Math question from a quiz

Discussion in 'Physics & Math' started by arfa brane, Jul 22, 2015.

  1. arfa brane call me arf Valued Senior Member

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    Continuing in the same vein:

    Which of the figures doesn't belong (and why)?: A D E I J Z
     
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  3. arfa brane call me arf Valued Senior Member

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    Again, I think ambiguity reigns with this one. If you suppose the figures are all fixed--you can't change them, say by removing the serifs--then the D and A are the only ones with closed parts or components.

    If you are allowed to say, deform them--remove the serifs and start bending them around, then the A and D stay closed, but you have to shrink the tails on A to make A and D equivalent (topologically). If you aren't allowed to shrink lines to a point the A and D are distinct, but the last four letters can shrink to a point and vanish if you are allowed, oops!.

    So I guess you could offer a fairly safe answer that it's the first two because they are the only figures with closed curves in them. On the other hand . . .
     
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  5. BrianHarwarespecialist We shall Ionize!i Registered Senior Member

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    I pick " i and j" "I and J"

    Because if this set of figures was represented in lower case
    " a, d, e, i, j, z," you notice i and j are the only figures (plural) that have dots above them.
     
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  7. 1100f Banned Registered Senior Member

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    All figures (except for the kite) have the letter 'r' in their names. So maybe the odd one is the kite
     
  8. BrianHarwarespecialist We shall Ionize!i Registered Senior Member

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    Maybe not because the question is specifying whats the difference between figures, but not the names of the figures that chain of logic seems ambiguous. I don't see any clear logical path leading to "r" as a special group it's too random.
     
    Last edited: Jul 27, 2015
  9. BrianHarwarespecialist We shall Ionize!i Registered Senior Member

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    I also picked the kite but because it is the only figure that doesn't have any parralell lines.
     
  10. BrianHarwarespecialist We shall Ionize!i Registered Senior Member

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    With your logic I could also pick the rhombus as the odd one out because it's the only "name" without an "e"
     
  11. BrianHarwarespecialist We shall Ionize!i Registered Senior Member

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    You see these question are like probability there are usually many good answers but most of the time the right answer is simple to comprehend why it's is right. If there exist confusion and doubt in the answer chosen then there is a good chance it's not correct. The correct answer usually carries a greater sense of certainty than the othe available options.
     
  12. 1100f Banned Registered Senior Member

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    The question was to name the odd figure
     
  13. BrianHarwarespecialist We shall Ionize!i Registered Senior Member

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    You missed when I said

    With your logic I could also pick the rhombus as the odd one out because it's the only "name" without an "e"
     
  14. BrianHarwarespecialist We shall Ionize!i Registered Senior Member

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    When you can remove probability you arrive at certainty.
     
  15. 1100f Banned Registered Senior Member

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    In the question that was asked, it is 100% certain that the kite is the only object that does not have the letter 'r' in its name
     
  16. BrianHarwarespecialist We shall Ionize!i Registered Senior Member

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    Make me an argument that figures that are in name group 'r' are more special than name group 'e' ?

    Certainty must be expressed in its appropriate context.
     
  17. 1100f Banned Registered Senior Member

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    Well, if you look at the question, you can see that there is a series of figures with their name. The question didn't specify based on what feature should the odd figure be chosen. So that not having the 'r', not having the 'e', being a totally black figure (like the trapez), not having a symmetry axis (again like the trapez), all are equally valid answers
     
  18. BrianHarwarespecialist We shall Ionize!i Registered Senior Member

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    The word "figure" is to be understood as the commonly accepted definition in the English language as a shape or form in this context of figures. What shape or form does black belong in? Again why is group 'r' more special than group 'e'?
     
  19. 1100f Banned Registered Senior Member

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    807
    It is not. As I said in my previous post, your answer with 'e' is no more and no less valid
     
  20. BrianHarwarespecialist We shall Ionize!i Registered Senior Member

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    As for the trapazoid not having a symmetry axis is a good logical analysis and could be investigated further.
     
  21. BrianHarwarespecialist We shall Ionize!i Registered Senior Member

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    This is why I can invalidate both "e" and "r" as inaccurate if they are equivalent that chain of logic that binds them is not certain to reach of any singular definitive position.
     
  22. BrianHarwarespecialist We shall Ionize!i Registered Senior Member

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    Actually this may actually be the best answer becuase all of the other figures are evenly symmetric but the trapzoid is odd with no symmetry. That to me is the clearest distinction.
     
  23. 1100f Banned Registered Senior Member

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    There is no best answer
     

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