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 conclusion logically follow(s) from the statements. Statements : (a) Some doctors are soldiers. (b) All managers are soldiers. Conclusions : (i) All doctors are soldiers. (ii) Some soldiers are managers. (iii) All solders are doctors. (iv) Some doctors are managers.
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 conclusion logically follow(s) from the statements. Statements : (a) Some doctors are soldiers. (b) All managers are soldiers. Conclusions : (i) All doctors are soldiers. (ii) Some soldiers are managers. (iii) All solders are doctors. (iv) Some doctors are managers. Correct Answer Only conclusion (ii) follows.
[ alt="SYLL" src="//storage.googleapis.com/tb-img/production/21/12/SYLL.png" style="width: 347px; height: 372px;">
The Venn diagram are given below:-
[ alt="Q4 25 22" src="//storage.googleapis.com/tb-img/production/21/12/Q4_25_22.png" style="width: 410px; height: 171px;">
Conclusions :
(i) All doctors are soldiers → False (Given the statement is some doctors are soldiers then all doctors are soldiers is possible not definitely.)
(ii) Some soldiers are managers → True (Given the statement is all managers are soldiers, so we can also say that some soldiers are managers.)
(iii) All soldiers are doctors → False (Given the statement is some doctors are soldiers then it never be all soldiers are doctors.)
(iv) Some doctors are managers → False (Given the statements are some doctors are soldiers, all managers are soldiers, that means we can not say that some doctors are managers.)
Hence, "option 2" is the correct answer.