Question : Directions: In the following question below, some statements are followed by some conclusions. Taking the given statements to be true, even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows from the given statements.
Statements:
I. All dogs are bullocks.
II. All bullocks are goats.
Conclusions:
I. All dogs are goats.
II. All goats are dogs.
Option 1: Conclusion I follows
Option 2: Conclusion II follows
Option 3: Neither conclusion I nor conclusion II follows
Option 4: Both conclusion I and conclusion II follow
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Correct Answer: Conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All dogs are goats – From the Venn diagram, we can see that the circle that represents dogs lies completely inside the circle that represents goats. This means that all the dogs are goats. So, this conclusion follows.
Conclusion (II):
All goats are dogs – From the Venn diagram, we can see that the circle of dogs completely lies inside the circle of goats, implying that some goats are dogs. So, this conclusion does not follow.
So, the only conclusion I follows. Hence, the first option is correct.
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