Three Statements followed by three Conclusions are given below. You have to take the Statements to be true…
Three Statements followed by three Conclusions are given below. You have to take the Statements to be true even if they seem to be at variance from the commonly known facts. Read all the Conclusions and then decide which of the given Conclusions logically follows/follow from the Statements, disregarding the commonly known facts:
Statement-1: Some doctors are teachers.
Statement-2: All teachers are engineers.
Statement-3: All engineers are scientists.
Conclusion-I: Some scientists are doctors.
Conclusion-II: All engineers are doctors.
Conclusion-III: Some engineers are doctors.
Which one of the following is correct?
Only Conclusion-I
Only Conclusion-II
Both Conclusion-I and Conclusion-III
Both Conclusion-I and Conclusion-II
Solution
Some doctors are teachers, all teachers are engineers, all engineers are scientists. So some doctors are teachers who are engineers who are scientists: Conclusion I (some scientists are doctors) follows, and Conclusion III (some engineers are doctors) follows. Conclusion II (all engineers are doctors) does not follow. Hence both I and III.