Which of the following quantified statements | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) For any real number $x$,the square $x^2$ is always greater than or equal to $0$ $(x^2 \geq 0)$.Option $A$ is false because for $x=0$,$x^2=0$,which

Vedclass · Accepted Answer

There exists a real number whose square is not positive

Vedclass · Answer

(C) For any real number $x$,the square $x^2$ is always greater than or equal to $0$ $(x^2 \geq 0)$.Option $A$ is false because for $x=0$,$x^2=0$,which is not positive.Option $B$ is false because the square of a real number cannot be negative.Option $C$ is true because there exists a real number $x=0$ such that $x^2=0$,which is not positive.Option $D$ is false because there exist irrational numbers like $\sqrt{2}$.

Which of the following quantified statements is true?

Similar Questions

$p$ and $q$ are two logical statements. If $r: p \rightarrow (\sim p \vee q)$ has truth value false,then the truth values of $p$ and $q$ are respectively:

The negation of $(p \land q) \to ((p \lor r) \to \sim q)$ is equivalent to ...

Show that the statement "For any real numbers $a$ and $b$,$a^{2}=b^{2}$ implies that $a=b$" is not true by giving a counter-example.

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:

Vedclass Test Series

Exam Paper Generator

Online Exam Module