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:
All drums are bells.
All whistles are bells.
Conclusions:
I. Some drums are whistles.
II. Some bells are drums.
III. Some bells are whistles.
Option 1: Both conclusions II and III follow
Option 2: Conclusions I, II and III follow
Option 3: Both conclusions I and II follow
Option 4: Both conclusions I and III follow
Correct Answer: Both conclusions II and III follow
Solution : According to the given statements, the Venn diagram is –
Let's analyse the conclusions –
Conclusion I:
Some drums are whistles – According to the given Venn diagram, there is no direct relation between drums and whistles. Thus, this conclusion does not follow.
Conclusion II:
Some bells are drums – From the Venn diagram, it is evident that the circle representing drums is completely overlapped by the circle representing bells. Thus, it can be concluded that some bells are drums.
Conclusion III:
Some bells are whistles – From the Venn diagram, it is evident that the circle representing whistles is completely overlapped by the circle representing bells. Thus, it can be concluded that some bells are whistles.
So, both conclusions II and III follow. Hence, the first option is correct.
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