1
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Which square doesn't belong here and why?

Image

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    $\begingroup$ I am fine with downvotes. Would appreciate to know the reason so that I could improve the quality of my questions. $\endgroup$ – Lazy Ninja Nov 28 '14 at 8:57
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    $\begingroup$ I think this question is original and there is no need to be down-voted. But there are guys who downvotes questions like guessing the next in the sequence and find the odd one out puzzles, claiming that it can have multiple correct answers. $\endgroup$ – AeJey Nov 28 '14 at 9:02
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    $\begingroup$ Downvotes are community indicators for bad quality, a comment is essential only if there is a specific reason, its my downvote and I believe such questions don't contribute to "quality" content in this site - trivial, unsearchable, too broad are some of the reasons $\endgroup$ – skv Nov 28 '14 at 9:05
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    $\begingroup$ @thin I'm not trying to pressure him into it I'm just trying to notify him we're still here through a comment. It's approaches 24 hours, he's got 7 answers, I'm interested to know which is correct. $\endgroup$ – warspyking Nov 29 '14 at 9:23
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    $\begingroup$ The reason to consider this question as too broad is because of this very reason that we have many seemingly equally valid and acceptable answers I dont know why its not earning one more close vote $\endgroup$ – skv Nov 29 '14 at 12:51
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Answer is

3 (third square)

In all the other squares except

3rd square, 3 (three) lines divides the square in to 5 parts, while in 3rd square the lines (three lines) divides it to 6.

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34
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The big orange one. All the others are brown.

It's clearly the odd one out.

enter image description here

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    $\begingroup$ This wasn't tagged lateral thinking... $\endgroup$ – warspyking Nov 28 '14 at 16:32
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    $\begingroup$ It asks which square is the odd one out. I see 5 squares, one of them is markedly different from the others. $\endgroup$ – Richard Nov 28 '14 at 16:37
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    $\begingroup$ By this logic I can say my screen is the odd one out -_- $\endgroup$ – warspyking Nov 28 '14 at 17:00
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    $\begingroup$ @warspyking you have a square screen? how peculiar! $\endgroup$ – njzk2 Nov 28 '14 at 17:58
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    $\begingroup$ @ir7 - The numbers are purely to distract you. $\endgroup$ – Richard Nov 28 '14 at 23:48
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Only number 1...

has lines that meet the bounding square at a corner

Only number 2...

lacks any lines that slant down and to the right

Only number 3...

(a) divides the square into 6 areas instead of 5, (b) contains two complete intersections, and (c) includes a complete red triangle

Only number 4...

has no uniquely distinguishing characteristics. So my guess is 4.

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    $\begingroup$ 4 does have a unique distinguishing characteristic now! The fact that it don't have the others! $\endgroup$ – warspyking Nov 28 '14 at 16:01
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    $\begingroup$ @warspyking This may be of interest, for both this and countable infinite sets of squares/elements/other things. $\endgroup$ – ζ-- Nov 28 '14 at 16:57
  • $\begingroup$ @hexa That is interesting... $\endgroup$ – warspyking Nov 28 '14 at 17:04
  • $\begingroup$ This was my guess. The only one that I thought of at least. $\endgroup$ – erdekhayser Nov 29 '14 at 13:46
  • $\begingroup$ 4 is the only one who's triangle does not have two sides of the same length. $\endgroup$ – Michael Dorst Nov 29 '14 at 19:51
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Answer is

3

Because

1, 2 and 4

could be a part of representation of

number 4, mirrored or rotated. enter image description here

But the picture in number

3

is different.

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    $\begingroup$ how is it different ? it is still 3 lines intersecting. $\endgroup$ – njzk2 Nov 28 '14 at 14:42
  • $\begingroup$ This is what I thought at first too. $\endgroup$ – Joe Z. Nov 28 '14 at 16:19
  • $\begingroup$ @njzk2, but they did not across throw their intersection. in those 3 lines ended in proper place $\endgroup$ – Rafe Nov 28 '14 at 17:48
  • $\begingroup$ @Rafe: sorry I don't understand what you mean by they did not across throw their intersection. 3 lines in a plane either intersect, or 2 of them are parallel. (no figure shows parallel lines, so.) $\endgroup$ – njzk2 Nov 28 '14 at 18:00
  • $\begingroup$ @njzk2, my bad! not good in english :-) i mean lines in 3rd square continued after their intersection. this is something more that a 4. so 3rd square cannot represent number 4's shape. but you can create number 4 with continuing lines of other squares. $\endgroup$ – Rafe Nov 28 '14 at 18:08
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I choose

frame 3 because is the only one that shows the triangle created by the three lines through their pairwise intersections. In all four cases the (non-trivial) triangle exists, but in cases 1, 2 and 4 it is not presented within respective frame. (Edit: note that this is technically equivalent to AeJey's answer that observes the number of parts the frame is split into by the three lines.)

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4
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Clearly the odd one out is

4.

Graphical explanation

Explanation

Wordy explanation:

1,3,2 are slices of a bigger picture. 4 does not fit with any of them. Even if we prolongue the lines in 1,2,3 they still fit well in the overall picture.

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    $\begingroup$ I'm sorry, but I don't understand. What are you saying? $\endgroup$ – Michael Dorst Nov 29 '14 at 19:53
  • $\begingroup$ @anthropomorphic Perhaps it makes more sense now? $\endgroup$ – Tibos Nov 30 '14 at 9:01
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    $\begingroup$ I get what you're saying, but I don't think you're right. I think you could still find a rotation of 4 that would fit in the picture. Also, 1 and 3 don't match up that well. $\endgroup$ – Michael Dorst Nov 30 '14 at 21:03
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The answer is;

Frame 3

For three reasons:

  • 1

When you extend the lines of 1, 2, and 4, they can join in a path of 3 lines which are in broken. You cannot do this with 3.

  • 2

When you look at how many sections of white space there are in 1, 2, and 4 there's 5. In 3 there's 6

  • 3

3 is the only square, where the lines within the frame make a triangle.

So obviously it has to be the answer stated above!

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    $\begingroup$ I was going to answer three for your reason 1. $\endgroup$ – Chris Nov 28 '14 at 16:37
  • $\begingroup$ And only 3 shows 2 intersections. $\endgroup$ – Florian F Dec 1 '14 at 14:26

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