Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some doctors are painters.
Some doctors are labourers.
All the labourers are athletes.
Conclusions:
I. Some labourers are painters.
II. Some athletes are doctors.
III. All the doctors are athletes.
IV. Some athletes are painters.
Option 1: Only conclusions II and III follow
Option 2: Only conclusion II follows
Option 3: Only conclusion III follows
Option 4: Only conclusions I and II follow
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Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some labourers are painters – According to the Venn diagram there is no definite relation between labourers and painters. Therefore, some labourers are painters is a false conclusion.
Conclusion (II):
Some athletes are doctors – According to the Venn diagram, the circle of athletes and doctors intersects and has some common area between them. Therefore some athletes are doctors is a true conclusion.
Conclusion (III):
All the doctors are athletes – According to the Venn diagram, the circle of doctors and athletes have only some common area between them therefore some doctors are athletes is true but all doctors are athletes is a false conclusion.
Conclusion (IV):
Some athletes are painters – According to the Venn diagram there is no definite relation between athletes and painters, therefore some athletes are painters is a false conclusion.
So, only conclusion II is follows. Hence, the second option is correct.
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