Test: Sets- 1
40 Questions MCQ Test Business Mathematics and Logical Reasoning & Statistics | Test: Sets- 1
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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:
2n
where n = no.of elements in a set.
Applying this shortcut in the above set,
n=3
23 = 8
The set {x|0<x<5} represents the set when x may take integral values only
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(P1) 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(Q1) is
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)
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
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.
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.
Let the domain of x be the set {1}. Which of the following functions are equal to 1
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