Q84 / 170 · Manipal (MET) 2019 · Mathematics

Which of the following statement is not tautology?

  • A
    $\sim(p \wedge q) \vee p$
  • B
    $(p \wedge q) \Rightarrow p$
  • C
    $q \vee \sim(p \wedge q)$
  • Correct answer
    D
    $(\sim p \wedge q) \cap(\sim p \vee p)$

Solution

$(\sim p \wedge q) \cap(\sim p \vee p)$ is true.

Hence, the correct answer is option: 'D'.

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