Ram and Akbar decided to play either cricket or football. But they have to adopt the following conditions. If the day is Sunday, then they can$’$t play cricket or basketball. They can$’$t play cricket when the basketball ground is occupied. Usually, the basketball ground is occupied in Sunday only. Here, formulate the problem using propositional logic and prove that $“$They play cricket or football$”$ using proof by contradiction.

b$.$  Write the logics for the following statements:

i$)“$It$’$s not sunny and it$’$s colder than yesterday$”$

ii$)“$Sonu is hungry and didn$’$t take food$”$

iii$)“$Susanth will go to school only if it is not raining$”$

iv$)“$Mithun will not go to NorthSquare if he didn$’$t bring lunch$”.$