11 Maths - 1 - Sets - Complete Chapter - Test 1 (FREE MCQ Test)

11 Maths – 1 – Sets – Complete Chapter – Test 1 (FREE MCQ Test)

1 / 25

The set of real numbers \( { x : a \leq x \leq b } \) is called a:

Closed interval

Universal set

Infinite set

Open interval

2 / 25

If \( A = { 1, 2, 3 } \), what is \( A \cup \phi \)?

\( { 1, 2 } \)

\( U \)

\( A \)

\( \phi \)

3 / 25

What is the complement of the universal set, \( U’ \)?

\( \phi \)

\( A' \)

\( A \)

\( U \)

4 / 25

What is a set with only one element called?

Power set

Empty set

Singleton set

Universal set

5 / 25

What is the roster form of the solution set of the equation \( x^{2} + x – 2 = 0 \)?

\( { -1, -2 } \)

\( { -1, 2 } \)

\( { 1, -2 } \)

\( { 1, 2 } \)

6 / 25

If \( A \subset B \) and \( A \neq B \), then \( A \) is called a:

Superset

Universal set

Equal set

Proper subset

7 / 25

If \( U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 } \) and \( A = { 1, 3, 5, 7, 9 } \), what is \( A’ \)?

\( { 1, 2, 3, 4, 5 } \)

\( \phi \)

\( { 2, 4, 6, 8, 10 } \)

\( { 1, 3, 5, 7, 9 } \)

8 / 25

The set of letters forming the word ‘SCHOOL’ is represented in roster form as:

\( { S, C, H, O } \)

\( { S, C, H, O, O, L } \)

\( { S, C, H, L } \)

\( { S, C, H, O, L } \)

9 / 25

If \( V = { a, e, i, o, u } \) and \( B = { a, i, k, u } \), find \( V – B \).

\( { k } \)

\( { e, o } \)

\( \phi \)

\( { a, i, u } \)

10 / 25

In set-builder form notation, what does the colon symbol \( : \) stand for?

Therefore

Such that

Implies

The set of all

11 / 25

Two sets \( A \) and \( B \) are called disjoint if:

\( A \cup B = \phi \)

\( A \cap B = \phi \)

\( A = B \)

\( A \subset B \)

12 / 25

Which Greek symbol is used to denote the phrase ‘belongs to’?

\( \subset \)

\( \phi \)

\( \in \)

\( \cup \)

13 / 25

If \( A = { 2, 4, 6, 8 } \) and \( B = { 6, 8, 10, 12 } \), find \( A \cup B \).

\( { 2, 4, 6, 8 } \)

\( { 2, 4, 10, 12 } \)

\( { 6, 8 } \)

\( { 2, 4, 6, 8, 10, 12 } \)

14 / 25

Which of the following is an example of the empty set?

\( { x : x \text{ is an even prime number } } \)

\( { x : x^{2} = 4, x \text{ is even } } \)

\( { x : 1 < x < 2, x \text{ is a natural number } } \)

\( { x : x^{2} = 16, x = 4 } \)

15 / 25

Which of the following is an infinite set?

The set of months of a year

\( { x : x \in N \text{ and } ( x – 1 ) ( x – 2 ) = 0 } \)

The set of all natural numbers \( N \)

The set of prime numbers less than 99

16 / 25

Who is considered the primary developer of the modern theory of sets?

Pythagoras

Georg Cantor

G.H. Hardy

John Venn

17 / 25

If \( A \subset B \), then what is the value of \( A \cup B \)?

\( \phi \)

\( A \)

\( B \)

\( A \cap B \)

18 / 25

How is the set \( { x : x \in R, -4 \leq x \leq 6 } \) represented in interval notation?

\( [ -4, 6 ] \)

\( ( -4, 6 ] \)

\( [ -4, 6 ) \)

\( ( -4, 6 ) \)

19 / 25

How is the set \( A = { 1, 4, 9, 16, 25, \dots } \) represented in set-builder form?

\( { x : x = n^{2}, \text{ where } n \in N } \)

\( { x : x \text{ is a prime number } } \)

\( { x : x = 2n, \text{ where } n \in N } \)

\( { x : x = n + 1, \text{ where } n \in N } \)

20 / 25

A set \( A \) is said to be a subset of a set \( B \) if:

Every element of B is in A

Every element of A is in B

A is an empty set

A and B have no common elements

21 / 25

If \( A = { a, b, c, d } \) and \( B = { d, c, b, a } \), then \( A \) and \( B \) are:

Empty sets

Equal sets

Disjoint sets

Infinite sets

22 / 25

According to De Morgan’s Law, \( ( A \cup B )’ \) is equal to:

\( ( A \cap B )' \)

\( A' \cap B' \)

\( A \cup B \)

\( A' \cup B' \)

23 / 25

The value of \( A \cap A’ \) for any set \( A \) is:

\( \phi \)

\( A \)

\( U \)

\( A' \)

24 / 25

Which of the following is a well-defined collection of objects, thus forming a set?

The collection of vowels in the English alphabet

A collection of most dangerous animals of the world

A team of eleven best cricket batsmen of the world

The collection of most talented writers of India

25 / 25

For any set \( A \), the double complement \( ( A’ )’ \) is equal to:

\( A' \)

\( \phi \)

\( A \)

\( U \)

Your score is

The average score is 24%

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