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:
No actor is an engineer.
All engineers are magicians.
Conclusions:
I. No magician is an engineer.
II. Some magicians are engineers.
Option 1: Both conclusions follow
Option 2: Either conclusion I or II follows
Option 3: Only conclusion I follows
Option 4: Only conclusion II follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyze the conclusions –
Conclusion (I):
No magician is an engineer – From the Venn diagram, it is evident that some parts of the circle representing magician lie inside the circle representing engineer while some lie outside. Thus, this conclusion does not follow.
Conclusion (II):
Some magicians are engineers – From the Venn diagram, it is evident that some parts of the circle representing magician lie inside the circle representing engineer while some lie outside. Thus, it can be concluded that magicians are engineers.
So, only conclusion II follows. Hence, the fourth option is correct.
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