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 labours.
All the labours are athletes.
Conclusions:
I. Some labours are painters.
II. Some athletes are doctors.
III. All the doctors are athletes.
IV. Some athletes are painters.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. Only conclusion II follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some labours are painters → False (It is possible, but no definite conclusion can be drawn).
II. Some athletes are doctors → True (As all labours are athletes and some doctors are labours, so, some athletes are doctors is also true).
III. All the doctors are athletes → False (It is possible, but no definite conclusion can be drawn).
IV. Some athletes are painters → False (It is possible, but no definite conclusion can be drawn).