Which of the following sets is a finite set? (a) A = {x : x ∈ Z and x2 - 5x + 6 = 0} (b) B = {x : x ∈ Z and x2 is even} (c) D = {x : x ∈ Z and x > -10} (d) All of... View Article
If P(A) denotes the power set of A and A is the void set, then what is the number of elements in P{P{P{P(A)}}}? (a) 0 (b) 1 (c) 4 (d) 16 Solution: If set A has n elements then P(A) has 2n elements. Given A is void set. Hence... View Article
Let A = {x| x ≤ 9, x ∈ N}. Let B = {a, b, c} be the subset of A where (a + b + c) is a multiple of 3. What is the largest possible number of subsets like B? (a) 12 (b) 21 (c) 27 (d) 30 Solution: Given A = {x| x ≤ 9, x ∈ N} = {1, 2, 3, 4, 5, 6, 7, 8, 9} Total... View Article
Which of the following is a singleton set? (a) {x : |x| = 5, x ∈ N} (b) {x : |x| = 6, x ∈ Z} (c) {x : x2 + 2x + 1 = 0, x ∈ N} (d) {x : x2 = 7, x ∈N} Solution:... View Article
Let S be a set of all distinct numbers of the form P/Q , where p, q ∈ {1, 2, 3, 4, 5, 6}. What is the cardinality of the set S? (a) 21 (b) 23 (c) 32 (d) 36 Solution: Number of elements taken at a time = 2 i.e. (p & q) Total possible number... View Article
Which of the following is true? (a) a∈ {{a}, b} (b) {b, c} ∈ {a, {b, c}} (c) {a, b} ∈ {a, {b, c}} (d) None of these Solution: Check the given options.... View Article
