0 votes 0 votes closed with the note: Only option A is correct More than one option can be correct Mathematical Logic iiith-pgee propositional-logic + – Akhilesh Singla asked Apr 15, 2018 • closed Apr 15, 2018 by Akhilesh Singla Akhilesh Singla 3.2k views comment Share Follow See all 9 Comments See all 9 9 Comments reply Mk Utkarsh commented Apr 15, 2018 reply Follow Share can you be specific which ones you think are correct? 0 votes 0 votes Akhilesh Singla commented Apr 15, 2018 reply Follow Share My analysis: According to me given statement in p->q is: p: you know rules And not overconfident q: you win This is because they have used q if p. Now, contrapositive of p->q is ~q->~p Lets say the new statement is a->b where, a=(~q)=you lose and, b=(~p)=you don't know the rules or overconfident So we need a->b in the option. I think Only option A satisfies this. Other options are using 'a' for rules & confident part. 0 votes 0 votes Mk Utkarsh commented Apr 15, 2018 reply Follow Share P be "you know the rules" Q be "you are overconfident" R be "you win the game" $P \wedge \overline{Q} \rightarrow R$ contrapositive, $\overline{R} \rightarrow \overline{P} \ \vee Q $ now try 0 votes 0 votes Akhilesh Singla commented Apr 15, 2018 reply Follow Share Still getting only option A as correct. 0 votes 0 votes Mk Utkarsh commented Apr 15, 2018 reply Follow Share yes, i thought you are saying more than one options are correct. :p 0 votes 0 votes Akhilesh Singla commented Apr 15, 2018 reply Follow Share Oh :) I just mentioned it because PGEE can have multiple options correct and I was unclear if my answer, only A, is correct or wrong. 0 votes 0 votes Soumya29 commented Apr 15, 2018 reply Follow Share .@Akhilesh. I too think that only A is correct.because in the question, the word Contrapositive is there 1 votes 1 votes Mk Utkarsh commented Apr 15, 2018 reply Follow Share Only A is correct. 1 votes 1 votes kunal goswami commented Feb 4, 2019 reply Follow Share I donot know the answer. If have a shot then option(C) But i think logic is not in Pgee syllabus 0 votes 0 votes Please log in or register to add a comment.