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Mathematical Reasoning
medium
વિધાન $( p \rightarrow( q \rightarrow p )) \rightarrow( p \rightarrow( p \vee q ))$ એ
A
હમેશા અસત્ય છે
B
$( p \wedge q ) \vee(\sim q )$ ને સમતુલ્ય છે
C
હમેશા સત્ય છે
D
$( p \vee q ) \wedge(\sim p )$ ને સમતુલ્ય છે
(JEE MAIN-2020)
Solution
$\begin{array}{|c|c|c|c|c|c|c|} \hline p & q & q \rightarrow p & \begin{array}{l} p \rightarrow \\ ( q \rightarrow p ) \end{array} & p \vee q & \begin{array}{l} p \rightarrow \\ p \vee q \end{array} & \begin{array}{l} ( p \rightarrow( q \rightarrow p )) \rightarrow \\ ( p \rightarrow( p \vee q )) \end{array} \\ \hline T & T & T & T & T & T & T \\ \hline T & F & T & T & T & T & T \\ \hline F & T & F & T & T & T & T \\ \hline F & F & T & T & F & T & T \\ \hline \end{array}$
Standard 11
Mathematics
