If $p$ and $q$ are simple propositions,then $p \Rightarrow q$ is false when

  • A
    $p$ is true and $q$ is true
  • B
    $p$ is false and $q$ is true
  • C
    $p$ is true and $q$ is false
  • D
    Both $p$ and $q$ are false

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The statement $B \Rightarrow ((\sim A) \vee B)$ is equivalent to

What is the dual statement of $p \wedge (\sim p) = c$?

The false statement in the following is

$(p \wedge \sim q) \wedge (\sim p \wedge q)$ is

Consider the following statements:
$P :$ Suman is brilliant
$Q :$ Suman is rich
$R :$ Suman is honest
The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as:

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