Three statements are given, followed by four conclusions numbered I, II, III, and IV. 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:
Some desks are trays.
Some trays are plates.
Some plates are desks.
Conclusions:
I. All desks are plates.
II. All plates are desks.
III. Some plates are trays.
IV. All trays are desks.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Only conclusion III follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. All desks are plates → False (It is possible, but no definite conclusion can be drawn).
II. All plates are desks → False (It is possible, but no definite conclusion can be drawn).
III. Some plates are trays → True (As some trays are plates, so, some plates are trays).
IV. All trays are desks → False (It is possible, but no definite conclusion can be drawn).