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:
All pens are cars.
Some cars are bulbs.
Conclusions:
I. Some cars are not bulbs.
II. Some pens being bulbs is a possibility.
Option 1: Both conclusions I and II follow
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
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):
Some cars are not bulbs –
It is a possibility that the circle representing cars is not completely overlapped by the circle representing bulbs. But this is not definite. Thus, this conclusion does not follow.
Conclusion (II):
Some pens being bulbs is a possibility –
It is a possibility that the circles representing pens and bulbs overlap. But this is not definite. Thus, this conclusion follows.
So, the only conclusion II follows. Hence, the fourth option is correct.
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