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

 It is currently 22 Jan 2019, 03:03

### 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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winners of the GMAT game show

January 22, 2019

January 22, 2019

10:00 PM PST

11:00 PM PST

In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
• ### Key Strategies to Master GMAT SC

January 26, 2019

January 26, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# In the figure above, what is the average (arithmetic mean) degree meas

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52385
In the figure above, what is the average (arithmetic mean) degree meas  [#permalink]

### Show Tags

24 Aug 2017, 22:46
2
3
00:00

Difficulty:

(N/A)

Question Stats:

58% (01:48) correct 42% (01:22) wrong based on 92 sessions

### HideShow timer Statistics

In the figure above, what is the average (arithmetic mean) degree measure of the 12 marked angles?

(A) 40
(B) 50
(C) 60
(D) 70
(E) cannot be determined from the given information

Attachment:

2017-08-25_1041_001.png [ 18.09 KiB | Viewed 1721 times ]

_________________
Manager
Joined: 27 Dec 2016
Posts: 236
Concentration: Marketing, Social Entrepreneurship
GPA: 3.65
WE: Marketing (Education)
Re: In the figure above, what is the average (arithmetic mean) degree meas  [#permalink]

### Show Tags

25 Aug 2017, 10:12
Bunuel wrote:

In the figure above, what is the average (arithmetic mean) degree measure of the 12 marked angles?

(A) 40
(B) 50
(C) 60
(D) 70
(E) cannot be determined from the given information

Attachment:
2017-08-25_1041_001.png

- Total angles who meet in the centre should be 360-120 = 240.
- IF we assume that the centre angle of each triangle IS SAME, we can calculate the average.
- However, we can assume anything from given picture, so we can calculate.

E.

Waiting great explanation from Bunuel
_________________

There's an app for that - Steve Jobs.

Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3334
Location: India
GPA: 3.12
In the figure above, what is the average (arithmetic mean) degree meas  [#permalink]

### Show Tags

25 Aug 2017, 10:21
3
1

Let's call the point of intersection of the 6 triangles O, around which the sum of the angles is 360.
Since, the angle given is 120 degree, the remainder of the angles is 240.

There are 6 triangles and the angle(in each of the 6 triangles around point O) is $$\frac{240}{6} = 40$$
Since the sum of angles in a triangle is 180, the sum of the other 2 angles in each of the triangles is 140.

Therefore, the average degree measure is $$\frac{140*6}{12} =$$ 70(Option D)
_________________

You've got what it takes, but it will take everything you've got

Intern
Joined: 28 Mar 2018
Posts: 46
Re: In the figure above, what is the average (arithmetic mean) degree meas  [#permalink]

### Show Tags

20 Apr 2018, 09:47
We know that a full circle on a flat plane is 360 degrees.
Since 120 degrees are accounted for the total for the centerpoint angles on the 6 triangles shown must be 240
240/6= 40
Therefore we know that on average one angle of each of the triangles is 40.
Because triangle angles must sum to 180, we know that on average the sum of the other two angles for each triangle is 140. Divide 140 by 2 angles and we can say that on average, the listed angles are 70 degrees!
Senior Manager
Joined: 29 Dec 2017
Posts: 386
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
GMAT 2: 690 Q47 V37
GMAT 3: 710 Q50 V37
GPA: 3.25
WE: Marketing (Telecommunications)
In the figure above, what is the average (arithmetic mean) degree meas  [#permalink]

### Show Tags

20 Apr 2018, 11:39
Sum of angles of heptagon (7 sided polygon) = 180*(7-2)= 900
Sum of 2 angles of the triangle x+y= 180-120 = 60, so the sum of rest 12 angles = 900-60 = 840 and Av = 840/12 = 70

Attachments

2017-08-25_1041_001.png [ 18.91 KiB | Viewed 356 times ]

In the figure above, what is the average (arithmetic mean) degree meas &nbs [#permalink] 20 Apr 2018, 11:39
Display posts from previous: Sort by