Three statements are given followed by three conclusions numbered I, II and III. 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:
Some teachers are scientists.
All scientists are doctors.
All doctors are engineers.
Conclusions:
I. Some doctors are teachers.
II. Some engineers are teachers.
III. Some doctors are scientists.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. All conclusions follow.
The least possible diagram is shown below:
Conclusions:
I. Some doctors are teachers → Follow (This conclusion follows as some teachers are Scientist and all Scientist are doctors, so definitely some doctors are teachers)
II. Some engineers are teachers → Follow (This conclusion also follows as some teachers are Scientist and all Scientist are doctors and all doctors are engineers, so definitely some engineers are teachers.)
III. Some doctors are scientists → Follow (This conclusion also follows as all scientists are doctors so definitely some doctors are scientists.)
Thus, all conclusions follow.
Hence, the correct answer is all conclusions follow.