Find the correct alternatives which will replace the question mark.

25

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37

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98

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129

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Solution

The correct option is A $25$
The given figures follow a pattern :
$(16 - 6)^{2} + (5 - 2)^{2} = 10^{2} + 3^{2} = 100 + 9 = 109$
$(22 - 15)^{2} + (21 - 19)^{2} = 7^{2} + 2^{2} = 49 + 4 = 53$
Similarly, $(17 - 13)^{2} + (51 - 48)^{2} = 4^{2} + 3^{2} = 16 + 9 = 25$ .
Hence, $25$ replaces question mark.

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