In the question given below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statementStatements: Some dogs are rats. Some rats are horses.Conclusions:I. Some horses are dogs.II. No horse is a rat.
Question
In the question given below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statementStatements: Some dogs are rats. Some rats are horses.Conclusions:I. Some horses are dogs.II. No horse is a rat.
Solution
From the given statement, we can infer the following:
- There is an intersection between dogs and rats, meaning some dogs are also rats.
- There is an intersection between rats and horses, meaning some rats are also horses.
Now, let's examine the conclusions:
I. Some horses are dogs: We cannot definitively conclude this from the given statements. While some rats are dogs and some rats are horses, there is no direct relationship stated between dogs and horses. Therefore, this conclusion does not necessarily follow.
II. No horse is a rat: This conclusion is directly contradicted by the second statement, which says that some rats are horses. Therefore, this conclusion does not follow.
So, neither conclusion I nor conclusion II logically follows beyond a reasonable doubt from the information given in the statement.
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