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

It is currently 18 Sep 2018, 12:32

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

A manufacturer is designing two rectangular game boards. The width of

  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: 49206
A manufacturer is designing two rectangular game boards. The width of  [#permalink]

Show Tags

New post 12 Jul 2018, 06:04
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (01:40) correct 26% (02:06) wrong based on 39 sessions

HideShow timer Statistics

A manufacturer is designing two rectangular game boards. The width of the smaller board is one-half the width of the larger board, and the length of the smaller board is one-sixth the length of the larger board. If the smaller board has area N, then what is the difference between the areas of the game boards, in terms of N ?

A) 3N

B) 9N

C) 11N

D) 12N

E) 18N

_________________

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

Manager
Manager
User avatar
B
Joined: 13 Feb 2018
Posts: 131
CAT Tests
Re: A manufacturer is designing two rectangular game boards. The width of  [#permalink]

Show Tags

New post 12 Jul 2018, 06:13
Let's plug some noble integers:
Large board:
Width=4
Length = 6
Area of the large board 4*6=24

Small board
Width=4*0.5=2
Lenght=6*\(\frac{1}{6}\)=1

Area of the small board N=2*1=2

Difference between boards 24-2=22
Thus 22=11N (As N=2)

IMO
Ans: C
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4011
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: A manufacturer is designing two rectangular game boards. The width of  [#permalink]

Show Tags

New post 12 Jul 2018, 07:24
Bunuel wrote:
A manufacturer is designing two rectangular game boards. The width of the smaller board is one-half the width of the larger board, and the length of the smaller board is one-sixth the length of the larger board. If the smaller board has area N, then what is the difference between the areas of the game boards, in terms of N ?

A) 3N

B) 9N

C) 11N

D) 12N

E) 18N

Let the Length of the Larger board be 6 and width be 2 , So Area of the Large Board is 12

Again, Length of the Smaller board is 1 and width be 1, So Area of the Large Board is 1 = N

If N = 1, Difference of the areas will be (12- 1)N = 11N, Answer must be (C) 11N
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Director
Director
User avatar
G
Joined: 31 Oct 2013
Posts: 571
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
A manufacturer is designing two rectangular game boards. The width of  [#permalink]

Show Tags

New post 12 Jul 2018, 07:49
Bunuel wrote:
A manufacturer is designing two rectangular game boards. The width of the smaller board is one-half the width of the larger board, and the length of the smaller board is one-sixth the length of the larger board. If the smaller board has area N, then what is the difference between the areas of the game boards, in terms of N ?

A) 3N

B) 9N

C) 11N

D) 12N

E) 18N



It is mentioned in the question that Are of the smaller Rectangular is N. We can assume value for N. N must the the Multiple of LCM of 2 and 6 .

Smaller Rectangular :

Length = 6
width = 6

N = 36 ( Assumed )

Area of the Larger Rectangular:

Length = 36.................As per the question it is must be 6 times of the smaller board.

width = 12 .................As per the question it is must be 2 times of the smaller board.

Area : 432

So, Difference of the Area of the boards : 432 - 36 = 396.

Option C : 11 N = 11 *36 = 396. That meets our demand.

Thus option C is the best answer.
Intern
Intern
User avatar
B
Joined: 17 May 2018
Posts: 32
Re: A manufacturer is designing two rectangular game boards. The width of  [#permalink]

Show Tags

New post 12 Jul 2018, 10:10
Let L and W be the length and width of the smaller board. Its area will be WL (=N)

From the stem, we know that the length of the bigger board will be 6L, and its width 2W. Its area will then be 12WL, or 12N.

The difference between the two areas will be 12N - N = 11N.
_________________

¿Tienes que presentar el GMAT y no sabes por dónde empezar?
¡Visita GMAT para Principiantes y recibe el curso completo gratis!

Re: A manufacturer is designing two rectangular game boards. The width of &nbs [#permalink] 12 Jul 2018, 10:10
Display posts from previous: Sort by

A manufacturer is designing two rectangular game boards. The width of

  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®.