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

It is currently 20 Jan 2019, 03:20

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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar

In the figure above, a rectangle is divided into smaller rectangles

  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: 52295
In the figure above, a rectangle is divided into smaller rectangles  [#permalink]

Show Tags

New post 08 Feb 2018, 05:26
1
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

41% (01:42) correct 59% (01:27) wrong based on 102 sessions

HideShow timer Statistics

Image
In the figure above, a rectangle is divided into smaller rectangles of the same shape and size. What is the area of the large rectangle?

(1) The length of the darkened path at the top of the diagram is 45.

(2) The length of the darkened path at the bottom of the diagram is 39.


Attachment:
2018-02-08_1724.png
2018-02-08_1724.png [ 3.01 KiB | Viewed 1105 times ]

_________________

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

Intern
Intern
avatar
B
Joined: 04 Jan 2018
Posts: 37
Re: In the figure above, a rectangle is divided into smaller rectangles  [#permalink]

Show Tags

New post 08 Feb 2018, 11:17
1
Answer is D

Each statement alone is enough to answer
You need to observe carefully to answer this question
consider the length n breadth to be "l" , "b"

1) the total length is 3l+3b
we can find value of l+b and the perimeter of big rectangle too
2)the total length is 3l+3b
we can find value of l+b and the perimeter of big rectangle too
_________________

Don't stop till you get enough

Hit kudos if it helped you.

Intern
Intern
avatar
B
Joined: 01 Sep 2018
Posts: 23
GPA: 3.5
WE: Information Technology (Insurance)
CAT Tests
Re: In the figure above, a rectangle is divided into smaller rectangles  [#permalink]

Show Tags

New post 13 Nov 2018, 16:13
1
Bunuel wrote:
Image
In the figure above, a rectangle is divided into smaller rectangles of the same shape and size. What is the area of the large rectangle?

(1) The length of the darkened path at the top of the diagram is 45.

(2) The length of the darkened path at the bottom of the diagram is 39.


Attachment:
2018-02-08_1724.png


Very cool question.

Here is how I solved it:

Statement 1

The length of the top path is 45. When I look at the top side and the bottom side, since its a rectangle, they should be equal. Bottom side has 2 long sides, top side has 1 long side and 3 short sides. Therefore, 1 long side = 3 short sides.

The top path consists of 3 long sides and 3 short sides. We know that 3 short sides = 1 long side. Therefore 4 long sides = 45. No need to go further. This is enough to find out the area of the large triangle.

Sufficient

Statement 2

Same as above, but 39 in length and it has 4 short sides and 3 long sides. Logic above can apply for this. No need to calculate anything.

Sufficient

Kudos if helped.
Intern
Intern
avatar
B
Joined: 06 Oct 2018
Posts: 29
Re: In the figure above, a rectangle is divided into smaller rectangles  [#permalink]

Show Tags

New post 19 Nov 2018, 10:11
Got answer D, but I think it would not appear on GMAT since each statement yields a different area.

Statement 1 --> 12x=45 --> x=45/12 or x= 15/4

Height (big rectangle) = 7x
Length = 6x
Area = 6x*7x = 590.625

Sufficient.

Statement 2 --> 13x = 39 --> x=3
Area =7(3)*6(3) = 378

2 different answers. But nonetheless, the area can be found using either statement.
Intern
Intern
avatar
B
Joined: 05 Oct 2018
Posts: 33
Location: United States
Schools: Wharton Exec '21
GMAT 1: 770 Q49 V47
GPA: 3.95
WE: General Management (Other)
Re: In the figure above, a rectangle is divided into smaller rectangles  [#permalink]

Show Tags

New post 19 Nov 2018, 12:32
Bunuel wrote:
Image
In the figure above, a rectangle is divided into smaller rectangles of the same shape and size. What is the area of the large rectangle?

(1) The length of the darkened path at the top of the diagram is 45.

(2) The length of the darkened path at the bottom of the diagram is 39.


Attachment:
2018-02-08_1724.png



We can see that 3 short sides = 1 long side.

Each statement gives us a second question that allows us to solve for both variables. Thus, each is sufficient.

The problem is a bit confusing to me since each statement creates a different answer to the overall question, and I would not expect the statements to conflict with one another. Am I wrong about this conflict?
GMAT Club Bot
Re: In the figure above, a rectangle is divided into smaller rectangles &nbs [#permalink] 19 Nov 2018, 12:32
Display posts from previous: Sort by

In the figure above, a rectangle is divided into smaller rectangles

  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®.