1 If R = {(2, 4), (3, 6), (4, 8)}, what is the domain of R? A {2, 3, 4} B {4, 6, 8} C {2, 4, 6, 8} D {6, 8}
2 Which of the following is true for disjoint sets A and B? A A ∩ B = ∅ B A ∪ B = ∅ C A ∩ B = U D A = B
7 Factorize: 8x³ - 27 A (2x - 3)(4x² + 6x + 9) B (2x - 3)(4x² - 6x + 9) C (2x + 3)(4x² - 6x + 9) D (2x + 3)(4x² + 6x + 9)
8 Factorize completely: x² - 6x + 9 - y² A (x - 3 - y)(x - 3 + y) B (x - 3 - y)² C (x + 3 - y)(x + 3 + y) D (x - 3)(x - 3) - y²
9 What is the range of the relation R = {(1, a), (2, b), (3, c)}? A {1, 2, 3} B {a, b, c} C {1, a, 2, b, 3, c} D {a, b}
10 Factorize: x³ - 8 A (x - 2)(x² + 2x + 4) B (x + 2)(x² - 2x + 4) C (x - 2)(x² - 2x + 4) D (x + 2)(x² + 2x + 4)
12 Which of the following is the identity element for union of sets? A Universal set B Empty set C The set itself D No identity exists
14 Simplify: (x + 2)/(x² - 4) × (x - 2)/(x + 1) A 1/(x + 1) B (x - 2)/(x + 1) C (x + 2)/(x + 1) D 1/(x - 1)
20 Which of the following is a relation from set X = {1, 2} to set Y = {a, b}? A {(1, a), (1, b)} B {(1, 1), (2, 2)} C {(a, 1), (b, 2)} D {(1, 2, a)}