Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All doctors are girls. All girls are honest. Conclusions:I. All doctors are honest.II. Some honest are doctors.
- ABoth conclusions I and II follow
- BOnly conclusion I follows
- CNeither conclusion I nor II follows
- DOnly conclusion II follows
Solution & Step-by-step Explanation
Based on the given statements, we can establish the following relationships: "All doctors are girls" means the set of Doctors is entirely contained within the set of Girls."All girls are honest" means the set of Girls is entirely contained within the set of Honest people.Therefore, the set of Doctors is also entirely contained within the set of Honest people.Conclusion I: "All doctors are honest" - This is true since the doctor circle is completely inside the honest circle. Thus, conclusion I follows.Conclusion II: "Some honest are doctors" - Since all doctors are honest, the part of the honest circle occupied by doctors represents honest people who are doctors. Thus, conclusion II also follows.