Three statements are given followed by three conclusions numbered I, II and…
2023
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
- A.
Only conclusions I and II follow
- B.
All conclusions follow
- C.
Only conclusions I and III follow
- D.
Only conclusions II and III follow
Attempted by 2 students.
Show answer & explanation
Correct answer: B
Some teachers are scientists and all scientists are doctors, so some doctors are teachers.
All doctors are engineers, so those teacher-doctors are also engineers; hence some engineers are teachers.
All scientists are doctors directly gives some doctors are scientists.
Therefore all three conclusions follow.