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:
Some mobiles are flat.
All the flats are TVs.
Some TVs are plastic.
Conclusions:
I. Some mobiles are TVs.
II. Some flats are plastic.
III. All plastic are TVs.
Option 1: All conclusions follow
Option 2: Only conclusion I follows
Option 3: Only conclusion III follows
Option 4: Only conclusion II follows
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Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some mobiles are TVs – From the Venn diagram, it is evident that the circles representing mobiles and TVs overlap and have a part of their area in common. So, it can be concluded that some mobiles are TVs.
Conclusion (II):
Some flats are plastic – From the Venn diagram, it is evident that there is no direct relation between flats and plastic. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
Conclusion (III):
All plastic are TVs – From the Venn diagram, it is evident that the circles representing plastic and TVs overlap and have a part of their area in common. So, it can be concluded that some plastic are TVs. So, this conclusion does not follow.
So, the only conclusion I follow. Hence, the second option is correct.
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