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
The number of proper subsets of the set {1,2,3} is -----------
8
7
6
5
B - A is defined as
{x/x∈A, x∉B}
{x/x∈B, x∉A}
{x/x∉A, x∉B}
{x/x∈B, x∈A and 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
None of these
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 and B are disjoint,then n(A∪B) is equal to
n(A)
n(B)
n(A) + n(B)
n(A) * n(B)
The number of non - empty subsets of the set {1,2,3,4} is
15
14
16
17
Let n(∪) = 700, n(A) = 200, n(B) = 300 and n(A∩B) = 100 then n(A'∩B' )
400
600
300
200
Which of the following statement is true ?
3 ⊆ {1,3,5}
3 ∈ {1,3,5}
{3} ∈ {1,3,5}
{3,5} ∈ {1,3,5}
Given n(U) = 20, n(A) = 12, n(B) = 9 , n(A∩B) = 4 , where U is the universal set, A and B are subsets of U then n[(A∪B)'] = -------------
9
11
3
