Find the component statements of the following and check whether they are true or not.
$A$ square is a quadrilateral and its four sides are equal.

  • A
    True,True
  • B
    True,False
  • C
    False,True
  • D
    False,False

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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 the truth value of the compound statement $[(p \vee q) \wedge (q \to r) \wedge (\sim r)] \to (p \wedge q)$ is $False$, then the truth values of $p \to q$ and $q \to p$ are respectively......

If two triangles are congruent,then their areas are equal. What is the contrapositive of the inverse of this statement? (Where $p$: Two triangles are congruent,$q$: Their areas are equal)

Write the contrapositive and converse of the following statement:
$x$ is an even number implies that $x$ is divisible by $4.$

The negation of the statement pattern $p \vee (q \rightarrow \sim r)$ is

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