Which of the following sentences are statements? Give reasons for your answer.
Mathematics is difficult.
Mathematics is difficult.
(N/A) sentence is considered a statement in logic if it is either true or false,but not both.
This sentence is subjective because the difficulty of mathematics varies from person to person.
Since it cannot be universally classified as true or false,it is not a statement.
This sentence is subjective because the difficulty of mathematics varies from person to person.
Since it cannot be universally classified as true or false,it is not a statement.
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The negation of the contrapositive of the statement pattern $(p \vee \sim q) \rightarrow (p \wedge \sim q)$ is
The negation of the Boolean expression $((\sim q) \wedge p) \Rightarrow ((\sim p) \vee q)$ is logically equivalent to
Let $p$ and $q$ be any two logical statements and $r: p \to (\sim p \vee q)$. If $r$ has a truth value $F$,then the truth values of $p$ and $q$ are respectively
DifficultJEE MAIN 2013
View SolutionWhich of the following statements is a tautology?
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View SolutionFor each of the following statements,determine whether an inclusive "Or" or exclusive "Or" is used. Give reasons for your answer.
Students can take French or Sanskrit as their third language.
Students can take French or Sanskrit as their third language.
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