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 output of the following circuit is
DifficultMHT CET 2010
View SolutionConsider the following statements:
$p: 2$ is an even prime number.
$q: \text{If } z_1 = 2 - i, z_2 = -2 + i \text{ where } i = \sqrt{-1}, \text{ then } \operatorname{Im}\left[\frac{1}{z_1 \bar{z}_2}\right] = -\frac{1}{5}$.
$r: \tan(-945^{\circ}) = -1$.
Which of the following has a truth value of True?
$p: 2$ is an even prime number.
$q: \text{If } z_1 = 2 - i, z_2 = -2 + i \text{ where } i = \sqrt{-1}, \text{ then } \operatorname{Im}\left[\frac{1}{z_1 \bar{z}_2}\right] = -\frac{1}{5}$.
$r: \tan(-945^{\circ}) = -1$.
Which of the following has a truth value of True?
Are the following pairs of statements negations of each other:
$1$. The number $x$ is a rational number.
$2$. The number $x$ is an irrational number.
$1$. The number $x$ is a rational number.
$2$. The number $x$ is an irrational number.
Easy
View SolutionThe negation of the statement "The payment will be made if and only if the work is finished in time" is
Consider the following statements:
$P$: $I$ have fever
$Q$: $I$ will take medicine
$R$: $I$ will take rest
The statement "If $I$ have fever,then $I$ will take medicine and $I$ will take rest" is equivalent to:
$P$: $I$ have fever
$Q$: $I$ will take medicine
$R$: $I$ will take rest
The statement "If $I$ have fever,then $I$ will take medicine and $I$ will take rest" is equivalent to:
DifficultJEE MAIN 2023
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