Mathematics
Statement I: 24 is a perfect number.
Statement II: If the sum of all the factors of a number is equal to twice the number, then the number is called a perfect number.
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: The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
Sum = 1 + 2 + 3 + 4 + 6 + 8 + 12 + 24 = 60.
Twice the number = 2 × 24 = 48.
Since 60 ≠ 48, 24 is not a perfect number.
∴ Statement I is false.
Statement II: This is the correct definition of a perfect number.
∴ Statement II is true.
Hence, option 2 is the correct option.
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