Question

In each question below are given two or three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts. Give answer
Statements: All professors are scientists.
Some professors are intelligent.
No intelligent is honest.
Conclusions: I. At least some professors being honest is a possibility.
II. All professors, if they are intelligent, are also honest

• A. if only conclusion I follows.
• B. if only conclusion II follows.
• C. if either conclusion I or II follows.
• D. if neither conclusion I nor II follows.
• E. if both conclusions I and II follow.

Answer 1

The correct option is A if only conclusion I follows.

According to the statements and conclusions given, Professors are subset of scientists and some of the professors are intelligent, and no intelligent is honest.In the figure, it can be seen that at least some of professors and scientists are honest.It is clearly given in the statements that no intelligent is honest.

Hence only Conclusion 1 follows .