If $p, q, r$ are simple propositions,then $(p \wedge q) \wedge (q \wedge r)$ is true,then:

  • A
    $p, q, r$ are all false
  • B
    $p, q, r$ are all true
  • C
    $p, q$ are true and $r$ is false
  • D
    $p$ is true and $q$ and $r$ are false

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Similar Questions

Find the component statements of the following compound statement and check whether they are true or false.
$100$ is divisible by $3, 11$ and $5$.

The statement $\sim(p \leftrightarrow \sim q)$ is :

Given the following two statements:
$(S_{1}): (q \vee p) \rightarrow (p \leftrightarrow \sim q)$ is a tautology.
$(S_{2}): \sim q \wedge (\sim p \leftrightarrow q)$ is a fallacy.
Then:

Check whether the following statement is true or not.
If $x, y \in \mathbb{Z}$ are such that $x$ and $y$ are odd,then $xy$ is odd.

Which of the following is not a statement?

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