Check whether the following sentence is a statement. Give reasons for your answer.
"How far is Chennai from here?"
"How far is Chennai from here?"
(N/A) sentence is considered a statement in logic if it is either true or false,but not both.
The given sentence,"How far is Chennai from here?",is an interrogative sentence (a question).
Furthermore,the word "here" is ambiguous as it depends on the location of the speaker.
Since it cannot be assigned a truth value of either true or false,it is not a statement.
The given sentence,"How far is Chennai from here?",is an interrogative sentence (a question).
Furthermore,the word "here" is ambiguous as it depends on the location of the speaker.
Since it cannot be assigned a truth value of either true or false,it is not a statement.
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The symbolic form of the statement "If it does not rain today or $I$ will not go to school,then $I$ will meet my friend and $I$ will go to watch a movie" is:
$p$: It rains today
$q$: $I$ am going to school
$r$: $I$ will meet my friend
$s$: $I$ will go to watch a movie
$p$: It rains today
$q$: $I$ am going to school
$r$: $I$ will meet my friend
$s$: $I$ will go to watch a movie
The negation of the inverse of the statement $\sim p \lor q$ is...
DifficultMHT CET 2026
View SolutionBy giving a counterexample,show that the following statement is false: "If $n$ is an odd integer,then $n$ is prime."
Easy
View SolutionConsider the following statements:
$r: \text{If } p \to q \text{ is false, then } p \lor q \text{ is false.}$
$s: \text{If } p \leftrightarrow q \text{ is false, then } p \lor q \text{ is false.}$
The truth values of $r \to s$ and $s \to r$ are respectively:
$r: \text{If } p \to q \text{ is false, then } p \lor q \text{ is false.}$
$s: \text{If } p \leftrightarrow q \text{ is false, then } p \lor q \text{ is false.}$
The truth values of $r \to s$ and $s \to r$ are respectively:
DifficultMHT CET 2026
View SolutionShow that the following statement is true by the method of contrapositive.
$p:$ If $x$ is an integer and $x^{2}$ is even,then $x$ is also even.
$p:$ If $x$ is an integer and $x^{2}$ is even,then $x$ is also even.
Medium
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