Question : Directions: Given below are two statements and two conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion(s) follow(s) the given statements
Statements:
All dogs are cats.
Some cats are not dolls.
Conclusions:
I. All dolls are cats.
II. Some cats are dogs.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: Both the conclusions follow
Option 4: Neither conclusion I nor 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 conclusion –
Conclusion (I):
All dolls are cats – From the above diagram, it is evident that there is a negative relation between dolls and cats, i.e., some cats are not dolls. So, this conclusion doesn't follow.
Conclusion (II):
Some cats are dogs – From the Venn diagram, it is evident that some parts of the circle representing cats lie inside the circle representing dogs while some lie outside. Thus, this conclusion follows.
So, only conclusion II follows. Hence, the first option is correct.
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