Two 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:
Some pins are roses.
No rose is a machine.
Conclusions:
I. Some roses are pins.
II. Some pins are not machines.
III. All machines are pins.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Only conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some roses are pins → True (As some pins are roses, so, some roses are pins is also true.)
II. Some pins are not machines → True (As no rose is a machine, and some pins are roses, so, some pins are not machines.)
III. All machines are pins → False (It is possible but no definite conclusion can be drawn.)
Hence, Only conclusions I and II follow.