Question : Directions: Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements
Statements:
All farmers are doctors.
All doctors are magicians.
Conclusions:
I. All farmers are magicians.
II. No farmer is a magician.
Option 1: Only conclusion II follows
Option 2: Both conclusions follow
Option 3: Only conclusion I follows
Option 4: Either conclusion I or II follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All farmers are magicians – From the Venn diagram, the circle of the farmer is completely overlapped by the circle of magicians. Therefore, this conclusion is true.
Conclusion (II):
No farmer is a magician – From the Venn diagram, the circle of the farmer is completely overlapped by the circle of magicians. So, all farmers are magicians is a true conclusion but there is no negative relation between them. Therefore, this conclusion is not true.
So, the only conclusion I follows. Hence, the third option is correct.
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