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 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?

Statement linkage: Some doctors are teachers; all teachers are engineers; all engineers are scientists. So the doctors who are teachers are also engineers and scientists.

Conclusion-I: Some scientists are doctors — True. Since some doctors are teachers, and all teachers are engineers and hence scientists, those some doctors are scientists.

Conclusion-II: All engineers are doctors — False. The statements never say all engineers are doctors; only some doctors fall within teachers/engineers.

Conclusion-III: Some engineers are doctors — True. Some doctors are teachers, and all teachers are engineers, so some engineers are doctors.

Hence, both Conclusion-I and Conclusion-III follow.