In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then which of the given conclusions logically follows the given statements.
Statements.
I. All P are G.
II. Some F are P.
Conclusion:
I. All G are P.
II. All P are F.
III. Some F are not G.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. Neither conclusion follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. All G are P → False (It is possible, but no definite conclusion can be drawn.)
II. All P are F → False (It is possible, but no definite conclusion can be drawn.)
III. Some F are not G → False (It is possible, but no definite conclusion can be drawn.)
Hence, Neither conclusion follows.