Vinod Singh and Shweta Pawar Solutions for Chapter: Mathematical Logic, Exercise 4: Evaluation Test

Statement $1: ~(p\leftrightarrow ~q)$ is equivalent to $p\leftrightarrow q$.

Statement $2: ~(p\leftrightarrow ~q)$ is a tautology.

If $p, q$ are true and $r$ is a false statement, then which of the following is a true statement?

The dual of the statement $~(p\vee q)\wedge \left[p\vee ~(q\wedge ~r)\right]$ is

Consider the following statements:

$P$: Suman is brilliant

$Q$: Suman is rich

$R$: Suman is honest.

The negation of the statement "Suman is brilliant and dishonest iff Suman is rich" can be expressed as

Which of the following is true?

Simplified form of the switching circuit given below is

The inverse of the proposition $(p\wedge ~q)\to r$ is

The negation of the statement  $\forall x\in N, x+1>2$ is