(7) Let A, B and C be sets in some universal set. Which of following is not correct. (a) AUB = AUB. (b) AnA = BOB. (c) Au(BnC) = (AUB) n (AUC). (d) (A - B) U (B- A) = (AUB) - (AnB). (e) AUA = BUB. (8) Let A # @ be a set. Consider the following statements: (1) @ is a symmetric binary relation on A; (2) & is an anti-symmetric binary relation on A; (3) @ is a transitive binary relation on A; Which of the following is correct? (a) Only (1) and (3) are correct. (b) Only (1) and (2) are correct. (c) Only (2) and (3) are correct. (d) None is correct. (e) All are correct. (9) Consider the following statements: (1) If 20 is prime, then fo al de = 5; (2) If 20 is composite, then 1 + 1 = 3; (3) If 20 is prime, then 1+ 1 = 2. Which of the following is correct? (a) Only (1) and (3) are correct. (b) Only (1) and (2) are correct. (c) Only (2) and (3) are correct. (d) None is correct. (e) All are correct. (10) Let f : R - R where f(x) = 2663121212 + 2001. Which of the following is correct? (a) f is not a function. (b) f is a function but is neither injective nor surjective. (c) f is injective but not surjective. (d) f is surjective but not injective. (e) f is injective and surjective