It is currently 20 Jan 2018, 03:24

### 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 June
Open Detailed Calendar

# In the figure above, (a + b + c)/(s + t + u) =

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43335

Kudos [?]: 139549 [0], given: 12794

In the figure above, (a + b + c)/(s + t + u) = [#permalink]

### Show Tags

12 Aug 2017, 02:10
00:00

Difficulty:

35% (medium)

Question Stats:

85% (00:42) correct 15% (01:08) wrong based on 52 sessions

### HideShow timer Statistics

In the figure above, (a + b + c)/(s + t + u) =

(A) 1/3
(B) 1/2
(C) 2/3
(D) 1
(E) 3/2

[Reveal] Spoiler:
Attachment:

2017-08-12_1405.png [ 7.15 KiB | Viewed 512 times ]
[Reveal] Spoiler: OA

_________________

Kudos [?]: 139549 [0], given: 12794

VP
Joined: 22 May 2016
Posts: 1252

Kudos [?]: 464 [0], given: 683

In the figure above, (a + b + c)/(s + t + u) = [#permalink]

### Show Tags

12 Aug 2017, 02:55
Bunuel wrote:

In the figure above, (a + b + c)/(s + t + u) =

(A) 1/3
(B) 1/2
(C) 2/3
(D) 1
(E) 3/2

[Reveal] Spoiler:
Attachment:
2017-08-12_1405.png

Interior angles sum to 180
a + b + c = 180
Exterior angles sum to 360
s + t + u = 360

(a + b + c)/(s + t + u) = 180/380

$$\frac{180}{360}$$ = $$\frac{1}{2}$$

OR (exterior angle = sum of two non-adjacent angles)

b + c = s
a + c = t
a + b = u

b + c + a + c + a + b = s + t + u

2(a + b + c) = (s + t + u)

2(a + b + c)/(s + t + u) = 1

(a + b + c)/(s + t + u) = 1/2

_________________

At the still point, there the dance is. -- T.S. Eliot
Formerly genxer123

Kudos [?]: 464 [0], given: 683

Director
Joined: 04 Dec 2015
Posts: 696

Kudos [?]: 356 [0], given: 261

Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
In the figure above, (a + b + c)/(s + t + u) = [#permalink]

### Show Tags

12 Aug 2017, 03:02
Bunuel wrote:

In the figure above, (a + b + c)/(s + t + u) =

(A) 1/3
(B) 1/2
(C) 2/3
(D) 1
(E) 3/2

[Reveal] Spoiler:
Attachment:
2017-08-12_1405.png

Can be solved Using the properties of exterior angles of triangle.

Exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles of the triangle.

$$s = b + c$$
$$t = a + c$$
$$u = a + b$$

$$s + t + u = b + c + a + c + a + b => 2a + 2b + 2c$$

$$s + t + u = 2 (a + b + c)$$

$$\frac{(a + b + c)}{(s + t + u)} = \frac{(a + b + c)}{2(a + b + c)} = \frac{1}{2}$$

Kudos [?]: 356 [0], given: 261

Director
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 563

Kudos [?]: 3287 [0], given: 220

GPA: 2.81
Re: In the figure above, (a + b + c)/(s + t + u) = [#permalink]

### Show Tags

12 Aug 2017, 03:16
Top Contributor
Bunuel wrote:

In the figure above, (a + b + c)/(s + t + u) =

(A) 1/3
(B) 1/2
(C) 2/3
(D) 1
(E) 3/2

[Reveal] Spoiler:
Attachment:
2017-08-12_1405.png

$$\frac{(a + b + c)}{(s + t + u)}$$=$$\frac{180}{(180-a+180-b+180-c)}$$=$$\frac{180}{3*180-(a+b+c)}$$=$$\frac{180}{3*180-180}$$=$$\frac{180}{2*180}$$=$$\frac{1}{2}$$

_________________

Md. Abdur Rakib

Please Press +1 Kudos,If it helps
Sentence Correction-Collection of Ron Purewal's "elliptical construction/analogies" for SC Challenges

Kudos [?]: 3287 [0], given: 220

Senior Manager
Joined: 29 Jun 2017
Posts: 439

Kudos [?]: 92 [1], given: 73

GPA: 4
WE: Engineering (Transportation)
Re: In the figure above, (a + b + c)/(s + t + u) = [#permalink]

### Show Tags

12 Aug 2017, 03:30
1
KUDOS
take any random value for a,b and c say a30, b120, c 30. and sum of a,b,c is 180
accordingly s ,t, u will be 180-30, 180-120, 180- 30 i.e. 150,60 and 150 and thoer sum will be 360
(a+b+c)/ (r+s+t) = 180/360 =1/2 which is option B
_________________

Give Kudos for correct answer and/or if you like the solution.

Kudos [?]: 92 [1], given: 73

Intern
Joined: 10 Apr 2017
Posts: 11

Kudos [?]: 1 [1], given: 1

Re: In the figure above, (a + b + c)/(s + t + u) = [#permalink]

### Show Tags

12 Aug 2017, 07:32
1
KUDOS
In the figure above, (a + b + c)/(s + t + u) =

(A) 1/3
(B) 1/2
(C) 2/3
(D) 1
(E) 3/2

s=b+c
t=c+a
u=b+a
a+b+c =180

therefore, a+b+c / s+t+u = (a+b+c) / 2 (a+b+c) = 1/2

Kudos [?]: 1 [1], given: 1

Re: In the figure above, (a + b + c)/(s + t + u) =   [#permalink] 12 Aug 2017, 07:32
Display posts from previous: Sort by