Embibe Experts Solutions for Chapter: Mathematical Logic, Exercise 1: Maharastra Board-2018

Using the truth table, examine whether the following statement pattern is a tautology, a contradiction or a contingency: $(p\vee q)\vee r\leftrightarrow p\vee (q\vee r)$.

Write the negation of the statement if diagonals of a parallelogram are perpendicular, then it is a rhombus. 

Write the negation of the statement mangoes are delicious, but expensive.

Write the negation of the statement a person is rich if and only if he is a software engineer.

Write the truth values of the following statement:

$2$ is a rational number and $\sqrt{2}$ is an irrational number.

Write the truth values of the following statement:

$2+3=5$ or$\sqrt{2}+\sqrt{3}=\sqrt{5}$.

Find the symbolic form of the following switching circuit. Construct its switching table and interpret your result.

Express the following circuit in symbolic form: