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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


Team Careers360 8th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

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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