Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
I. No X is C.
II. Some A are C.
Conclusions:
I. Some C are not X.
II. Some A are X is a possibility.
III. All C are A.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Only conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some C are not X → True (As no X is C, so some C are not X is true.)
II. Some A are X is a possibility → True (As no X is C, and some A are C, so some A are X is a possibility.)
III. All C are A → False (It is possible but no definite conclusion can be drawn.)