BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

sunroof cars

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Master | Next Rank: 500 Posts
Posts: 279
Joined: Fri Nov 05, 2010 5:43 pmFollowed by: 1 member
Thanked: 15 times
by mehrasa » Sat Nov 19, 2011 9:40 pm
a good Q:
a car dealership sell only sport cars and luxury cars. if 1/7 of sport car and 1/2 luxury car has sunroof. and he has total of 42 cars in his lot. what is the smallest number of cars with sunroof?

[spoiler]OA: 11[/spoiler]
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Legendary Member
Posts: 966
Joined: Sat Jan 02, 2010 8:06 amFollowed by: 21 members
Thanked: 230 times

by shankar.ashwin » Sat Nov 19, 2011 9:45 pm
THis was solved a couple of days back..
Refer https://www.beatthegmat.com/car-dealership-t96369.html
mehrasa wrote:a good Q:
a car dealership sell only sport cars and luxury cars. if 1/7 of sport car and 1/2 luxury car has sunroof. and he has total of 42 cars in his lot. what is the smallest number of cars with sunroof?

[spoiler]OA: 11[/spoiler]
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members
Location: Milpitas, CA
Thanked: 1854 times
GMAT Score:770

by Anurag@Gurome » Sun Nov 20, 2011 12:06 am
mehrasa wrote:a car dealership sell only sport cars and luxury cars. if 1/7 of sport car and 1/2 luxury car has sunroof. and he has total of 42 cars in his lot. what is the smallest number of cars with sunroof?
This question is different form the original question that was posted in the other thread. The original question has this words in it: ...and has at least some of each type of car in stock at all times.

Because of this little difference, the answer to this question should be 6, whereas the answer to the original question is 11.

We have to minimize the number of cars with sunroof. As 1/7 < 1/2, we have to maximize the number of sports car and minimize the number of luxury cars. Obvious way to do that is assuming all the cars are sports car.

Hence, there are 42 sports car but no luxury car.
Hence, 42/7 = 6 cars have sunroof.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 37
Joined: Thu Oct 06, 2011 2:49 pm
Thanked: 4 times

by ollapodrida » Sun Nov 20, 2011 5:21 pm
The number of sports cars must be divisible by 7, and the number of luxury cars must be divisible by 2.

Since, the LCM of 2 and 7 is 14, 14 is the smallest total number of cars that would allow these numbers to work. Other multiples of 14 will work as well.

Since we are told there are 42 cars in the lot, we will either have 14 sports cars and 28 luxury cars (14+28=42) or 28 luxury cars and 14 sports cars. Other combinations such as 7SC and 35LC or 35SC and 7LC will not work because we will get fractional cars when we multiply by 1/7 and 1/2.

Case 1: 14SC and 28 LC
1/7*14+1/2*28=2+14=16

Case 2: 14LC and 28SC
1/7*28+1/2*14=4+7=11

Therefore, the smallest number of sunroof cars = 11.

I had to assume here that there were enough cars to make the numbers work. Otherwise, telling us there were at least some of each car in stock wouldn't make much of a difference, since there could be 1 luxury car and 41 sports cars in stock, or vice versa.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1