Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
No door is a window.
No rack is a door.
All cupboards are windows.
Conclusions:
I. Some cupboards are racks.
II. No cupboard is a door.
III. No rack is a window.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Only conclusion II follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some cupboards are racks → False (It is possible but no definite conclusion can be drawn).
II. No cupboard is a door → True (As no door is a window, and all cupboards are windows, so, no cupboard is a door).
III. No rack is a window → False (It is possible but no definite conclusion can be drawn).
Hence, Only conclusion II follows.