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

It is currently 10 Dec 2018, 22:57

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.
  • Free lesson on number properties

     December 10, 2018

     December 10, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

At a college football game, 4/5 of the seats in the lower deck of the

  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: 51073
At a college football game, 4/5 of the seats in the lower deck of the  [#permalink]

Show Tags

New post 18 Jun 2017, 10:02
1
4
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

80% (02:37) correct 20% (02:12) wrong based on 128 sessions

HideShow timer Statistics

At a college football game, 4/5 of the seats in the lower deck of the stadium were sold. If 1/4 of all the seating in the stadium is located in the lower deck, and if 2/3 of all the seats in the stadium were sold, what fraction of the unsold seats in the stadium were in the lower deck?

(A) 3/20
(B) 1/6
(C) 1/5
(D) 1/3
(E) 7/15

_________________

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
D
Joined: 04 Dec 2015
Posts: 726
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
GMAT ToolKit User
At a college football game, 4/5 of the seats in the lower deck of the  [#permalink]

Show Tags

New post 18 Jun 2017, 10:11
1
1
Bunuel wrote:
At a college football game, 4/5 of the seats in the lower deck of the stadium were sold. If 1/4 of all the seating in the stadium is located in the lower deck, and if 2/3 of all the seats in the stadium were sold, what fraction of the unsold seats in the stadium were in the lower deck?

(A) 3/20
(B) 1/6
(C) 1/5
(D) 1/3
(E) 7/15


Let total number of seats be = 120

1/4 of seating in stadium is located in the lower deck \(= \frac{1}{4} * 120 = 30\)

4/5 of the seats in the lower deck of stadium were sold \(= \frac{4}{5} * 30 = 24\)

Number of seats in the lower deck not sold \(= 30 - 24 = 6\)

2/3 of all the seats in the stadium were sold \(= \frac{2}{3} * 120 = 80\)

Number of seats in the stadium not sold \(= 120 - 80 = 40\)

Required fraction \(= \frac{6}{40} = \frac{3}{20}.\) Answer (A)...
Manager
Manager
avatar
B
Joined: 27 Mar 2016
Posts: 51
GMAT ToolKit User
Re: At a college football game, 4/5 of the seats in the lower deck of the  [#permalink]

Show Tags

New post 18 Jun 2017, 10:15
1
let the total no. of seats be 60(lcm of 3,4 and 5 i.e denominator of all the fractions)
total no. of seats sold= 2/3 of 60=40
no of unsold seats=60-40=20
no.of seats in lower deck=1/4 of 60=15
seats sold in lower deck=4/5 of 15=12
unsold seats in lower deck=3
hence fraction of no of unsold seats in lower deck and total unsold seats =3/20
hence answer should be A.
Intern
Intern
avatar
B
Status: Striving to get that elusive 740
Joined: 04 Jun 2017
Posts: 43
GMAT 1: 690 Q49 V35
GPA: 3.7
WE: Analyst (Consulting)
Reviews Badge
Re: At a college football game, 4/5 of the seats in the lower deck of the  [#permalink]

Show Tags

New post 18 Jun 2017, 10:22
1
I will take a dig at it.

4/5 seats in LD are sold. That implies 1/5 are not sold (1-4/5)

Now 1/4 of the total seats of the stadium comes from Lower deck.
Hence fraction of unsold seats coming from Lower deck is 1/4*1/5 = 1/20

we also know that a total of 1/3 seats are unsold. (2/3-1) *given in the question.

Therefore, the fraction of unsold seats coming from from Lower deck to total number of unsold seats is :
(1/20)/(1/3) i.e 3/20

For me answer is A. Waiting for the OA
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4273
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member CAT Tests
Re: At a college football game, 4/5 of the seats in the lower deck of the  [#permalink]

Show Tags

New post 18 Jun 2017, 10:24
Bunuel wrote:
At a college football game, 4/5 of the seats in the lower deck of the stadium were sold. If 1/4 of all the seating in the stadium is located in the lower deck, and if 2/3 of all the seats in the stadium were sold, what fraction of the unsold seats in the stadium were in the lower deck?

(A) 3/20
(B) 1/6
(C) 1/5
(D) 1/3
(E) 7/15


LCM ( 5 , 4 & 3 ) = 60

Lower Deck Seats is \(60*\frac{1}{4}\) = \(15\)
Lower Deck Sold Seats is \(15*\frac{4}{5}\) = \(12\) , Unsold Lower Deck Sold Seats is \(3\)

Total Sold Seats is \(60*\frac{2}{3}\) = \(40\) , So Unsold Seats is \(20\)

Fraction of the unsold seats in the stadium were in the lower deck is \(\frac{3}{20}\)

Answer will definitely be (A) \(\frac{3}{20}\)
_________________

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 )

Intern
Intern
User avatar
B
Joined: 06 Feb 2017
Posts: 23
Schools: ISB '19, IIMA
Re: At a college football game, 4/5 of the seats in the lower deck of the  [#permalink]

Show Tags

New post 18 Jun 2017, 10:30
let total seats in the stadium be 60(LCM of 4,3,and 5). Now two-third of the total seats i.e. 40 are sold and hence total unsold seats are 20. Also one-fourth of the total no. of seats are in the lower deck, 15 seats, and 4/5 of the lower deck seats are sold and hence 1/5 seats at lower deck remain unsold, i.e. 3 seats. So fraction of unsold seats in the lower deck is 3/20 - -->> option A
Intern
Intern
avatar
B
Joined: 16 May 2017
Posts: 7
Re: At a college football game, 4/5 of the seats in the lower deck of the  [#permalink]

Show Tags

New post 19 Jun 2017, 07:11
We know that 1/4 seats are in the lower deck, and 2/3 of the total stadium seats are sold.
4/5 of the lower deck seats are sold, which means that (4/5)*(1/4) = 1/5 of the total seats are both sold and in the lower deck.
The number of decks in the lower deck that are unsold are 1/20 of the total seats ((1/4)-(1/5)).
Divide this by the total fraction of unsold tickets (1/3) gives 3/20.

Answer is A.
Manager
Manager
User avatar
B
Joined: 06 Sep 2016
Posts: 133
Location: Italy
Schools: EDHEC (A)
GMAT 1: 650 Q43 V37
GPA: 3.2
WE: General Management (Human Resources)
Premium Member
Re: At a college football game, 4/5 of the seats in the lower deck of the  [#permalink]

Show Tags

New post 22 Jun 2017, 06:16
LOWER DECK 4/5 SOLD ----> 1/5 UNSOLD
1/4(TOT) ---> LOWER DECK

SO... (1/5)(1/4)(TOT) ---> 1/20X UNSOLD IN THE LOWER DECK

2/3(TOT) SOLD ----> 1/3(TOT) UNSOLD

SO IN THE END i need LOWERDECK UNSOLD / TOT UNSOLD that is:

1/20(TOT) / 1/3(TOT) ---> 3/20
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9102
Premium Member
Re: At a college football game, 4/5 of the seats in the lower deck of the  [#permalink]

Show Tags

New post 21 Aug 2018, 08:18
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: At a college football game, 4/5 of the seats in the lower deck of the &nbs [#permalink] 21 Aug 2018, 08:18
Display posts from previous: Sort by

At a college football game, 4/5 of the seats in the lower deck of the

  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®.