Explanation:

Definition of Multiples:
A multiple of a number is the product of that number and any whole number. For example, the multiples of 3 are 3, 6, 9, 12, 15, and so on.

Definition of Prime Numbers:
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, a prime number has only two factors - 1 and itself. For example, 2, 3, 5, 7, 11, 13, etc., are prime numbers.

Definition of Composite Numbers:
A composite number is a natural number greater than 1 that is not prime. In other words, a composite number has more than two factors. For example, 4, 6, 8, 9, 10, 12, etc., are composite numbers.

Explanation:

To solve this question, we need to identify the numbers that are multiples of 3, 5, and 7, except for the numbers 3, 5, and 7 themselves.

Multiples of 3:
The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, and so on. We need to exclude the number 3.

Multiples of 5:
The multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, 45, and so on. We need to exclude the number 5.

Multiples of 7:
The multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, and so on. We need to exclude the number 7.

Combining the Multiples:
Now, let's combine the multiples of 3, 5, and 7 that we obtained earlier and exclude the numbers 3, 5, and 7. We get the following set of numbers: 6, 9, 10, 12, 14, 15, 18, 20, 21, 24, 25, 27, 28, 30, 33, 35, 36, 39, 40, 42, 44, 45, 48, 49, 51, 54, 55, 56, 57, 60, 63, and so on.

Identifying the Numbers:
If we observe the set of numbers obtained, we can see that all of them have factors other than 1 and themselves. For example, 6 has factors 1, 2, 3, and 6. Similarly, all the other numbers in the set have factors other than 1 and themselves.

Conclusion:
Since all the numbers in the set have factors other than 1 and themselves, they are composite numbers. Therefore, the correct answer is option 'B' - composite numbers.