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:
All dustbins are plastic items.
No plastic item is stone.
All woods are stones.
Conclusions:
I. No dustbin is wood.
II. No plastic item is wood.
III. Some woods may be dustbins.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Only conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. No dustbin is wood → True (As all dustbins are plastic items, and no plastic item is stone, and all woods are stones, so, no dustbin is wood).
II. No plastic item is wood → True (As no plastic item is stone, and all woods are stones, so, no plastic item is wood).
III. Some woods may be dustbins → False (It is possible but no definite conclusion can be drawn).
Hence, Only conclusions I and II follow.