Question : Directions: Three 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 given statements.
Statements:
Some mice are keyboards.
All keyboards are CPUs.
All mice are webcams.
Conclusions:
I. Some CPUs are mice.
II. Some webcams are keyboards.
III. Some webcams are CPUs.
Option 1: All conclusions follow
Option 2: Only conclusions I and II follow
Option 3: Only conclusions II and III follow
Option 4: Only conclusions I and III follow
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Correct Answer: All conclusions follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some CPUs are mice –
From the Venn diagram, it is evident that the two circles representing CPUs and mice overlap and have a part of their area in common. So, this conclusion follows.
Conclusion (II):
Some webcams are keyboards –
From the Venn diagram, it is evident that the two circles representing webcams and keyboards overlap and have a part of their area in common. So, this conclusion follows.
Conclusion (III):
Some webcams are CPUs –
From the Venn diagram, it is evident that the two circles representing webcams and CPUs overlap and have a part of their area in common. So, this conclusion follows.
So, all conclusions follow. Hence, the first option is correct.
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