Statement $\left( {p \wedge q} \right) \to \left( {p \vee q} \right)$ is

  • A

    contradiction

  • B

    tautology

  • C

    neither tautology nor contradiction

  • D

    can't say

Similar Questions

Which of the following pairs are not logically equivalent ?

The statement $p \rightarrow  (q \rightarrow p)$  is equivalent to

  • [AIEEE 2008]

Negation of “Ram is in Class $X$ or Rashmi is in Class $XII$” is

For the statements $p$ and $q$, consider the following compound statements :

$(a)$ $(\sim q \wedge( p \rightarrow q )) \rightarrow \sim p$

$(b)$ $((p \vee q) \wedge \sim p) \rightarrow q$

Then which of the following statements is correct?

  • [JEE MAIN 2021]

If $A$ : Lotuses are Pink and $B$ : The Earth is a planet. Then the
verbal translation of $\left( { \sim A} \right) \vee B$ is