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:
Some mobiles are tablets.
All tablets are laptops.
Conclusions:
I. Some laptops are mobiles.
II. Some mobiles are laptops.
III. All mobiles are laptops.
Option 1: Only conclusions I and II follow
Option 2: Only conclusions I and III follow
Option 3: All of the conclusions follow
Option 4: Only conclusions II and III follow
Correct Answer: Only conclusions I and II follow
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions –
Conclusion I:
Some laptops are mobiles – From the Venn diagram, it is evident that the circles representing laptops and mobiles overlap and have some parts of their area in common. So, from this, it can be concluded that some laptops are mobiles. Thus, this conclusion follows.
Conclusion II:
Some mobiles are laptops – From the Venn diagram, it is evident that the circles representing mobiles and laptops overlap and have some parts of their area in common. So, from this, it can be concluded that some mobiles are laptops. Thus, this conclusion follows.
Conclusion III:
All mobiles are laptops – From the Venn diagram, it is evident that the circles representing mobiles and laptops overlap and have some parts of their area in common. So, from this, it can be concluded that some mobiles are laptops. Thus, this conclusion does not follow.
So, the only conclusions I and II follow. Hence, the first option is correct.
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