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globaldesi
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17 Aug 2020, 22:13
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
15% (02:07) correct
85%
(02:37)
wrong
based on 201
sessions
History
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Not Attempted Yet
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 times, 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 prototypes.
(2) As many people liked neither prototype as liked both of them.
(1) 120 people liked both prototypes.
(2) As many people liked neither prototype as liked both of them.
01 Sep 2020, 08:08
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globaldesi
Hi ShankSouljaBoi
I am not very fond of the wordings that leave a lot of ambiguity, but if you want to solve it..
Each driver gives a like or dislike for each of the 2 cars, so if you add the number of likes and number of dislikes, then HALF of it will be the number of drivers.
I believe the question means that the main reason/s for disliking car can be ONLY one - Performance or some other reason.
You may not be able to draw a conventional 2*2 matrix, but since you are looking for one, the matrix would be..
Two prototypes A and B... and likes - \(A_l,B_l\)...dislikes - \(A_d,B_d\)
The matrix would be something like this, and we are looking for the value of \(x+a+b+c\)
...……...\(……...A_l...........A_d....Total\)
\(B_l.....x............a\)
\(B_d....b............c.\)
Total
We may not know what is the value of a, b, or c, but \((a+c)+(b+c)=270+90=270...a+b+c=270-c\)
(1) 120 people liked both prototypes....=>x=120
.......\(.……..A_l...........A_d\)
\(B_l....120..........a\)
\(B_d....b............c.\)
\(Total..120+b......a+c....120+a+b+c=120+270-c\)
Nothing much. Insuff
(2) As many people liked neither prototype as liked both of them....=>y=c
.......\(……....A_l...........A_d\)
\(B_l....y..........a\)
\(B_d....b............c.\)
\(Total...y+b......a+c....y+a+b+c=y+270-c=c+270-c=270\)
Suff
B
General Discussion
From Statement 2
People who liked both prototype and who liked neither are same.
That means Total no of driver will be equal to 2*270
Anwer will be B
Take an example for 10 driver
if 5 drivers liked the prototypes and 5 liked neither then total drivers will be 10. There will be no driver who liked a single prototype.
People who liked both prototype and who liked neither are same.
That means Total no of driver will be equal to 2*270
Anwer will be B
Take an example for 10 driver
if 5 drivers liked the prototypes and 5 liked neither then total drivers will be 10. There will be no driver who liked a single prototype.
