Question : Directions: Three 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 birds are crows.
Some crows are parrots.
No crow is a pigeon.
Conclusions:
I. No parrot is a pigeon.
II. Some birds are parrots.
Option 1: Only conclusion I follows
Option 2: Both conclusions I and II follow
Option 3: Neither conclusion I nor II follows
Option 4: Only conclusion II follows
Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions –
Conclusion (I):
No parrot is a pigeon – From the Venn diagram, it is evident that there is no direct relation between parrots and pigeons. So, no definite relation can be drawn. Thus, this conclusion follows.
Conclusion (II):
Some birds are parrots – From the Venn diagram, it is evident that there is no direct relation between parrots and birds. So, no definite relation can be drawn. Thus, this conclusion follows.
So, neither I nor II follows. Hence, the third option is correct.
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