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 tubes are pipes.
All switches are pipes.
All pipes are boards.
Conclusions:
I. All switches are boards.
II. All boards are tubes.
III. Some boards are switches.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Only conclusions I and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. All switches are boards → True (As all switches are pipes, and all pipes are boards, so, all switches are boards is also true.)
II. All boards are tubes → False (It is possible, but no definite conclusion can be drawn.)
III. Some boards are switches → True (As all switches are pipes, and all pipes are boards, so, some boards are switches is also true.)