Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 18 Jul 2019, 23:08

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

A car manufacturer organized a test drive of two of its prototypes

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

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
B
Joined: 02 Feb 2017
Posts: 15
Concentration: Entrepreneurship, Strategy
Schools: Insead Sept '17
GMAT ToolKit User
A car manufacturer organized a test drive of two of its prototypes  [#permalink]

Show Tags

New post 09 Apr 2017, 07:50
3
11
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

24% (02:12) correct 76% (02:47) wrong based on 161 sessions

HideShow timer Statistics


A car manufacturer organized a test drive of two of its prototypes. Each driver tested both prototypes and was asked if he or she liked the prototype. If a driver did not like a prototype, he or she was asked if the prototype's performance was the main reason. A driver did not like a prototype because of its performance 180 itmes, whereas only half as often a driver did not like a prototype because of some other major reason. How many test drivers were there?
(1) 120 people liked both protototypes.
(2) As many people liked neither prototype a liked both of them
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7764
Re: A car manufacturer organized a test drive of two of its prototypes  [#permalink]

Show Tags

New post 09 Apr 2017, 17:51
3
6
RUSDI wrote:
A car manufacturer organized a test drive of two of its prototypes. Each driver tested both prototypes and was asked if he or she liked the prototype. If a driver did not like a prototype, he or she was asked if the prototype's performance was the main reason. A driver did not like a prototype because of its performance 180 itmes, whereas only half as often a driver did not like a prototype because of some other major reason. How many test drivers were there?
(1) 120 people liked both protototypes.
(2) As many people liked neither prototype a liked both of them


Hi..
180 did not like because of the performance and half of it or 180/2 that is 90 did not like for some other reason.
Total who did not like = 180+90-b where b is the number of people who did not like BOTH..

Total number of test drivers = 270-b+x where x is the number of people who like both.

So we require to know value of b and x.

Let's see the statements..
1) 120 like both.
So we know x but b is still not known
Insufficient

2) b=x.
Number = 270-b+x=270-x+x=270
Sufficient

B
_________________
General Discussion
Intern
Intern
avatar
B
Joined: 08 Jul 2013
Posts: 13
Re: A car manufacturer organized a test drive of two of its prototypes  [#permalink]

Show Tags

New post 11 Apr 2017, 02:02
Can someone please post a nice detailed solution to this? Thanks
Senior Manager
Senior Manager
avatar
G
Joined: 24 Apr 2016
Posts: 327
Re: A car manufacturer organized a test drive of two of its prototypes  [#permalink]

Show Tags

New post 07 Jul 2017, 00:21
2
rt9 hope this helps

Let,

A = Drivers who liked the Prototype 1, but did not like Prototype 2 either for Performance issue or some other Reason
C = Drivers who liked the Prototype 2, but did not like Prototype 1 either for Performance issue or some other Reason
B = Drivers who liked both the Prototype 1 & 2
D = Drivers who did not like both Prototype 1 & 2

Total Number of Drivers = A + B + C + D

Given in question Stem


A Driver did not like a prototype because of it's performance 180 times, whereas did not like it for some other reason 90 times.


This means,

'A' No. of drivers who did not like Prototype 2 for either Performance/other reason + 'C' No. of drivers who did not like Prototype 1 for either Performance/other reason + 2 * 'D' the number of drivers who did not like both Prototype 1 & 2 = 180 + 90 = 270

Therefore, A+B+2D = 270

[Since D no. of drivers once tested prototype 1 and, 2 then protototype 2, each of the D drivers would have two opinions each. Since Both Opinions were negative, Hence we are taking twice D.]

Statement 1: 120 people liked both prototypes.

This just gives us the value of C, but nothing about A, B and D. Hence this statement is not sufficient.

Statement 2: As many people liked neither prototype as liked both of them

This tells us that C = D, which means

A+B+2D = A+B+C+D = 270

As we can find the total number of drivers, this statement is sufficient.

Answer is B
Attachments

Question.jpg
Question.jpg [ 37.02 KiB | Viewed 1915 times ]

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 11704
Re: A car manufacturer organized a test drive of two of its prototypes  [#permalink]

Show Tags

New post 18 Jul 2018, 02:24
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
Re: A car manufacturer organized a test drive of two of its prototypes   [#permalink] 18 Jul 2018, 02:24
Display posts from previous: Sort by

A car manufacturer organized a test drive of two of its prototypes

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





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