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

 It is currently 14 Aug 2018, 18:37

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

Does x = y? (1) BD is perpendicular to AC. (2) AB is equal to BC.

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47898
Does x = y? (1) BD is perpendicular to AC. (2) AB is equal to BC.  [#permalink]

Show Tags

17 Oct 2017, 23:43
00:00

Difficulty:

25% (medium)

Question Stats:

77% (00:30) correct 23% (00:30) wrong based on 48 sessions

HideShow timer Statistics

Does x = y?

(1) BD is perpendicular to AC.
(2) AB is equal to BC.

Attachment:

2017-10-18_1042.png [ 8.12 KiB | Viewed 873 times ]

_________________
Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2105
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
Does x = y? (1) BD is perpendicular to AC. (2) AB is equal to BC.  [#permalink]

Show Tags

18 Oct 2017, 03:41
Bunuel wrote:

Does x = y?

(1) BD is perpendicular to AC.
(2) AB is equal to BC.

Attachment:
2017-10-18_1042.png

(1) BD is perpendicular to AC.
$$\angle$$ BDA = $$\angle$$ BDC
Not sufficient

(2) AB is equal to BC.
Not sufficient

Combining 1 and 2 , we get
$$\triangle$$ BDA and BDC are congruent (RHS congruency )
$$\angle$$ BDA = $$\angle$$ BDC
AB=BC
BD=BD (Common side)

=>x=y (Corresponding parts of congruent triangles)

_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful

Manager
Joined: 05 Dec 2014
Posts: 211
Location: India
GMAT 1: 690 Q48 V36
GPA: 3.54
Does x = y? (1) BD is perpendicular to AC. (2) AB is equal to BC.  [#permalink]

Show Tags

18 Oct 2017, 03:48
Bunuel wrote:

Does x = y?

(1) BD is perpendicular to AC.
(2) AB is equal to BC.

Attachment:
2017-10-18_1042.png

Sum of the 3 angles equal 180. Combining 1st and 2nd statements, we get y=x . Triangles ABD and Traingles BDC are equal
Ans C
Intern
Joined: 30 Nov 2016
Posts: 38
Location: India
Concentration: Finance, Strategy
Does x = y? (1) BD is perpendicular to AC. (2) AB is equal to BC.  [#permalink]

Show Tags

18 Oct 2017, 08:19
1- This tells us that BD is perpendicular to AC but doesn't mention whether AD=DC.(Insufficient)
2-AB=BC which tells us that. (insufficient)
combining both we find that BD is the perpendicular bisector which means that x=y.
Ans- C
Manager
Joined: 09 Aug 2017
Posts: 62
Location: United States
Concentration: Technology
GMAT 1: 640 Q44 V33
GMAT 2: 630 Q47 V29
WE: Research (Investment Banking)
Re: Does x = y? (1) BD is perpendicular to AC. (2) AB is equal to BC.  [#permalink]

Show Tags

23 Oct 2017, 18:14
I said B, which I know is wrong. This is an example of me moving too fast and making an assumption. This is the silly mistake I am really trying to avoid making. In statement 2, nowhere does it say that BC bisects the base, but for some reason I assumed it did.

Simple mistakes are killing me.
_________________

I'd love to hear any feedback or ways to improve my problem solving. I make a lot of silly mistakes. If you've had luck improving on stupid mistakes, I'd love to hear how you did it.

Also, I appreciate any kudos.

Re: Does x = y? (1) BD is perpendicular to AC. (2) AB is equal to BC. &nbs [#permalink] 23 Oct 2017, 18:14
Display posts from previous: Sort by

Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.