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

It is currently 23 Oct 2019, 19:04

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

In the right triangle ABC, BD is perpendicular to AC and E is a point

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58464
In the right triangle ABC, BD is perpendicular to AC and E is a point  [#permalink]

Show Tags

New post 02 Sep 2018, 23:33
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

75% (02:01) correct 25% (02:29) wrong based on 37 sessions

HideShow timer Statistics

CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: In the right triangle ABC, BD is perpendicular to AC and E is a point  [#permalink]

Show Tags

New post 03 Sep 2018, 00:55
Bunuel wrote:
Image
In the right triangle ABC, BD is perpendicular to AC and E is a point on AC such that the angle ABE is 30° and the angle EBD is 20°. What is y - x = ?


A. 10°
B. 20°
C. 30°
D. 50°
E. 90°

Attachment:
image051.jpg


Angle BED = x+30 (Exterior angle is sum of other two interior angles of triangle ABE) = (180-90-20) = 70

i.e. x = 70-30 = 40


Angle BDE = 40+y = 90 (Given)

i.e. y = 50

i.e. y - x = 50 - 40 = 10º

Answer: option A
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Senior Manager
Senior Manager
User avatar
S
Joined: 07 Oct 2017
Posts: 252
Re: In the right triangle ABC, BD is perpendicular to AC and E is a point  [#permalink]

Show Tags

New post 03 Sep 2018, 01:05
GMATinsight wrote:
Bunuel wrote:
Image
In the right triangle ABC, BD is perpendicular to AC and E is a point on AC such that the angle ABE is 30° and the angle EBD is 20°. What is y - x = ?


A. 10°
B. 20°
C. 30°
D. 50°
E. 90°

Attachment:
image051.jpg


Angle BED = x+30 (Exterior angle is sum of other two interior angles of triangle ABE) = (180-90-20) = 70

i.e. x = 70-30 = 40


Angle BDE = 40+y = 90 (Given)

i.e. y = 50

i.e. y - x = 50 - 40 = 10º

Answer: option A
Can you please explain how you got x+30=70

TIA

Thank you = Kudos
_________________
Thank you =Kudos
The best thing in life lies on the other side of the pain.
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: In the right triangle ABC, BD is perpendicular to AC and E is a point  [#permalink]

Show Tags

New post 03 Sep 2018, 01:10
sumit411 wrote:
GMATinsight wrote:
Bunuel wrote:
Image
In the right triangle ABC, BD is perpendicular to AC and E is a point on AC such that the angle ABE is 30° and the angle EBD is 20°. What is y - x = ?


A. 10°
B. 20°
C. 30°
D. 50°
E. 90°

Attachment:
image051.jpg


Angle BED = x+30 (Exterior angle is sum of other two interior angles of triangle ABE) = (180-90-20) = 70

i.e. x = 70-30 = 40


Angle BDE = 40+y = 90 (Given)

i.e. y = 50

i.e. y - x = 50 - 40 = 10º

Answer: option A
Can you please explain how you got x+30=70

TIA

Thank you = Kudos


Angle BED in triangle BED = 180 - Angle EBD - Angle BDE = 180 - 20 - 90 = 70

Hope this helps!!!
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Director
Director
User avatar
G
Joined: 20 Feb 2015
Posts: 756
Concentration: Strategy, General Management
Re: In the right triangle ABC, BD is perpendicular to AC and E is a point  [#permalink]

Show Tags

New post 03 Sep 2018, 01:11
Bunuel wrote:
Image
In the right triangle ABC, BD is perpendicular to AC and E is a point on AC such that the angle ABE is 30° and the angle EBD is 20°. What is y - x = ?


A. 10°
B. 20°
C. 30°
D. 50°
E. 90°

Attachment:
image051.jpg



given
ABD=50
since BD is perpendicular , BDA=BDC=90
x= 180 - (90+50)=40

similarly,
ABC = 90
DBC = 90-50=40
y=180-(90+40) = 50

y-x=10
Senior Manager
Senior Manager
User avatar
S
Joined: 07 Oct 2017
Posts: 252
Re: In the right triangle ABC, BD is perpendicular to AC and E is a point  [#permalink]

Show Tags

New post 03 Sep 2018, 01:23
GMATinsight wrote:
sumit411 wrote:
GMATinsight wrote:
[quote="Bunuel"]Image
In the right triangle ABC, BD is perpendicular to AC and E is a point on AC such that the angle ABE is 30° and the angle EBD is 20°. What is y - x = ?


A. 10°
B. 20°
C. 30°
D. 50°
E. 90°

Attachment:
image051.jpg


Angle BED = x+30 (Exterior angle is sum of other two interior angles of triangle ABE) = (180-90-20) = 70

i.e. x = 70-30 = 40


Angle BDE = 40+y = 90 (Given)

i.e. y = 50

i.e. y - x = 50 - 40 = 10º

Answer: option A
Can you please explain how you got x+30=70

TIA

Thank you = Kudos


Angle BED in triangle BED = 180 - Angle EBD - Angle BDE = 180 - 20 - 90 = 70

Hope this helps!!![/quote]Hey thanks a lot. I completely missed BD is perpendicular.

Thank you = Kudos
_________________
Thank you =Kudos
The best thing in life lies on the other side of the pain.
Intern
Intern
avatar
B
Joined: 27 Apr 2018
Posts: 17
Location: India
Concentration: Finance, International Business
Schools: CBS '21, Marshall '21
GMAT 1: 600 Q44 V29
GPA: 3.9
Re: In the right triangle ABC, BD is perpendicular to AC and E is a point  [#permalink]

Show Tags

New post 03 Sep 2018, 02:09
If BD is PPDCL to AC then:
-Ang BDC= 90 therefore, X+(20+30)+90=180 => X=40
-Ang BDA= 90 therefore Y+90+(90-20-30)=180 => Y= 50

Y-X= 50-40=10
GMAT Club Bot
Re: In the right triangle ABC, BD is perpendicular to AC and E is a point   [#permalink] 03 Sep 2018, 02:09
Display posts from previous: Sort by

In the right triangle ABC, BD is perpendicular to AC and E is a point

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne