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

It is currently 22 Oct 2019, 14:28

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

At a certain dealership, every car on the lot has at least one of the

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58427
At a certain dealership, every car on the lot has at least one of the  [#permalink]

Show Tags

New post 22 Jan 2015, 07:27
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

65% (02:03) correct 35% (02:41) wrong based on 100 sessions

HideShow timer Statistics

At a certain dealership, every car on the lot has at least one of the three modest options: windows, brakes and radio. 40 cars have windows, 30 have brakes, and 50 have a radio. 21 cars have brakes and radio, 13 have windows and brakes. 17 have windows and radio. If 11 cars have all 3 options, what is the total number of cars on the lot ?

A. 69
B. 70
C. 80
D. 91
E. 120

Kudos for a correct solution.

_________________
Intern
Intern
avatar
Joined: 21 Sep 2013
Posts: 26
Location: United States
Concentration: Finance, General Management
GMAT Date: 10-25-2013
GPA: 3
WE: Operations (Mutual Funds and Brokerage)
Re: At a certain dealership, every car on the lot has at least one of the  [#permalink]

Show Tags

New post 22 Jan 2015, 07:37
Bunuel wrote:
At a certain dealership, every car on the lot has at least one of the three modest options: windows, brakes and radio. 40 cars have windows, 30 have brakes, and 50 have a radio. 21 cars have brakes and radio, 13 have windows and brakes. 17 have windows and radio. If 11 cars have all 3 options, what is the total number of cars on the lot ?

A. 69
B. 70
C. 80
D. 91
E. 120

Kudos for a correct solution.


total = Windows +brakes+radio -(Brk & rad +wind & brk + wind & radio ) + all 3
=40+30+50-(21+13+17)+11
=80
Manager
Manager
avatar
Joined: 14 Jul 2014
Posts: 88
Re: At a certain dealership, every car on the lot has at least one of the  [#permalink]

Show Tags

New post 23 Jan 2015, 00:18
Yup 80

Used same Gclub formula as mentioned above
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1747
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: At a certain dealership, every car on the lot has at least one of the  [#permalink]

Show Tags

New post 23 Jan 2015, 01:49
1
Answer = C = 80

Refer Venn diagram below:

Attachment:
squ.png
squ.png [ 5.94 KiB | Viewed 1686 times ]


Total = 40 + 10 + 7 + 23 = 80
_________________
Kindly press "+1 Kudos" to appreciate :)
Manager
Manager
User avatar
Status: Gmat Prep
Joined: 22 Jul 2011
Posts: 73
GMAT ToolKit User
Re: At a certain dealership, every car on the lot has at least one of the  [#permalink]

Show Tags

New post 23 Jan 2015, 07:40
W+R+B=
-All cars with one feature counted once
-All cars with two features counted twice
-All cars with all features counted thrice

When we correct for the twice we subtract cars with two features

As we know that two features will include cars having all features in each of the three combinations of two features cars. So we end subtracting all the cars with all features therefore we add the count of cars with three feature

So
W+R+B-W&B-W&R-R&B+W&B&R
40+50+30-13-17-21+11=80.

Posted from my mobile device
Intern
Intern
avatar
B
Joined: 13 Dec 2018
Posts: 7
Re: At a certain dealership, every car on the lot has at least one of the  [#permalink]

Show Tags

New post 18 Jan 2019, 06:43
Bunuel wrote:
At a certain dealership, every car on the lot has at least one of the three modest options: windows, brakes and radio. 40 cars have windows, 30 have brakes, and 50 have a radio. 21 cars have brakes and radio, 13 have windows and brakes. 17 have windows and radio. If 11 cars have all 3 options, what is the total number of cars on the lot ?

A. 69
B. 70
C. 80
D. 91
E. 120

Kudos for a correct solution.


Hi!
Do you have the official answer? Because I find 47 which is not included in answer choices. To me the correct formula is: Total= 40 + 30 + 50 - 21 - 13 - 17 - 2(11) = 47 Is that right?
Manager
Manager
User avatar
G
Joined: 21 Jun 2017
Posts: 233
Concentration: Finance, Economics
WE: Corporate Finance (Commercial Banking)
Re: At a certain dealership, every car on the lot has at least one of the  [#permalink]

Show Tags

New post 18 Jan 2019, 07:14
1
Malbash212 wrote:
Bunuel wrote:
At a certain dealership, every car on the lot has at least one of the three modest options: windows, brakes and radio. 40 cars have windows, 30 have brakes, and 50 have a radio. 21 cars have brakes and radio, 13 have windows and brakes. 17 have windows and radio. If 11 cars have all 3 options, what is the total number of cars on the lot ?

A. 69
B. 70
C. 80
D. 91
E. 120

Kudos for a correct solution.


Hi!
Do you have the official answer? Because I find 47 which is not included in answer choices. To me the correct formula is: Total= 40 + 30 + 50 - 21 - 13 - 17 - 2(11) = 47 Is that right?

Hi the formula you are applying is when the intersections are "exactly two group overlaps" . This question includes"sum of two group overlaps".
_________________
Even if it takes me 30 attempts, I am determined enough to score 740+ in my 31st attempt. This is it, this is what I have been waiting for, now is the time to get up and fight, for my life is 100% my responsibility.

Dil ye Ziddi hai !!!

GMAT 1 - 620 .... Disappointed for 6 months. Im back Im back. Bhai dera tera COMEBACK !!!
Intern
Intern
avatar
Joined: 18 Jan 2019
Posts: 8
Re: At a certain dealership, every car on the lot has at least one of the  [#permalink]

Show Tags

New post 18 Jan 2019, 08:02
Hey! It is really interesting task) My answer - 80
Intern
Intern
avatar
B
Joined: 13 Dec 2018
Posts: 7
Re: At a certain dealership, every car on the lot has at least one of the  [#permalink]

Show Tags

New post 18 Jan 2019, 08:30
ShankSouljaBoi wrote:
Malbash212 wrote:
Bunuel wrote:
At a certain dealership, every car on the lot has at least one of the three modest options: windows, brakes and radio. 40 cars have windows, 30 have brakes, and 50 have a radio. 21 cars have brakes and radio, 13 have windows and brakes. 17 have windows and radio. If 11 cars have all 3 options, what is the total number of cars on the lot ?

A. 69
B. 70
C. 80
D. 91
E. 120

Kudos for a correct solution.


Hi!
Do you have the official answer? Because I find 47 which is not included in answer choices. To me the correct formula is: Total= 40 + 30 + 50 - 21 - 13 - 17 - 2(11) = 47 Is that right?

Hi the formula you are applying is when the intersections are "exactly two group overlaps" . This question includes"sum of two group overlaps".


Thank you for your answer. Is it different from this one: https://gmatclub.com/forum/there-are-70 ... 97623.html
Manager
Manager
User avatar
G
Joined: 21 Jun 2017
Posts: 233
Concentration: Finance, Economics
WE: Corporate Finance (Commercial Banking)
Re: At a certain dealership, every car on the lot has at least one of the  [#permalink]

Show Tags

New post 18 Jan 2019, 08:37
Malbash212

Yes ! You got that right. Learn this formula, under exam conditions you will not get it right. Trust me on that. best of luck
_________________
Even if it takes me 30 attempts, I am determined enough to score 740+ in my 31st attempt. This is it, this is what I have been waiting for, now is the time to get up and fight, for my life is 100% my responsibility.

Dil ye Ziddi hai !!!

GMAT 1 - 620 .... Disappointed for 6 months. Im back Im back. Bhai dera tera COMEBACK !!!
GMAT Club Bot
Re: At a certain dealership, every car on the lot has at least one of the   [#permalink] 18 Jan 2019, 08:37
Display posts from previous: Sort by

At a certain dealership, every car on the lot has at least one of the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne