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Given below are two statements:

Statement I : The number 1 is a prime number.
Statement II : The number 2 is NOT a prime number.

In the light of the above statements, choose the correct answer from the options given below:

  • A.Both Statement I and Statement II are true.
  • B.Both Statement I and Statement II are false.
  • C.Statement I is true but Statement II is false.
  • D.Statement I is false but Statement II is true.

Answer: B

Both Statement I and Statement II are false.

A prime number has exactly two distinct positive factors, 1 and itself.

1 has only one positive factor, so it is not prime; Statement I is false. 2 has exactly two factors, 1 and 2, so it is prime (the only even prime); Statement II, which says 2 is not prime, is also false.

Both statements reverse a basic fact, so every option calling either of them true is wrong.

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