State whether the following statements are true or false:
Neither 21 is a prime number nor is it divisible by 3.

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True

False

answer is B.

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Detailed Solution

The given statement is false
Concept: Use the idea that prime numbers are those that are divisible by either 1 or themselves in this particular question. These numbers also have no common components other than 1. Use these ideas to arrive at the answer.
Below is a list of prime numbers. A = {1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, etc.} As a result, 21 is not a prime number since it is not included in the list above. Now multiply the 21 we have by 1,

So, as we can see, 1, 3, and 7 are the elements of 21. Therefore, 3 can be used to divide 21. Thus 21 is therefore divisible by 3 and not a prime number. As a result, the posed question is False.
Hence, the given statement is false

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