Logic Test - i don't get it

Soldato
Joined
12 Jan 2006
Posts
2,547
Could someone please explain to me why the following is Incorrect

a. All streets are routes of transportation.
b. None of the streets is a racing track.

Conclusion is: Some racing tracks are not routes of transportation.


I concluded the following venn diagram


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Grey = impossible

So surely some tracks are routes of transport as it doesn't say that all transport routes are streets?
 
I'm not sure what part is the question, what part is the correct answer and what part is your answer.

But your venn diagram does not match a and b.
Edit: or does it. Depends how I read the question.
 
The conclusion is wrong.

Why? Because it doesn't tell you anything about racing tracks being routes of transportation, and it doesn't say that only streets are routes of transportation.

Basically, it's possible for all racing tracks to be routes of transformation, and the two premises would still be valid.
 
Are these the only two pieces of information given?
  • All streets are routes of transportation.
  • None of the streets is a racing track.
What are the options in terms of the answers? Because at the moment I think I'd need more information to judge what is/is not correct.
 
nop no extra info.
you basically get the 2 statements a and b, with a concluding statement which you need to decide is correct or incorrect

Another example, this is the question as written in its entirety:
2. a. All Canadians are right handed.
b. All right handed are opticians.

Conclusion is: Some opticians are Canadian.

Is this
Correct
Incorrect
Where the answer is 'correct' as a canadian can be right handed and an optician

Apologies for the badly phrased initial question here it is better formatted
a. All streets are routes of transportation.
b. None of the streets is a racing track.

Conclusion is: Some racing tracks are not routes of transportation.
The right answer is that the conclusion is incorrect
 
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nop no extra info.
you basically get the 2 statements a and b, with a concluding statement which you need to decide is correct or incorrect

Another example, this is the question as written in its entirety:

Where the answer is 'correct' as a canadian can be right handed and an optician

Apologies for the badly phrased initial question here it is better formatted

The right answer is that the conclusion is incorrect

For both, the answer is that the conclusions are incorrect.
 
From the diagram the conclusion looks correct because the space in the track circle which does not overlap any of the other circles proves exactly that. Unless I'm being dumb :)

Oh wait YOU made the diagram, lol.

According to A transportation has to be a street. According to B no street is a track. Therefore no track can be a transport.

Wait let me think more :P
 
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nop no extra info.
you basically get the 2 statements a and b, with a concluding statement which you need to decide is correct or incorrect

In that case the answer is that it is incorrect or more accurately the information supplied is still incomplete so you can't actually say whether it is correct or not i.e. defaults to incorrect. Personally I'd be having words with the people who made the test, it really needs an option for "can't say" or similar.
 
In that case the answer is that it is incorrect or more accurately the information supplied is still incomplete so you can't actually say whether it is correct or not i.e. defaults to incorrect. Personally I'd be having words with the people who made the test, it really needs an option for "can't say" or similar.

Yeah, you're right. Technically the answer is 'Can't Tell' because there's not enough information to say whether the conclusion is correct or incorrect.

According to A transportation has to be a street. According to B no street is a track. Therefore no track can be a transport.

Wait let me think more :P


Not true. It says that all streets are transportation, but that doesn't mean that all transportations are streets ;)
 
In that case the answer is that it is incorrect or more accurately the information supplied is still incomplete so you can't actually say whether it is correct or not i.e. defaults to incorrect. Personally I'd be having words with the people who made the test, it really needs an option for "can't say" or similar.

I have been doing this all afternoon, honestly my head is hurting ><
It's for a pilot entry exam so i am afraid it is what it is :(
 
For both, the answer is that the conclusions are incorrect.

The optician one is definitely correct, diagram i made for that one



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All canadians are right handed, so this excludes all the left handed canadians from the scenario
All right handed are opticians, so this excludes all non-opticians from the scenario

Meaning a optician can be either a right handed canadian, or a right handed non-canadian
 
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Your diagram is wrong; the Streets circle must be inside the Transport circle, but the Racing circle may or not be a subset of the Transport circle!

Edit: Wait what. I've never seen anyone draw a Venn diagram like that before >.>
 
I have been doing this all afternoon, honestly my head is hurting ><
It's for a pilot entry exam so i am afraid it is what it is :(

Good luck with it, as you say it is what it is. That wouldn't necessarily stop me from putting down my thoughts if it was a written example and I had time though - I've done it before in exams and I'll probably do it again, I doubt that it makes the slightest bit of difference but it makes me feel a little bit better.
 
At the moment i am cheating and doing the pictures to get the process right in my head, in the exam itself you sit in front of a computer and have to work it all out in your head ><

The next section is a bit better though, it gives you 4 statements and you have to say which the 'most true' is
 
Maybe they want a simple answer then :)

E.g the conclusion is incorrect because no tracks are methods of transportation!

Either that or they havent given you enough information, I give up!
 
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