Question : Directions: Two statements are given followed by two conclusions numbered I and II. 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 vehicles are helicopters.
All helicopters are cars.
Conclusions:
I. All vehicles are cars.
II. Some vehicles are cars.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion II follows
Option 3: Only conclusion I follows
Option 4: Either conclusion I or II follows
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Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All vehicles are cars – From the Venn diagram, it is evident that the circles representing vehicles and cars overlap and have some parts of their area in common. So, it can be concluded that some vehicles are cars. Thus, this conclusion does not follow.
Conclusion (II):
Some vehicles are cars – From the Venn diagram, it is evident that the circles representing vehicles and cars overlap and have some parts of their area in common. So, it can be concluded that some vehicles are cars. Thus, this conclusion follows.
So, only conclusion II follows. Hence, the second option is correct.
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