a) Given the universal set p = {x/x 6 Z+, x $ 40} with A and B are subsets of u . Let A = {x/x is a multiple of 4). B = {x|x is a perfect square). i) Find A \\ B. (2 marks) ii) Show that A - (An B) = An B by using Laws of Set Theory and state the name of laws used. (3 marks) b) A group of 60 students participated in a mathematical quiz comprises of three questions. In the competition, all the student attempted at least one question. There were twenty students who did not attempt the first question. Two students attempted the first question only. Meanwhile, fifteen students failed to attempt the second question. Five students attempted the second and third question only. Ten students attempted the third question only. Finally, nineteen students answered all three questions. i) Draw a Venn diagram to represent the information above. (3 marks) ii) Find the number of students attempted the first and the second questions only. (2 marks) iii) Find the number of students attempted exactly two questions. (2 marks) iv) Find the number of students attempted at most one question. (2 marks)