Three statements are given followed by three conclusions numbered I, Il and Ill. 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: All engineers are doctors. All doctors are lawyers. No lawyer is a dancer. Conclusions: I. No doctor is a dancer. Il. No engineer is dancer, Ill. Some lawyers are engineers.
Three statements are given followed by three conclusions numbered I, Il and Ill. 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: All engineers are doctors. All doctors are lawyers. No lawyer is a dancer. Conclusions: I. No doctor is a dancer. Il. No engineer is dancer, Ill. Some lawyers are engineers. Correct Answer All of the conclusions follow
The least possible Venn diagram for the given statements is as follow:
[ alt="F1 Madhuri SSC 14.04.2022 D10" src="//storage.googleapis.com/tb-img/production/22/04/F1_Madhuri_SSC_14.04.2022_D10.png" style="width: 290px; height: 139px;">
Conclusions:
I. No Doctor is a Dancer → True (As All doctors are lawyers and No lawyers are dancers. So, no Doctor will be a Dancer.)
II. No Engineer is Dancer → True (As All engineers are doctors and all doctors are lawyers and no lawyer is a dancer. So no engineer is a dancer it is definitely true)
III. Some Lawyers are engineers → True (As All engineers are doctors and all doctors are lawyers. So some part of Lawyer is also Engineer.)
Hence, "All of the conclusions follow" is the correct answer.