NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 04:54 It is currently 26 Apr 2024, 04:54
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

At a certain car dealership, the 40 vehicles equipped with

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
AnkitK
Manager
Manager
Joined: 11 Feb 2011
Posts: 86
Own Kudos [?]: 1091 [43]
Given Kudos: 21
Send PM
At a certain car dealership, the 40 vehicles equipped with [#permalink] New post   13 Jul 2011, 09:08
4
Kudos
39
Bookmarks
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

80% (02:29) correct 20% (03:01) wrong based on 682 sessions
Hide Show timer Statistics
At a certain car dealership, the 40 vehicles equipped with air conditioning represent 80% of all cars available for sale. Among all the cars, there are 15 convertibles, 14 of which are equipped with an air-conditioning system. If a customer is willing to purchase either a convertible or a car equipped with air conditioning, what is the probability that a randomly selected vehicle will fit customer specifications?

A. 41/50
B. 9/50
C. 6/50
D. 21/25
E. 8/25
ShowHide Answer
Official Answer
A
Most Helpful Reply
User avatar
fluke
Retired Moderator
Joined: 20 Dec 2010
Posts: 1114
Own Kudos [?]: 4702 [13]
Given Kudos: 376
Send PM
Re: At a certain car dealership, the 40 vehicles equipped with [#permalink] New post   13 Jul 2011, 09:43
6
Kudos
7
Bookmarks
AnkitK wrote:
At a certain car dealership, the 40 vehicles equipped with air conditioning represent 80% of all cars available for sale. Among all the cars, there are 15 convertibles, 14 of which are equipped with an air-conditioning system. If a customer is willing to purchase either a convertible or a car equipped with air conditioning, what is the probability that a randomly selected vehicle will fit customer specifications?

ConvertibleNon-ConvertibleTotal
AC142640
Non-AC1910
Total153550


Fill it in this order:

AC cars=40
Total Cars=40/0.8=50
Non-AC Cars=50-40=10
Total Convertibles=15
Convertible AC=14
Convertible Non-AC=15-14=1
Non-Convertible/Non-AC=10-1=9
Non-Convertible/AC=40-14=26

Total Convertible+All AC= 15+26=41
Total cars=50

P=41/50.

Ans: 41/50
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18761
Own Kudos [?]: 22055 [6]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: At a certain car dealership, the 40 vehicles equipped with [#permalink] New post   29 Nov 2017, 10:46
2
Kudos
3
Bookmarks
Expert Reply
AnkitK wrote:
At a certain car dealership, the 40 vehicles equipped with air conditioning represent 80% of all cars available for sale. Among all the cars, there are 15 convertibles, 14 of which are equipped with an air-conditioning system. If a customer is willing to purchase either a convertible or a car equipped with air conditioning, what is the probability that a randomly selected vehicle will fit customer specifications?


We are given that the 40 vehicles equipped with air conditioning represent 80% of all cars available for sale. We can let n = the total number of cars and create the following equation:

40 = 0.8n

n = 40/0.8 = 50

Thus, there are a total of 50 cars at the dealership. Furthermore, we are given that there are 15 convertibles, and 14 of them are equipped with air conditioning.

So, the the probability that a randomly selected vehicle will be a convertible or a car with air conditioning is:

[(15 + 40) - 14]/50 = 41/50

Note that we double-counted the 14 cars that are both convertibles and are cars with air conditioning, and so we had to subtract the 14 from the total.
General Discussion
User avatar
DeeptiM
Manager
Manager
Joined: 16 Feb 2011
Posts: 142
Own Kudos [?]: 972 [0]
Given Kudos: 9
Send PM
Re: At a certain car dealership, the 40 vehicles equipped with [#permalink] New post   24 Jul 2011, 00:18
gaurav1083 wrote:
fluke wrote:
AnkitK wrote:
At a certain car dealership, the 40 vehicles equipped with air conditioning represent 80% of all cars available for sale. Among all the cars, there are 15 convertibles, 14 of which are equipped with an air-conditioning system. If a customer is willing to purchase either a convertible or a car equipped with air conditioning, what is the probability that a randomly selected vehicle will fit customer specifications?

