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

It is currently 20 Sep 2018, 17:17

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

In a certain flight 3/4 of its seats were booked: venn Diagr

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

Hide Tags

Intern
Intern
avatar
B
Joined: 06 Mar 2016
Posts: 15
In a certain flight 3/4 of its seats were booked: venn Diagr  [#permalink]

Show Tags

New post Updated on: 02 Sep 2018, 12:25
2
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

52% (02:23) correct 48% (03:13) wrong based on 48 sessions

HideShow timer Statistics

In a certain flight 3/4 of its seats were booked including 2/3 of its business class seats. If 3/5 of its seats were business class,
then what percent of the seats that were not booked were business class?

A) 20%
B) 35%
C) 40%
D) 80%
E) 90%

Originally posted by divyajoshi12 on 02 Sep 2018, 11:12.
Last edited by pushpitkc on 02 Sep 2018, 12:25, edited 1 time in total.
Formatted question and answer options
Most Helpful Community Reply
Intern
Intern
avatar
B
Joined: 13 Jun 2017
Posts: 18
Re: In a certain flight 3/4 of its seats were booked: venn Diagr  [#permalink]

Show Tags

New post 02 Sep 2018, 12:00
Let #seats = LCM(3,4,5) = 60

Booked = 3/4 of 60 = 45
Bsn = 3/5 of 60 = 36
Bsn booked = 2/3 of 36 = 24

% bsn not booked = ((36-24)*100)/(60-45) = 80% (D)

Posted from my mobile device
General Discussion
BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3131
Location: India
GPA: 3.12
Premium Member CAT Tests
In a certain flight 3/4 of its seats were booked: venn Diagr  [#permalink]

Show Tags

New post 02 Sep 2018, 12:31
1
divyajoshi12 wrote:
In a certain flight 3/4 of its seats were booked including 2/3 of its business class seats. If 3/5 of its seats were business class,
then what percent of the seats that were not booked were business class?

A) 20%
B) 35%
C) 40%
D) 80%
E) 90%


Assume a simple number for the total number of flight tickets - 400.
Since \(\frac{3}{4}\)th of its seats were booked - 300 were booked and 100 remain unbooked.

\(\frac{3}{5}\)th of the seats were business class: \(\frac{3}{5}*400 = 240\).
\(\frac{2}{3}\)rd of the business class seats are booked - \(\frac{2}{3}*240 = 160\) are booked.

80(240 - 160) business class tickets aren't booked and percentage of the tickets not booked is \(\frac{80}{100} = 80%\)

Therefore, the percent of the business class seats that were not booked is 80%(Option D)
_________________

You've got what it takes, but it will take everything you've got

Director
Director
User avatar
P
Joined: 09 Mar 2016
Posts: 870
In a certain flight 3/4 of its seats were booked: venn Diagr  [#permalink]

Show Tags

New post 02 Sep 2018, 13:18
divyajoshi12 wrote:
In a certain flight 3/4 of its seats were booked including 2/3 of its business class seats. If 3/5 of its seats were business class,
then what percent of the seats that were not booked were business class?

A) 20%
B) 35%
C) 40%
D) 80%
E) 90%



it says "If 3/5 of its seats were business class" this info could be interpreted as 3/4*3/5 = booked biz class tickets that equals 2/3 (assuming we take some number of tickets inititially) , cause it doesnt state that 3/5 of ALL seats. this thing confused me and i got wrong answer.
_________________

In English I speak with a dictionary, and with people I am shy.

Intern
Intern
avatar
B
Joined: 16 Jun 2018
Posts: 21
In a certain flight 3/4 of its seats were booked: venn Diagr  [#permalink]

Show Tags

New post 02 Sep 2018, 20:20
Assume total number of seats = 100.
Booked = 3/4 X 100 = 75.
Total number of Business class seats = 3/5 X 100 = 60.
2/3rd business class seats are booked = 2/3X60 = 40 Seats.
Number of Business class seats which are not booked (From above) = 60-40 = 20.
Total number of non booked seats = 100-75 = 25.
Percent of not booked business class seats from total not booked seats = 20/25*100 = 80%. (Answer D).
In a certain flight 3/4 of its seats were booked: venn Diagr &nbs [#permalink] 02 Sep 2018, 20:20
Display posts from previous: Sort by

In a certain flight 3/4 of its seats were booked: venn Diagr

  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®.