Discussion
Find the missing number :
| 5 | 106 | 9 |
| 6 | 85 | 7 |
| 4 | 80 | ? |
Answer: C
The missing number is 8.
In each row, the middle number is the sum of the squares of the outer two:
\[ \begin{aligned} 5^{2} + 9^{2} &= 25 + 81 = 106 \\ 6^{2} + 7^{2} &= 36 + 49 = 85 \\ 4^{2} + ?^{2} &= 80 \Rightarrow ?^{2} = 64 \end{aligned} \]
So the missing number is 8. 11 and 15 would make the middle number 137 and 241, and 3 would make it 25.
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