1) R is the set of rational numbers. True or false. a) True b) False 2) A= {x: x is a circle in the plane} and B= {x: x is a circle in the same plane with radius 1 unit} Is A a subset of B?  a) Yes b) No 3) Find the pair of equal sets. A = {5}, B = {x: x>15 and x<5}, C = {x: x - 5 = 0}, D = {x2 = 25} a) A and C b) A and B c) A, C and D d) B and D 4) If n(A) =p and n(B) = q, then how many ordered pairs (a, b) are there with a ∈ A and b ∈ B ? a) p2 b) p x q c) p + q d) 2 pq 5) Write (-5,7] in set builder form: a) {x: x ∈ N , -5 < x ≤ 7} b) {x: x ∈ R , -5 < x ≤ 7} c) {x: x ∈ N , -5 ≤ x ≤ 7} d) {x: x ∈ R , -5 ≥ x ≤ 7} 6) If the set of natural numbers is the universal set then what is the compliment of {x: x ∈ N, 2x + 1 > 10} a) {x: x ∈ N, x > 9/2} b) {x: x ∈ N, x ≥ 9/2} c) {x: x ∈ N, x ≤ 9/2} d) {x: x ∈ N, x < 9/2} 7) Fill in the blanks. i) A ∪ A´= ____ ii) ⏀´∩ A=____ iii) A ∩ A´ = ____ iv) U´ ∪ A = _____ a) i) U ii) A´ iii) ⏀ iv) ⏀ b) i) U ii) A iii) ⏀ iv) A c) i) U ii) A iii) A iv) ⏀ d) i) U ii) A´ iii) ⏀ iv) A 8) Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, P = {1, 2, 5}, Q = {6, 7}. Then P ∩ Q’ is : a) P b) Q c) Q’ d) None 9) The cardinality of the power set of {x: x ∈ N, x ≤ 10} is ______. a) 1023 b) 2048 c) 1024 d) 2043 10) If A, B and C are any three sets, then A × (B ∪ C) is equal to: a) (A ∪ B) × (A ∪ C) b) (A × B) ∪ (A × C) c) (A × B) ∩ (A × C) d) None of the above

MATHS QUIZ (CS)

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