Three Statements are given followed by Three conclusions numbered I, II, and III. 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 books are plastic.
Some plastic are cups.
All cups are glass.
Conclusions:
I. Some plastic are books.
II. All plastic are cups.
III. Some cups are glass.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. Both conclusions I and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some plastics are books → True (As all books are plastics, so, some plastics are books is also true.)
II. All plastic are cups → False (It is possible, but no definite conclusion can be drawn.)
III. Some cups are glass → True (As all cups are glasses, so, some cups are glasses is also true.)
Hence, Both conclusions I and III follow.