of an arc of a circle is the measure of circumference, i.e, $$2\pi*r$$
Given, Major Arc $$AB>\pi$$
So,$$\pi$$<Arc AB <$$2\pi*r$$
No unique value of arc AB as measure of radius is not known and length of arc AB is a variant.
And measure of $$\angle{AOB}$$ is dependent on the measure of arc AB.
Therefore, insufficient.

St2:- Minor arc AB is 1/11 of the circumference
Or, Minor Arc AB=$$\frac{2\pi*r}{11}$$
$$\angle{AOB}$$ formed by minor arc AB=$$\frac{Arc_{AB}}{Radius}$$=$$\frac{\frac{2\pi*r}{11}}{r}=\frac{2\pi}{11}$$

Sufficient.

Ans. (B)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Intern
Joined: 07 Jun 2018
Posts: 20
Location: India
GPA: 3.9
WE: Marketing (Insurance)
Re: What is the measure of angle AOB in the circle with center O?  [#permalink]

### Show Tags

03 Sep 2018, 21:25
1
Bunuel wrote:
What is the measure of angle AOB in the circle with center O?

(1) Major arc AB is greater than 180°.
(2) Minor arc AB is 1/11 of the circumference.

The question is asking a definite value.
1) The information that Major arc is greater than 180° does not give any information which can give definite information about the angle. Hence, insufficient.
2) The arc and angle it forms at the center are directly proportional. For 360°, circumference is 2$$\pi$$r. So, if arc vs circumference ratio is known, angle it is forming at center can be easily calculated. Hence, sufficient.
Hence, B is correct option.
_________________

Give a Kudo, If I deserve it.

Target 750+
• 17th June 2018 - Diagnostic Test - Kaplan Premier 2015 - 570
• 10th Aug 2018 - Veritas 1 - 650 (Q51,V29)
• 17th Aug 2018 - Veritas 2 - 670 (Q49,V33)
• 24th Aug 2018 - Veritas 3 - 650 (Q49,V30)
• 1st Sep 2018 - Veritas 4 - 680 (Q51,V33)
• 12th Aug 2018 - Veritas 5 - 690 (Q51,V34)
• 30th Sep 2018 - GMAT Official Prep - 640 (Q50,V26)

What do you think? Will I achieve my target score?

Manager
Joined: 01 Feb 2018
Posts: 69
Location: India
Concentration: Entrepreneurship, Marketing
GPA: 4
WE: Consulting (Consulting)
Re: What is the measure of angle AOB in the circle with center O?  [#permalink]

### Show Tags

10 Nov 2018, 03:38
In this question, angle AOB, is ON major arc or minor arc??

If it's major arc angle will be say towards 360 degree. Whereas AOB is made using minor arc, angle will be towards zero..

Question no where specifies which part of circle is to be used... Hence we have two different angles..

So, E may be correct answer.

If u don't agree with this thought process. Pls mention why..

N if I am making some real mistake while thinking this way.. Pls come to rescue

Posted from my mobile device
DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1375
Location: India
Re: What is the measure of angle AOB in the circle with center O?  [#permalink]

### Show Tags

10 Nov 2018, 06:02
GMAT215 wrote:
In this question, angle AOB, is ON major arc or minor arc??

If it's major arc angle will be say towards 360 degree. Whereas AOB is made using minor arc, angle will be towards zero..

Question no where specifies which part of circle is to be used... Hence we have two different angles..

So, E may be correct answer.

If u don't agree with this thought process. Pls mention why..

N if I am making some real mistake while thinking this way.. Pls come to rescue

Posted from my mobile device

Hello

My thoughts on your query are these:

The question doesnt ask specifically about minor angle AOB (less than 180 degrees i mean) or major angle AOB (greater than 180 degrees i mean).
But in any case, from the second statement alone, we would be able to figure out minor angle AOB. If we can figure out minor angle AOB, we can also figure out major angle AOB. So in any case we have our answer with us.

Thats why I think answer should be B.
Re: What is the measure of angle AOB in the circle with center O? &nbs [#permalink] 10 Nov 2018, 06:02
Display posts from previous: Sort by