Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A∪B ?
3
6
9
18
Let A and B be two non empty subsets of a set X. Such that A is not a subset of B, then
A is always a subset of the complement of B
B is always a subset of A
A and B are always disjoint
A and the complement of B are always non - disjoint
If A, B, C are three sets, then A∩(B∪C) is equal to
(A∪B) ∩ (A∪C)
(A∩B) ∪ (A∩C)
(A∪B) ∪ (A∪C)
None of these
If A∩B = B then
A ⊂ B
B ⊂ A
A = ∅
B = ∅
If X and y are two sets such that n(x) = 17, n(y) = 23 and n(x∪y) = 38. Then n (x∩y) = ?
40
78
2
The number of non - empty subsets of the set {1,2,3,4} is
15
14
16
17
If the sets A and B are defined as A = {(x,y): y = ex , x∈R} B = { (x,y): y = x, x∈R} then
B⊆A
A⊆B
A∩B = ∅
A∪B = A
Which of the following is a null set ?
{0}
{x:x>0 or x
{x:x2 = 4 or x=3}
{x: x2 + 1 = 0, x∈R}
Let n(∪) = 700, n(A) = 200, n(B) = 300 and n(A∩B) = 100 then n(A'∩B' )
400
600
300
200
If A and B are any two sets, then A∩ (A∪B) is equal to
A
B
Ac
Bc