Choose the most appropriate option or options (a), (b) (c) and (d)
The number of subsets of the set {2, 3, 5} is
The subsets of set are:
{ (),(2),(3),(5),(2,3),(2,5),(3,5),(2,3,5) }
Total eight subsets.
Shortcut to find number of subsets:
2^{n}
where n = no.of elements in a set.
Applying this shortcut in the above set,
n=3
2^{3 }= 8
The number of subsets of a set containing n elements is
The null set is represented by
A = {2, 3, 5, 7} , B { 4, 6, 8, 10} then A ∩ B can be written as
The set {x0<x<5} represents the set when x may take integral values only
The set {0, 2, 4, 6, 8, 10} can be written as
If P = {1, 2, 3, 5, 7}, Q = {1, 3, 6, 10, 15}, Universal Set S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
Q. The cardinal number of P ∩ Q is
Cardinal number means whole number that shows quantity
P ∩ Q = { 1,3}
P ∩ Q i.e. all elements of P that also belong to Q
Cardinal number of P ∩ Q = 2
If P = {1, 2, 3, 5, 7}, Q = {1, 3, 6, 10, 15}, Universal Set S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
Q. The cardinal number of P ∪ Q is
If P = {1, 2, 3, 5, 7}, Q = {1, 3, 6, 10, 15}, Universal Set S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
Q. n(P^{1}) is
If P = {1, 2, 3, 5, 7}, Q = {1, 3, 6, 10, 15}, Universal Set S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
Q. n(Q^{1}) is
The set of cubes of the natural number is
The set {2^{x}x is any positive rational number } is
{1– (–1)^{x}} for all integral x is the set
E is a set of positive even number and O is a set of positive odd numbers, then E ∪ O is a
If R is the set of positive rational number and E is the set of real numbers then
If N is the set of natural numbers and I is the set of positive integers, then
If I is the set of isosceles triangles and E is the set of equilateral triangles, then
Since every equilateral triangle is also an isoceles triangle then E is a subset of I.
If R is the set of isosceles right angled triangles and I is set of isosceles triangles, then
If R is the set of isosceles right angled triangles and l is set of isosceles triangles, then R belongs to l.
(R is a subset of l)
{n(n+1)/2 : n is a positive integer} is
If A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8 } and D = { 7, 8, 9, 10 }; find A ∪ B
A ∪ A is equal to
(A ∪ B)' is equal to
(A ∩ B)' is equal to
A ∪ E is equal to (E is a superset of A)
A ∩ E is equal to
E ∪ E is equal to
A ∩ E' is equal to
If P = {1, 2, 3, 5, 7}, Q = {1, 3, 6, 10, 15}, Universal Set S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
The cardinal number of P ∩ Q is
P = {1, 2, 3, 5, 7}, Q = {1, 3, 6, 10, 15},
P ∩ Q = { 1, 3 }.
The cardinal number is the number of elements of a set.
So The cardinal number of P ∩ Q is 2.
A ∩ A' is equal to
If E = {1, 2, 3, 4, 5, 6, 7, 8, 9}, the subset of E satisfying 5 + x > 10 is
If A∆ B = (A–B) ∪ (B–A) and A = {1, 2, 3, 4}, B = {3,5,7} than A∆B is
If A = {x, y, z}, B = {p, q, r, s} Which of the relation on A.B are function.
{(x,y)x+y = 5} is a
{( x , y)x = 4} is a
{(x , y), y=x^{2}} is
{(x, y)x<y} is
The domain of {(1,7), (2,6)} is
The range of {(3,0), (2,0), (1,0), (0,0)} is
The domain and range of {(x,y) : Y = x^{2}} is
Let the domain of x be the set {1}. Which of the following functions are equal to 1
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