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

 It is currently 14 Oct 2019, 13:37

### 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

# What is the value of y in the figure above?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58320
What is the value of y in the figure above?  [#permalink]

### Show Tags

18 Jan 2019, 00:21
00:00

Difficulty:

15% (low)

Question Stats:

87% (01:17) correct 13% (01:30) wrong based on 32 sessions

### HideShow timer Statistics

What is the value of y in the figure above?

A 30
B 40
C 45
D 60
E 100

Attachment:

2019-01-18_1120.png [ 15.22 KiB | Viewed 429 times ]

_________________
Director
Status: Manager
Joined: 27 Oct 2018
Posts: 671
Location: Egypt
GPA: 3.67
WE: Pharmaceuticals (Health Care)
Re: What is the value of y in the figure above?  [#permalink]

### Show Tags

18 Jan 2019, 00:38
Bunuel wrote:

both triangles BDA and ECB are right angled triangles with Pythagorean triples (3,4,5) and (5,12,13) respectively,

so both the sides AB and BC of the triangle ABC = 5, so ABC is isosceles with opposite angles = 40 each.

then $$y = 180 - (40*2) = 100$$

E
_________________
Thanks for Kudos
Manager
Joined: 30 Oct 2018
Posts: 71
Location: India
Schools: IE '22
Re: What is the value of y in the figure above?  [#permalink]

### Show Tags

18 Jan 2019, 01:16
from Pythagoras theorem AB= 5 and BC=5
hence in the tria ABC, sides AB and BC are equal so the angle created at the base will be equal
=> 180= y+40 + ACB
=> y = 100 (E)
_________________

----------------------------------
Plz Kudos! if my post helps....
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4987
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: What is the value of y in the figure above?  [#permalink]

### Show Tags

18 Jan 2019, 06:57
Bunuel wrote:

What is the value of y in the figure above?

A 30
B 40
C 45
D 60
E 100

Attachment:
2019-01-18_1120.png

solve for sides we get = 5 and triangle 45:45:90
so
40 +40 + y= 180
y = 100
IMO E
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Re: What is the value of y in the figure above?   [#permalink] 18 Jan 2019, 06:57
Display posts from previous: Sort by