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: C
Explanation
The correct answer is option 3 i.e. All conclusions follow.
The least possible Venn diagram:
Conclusions:
I. Some doctors are teachers → Follow (As, some teachers are scientists and all scientists are doctors. So, some doctors are teachers it is definitely true.)
II. Some engineers are teachers → Follow (As, some teachers are scientists, all scientists are doctors and all doctors are engineers. So, Some engineers are teachers it is definitely true.)
III. Some doctors are scientists → Follow (As, all scientists are doctors. So, some doctors are scientists it is definitely true.)