Consider "knights and knaves" puzzles. These logic puzzles take place on an island with two

types of people: the knights, who always tell the truth, and the knaves, who always lie. Now,

write the solutions for the following questions:

(a) On the island of knights and knaves, you are approached by one person. The person

says to you, " I am a Knave or today is the rainy day on the island. (Which type is the speaker,

and is there is a rainy day on the island?)." What are they actually? [4]

(b) Someone asks person A on the island, "Are you a knight?" He replies, "If I am a knight then my sister is also knight." Using logic & truth table prove that A is telling truth. [4]