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You are given a ring for which 1+1=3 and 9/12=0. Yet this ring is not trivial, quite the opposite. What is your answer?

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  • $\begingroup$ @GentlePurpleRain I would think that any ring (in some sense of the word?) that fits with the puzzle would work. (Of course, in the typical sense, there is no such thing, since $1+1=3$ and $9=12\cdot 0$ describes the trivial ring only) $\endgroup$ Commented Feb 1, 2016 at 22:21
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    $\begingroup$ @MiloBrandt I guess I didn't phrase my comment clearly. I was trying to point out that the OP doesn't actually ask a question. It says, "You are given a ring..." and then asks, "What is your answer?". It should either say something like, "Come up with a ring for which..." or it should ask something like, "What is the ring you were given?". $\endgroup$ Commented Feb 1, 2016 at 22:25
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    $\begingroup$ @MiloBrandt actually $9=12 \cdot 0$ works in any ring of characteristic 3. Whereas $\frac{9}{12} = 0$ does trivialize the ring in the typical sense because it requires 12 to be invertible. $\endgroup$ Commented Feb 1, 2016 at 22:36
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    $\begingroup$ The amount of downvotes on this question is appalling. $\endgroup$
    – dmg
    Commented Feb 5, 2016 at 14:00
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    $\begingroup$ @GentlePurpleRain Have a look at the answers, and you will see that the question is phrased perfectly. $\endgroup$
    – dmg
    Commented Feb 5, 2016 at 14:02

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My answer is:

No, I'll not marry a stranger from the internet

The ring is

An engagement ring (see hexomino's reasoning) - definitely not trivial!

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  • $\begingroup$ Yes, that makes more sense. $\endgroup$
    – hexomino
    Commented Feb 1, 2016 at 23:52
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I think the answer is

The Circle of Life.

because

1+1=3 refers to a man and a woman coming together to make a man, woman and child. 9/12 refers to 'nine months' at which point a baby is 0.

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