Negation of the statement: $\sqrt{5}$ is an integer or $5$ is irrational is
- A$\sqrt{5}$ is an integer or $5$ is irrational
- B$\sqrt{5}$ is not an integer and $5$ is not irrational
- C$\sqrt{5}$ is an integer and $5$ is irrational
- D$\sqrt{5}$ is not an integer or $5$ is not irrational
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By giving a counterexample,show that the following statement is not true.
$p:$ If all the angles of a triangle are equal,then the triangle is an obtuse-angled triangle.
$p:$ If all the angles of a triangle are equal,then the triangle is an obtuse-angled triangle.
Medium
View SolutionThe negation of the statement "If India wins the match,then India will reach the final" is:
Consider the following two propositions:
$P_1: \sim( p \rightarrow \sim q )$
$P_2: ( p \wedge \sim q ) \wedge ((\sim p ) \vee q )$
If the proposition $p \rightarrow ((\sim p ) \vee q )$ is evaluated as $FALSE$,then
$P_1: \sim( p \rightarrow \sim q )$
$P_2: ( p \wedge \sim q ) \wedge ((\sim p ) \vee q )$
If the proposition $p \rightarrow ((\sim p ) \vee q )$ is evaluated as $FALSE$,then
If $p$: The total prime numbers between $2$ to $100$ are $26$.
$q$: Zero is a complex number.
$r$: Least common multiple ($L$.$C$.$M$.) of $6$ and $7$ is $6$.
Then which of the following is correct?
$q$: Zero is a complex number.
$r$: Least common multiple ($L$.$C$.$M$.) of $6$ and $7$ is $6$.
Then which of the following is correct?
By giving a counterexample,show that the following statement is false: "If $n$ is an odd integer,then $n$ is prime."
Easy
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