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 bells are birds.
Some bells are toys.
Conclusions:
I. No bird is a toy.
II. Some toys are birds.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion II follows
Option 3: Only conclusion I follows
Option 4: Both conclusions I and II follow
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions –
Conclusion I:
No bird is a toy – From the Venn diagram, it is evident that the circles representing birds and toys overlap and have some parts of their area in common. Thus, this conclusion does not follow.
Conclusion II:
Some toys are birds – From the Venn diagram, it is evident that the circles representing birds and toys overlap and have some parts of their area in common. Thus, it can be concluded that some toys are birds.
So, the only conclusion II follows. Hence, the
second option
is correct.
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