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

It is currently 11 Dec 2018, 15:46

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
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free GMAT Prep Hour

     December 11, 2018

     December 11, 2018

     09:00 PM EST

     10:00 PM EST

    Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.
  • The winning strategy for 700+ on the GMAT

     December 13, 2018

     December 13, 2018

     08:00 AM PST

     09:00 AM PST

    What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

In the figure above, what is the area of triangular region B

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51100
In the figure above, what is the area of triangular region B  [#permalink]

Show Tags

New post 03 Feb 2014, 00:13
2
4
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

86% (01:02) correct 14% (01:28) wrong based on 848 sessions

HideShow timer Statistics

The Official Guide For GMAT® Quantitative Review, 2ND Edition

Attachment:
Untitled.png
Untitled.png [ 11.64 KiB | Viewed 14047 times ]
In the figure above, what is the area of triangular region BCD ?

(A) \(4\sqrt{2}\)
(B) 8
(C) \(8\sqrt{2}\)
(D) 16
(E) \(16\sqrt{2}\)

Problem Solving
Question: 71
Category: Geometry Triangles; Area
Page: 71
Difficulty: 550


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51100
Re: In the figure above, what is the area of triangular region B  [#permalink]

Show Tags

New post 03 Feb 2014, 00:13
SOLUTION

Image
In the figure above, what is the area of triangular region BCD ?

(A) \(4\sqrt{2}\)
(B) 8
(C) \(8\sqrt{2}\)
(D) 16
(E) \(16\sqrt{2}\)

Using Pythagorean theorem \(BD=\sqrt{4^2+4^2}=4\sqrt{2}\).

The area of triangle BCD = \(\frac{1}{2}*BD*BC=\frac{1}{2}*4\sqrt{2}*4=8\sqrt{2}\).

Answer: C.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Director
Director
User avatar
Joined: 25 Apr 2012
Posts: 684
Location: India
GPA: 3.21
WE: Business Development (Other)
Premium Member Reviews Badge
Re: In the figure above, what is the area of triangular region B  [#permalink]

Show Tags

New post 03 Feb 2014, 02:30
1
Attachment:
untitled.PNG
untitled.PNG [ 15.91 KiB | Viewed 12630 times ]


In the figure above, what is the area of triangular region BCD ?

(A) \(4\sqrt{2}\)
(B) 8
(C) \(8\sqrt{2}\)
(D) 16
(E) \(16\sqrt{2}\)



Sol: In the given question Triangle ABD is isosele with sides AB=AD=4 and therefore BD=4\(\sqrt{2}\)

Area of triangle BCD is 1/2*4*4\(\sqrt{2}\)

600 level is okay
Ans is C
_________________


“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”

Senior Manager
Senior Manager
avatar
Joined: 06 Aug 2011
Posts: 339
Re: In the figure above, what is the area of triangular region B  [#permalink]

Show Tags

New post 03 Feb 2014, 07:05
1
its C.


BD will be 4square root 2. (that will be base) * 4/2=8 square root 2.
_________________

Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !

Manager
Manager
avatar
Joined: 20 Dec 2013
Posts: 230
Location: India
Re: In the figure above, what is the area of triangular region B  [#permalink]

Show Tags

New post 03 Feb 2014, 10:16
1
Ans C

First we calculate BD by Hypotenuse Theorem:
BD=\sqrt{4^2+4^2}=4\sqrt{2}

Area BCD=1/2 * 4\sqrt{2} * 4= 8\sqrt{2}
Director
Director
User avatar
D
Joined: 04 Dec 2015
Posts: 727
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
GMAT ToolKit User
In the figure above, what is the area of triangular region BCD ?  [#permalink]

Show Tags

New post 08 Jul 2017, 00:56
2
parkerd wrote:
This question has already been answered, but I just needed clarification on how \sqrt{4^2 + 4^2} = 4\sqrt{2}?


(A) 4√2
(B) 8
(C) 8√2
(D) 16
(E) 16√2


\(\sqrt{4^2 + 4^2}\)

Taking \(4^2\) common, we get;

\(\sqrt{4^2(1+1)}\)

\(\sqrt{4^2(2)}\) ------------ (\(\sqrt{4^2} = 4\))

\(4\sqrt{2}\)

Answer (A)...

Hope its clear now.

_________________
Please Press "+1 Kudos" to appreciate. :)
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2204
Premium Member CAT Tests
In the figure above, what is the area of triangular region B  [#permalink]

Show Tags

New post 08 Jul 2017, 05:26
Bunuel wrote:
In the figure above, what is the area of triangular region BCD ?

(A) \(4\sqrt{2}\)
(B) 8
(C) \(8\sqrt{2}\)
(D) 16
(E)\(16\sqrt{2}\)

The area of right triangle BCD is \(\frac{1}{2}b*h\), where b = BC = 4, and h is BD because height must be perpendicular to base. Angle DBC of 90° indicates exactly that.To find length of BD, the hypotenuse of triangle ABD ...

Triangle ABD is an isosceles right triangle having sides in the ratio \(x : x : x\sqrt{2}\).

So to find BD, simply multiply 4 by \(\sqrt{2}\) = \(4\sqrt{2}\).

\((\frac{1}{2})\)\((4)\)\((4\sqrt{2})\)
= \(8\sqrt{2}\)

Answer C
Manager
Manager
avatar
B
Joined: 30 Apr 2013
Posts: 80
Re: In the figure above, what is the area of triangular region B  [#permalink]

Show Tags

New post 22 Sep 2017, 06:09
Can we not consider AD = 4 as the height of the triangle BCD?
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51100
Re: In the figure above, what is the area of triangular region B  [#permalink]

Show Tags

New post 22 Sep 2017, 06:19
Intern
Intern
avatar
B
Joined: 03 Aug 2017
Posts: 27
Re: In the figure above, what is the area of triangular region B  [#permalink]

Show Tags

New post 16 Apr 2018, 09:11
Here BDsquare = 4square +4square
(BD)2 = 16+16
BDSquare = 32
BD= Root32
Area of Triangle BCD =( Base*Height )/2
=(4 * Root 32 )/2 =
= root 32 can be written as root 16*root 2 and by solving further
= 2*4*root2 - 8 root 2 = C
Manager
Manager
User avatar
S
Joined: 20 Jul 2018
Posts: 89
GPA: 2.87
Re: In the figure above, what is the area of triangular region B  [#permalink]

Show Tags

New post 21 Aug 2018, 08:33
As BAD is 45:45:90 triangle so BD=4*1.44
So area of BCD is = 1*4*4*1.44/2
Area od BCD=8*1.44=4underroot2

Answer C

Posted from my mobile device
_________________

Hasnain Afzal

"When you wanna succeed as bad as you wanna breathe, then you will be successful." -Eric Thomas

GMAT Club Bot
Re: In the figure above, what is the area of triangular region B &nbs [#permalink] 21 Aug 2018, 08:33
Display posts from previous: Sort by

In the figure above, what is the area of triangular region B

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.