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:
All teachers are doctors.
Some professors are doctors.
All professors are engineers.
Conclusions:
I. All professors are doctors.
II. Some doctors are engineers.
III. Some teachers are engineers.
IV. Some teachers are professors.
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. All professors are doctors → False (It is possible but no definite conclusion can be drawn).
II. Some doctors are engineers → True (As some professors are doctors, and all professors are engineers, so, we can conclude that some doctors are engineers ).
III. Some teachers are engineers → False (It is possible but no definite conclusion can be drawn).
IV. Some teachers are professors → False (It is possible but no definite conclusion can be drawn).
Hence, Only conclusion II follows.