In the following question below are given some statements followed by some conclusions based on those statements. 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 the given statements.
Statements:
I. No rat is a cow.
II. Some animals are rats.
Conclusions:
I. Some animals are cows.
II. Some cows are not rats.
Il. All rats are animals.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. Only conclusion II follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some animals are cows → False (As some animals are rats, and no rat is a cow, so, some animals can never be cows)
II. Some cows are not rats → True (As no rat is a cow, some cows are not rats is also true.)
III. All rats are animals → False (It is possible, but no definite conclusion can be drawn.)
Hence, Only conclusion II follows.