Let $P$ be the statement ' $sin x = 0$ ' and $Q$ be the statement ' $cos x = 1$ '. Which of the following is correct? (Here $x$ is a real number.)

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Let $P$ be the statement ' $x > 3$ ' and $Q$ be the statement ' $x^{2} > 9$ '. Which of the following is correct? (Here $x$ is a real number.)
Let $P$ be the statement ' $n$ is divisible by 3' and $Q$ be the statement ' $n$ is divisible by 6'. Which of the following is correct? (Here…
Let $P$ be the statement ' $x^{2} = 4$ ' and $Q$ be the statement ' $x = 2$ '. Which of the following is correct? (Here $x$ is a real number.)
Let $P$ be the statement ' $ab = 0$ ' and $Q$ be the statement ' $a = 0$ or $b = 0$ '. Which of the following is correct? (Here $a$ and $b$ are…
Let $P$ be the statement ' $x^{2} - 3 x + 2 < 0$ ' and $Q$ be the statement ' $1 < x < 2$ '. Which of the following is correct? (Here $x$ is a real…
Let $P$ be the statement ' $x$ is an integer' and $Q$ be the statement ' $x^{2}$ is an integer'. Which of the following is correct? (Here $x$ is…