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 statements.
Statements:
All computers are laptops.
All laptops are mobiles.
Some mobiles are tablets.
Conclusions:
I. Some mobiles are computers.
II. All computers are mobiles.
III. Some computers are tablets.
Option 1: Only conclusions II and III follow
Option 2: Only conclusions I and II follow
Option 3: Only conclusions I and III follow
Option 4: All conclusions follow
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Correct Answer: Only conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
Some mobiles are computers – From the above Venn diagram, we can see that the circle of computers is completely inside the circle of mobile, implying that all computers are mobile and some mobile are computers. Therefore, this conclusion follows.
Conclusion II:
All computers are mobiles – From the above Venn diagram, we can see that the circle of computers is completely inside the circle of mobile. Therefore, this conclusion follows.
Conclusion III:
Some computers are tablets – From the above Venn diagram, we can see that there is no direct relation between tablets and computers. Therefore, this conclusion does not follow.
So, the o nly conclusions I and II follow . Hence, the second option is correct.
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