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Previous Year Question (PYQs)

Match List I with List II and choose the correct answer from the code given below.
List I List II
$(a)$ Equivalence $(i)\ p\Rightarrow q$
$(b)$ Contrapositive $(ii)\ p\Rightarrow q : q\Rightarrow p$
$(c)$ Converse $(iii)\ p\Rightarrow q : \sim q\Rightarrow \sim p$
$(d)$ Implication $(iv)\ p\Leftrightarrow q$




Solution

Equivalence is represented by

$p\Leftrightarrow q$

So,

$(a)\rightarrow(iv)$

Contrapositive of $p\Rightarrow q$ is

$\sim q\Rightarrow \sim p$

So,

$(b)\rightarrow(iii)$

Converse of $p\Rightarrow q$ is

$q\Rightarrow p$

So,

$(c)\rightarrow(ii)$

Implication is represented by

$p\Rightarrow q$

So,

$(d)\rightarrow(i)$

Therefore, correct matching is

$(a)-(iv),\ (b)-(iii),\ (c)-(ii),\ (d)-(i)$


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