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Find the component statements of the following compound statement and check whether they are true or false.
Number $3$ is prime or it is odd.

Let the operations $*, \odot \in \{\wedge, \vee\}$. If $(p * q) \odot (p \odot \sim q)$ is a tautology,then the ordered pair $(*, \odot)$ is:

The logical statement $(p$ $\Rightarrow q) \wedge (q$ $\Rightarrow \sim p)$ is equivalent to

The negation of the statement "For every real number $x$,$x^2+5$ is positive" is

The negation of the statement "The triangle is an equilateral or isosceles triangle and the triangle is not isosceles and it is right angled" is

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