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

 It is currently 14 Dec 2018, 09:07

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

December 14, 2018

December 14, 2018

10:00 PM PST

11:00 PM PST

Carolyn and Brett - nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session.
• ### Free GMAT Strategy Webinar

December 15, 2018

December 15, 2018

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# Given rectangle ABCD, what is the value of angle DEC?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51215
Given rectangle ABCD, what is the value of angle DEC?  [#permalink]

### Show Tags

03 Jul 2018, 09:53
00:00

Difficulty:

45% (medium)

Question Stats:

80% (02:01) correct 20% (01:38) wrong based on 30 sessions

### HideShow timer Statistics

Given rectangle ABCD, what is the value of angle DEC?

(2) CE/BE = 2

Attachment:

Untitled+.png [ 9.46 KiB | Viewed 353 times ]

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7106
Re: Given rectangle ABCD, what is the value of angle DEC?  [#permalink]

### Show Tags

03 Jul 2018, 12:34
Bunuel wrote:

Given rectangle ABCD, what is the value of angle DEC?

(2) CE/BE = 2

Attachment:
The attachment Untitled+.png is no longer available

See the attached figure

So angle AED is 45
But nothing more
Insufficient

2) CE/BE=2
BCE is a right angled triangle and ratio of one side to hypotenuse is 1:2
So triangle is 30:60:90 and sides are in 1:√3:2..
So BEC =60
Nothing more
Insufficient

Combined
Angle DEC =180-45-60=75
Sufficient

C
Attachments

PicsArt_07-04-01.59.20.jpg [ 16.43 KiB | Viewed 279 times ]

_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: Given rectangle ABCD, what is the value of angle DEC?  [#permalink]

### Show Tags

03 Jul 2018, 12:43
Bunuel wrote:

Given rectangle ABCD, what is the value of angle DEC?

(2) CE/BE = 2

Attachment:
Untitled+.png

Question stem:-$$\angle{DEC}$$=?

Statement 1:-
AD=DE implies that $$\angle{ADE}$$=$$\angle{AED}$$=$$45^{\circ}$$
No other info provided to calculate $$\angle{DEC}$$.
hence, insufficient.

Statement 1:-
$$\frac{CE}{BE}$$= 2
Or, CE=2x, BE=x.
In the right angled $$\triangle$$CEB, BC=$$\sqrt{3}x$$
So, it is a $$30^{\circ}-60^{\circ}-90^{\circ}$$ $$\triangle$$.
So, $$\angle{BEC}$$=$$60^{\circ}$$
No other info provided to calculate $$\angle{DEC}$$.
hence, insufficient.

(1)+(2), we have ,$$\angle{AED}+\angle{DEC}+\angle{BEC}=180^{\circ}$$
From st1, we know the measure of $$\angle{AED}$$ & from st2, we know the measure of $$\angle{BEC}$$; hence measure of $$\angle{DEC}$$ can be definitely calculated.

Ans. C
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Re: Given rectangle ABCD, what is the value of angle DEC? &nbs [#permalink] 03 Jul 2018, 12:43
Display posts from previous: Sort by