Answer (Detailed Solution Below)

Option 4 : 31

Detailed Solution

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The logic is:

Figure (1) → \(\sqrt{36} + \sqrt{64} + \sqrt{25} + \sqrt{49} = 6 + 8 + 5 + 7 = 26 \)

Figure (2) → \(\sqrt{9} + \sqrt{25} + \sqrt{16} + \sqrt{81} = 3 + 5 + 4 + 9 = 21 \)

Similarly,

Figure (3) → \(\sqrt{25} + \sqrt{144} + \sqrt{36} + \sqrt{64} = 5 + 12 + 6 + 8 = 31 \)

Hence, the correct answer is "Option 4"..

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