ConvertibleNon-ConvertibleTotal
AC142640
Non-AC1910
Total153550


Fill it in this order:

AC cars=40
Total Cars=40/0.8=50
Non-AC Cars=50-40=10
Total Convertibles=15
Convertible AC=14
Convertible Non-AC=15-14=1
Non-Convertible/Non-AC=10-1=9
Non-Convertible/AC=40-14=26

Total Convertible+All AC= 15+26=41
Total cars=50

P=41/50.

Ans: 41/50


+1 for 41/50.
Used same approach.


Fluke, we din't count 14 while calculating all AC..is it because it was already counted while calculating Convertible?? hence, re-count would contribute to a double figure??

Pls correct me, if I am wrong..
avatar
sandeeptela
Intern
Intern
Joined: 17 Oct 2013
Posts: 1
Own Kudos [?]: 1 [1]
Given Kudos: 7
Send PM
Re: At a certain car dealership, the 40 vehicles equipped with [#permalink] New post   21 Oct 2013, 23:45
1
Kudos
Till the table finding, it seems all correct as per my findings. But, since the question is asking either A.C or Convertible ...not both.
so, my answer is coming as below.
1 (Non A.C and Convertible) + 26 (A.C and non-convertible) = 27.
Therefore, require probability = 27/50. Please correct me if seems wrong.
User avatar
gmatprav
Manager
Manager
Joined: 25 Oct 2013
Posts: 115
Own Kudos [?]: 166 [2]
Given Kudos: 55
Send PM
Re: At a certain car dealership, the 40 vehicles equipped with [#permalink] New post   24 Jan 2014, 03:52
2
Kudos
total cars is 50. since 40 is 80% of 50.

40 cars are AC---given.
15 cars are convertible of which 14 are AC. means
14 are AC+convertible.
1 is Non-AC convertible.
AC+non-convertible is 40 -14 = 26.
9 are neither.

So either AC or convertible = 26+14+1 = 41.

Probability is 41/50.
User avatar
christianbze
Intern
Intern
Joined: 06 Oct 2013
Status:Student
Posts: 21
Own Kudos [?]: 68 [0]
Given Kudos: 17
Location: Germany
Concentration: Operations, General Management
GMAT 1: 670 Q49 V35
GPA: 2.4
WE:Other (Consulting)
Send PM
Re: At a certain car dealership, the 40 vehicles equipped with [#permalink] New post   24 Jan 2014, 08:32
Is this really a "700+ difficulty" question?
It was easy to solve (or to write down all that stuff) though it took me 2min 27sec.
Should be a Verbal question with all that writing :D :D
avatar
rohanatt
Intern
Intern
Joined: 14 Jan 2014
Posts: 1
Own Kudos [?]: [0]
Given Kudos: 0
Send PM
Re: At a certain car dealership, the 40 vehicles equipped with [#permalink] New post   31 Jan 2014, 18:15
other way to see it is:

9 cars are neither AC nor Convertibles:

So 50-9=41 (either AC or Convertibles)

Hence prob: 41/50
User avatar
G
testcracker
Manager
Manager
Joined: 24 Mar 2015
Status:love the club...
Posts: 220
Own Kudos [?]: 112 [1]
Given Kudos: 527
Send PM
Re: At a certain car dealership, the 40 vehicles equipped with [#permalink] New post   27 Nov 2017, 06:43
1
Kudos
AnkitK wrote:
At a certain car dealership, the 40 vehicles equipped with air conditioning represent 80% of all cars available for sale. Among all the cars, there are 15 convertibles, 14 of which are equipped with an air-conditioning system. If a customer is willing to purchase either a convertible or a car equipped with air conditioning, what is the probability that a randomly selected vehicle will fit customer specifications?

