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:
All knives are guns.
Some bullets are knives.
Conclusions:
I. Some guns are bullets.
II. No bullet is a gun.
III. Some guns are knives.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Both conclusions I and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some guns are bullets → True (As all knives are guns, and some bullets are knives, so, some guns are bullets is also true.)
II. No bullet is a gun → False (As statements are positive, so, no negative conclusion can be drawn.)
III. Some guns are knives → True (As all knives are guns, so, some guns are knives is also true.)