A little logic question

Discussion in 'General Discussion' started by Streck, Jul 6, 2006.

  1. Streck

    Streck <B><FONT COLOR="#FF0000">QED</B></FONT> Veteran

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    This had me laughing for a good few minutes. I picked it off another forum.

    Given:

    1. All education majors student teach.
    2. Some education majors have double majors.
    3. Some mathematics students are education majors.

    Which of the following conclusions necessarily follows from 1, 2, and 3 above?

    A. Some mathematics students have double majors.
    B. Some of those with double majors student teach.
    C. All student teachers are education majors.
    D. All of those with double majors student teach.
    E. Not all mathematics students are education majors.
     
  2. Ops_was_a_truck

    Ops_was_a_truck JOOOLIE ANDREWWWWWS!!!!!!

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    Ugh. Here's throwing my stupid ass into the ring...

    WORKS:

    Okay, I believe E follows, as "some" = "not all".

    ...and I believe B follows, as the logic looks like it fits correctly there.

    DOESN'T WORK:

    Although A would be correct, I don't think it follows.

    C does not follow, so far as I can figure.

    JURY'S OUT ON:

    D. This is the one I'm having the hardest time wrapping my mind around. I'd say it follows, but it seems like there's a logic jump I'm missing there.

    Streck, if you don't want to spoil the answers, can you PM them to me?
     
  3. RandomFerret

    RandomFerret Fuzzy Forever

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    B and only B.
     
  4. MegaMoonMan

    MegaMoonMan www.megamoonman.com TFW2005 Supporter

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    E for sure, since it's just restating 3.

    The wording on D is goofy. If it said "All of those education majors with double majors student teach.", then I'd say D too, but it doesn't say that, and I'm not sure if it's implied.

    Same wording issue for B.

    Not C, because what if they became student teachers by other means?

    A could be assumed, but it doesn't precisely follow the facts, so no.

    It's a bad question, and I can understand people getting it wrong.
     
  5. Vector Sigma

    Vector Sigma <b><i><font color=FFFF00>Crazy Colon Burner!!!!</b Veteran

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    Just E, I think...

    *EDIT* B as well...
     
  6. McBradders

    McBradders James Franco Club! Moderator

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    MY MIND. It melts.

    Like butter.
     
  7. RabidYak

    RabidYak Go Ninja Go Ninja Go

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    I'll go for D.

    Theres nothing in opening statements to confirm A and C either way. In regaurds to B and E, "Some" is a non-specific amount wheras "All" is an absolute. The opening staments specifically says that all majors student teach, so by extention all double majors must student teach because you have to be a major to have a double major.
     
  8. funkatron101

    funkatron101 TFW2005 Supporter

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    C speaks to me.

    D doesn't. What if the double majors are not in education?
     
  9. Team Jetfire

    Team Jetfire Pop-POP!

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    Ok, so one by one

    a. The given implies that some of the education majors are math students, no majors so it is out.
    b. As all edu majors teach, and some ed majors have double majors it would seem true that some double majors, student teach.
    c. Nothing to support yes or no….
    d. Nothing to support yes or no…
    e. True, 3 states that some math students are education majors.

    Can you choose two? B and E look right. I would say that b follows better than E but…
    :confused: 
     
  10. funkatron101

    funkatron101 TFW2005 Supporter

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    I changed my mind, E is correct.
     
  11. Dark_Convoy

    Dark_Convoy Old Bastard Veteran

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    B?
     
  12. Brandon

    Brandon This is important work.

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    I think B. Someone could be a double major with one being Education(hence the student teaching) and the other being something like Math, English, History, etc.
     
  13. ambushbug74

    ambushbug74 Stroke me, Stroke me! TFW2005 Supporter

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    "I believe I was told that there would be no math." -Chevy Chase as Gerald Ford in an old SNL sketch
     
  14. tikgnat

    tikgnat Baweepgranaweepninnybong. TFW2005 Supporter

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    A, D, E seem to follow on.

    I would have said B checks too, but ALL double majors student teach, not some.

    What be the answer? What dammit!
     
  15. Frognal

    Frognal Prodigal Son Returned

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    1. All E are S
    2. Some E are D
    3. Some M are E

    A. Some M are D
    B. Some D are S
    C. All S are E
    D. All D are S
    E. Not all M are E

    The answer is B.
     
  16. BiCat

    BiCat Banned

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    I say they all apply
     
  17. Foster

    Foster Super Mod

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    The answer is B, although I'm rusty on some of this. The term some is not restrictive, which means E does not necessarily follow. Some is not the same as not all, which probably threw most of those who took this. B is the only answer that necessarily follows, specifically from 1 and 2.

    Where did you find this? I'd like to do more!
     
  18. TrickyDisco

    TrickyDisco <b><font color=blue>Voted TFW2005's Sexiest Female

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    GAAH! My poor brain cells..... :eek: 

    *System failure*
    *System failure*
     
  19. Emperor Mengde

    Emperor Mengde Instrumentalist

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    I would say the answer is B as well...but gah, it's just like I'm taking the damn LSAT's again.
     
  20. RandomFerret

    RandomFerret Fuzzy Forever

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    No they don't.
     

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