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

Question

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

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(1) 120 people liked both protototypes.

(2) As many people liked neither prototype a liked both of them

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GMATinsight · Answer

The information in the question stem tells us that we have a total of 270 dislikes among the drivers.

We need to find the total number of likes, and from that we can calculate the number of drivers.

Statement 1  : 120 people liked both protototypes.

we don't know how many people liked just 1 prototype

NOT SUFFICIENT

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

NOT SUFFICIENT

Combining the statements together

we can see that 120 people liked neither (that's 240 dislikes in total) and 120 liked both, meaning that 30 (from the information in the question stem) people liked one prototype.

Answer Option C.

Mo2men · Answer

Dear  BrentGMATPrepNow

Can you help please with question through double matrix? I do nor know to the matrix will look like in the above case.

Thanks in advance

BrentGMATPrepNow · Answer

Unless I'm misreading the question, the information doesn't look to be suitable for the Double Matrix method or the overlapping sets formula.

The problem is that there are too many criteria.

If we say that car A and car B were test-driven we have: 
- drivers who liked car A and drivers who didn't like car A
- drivers who liked car B and drivers who didn't like car B
- drivers who disliked car A and felt there was a performance issue and drivers who disliked car A and didn't feel there was a performance issue
- drivers who disliked car B and felt there was a performance issue and drivers who disliked car B and didn't feel there was a performance issue
 
This is too many criteria to apply the Double Matrix method or any formulas.

Cheers, 
Brent

Mo2men · Answer

BrentGMATPrepNow

I think from the wording (which is bad), the total DISLIKE will be 270 , regardless the of reason of the dislike itself. I think in this case the problem will be solvable with double matrix.

What do you think?

bumpbot · Answer

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

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