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Consider the following statements:

I. If x and y are composite numbers, then x+y is always composite.

II. There does not exist a natural number which is neither prime nor composite.

Which of the above statements is/are correct?

Solution

✅ Correct Option: 4

Statement I fails: 44 and 99 are composite but 4+9=134 + 9 = 13 is prime.

Statement II fails: 11 is a natural number that is neither prime nor composite.

Both are false.

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