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The correct answer is option 3 i.e. 68.
Given series: 2, 3, 4, 8, 16, 25, 52, .......
The logic used here is:
2 + 12 = 3
3 + 13 = 4
4 + 22 = 8
8 + 23 = 16
16 + 32 = 25
25 + 33 = 52
52 + 42 = 68
The next term in the series is 68.
Hence, the correct answer is 68.