Show SpoilerOA
OA:41/50



hi

80% = 40
so, 100% = 50 = total

now, 50 = 40 + 15 - 14 + none
so, niether A/C nor convertible = 9

probability:

(either convertible or equipped with A/C) / total

= (50 - 9) / 50
= 41/50

thanks
:cool:
avatar
B
Rahulihavenoclue
Intern
Intern
Joined: 21 May 2019
Posts: 2
Own Kudos [?]: 2 [1]
Given Kudos: 4
Send PM
Re: At a certain car dealership, the 40 vehicles equipped with [#permalink] New post   24 Sep 2019, 03:08
1
Kudos
P(A or B) = P(A) + P(B) - P (A and B) . 80% of total is 40 , so total = 50
P(convertible or AC ) = 40/50 + 15/50 - 14/50 = 41/50
40 is the number of cars with AC , 15 the number of convertibles of which 14 are with AC
avatar
B
750Barrier
Intern
Intern
Joined: 06 May 2015
Posts: 38
Own Kudos [?]: 3 [0]
Given Kudos: 35
GMAT 1: 690 Q48 V37
WE:Consulting (Consulting)
Send PM
Re: At a certain car dealership, the 40 vehicles equipped with [#permalink] New post   17 Dec 2021, 07:30
AnkitK wrote:
At a certain car dealership, the 40 vehicles equipped with air conditioning represent 80% of all cars available for sale. Among all the cars, there are 15 convertibles, 14 of which are equipped with an air-conditioning system. If a customer is willing to purchase either a convertible or a car equipped with air conditioning, what is the probability that a randomly selected vehicle will fit customer specifications?

A. 41/50
B. 9/50
C. 6/50
D. 21/25
E. 8/25



The answer can be 41/50, if the premise says - either Conv or AC or both.
the answer should be 27/50 as per the premise.

What is the source of this prob?

Hi Bunuel - is my understanding correct?
User avatar
L
Kinshook
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5344
Own Kudos [?]: 3965 [0]
Given Kudos: 160
Location: India
Schools: HBS '22 CBS '22 Wharton '22
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Send PM
Reviews Badge
Re: At a certain car dealership, the 40 vehicles equipped with [#permalink] New post   17 Dec 2021, 08:40
Given: At a certain car dealership, the 40 vehicles equipped with air conditioning represent 80% of all cars available for sale. Among all the cars, there are 15 convertibles, 14 of which are equipped with an air-conditioning system.

Asked: If a customer is willing to purchase either a convertible or a car equipped with air conditioning, what is the probability that a randomly selected vehicle will fit customer specifications?


Air conditioningNo air conditioningTotal
Convertible1415-14=115
Non convertible50-15=35
Total401050


Total cars = 50
Number of Convertible Cars or cars with air-conditioning = 40 + 1 = 41
The probability that a randomly selected vehicle will fit customer specifications = 41/50

IMO A
User avatar
S
thakurarun85
Manager
Manager
Joined: 10 Jul 2021
Posts: 233
Own Kudos [?]: 48 [0]
Given Kudos: 29
Send PM
Re: At a certain car dealership, the 40 vehicles equipped with [#permalink] New post   18 Dec 2021, 06:10
40 vehicles equipped with air conditioning represent 80% of all cars.

How do we know all 40 are cars?
User avatar
L
IanStewart
GMAT Tutor
Joined: 24 Jun 2008
Posts: 4128
Own Kudos [?]: 9247 [0]
Given Kudos: 91
 Q51  V47
Send PM
Re: At a certain car dealership, the 40 vehicles equipped with [#permalink] New post   18 Dec 2021, 06:16
Expert Reply
We have 50 cars in total. We have 40 cars with AC, and we have one convertible (15 - 14 = 1) that does not have AC, so there are 41 cars with either AC or that are convertibles, or both, and the answer is 41/50.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32684
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: At a certain car dealership, the 40 vehicles equipped with [#permalink] New post   27 Apr 2023, 10:14
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 Club Bot
gmatclubot
Re: At a certain car dealership, the 40 vehicles equipped with [#permalink]
27 Apr 2023, 10:14
Moderators:
Bunuel
Math Expert
92929 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions