It's a logic question -- AHHHHH! Head for the hills! Into that cave quick!

Cem is a smart student whose teacher made the following claim: "If Cem takes the test, he will score 100%." However it turned out that Cem did not score 100% in the test. Assuming that the claim made by Cem's teacher was correct, which of the following can be deduced?

A: Cem took the test and some of his answers were incorrect.
B: Nobody was able to score 100% on that test day, neither did Cem.
C: Cem left some questions unanswered in the test.
D: Some of Cem's friends scored 100% on the test.
E: Cem did not take the test.


Yes I do know the answer. So do not just tell me what the answer is. Rather I'm wondering how to get the answer. So all of you logicians crawl out of the woodwork, and show me please! It isn't that hard of a question to answer, but my logic is really bad.

Based on the selection, Clem did not take the test.  Elementary My Dear Dr. Watson.

Janet

Yea it is E. Actually I just looked up some logic crap. It seems to have something to do with being contrapostive or something. I know I'm stupid lol...

No one else needs to reply now! I know what it is now! I'm such an idiot at times.

Ooooh I remember logic!

Well, actually, I don't remember ANYTHING from logic, but I sure remember taking it.  Ugh. 

Good luck!

E. 

Some of Cem's friends scored 100% on the test
That does not preclude Cem from scoring 100, it said nothing about who else might score that high.

: Cem left some questions unanswered in the test.
Does not matter, Cem, if he TOOK the test would score 100 no matter what, there were no preconditions given.

Nobody was able to score 100% on that test day, neither did Cem
Again, does not matter, if Cem took the test, he would score 100, no matter what anyone else scored.

Cem took the test and some of his answers were incorrect
Again it does not matter if Cem took the test, he would score 100, that is regardless of the answers given. but I'm thinking Cem has a good sexual harassmet case going on here.



Hence, Cem did NOT take the test as the only precondition that was given was that 'if Cem takes the test.'

tekla, who always showed her work, hence got 110% on every test and a 3.92 GPA through all three degrees.

Quote from: tekla on June 25, 2008, 09:13:56 PM
E. 

Some of Cem's friends scored 100% on the test
That does not preclude Cem from scoring 100, it said nothing about who else might score that high.

: Cem left some questions unanswered in the test.
Does not matter, Cem, if he TOOK the test would score 100 no matter what, there were no preconditions given.

Nobody was able to score 100% on that test day, neither did Cem
Again, does not matter, if Cem took the test, he would score 100, no matter what anyone else scored.

Cem took the test and some of his answers were incorrect
Again it does not matter if Cem took the test, he would score 100, that is regardless of the answers given. but I'm thinking Cem has a good sexual harassmet case going on here.



Hence, Cem did NOT take the test as the only precondition that was given was that 'if Cem takes the test.'

tekla, who always showed her work, hence got 110% on every test and a 3.92 GPA through all three degrees.

Oh that's right, now I remember something from logic.  The answer is...logical, the amount of work to prove it is.....

Thanks to those who decided to answer my ridiculously simple question. I'll try to make it harder next time.

Logic is always about the work, never the answer.

Quote from: tekla on June 25, 2008, 10:00:49 PM
Logic is always about the work, never the answer.

With you, honey, it's always about the work, isn't it?

Nichole

Guilty as charged.  The best feeling I know is waking up thinking "I get to work today."  The worst feeling I ever knew was waking up and thinking "crap, I have to work today."  The difference between the two is the real difference between being really, really, happy or very sad.

Quote from: je on June 25, 2008, 08:54:04 PM
"If Cem takes the test, he will score 100%." However it turned out that Cem did not score 100% in the test. Assuming that the claim made by Cem's teacher was correct, which of the following can be deduced?

LOL! What you are asking for is the formal proof.

Dictionary:
X = Cem takes the test
Y = Cem scores 100% on the test

Proof:
1. X implies Y  {stated}
2. not Y {stated}
3. ( X implies Y ) and ( not Y ) {from 1 and 2 by conjuction}
4. not X {from 3 by modus tolens}
Therefore: Cem did not take the test. {QED 4}

Quote from: Lisbeth on June 26, 2008, 12:01:43 AM
Proof:
1. X implies Y  {stated}
2. not Y {stated}
3. ( X implies Y ) and ( not Y ) {from 1 and 2 by conjuction}
4. not X {from 3 by modus tolens}
Therefore: Cem did not take the test. {QED 4}

I agree.  According to formal logic, it is physically impossible for Cem to have taken the test, regardless of how the test itself is scored.

Quote from: tekla on June 25, 2008, 10:31:55 PM
Guilty as charged.  The best feeling I know is waking up thinking "I get to work today."  The worst feeling I ever knew was waking up and thinking "crap, I have to work today."  The difference between the two is the real difference between being really, really, happy or very sad.

You have no idea how much that has made me think...

you really opened my eyes there =x

Quote from: tekla on June 25, 2008, 10:31:55 PM
Guilty as charged.  The best feeling I know is waking up thinking "I get to work today."  The worst feeling I ever knew was waking up and thinking "crap, I have to work today."  The difference between the two is the real difference between being really, really, happy or very sad.

That is how I felt for most of my career at Eastman Kodak.  For 12 of my 13 years there, I looked forward to going in.  Only 1 year was "crap, I gotta go in today."  That was the year when they took me out on a stretcher.  (EKG's...  Enzyme tests...  Chest pains...  Not a good year...)  What I can say is that I left Kodak with the same feeling I started with - looking forward to going into work.  Probably why I still prefer film to digital.

Chaunte

I have a Kodak digital cam myself, and I like the ability that it gives me to take a lot of pictures without having to take out a loan, and the fact that I can see them right away and re-shoot as needed.  But at least Kodak got out front in all that, good for them, they have always been a pretty good company.