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

It is currently 20 Aug 2018, 19:14

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

The figure above shows a large square formed by fitting three L shaped

  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: 48067
The figure above shows a large square formed by fitting three L shaped  [#permalink]

Show Tags

New post 11 Oct 2017, 01:00
1
5
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

64% (02:02) correct 36% (01:41) wrong based on 56 sessions

HideShow timer Statistics

Image
The figure above shows a large square formed by fitting three L shaped tiles and one small square tile together. If a rectangular floor 10 feet by 12 feet is to be tiled in large squares of this design, how many L-shaped tiles will be needed?

(A) 810
(B) 405
(C) 270
(D) 135
(E) 45

Attachment:
2017-10-11_1156_002.png
2017-10-11_1156_002.png [ 4.95 KiB | Viewed 1055 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

Senior Manager
Senior Manager
User avatar
S
Joined: 05 Dec 2016
Posts: 259
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
GMAT ToolKit User
Re: The figure above shows a large square formed by fitting three L shaped  [#permalink]

Show Tags

New post 11 Oct 2017, 01:40
ft=12 inch ==> inch =1/12 ft
Area of rectangular floor = 10 * 12 ft= 120 ft
Area of square = 8 inch * 8 inch = 8/12 ft * 8/12 ft=64/144 ft
Number of L tipes = Area of rect. floor / Area of square = (120ft * 144ft / 64 ft) * 3 = 810 L tipes

Answer A.
Director
Director
User avatar
P
Joined: 18 Aug 2016
Posts: 631
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Premium Member Reviews Badge
Re: The figure above shows a large square formed by fitting three L shaped  [#permalink]

Show Tags

New post 11 Oct 2017, 20:27
1
Bunuel wrote:
Image
The figure above shows a large square formed by fitting three L shaped tiles and one small square tile together. If a rectangular floor 10 feet by 12 feet is to be tiled in large squares of this design, how many L-shaped tiles will be needed?

(A) 810
(B) 405
(C) 270
(D) 135
(E) 45

Attachment:
2017-10-11_1156_002.png


1 ft = 12 inch (should be given in the question)

10 feet = 120 inch = 15* 8 inch
12 feet = 144 inch = 18* 8 inch

15 * 18 = 270 square tiles = 270*3 = 810 L-shaped
A
_________________

We must try to achieve the best within us


Thanks
Luckisnoexcuse

Intern
Intern
User avatar
B
Joined: 28 Sep 2017
Posts: 24
Location: India
Concentration: Technology, General Management
GPA: 3.5
WE: Information Technology (Computer Software)
Re: The figure above shows a large square formed by fitting three L shaped  [#permalink]

Show Tags

New post 11 Oct 2017, 22:40
1 feet = 12 inch
The area of the rectangle = (10*12)*(12*12) square inch
Area of the square = 8*8 square inch
Total number of the square required = (10*12)*(12*12) square inch/8*8 square inch
= 270
each have 3 L shaped object
So total objects = 270*3
810
Answer should be A
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2781
Re: The figure above shows a large square formed by fitting three L shaped  [#permalink]

Show Tags

New post 13 Oct 2017, 09:27
1
Bunuel wrote:
Image
The figure above shows a large square formed by fitting three L shaped tiles and one small square tile together. If a rectangular floor 10 feet by 12 feet is to be tiled in large squares of this design, how many L-shaped tiles will be needed?

(A) 810
(B) 405
(C) 270
(D) 135
(E) 45

Attachment:
2017-10-11_1156_002.png


Let’s first determine the number of 8-in by 8-in large squares needed to cover the floor. To do so, let’s convert the dimensions of the floor to inches:

10 ft = 10 x 12 = 120 in and 12 ft = 12 x 12 = 144 in

Thus, the number of large squares needed is:

(120 x 144)/(8 x 8) = 15 x 18 = 270

We need 270 large squares; however, within each large square, there are 3 L-shaped tiles; thus, 270 x 3 = 810 L-shaped tiles are needed to cover the floor.

Answer: A
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Intern
Intern
avatar
B
Joined: 24 Oct 2016
Posts: 25
GMAT ToolKit User
Re: The figure above shows a large square formed by fitting three L shaped  [#permalink]

Show Tags

New post 15 Oct 2017, 06:49
Area of rectangular region in sq feet = 10 * 12 = 120
Since 1 feet = 12 inches
Area of rectangular region in sq inches = 120 * 144
Area of square in sq inches = 64
Number of squares required to cover rectangular region = (120 * 144) / 64 = 270
Number of L-shaped tiles in each square = 3
So, Total number of L-shaped tiles required = 270 * 3 = 810

Answer: A
Re: The figure above shows a large square formed by fitting three L shaped &nbs [#permalink] 15 Oct 2017, 06:49
Display posts from previous: Sort by

The figure above shows a large square formed by fitting three L shaped

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

Events & Promotions

PREV
NEXT


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®.