Which of the following statements are so related that they cannot both be false, although they can both be true?

A. Some professors are spiritualists.

B. All professors are spiritualists.

C. No professors are spiritualists.

D. Some professors are not spiritualists.

Choose the correct answer from the options given below:

Question

Question

This question was previously asked in

UGC NET Official Paper 1: Held On 15 June 2023 Shift 2

Answer 1

The correct answer is A & D only
Important Points

A. Some professors are spiritualists:

This statement implies that there is at least one professor who is a spiritualist.
It does not make any claims about the majority or all professors being spiritualists.
This statement can be true if there is at least one professor who identifies as a spiritualist, but it can also be false if there are no professors who are spiritualists.

D. Some professors are not spiritualists:

This statement asserts that there is at least one professor who is not a spiritualist.
It acknowledges the possibility that some professors do not identify as spiritualists.
If there is at least one professor who is not a spiritualist, this statement would be true.
However, if all professors are spiritualists, this statement would be false.

Additional Information

B. All professors are spiritualists:

This statement asserts that every single professor is a spiritualist.
For this statement to be true, every professor in the given context must be a spiritualist.
If there is even one professor who is not a spiritualist, this statement would be false.

C. No professors are spiritualists:

This statement asserts that none of the professors are spiritualists.
It claims that there is not a single professor who identifies as a spiritualist.
This statement can be true if there are no professors who are spiritualists, but it would be false if there is at least one professor who is a spiritualist.