Mathematics
Statement I: The sum of the only prime triplet is 15.
Statement II: There exists one and only one prime triplet, i.e. 3, 5 and 7.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
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Answer
A prime triplet is a set of three consecutive prime numbers of the form p, p + 2, p + 4.
The only such set is 3, 5, 7.
Sum = 3 + 5 + 7 = 15.
∴ Both Statement I and statement II are true.
Hence, option 3 is the correct option.
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