Test: Sets- 1

# Test: Sets- 1

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## 40 Questions MCQ Test Business Mathematics and Logical Reasoning & Statistics | Test: Sets- 1

Test: Sets- 1 for CA Foundation 2023 is part of Business Mathematics and Logical Reasoning & Statistics preparation. The Test: Sets- 1 questions and answers have been prepared according to the CA Foundation exam syllabus.The Test: Sets- 1 MCQs are made for CA Foundation 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Sets- 1 below.
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Test: Sets- 1 - Question 1

### Choose the most appropriate option or options (a), (b) (c) and (d) The number of subsets of the set {2, 3, 5} is

Detailed Solution for Test: Sets- 1 - Question 1

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

2= 8

Test: Sets- 1 - Question 2

### The number of subsets of a set containing n elements is

Test: Sets- 1 - Question 3

### The null set is represented by

Test: Sets- 1 - Question 4

A = {2, 3, 5, 7} , B { 4, 6, 8, 10} then A ∩ B can be written as

Test: Sets- 1 - Question 5

The set {x|0<x<5} represents the set when x may take integral values only

Test: Sets- 1 - Question 6

The set {0, 2, 4, 6, 8, 10} can be written as

Test: Sets- 1 - Question 7

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

Detailed Solution for Test: Sets- 1 - Question 7

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

Test: Sets- 1 - Question 8

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

Test: Sets- 1 - Question 9

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

Test: Sets- 1 - Question 10

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

Test: Sets- 1 - Question 11

The set of cubes of the natural number is

Test: Sets- 1 - Question 12

The set {2x|x is any positive rational number } is

Test: Sets- 1 - Question 13

{1– (–1)x} for all integral x is the set

Test: Sets- 1 - Question 14

E is a set of positive even number and O is a set of positive odd numbers, then E ∪ O is a

Test: Sets- 1 - Question 15

If R is the set of positive rational number and E is the set of real numbers then

Test: Sets- 1 - Question 16

If N is the set of natural numbers and I is the set of positive integers, then

Test: Sets- 1 - Question 17

If I is the set of isosceles triangles and E is the set of equilateral triangles, then

Detailed Solution for Test: Sets- 1 - Question 17

Since every equilateral triangle is also an isoceles triangle then E is a subset of I.

Test: Sets- 1 - Question 18

If R is the set of isosceles right angled triangles and I is set of isosceles triangles, then

Detailed Solution for Test: Sets- 1 - Question 18

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)

Test: Sets- 1 - Question 19

{n(n+1)/2 : n is a positive integer} is

Test: Sets- 1 - Question 20

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

Test: Sets- 1 - Question 21

A ∪ A is equal to

Test: Sets- 1 - Question 22

(A ∪ B)' is equal to

Test: Sets- 1 - Question 23

(A ∩ B)' is equal to

Test: Sets- 1 - Question 24

A ∪ E is equal to (E is a superset of A)

Test: Sets- 1 - Question 25

A ∩ E is equal to

Test: Sets- 1 - Question 26

E ∪ E is equal to

Test: Sets- 1 - Question 27

A ∩ E' is equal to

Test: Sets- 1 - Question 28

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

Detailed Solution for Test: Sets- 1 - Question 28

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.

Test: Sets- 1 - Question 29

A ∩ A' is equal to

Test: Sets- 1 - Question 30

If E = {1, 2, 3, 4, 5, 6, 7, 8, 9}, the subset of E satisfying 5 + x > 10 is

Test: Sets- 1 - Question 31

If A∆ B = (A–B) ∪ (B–A) and A = {1, 2, 3, 4}, B = {3,5,7} than A∆B is

*Multiple options can be correct
Test: Sets- 1 - Question 32

If A = {x, y, z}, B = {p, q, r, s} Which of the relation on A.B are function.

Test: Sets- 1 - Question 33

{(x,y)|x+y = 5} is a

Test: Sets- 1 - Question 34

{( x , y)|x = 4} is a

Test: Sets- 1 - Question 35

{(x , y), y=x2} is

Test: Sets- 1 - Question 36

{(x, y)|x<y} is

Test: Sets- 1 - Question 37

The domain of {(1,7), (2,6)} is

Test: Sets- 1 - Question 38

The range of {(3,0), (2,0), (1,0), (0,0)} is

Test: Sets- 1 - Question 39

The domain and range of {(x,y) : Y = x2} is

Test: Sets- 1 - Question 40

Let the domain of x be the set {1}. Which of the following functions are equal to 1

## Business Mathematics and Logical Reasoning & Statistics

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## Business Mathematics and Logical Reasoning & Statistics

131 videos|149 docs|87 tests