Vinod Singh and Shweta Pawar Solutions for Chapter: Mathematical Logic, Exercise 3: Competitive Thinking

The negation of the proposition "If $2$ is prime, then $3$ is odd" is

The negation of the statement: "Getting above $95\%$ marks is necessary condition for Hema to get admission in good college" is

Let $S$ be a non-empty subset of $R$. Consider the following statement:

$p:$ There is a rational number $x\in S$ such that $x>0$. Which of the following statements is the negation of the statement $p$? 

When does the current flow through the following circuit :

The following circuit represent symbolically in logic when the current flow in the circuit.

Which of the symbolic form is correct?

If , then the symbolic form is

Simplified logical expression for the following switching circuit is

Symbolic form of the given switching circuit is equivalent to ______