Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Engineering Mathematics Mathematical Logic First Order Logic
Consider the statement below.
A person who is radical (R) is electable (E) if he/she is conservative (C), but otherwise is not electable.
Few probable logical assertions of the above sentence are given below.
(A) \(\left( {R \wedge E} \right) \Longleftrightarrow C\)
(B) \(R\; \Rightarrow \left( {E \Leftrightarrow C} \right)\)
(C) \(R \Rightarrow \left( {\left( {C \Rightarrow E} \right)V\;\neg \;E} \right)\)
(D) \(\left( {\neg \;R \vee \neg \;E \vee C} \right) \wedge \left( {\neg \;R \vee \neg \;C \vee E} \right)\;\;\)
Which of the above logical assertions are true?
Choose the correct answer from the options given below:
1
(B) only
2
(C) only
3
(A) and (C) only
4
(B) and (D) only