Question : Directions: 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:
I. All knives are guns.
II. Some bullets are knives.
Conclusions:
I. Some guns are bullets.
II. No bullet is a gun.
III. Some guns are knives.
Option 1: Both conclusions II and III follow
Option 2: Both conclusions I and III follow
Option 3: Conclusions I, II and III follow
Option 4: Both conclusions I and II follow
Correct Answer: Both conclusions I and III follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some guns are bullets – From the Venn diagram, it is evident that the circles representing guns and bullets intersect and have some parts of their area in common. Thus, it can be concluded that some guns are bullets.
Conclusion (II):
No bullet is a gun – From the Venn diagram, there is no negative relation between bullet and gun. Thus, this conclusion doesn't follow.
Conclusion (III):
Some guns are knives – From the Venn diagram, it is evident that some parts of the circle representing guns lie inside the circle representing knives while some lie outside. Thus, it can be concluded that some guns are knives.
So, both conclusions I and III follow. Hence, the second option is correct.
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