Discussion
What is the missing number in the given figure ?
Answer: B
The missing number is 25.
In each figure, subtract the bottom number from the left number and the right number from the top number, then add the squares of the two differences:
\[ \begin{aligned} (16 - 6)^{2} + (5 - 2)^{2} &= 100 + 9 = 109 \\ (22 - 15)^{2} + (21 - 19)^{2} &= 49 + 4 = 53 \\ (17 - 13)^{2} + (51 - 48)^{2} &= 16 + 9 = 25 \end{aligned} \]
The rule gives the centre numbers of the first two figures exactly, so the third centre is 25. 7 is just the sum of the two differences, and 49 and 129 do not fit the rule.
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