The negation of the statement $q \wedge (\sim p \vee \sim r)$ is:

The dual of the converse of the inverse of the logical statement $p \to (q \to r)$ is equivalent to...

In a switching circuit, if the combination $(S_1 \land S_2)$ is connected in parallel to the combination $(S'_1 \land S'_2)$, then the room is lit only when ...

Which of the following statements is/are not true?
$I$) If $1$ is not a prime number, then $2$ is not a prime number.
$II$) $e$ is a vowel and $12 \times 3 = 36$.
$III$) It is not true that $14$ is a composite number and $3$ is an even number.
$IV$) $\sqrt{5}$ is an irrational number, but $3 + \sqrt{5}$ is a complex number.

If $p:$ Seema is fat. $q:$ She is happy,then the logical equivalent statement of 'If Seema is fat,then she is happy' is

Write the contrapositive and converse of the following statement:
'Something is cold implies that it has low temperature.'