Consider the following arguments

"In order to be a teacher one must graduate from college. All poets are poor. Some Mathematicians are poets. No college graduate is poor". Which one of the following is not a valid conclusion regarding the above

argument?

Note: In NIMCET 2025 Original Exam given line was missing.

"Which one of the following is not a valid conclusion regarding the above argument?"

Answer: (1) Some teachers are not Mathematicians — NOT valid.

Easy check:

• Teacher ⇒ College Graduate, and no graduate is poor ⇒ Teachers are not poor → (4) valid.

• All Poets are poor; graduates aren’t poor ⇒ Poets aren’t teachers → (3) valid.

• Some Mathematicians are Poets ⇒ they’re poor ⇒ not graduates ⇒ not teachers → (2) valid.

• (1) doesn’t follow: we’re told nothing about teachers vs mathematicians (and there might even be no teachers). Hence (1) is not a valid conclusion.