jee-main 2022 Q67

jee-main · India · session1_25jun_shift1 Not Maths
Consider the following two propositions : $P _ { 1 } : \sim p \rightarrow \sim q$ $P _ { 2 } : p \wedge \sim q \wedge ( \sim p \vee q )$ If the proposition $p \rightarrow ( \sim p \vee q )$ is evaluated as FALSE, then
(1) $P _ { 1 }$ is TRUE and $P _ { 2 }$ is FALSE
(2) $P _ { 1 }$ is FALSE and $P _ { 2 }$ is TRUE
(3) Both $P _ { 1 }$ and $P _ { 2 }$ are FALSE
(4) Both $P _ { 1 }$ and $P _ { 2 }$ are TRUE
Consider the following two propositions :\\
$P _ { 1 } : \sim p \rightarrow \sim q$\\
$P _ { 2 } : p \wedge \sim q \wedge ( \sim p \vee q )$\\
If the proposition $p \rightarrow ( \sim p \vee q )$ is evaluated as FALSE, then\\
(1) $P _ { 1 }$ is TRUE and $P _ { 2 }$ is FALSE\\
(2) $P _ { 1 }$ is FALSE and $P _ { 2 }$ is TRUE\\
(3) Both $P _ { 1 }$ and $P _ { 2 }$ are FALSE\\
(4) Both $P _ { 1 }$ and $P _ { 2 }$ are TRUE