UGC NET CSE | December 2018 | Part 2 | Question: 2

Question

​​​​​Match List-I with List-II and choose the correct answer from the code given below :

$\begin{array}{|c|c|c|c|} \hline & \textbf{List I} & & \textbf{List II} \\ \hline (a) & Equivalence & (i) & p \Rightarrow q \\ \hline (b) & Contrapositive & (ii) & p \Rightarrow q; q \Rightarrow p \\ \hline (c ) & Converse & (iii) & p \Rightarrow q: \sim q \Rightarrow \sim p \\ \hline (d) & Implication & (iv) & p \Leftrightarrow q \\ \hline \end{array}$

• A. (a)-(i), (b)-(ii), (c)-(iii), (d)-(iv)
• B. (a)-(ii), (b)-(i), (c)-(iii), (d)-(iv)
• C. (a)-(iii), (b)-(iv), (c)-(ii), (d)-(i)
• D. (a)-(iv), (b)-(iii), (c)-(ii), (d)-(i)

Comments

D )

Answer 1

(a) - (iv)

(b) - (iii)

(c) - (ii)

(d) - (i)

https://en.wikipedia.org/wiki/Converse_(logic)

https://en.wikipedia.org/wiki/Contraposition

https://en.wikipedia.org/wiki/Logical_equivalence

https://en.wikipedia.org/wiki/Implication

Option (d)

Answer 2

$p\rightarrow q$

Equivalence : $p\rightarrow q\,\wedge\,q\rightarrow p $

Contrapositive : $\neg q\rightarrow \neg q$

Converse : $q\rightarrow p$

Implication : $p\rightarrow q$

$D\,)$ must be the answer