Mathematics
Statement I: 2, 4, 6 and 9 are composite numbers.
Statement II: A number is said to be a composite number if it has prime factors.
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
Statement I: 2 is a prime number, not a composite number (its only factors are 1 and 2). So 2, 4, 6 and 9 are not all composite.
∴ Statement I is false.
Statement II: A composite number is one which has more than two different factors (i.e., more than just 1 and itself). The given definition is incomplete/incorrect — every prime number also has prime factors (itself), but is not composite.
∴ Statement II is false.
Hence, option 4 is the correct option.
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