Question

Two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which one of the given conclusions are definitely drawn from the given statements.

Statements
All university professors have a doctorate degree.
X is a lady professor.

Conclusions
I. X does not have a doctorate degree.
II. Only men professors have a doctorate degree.

• A. Both I & II follow
• B. Only I follows
• C. Neither I nor II follows
• D. Only II follows

Answer 1

The correct option is C Neither I nor II follows

Both the premises are universal affirmative. We can align the premises by changing their order. Thus,
X is a lady professor.
All university professors have a doctorate degree.
We know that,
$A+A\to A$ -type conclusion.
Thus our derived conclusion would be "X has a doctorate degree".