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In this grid of numbers, what is the missing number (in place of the question mark)?

$$\begin{array}{|c|c|}\hline2&7\\\hline8&9\\\hline\end{array} \begin{array}{|c|c|}\hline0&3\\\hline5&6\\\hline\end{array} \begin{array}{|c|c|}\hline0&11\\\hline10&11\\\hline\end{array} \begin{array}{|c|c|}\hline2&?\\\hline4&3\\\hline\end{array}$$

(source image in Arabic)

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    $\begingroup$ Does this puzzle have a source? $\endgroup$
    – user20
    Jan 23, 2015 at 16:21
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    $\begingroup$ Does this puzzle work with the standard arabic numbers? $\endgroup$
    – Gamow
    Jan 23, 2015 at 16:23
  • $\begingroup$ doesnt different form of the numbers (arabic or english). i now edited the pictures $\endgroup$
    – Arash
    Jan 23, 2015 at 16:28
  • $\begingroup$ I don't see any difference between the old and the new picture. $\endgroup$
    – March Ho
    Jan 23, 2015 at 16:30
  • $\begingroup$ Assuming the numbers map to this image , the 4 matrices are (2,7,8,9), (0,3,5,6), (0, 11, 10, 11), (2, ?, 4, 3) $\endgroup$
    – March Ho
    Jan 23, 2015 at 16:34

2 Answers 2

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The missing number is

1.

because

You can interpret the two numbers on the top of each grid as a single decimal number, but with the ones digit written first, e.g. "2 7" becomes 72. This top number is then the product of the two numbers below. So 72 = 8*9, 30 = 5*6, 110 = 10*11, and 12 = 3*4.

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This can be viewed as three equations with 3 unknowns.

$$2A+0B+0C=2$$ $$8A+5B+10C=4$$ $$9A+6B+11C=3$$ $$7A+3B+11C=?$$

$$? = \frac{53}{5}$$

I don't believe this is the intended answer but it is valid.

Alternatively:

$$2A+8B+9C=7$$ $$0A+5B+6C=3$$ $$0A+10B+11C=11$$ $$2A+4B+3C=?$$

$$?=10.6$$

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  • $\begingroup$ oh bro, i think it must be from Natural number . $\endgroup$
    – Arash
    Jan 23, 2015 at 21:52

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