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: All fish are tortoise. No tortoise is a crocodile.Conclusions:I. No crocodile is a fish.II. No fish is a crocodile.
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: All fish are tortoise. No tortoise is a crocodile.Conclusions:I. No crocodile is a fish.II. No fish is a crocodile.
Solution
From the given statement, we can infer the following:
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All fish are tortoises: This means that every fish is a tortoise. There is no fish that is not a tortoise.
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No tortoise is a crocodile: This means that there is no overlap between tortoises and crocodiles. No tortoise can be a crocodile and vice versa.
Now, let's examine the conclusions:
I. No crocodile is a fish: Since all fish are tortoises and no tortoise is a crocodile, it logically follows that no crocodile can be a fish. Therefore, conclusion I is valid.
II. No fish is a crocodile: This conclusion is also valid for the same reasons as conclusion I. Since all fish are tortoises and no tortoise is a crocodile, it logically follows that no fish can be a crocodile.
Therefore, both conclusions I and II logically follow from the given statement.
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