Three statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All goats are black.
Some black are white.
No black is gold.
Conclusions:
I. Some goats are white.
II. Some goats being gold is a possibility.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. Neither conclusion I nor II follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some goats are white → False (It is possible but no definite conclusion can be drawn.)
II. Some goats being gold is a possibility False (It is possible but no definite conclusion can be drawn.)
Hence, Neither conclusion I nor II follows.