12
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I came across a puzzle (posed by my friends) that looked like this:

Which Number Replaces the Question Mark?

     6
  11 | 9
    \|/
2 -- ⬤ -- 4
    /|\
  16 | 14
     ?
  • A. 1
  • B. 2
  • C. 3
  • D. 5

Does anyone see any pattern here?

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4 Answers 4

22
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I would guess that the question mark should be:

$1$

The pattern I see:

The picture is a tilted square, standing on one of its corners.
Along each edge of the square, the sum of the three numbers is $19$.
$2+11+6=19$, and $6+9+4=19$, and $4+14+?=19$, and $?+16+2=19$

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3
  • 5
    $\begingroup$ Yup. Actually the puzzle is very nice example how visuals can be used as red-herrings in this type of things. It is so hard to ignore the lines... $\endgroup$
    – BmyGuest
    Commented Feb 8, 2015 at 17:21
  • 3
    $\begingroup$ @BmyGuest And that exactly what, in my opinion, makes this a bad puzzle. $\endgroup$
    – xnor
    Commented Feb 10, 2015 at 0:06
  • $\begingroup$ You are great, Gamow. The line leading to center is blinding me .... $\endgroup$ Commented Feb 18, 2015 at 0:59
9
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I'd say:

1

Reasoning:

the difference between the opposing pairs are rising primes. 2-4 (2) 11-14 (3) 1-6 (5) 16-9 (7)

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2
  • $\begingroup$ if I am not wrong - in this way two possible answers are option A and C $\endgroup$ Commented Feb 9, 2015 at 12:32
  • $\begingroup$ He said rising, 3 is not rising. $\endgroup$
    – DickieBoy
    Commented Feb 9, 2015 at 14:01
1
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Diffenrence in right left top and bottom is two (9,11 and 14,16), and left right 2,4. Vertical it's five, so I guess, as mentioned above, it's one (1,6).

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-3
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2

Looking at opposites and ignoring the sign, starting at the '2' and rotating clockwise

2 - 4 = 2

11 - 14 = 3

6 - ? = should be 4 therefore the number required is 2

9 - 16 = 5

I know this is not the answer being looked for, but another pattern :)

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1
  • 12
    $\begingroup$ How much is 9 - 16 again? $\endgroup$ Commented Feb 9, 2015 at 13:59

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