jee-main 2022 Q67

jee-main · India · session2_29jul_shift1 Proof Proof of Equivalence or Logical Relationship Between Conditions
The statement $( p \wedge q ) \Rightarrow ( p \wedge r )$ is equivalent to
(1) $q \Rightarrow ( p \wedge r )$
(2) $p \Rightarrow ( p \wedge r )$
(3) $( p \wedge r ) \Rightarrow ( p \wedge q )$
(4) $( p \wedge q ) \Rightarrow r$
The statement $( p \wedge q ) \Rightarrow ( p \wedge r )$ is equivalent to\\
(1) $q \Rightarrow ( p \wedge r )$\\
(2) $p \Rightarrow ( p \wedge r )$\\
(3) $( p \wedge r ) \Rightarrow ( p \wedge q )$\\
(4) $( p \wedge q ) \Rightarrow r$