#### Chapters

## Chapter 1: Sets

#### Practice Set 1.1 [Pages 3 - 4]

### Balbharati solutions for Maharashtra state board SSC 9th Standard Maths 1 Algebra Chapter 1 Sets Practice Set 1.1 [Pages 3 - 4]

**Write the following set in roster form.**

Set of even numbers

**Write the following set in roster form.**

Set of even prime numbers from 1 to 50

Write the following sets in roster form.

Set of negative integers.

Write the following sets in roster form.

Seven basic sounds of a sargam (sur)

Write the following symbolic statement in words.

`4/3 ∈ Q`

Write the following symbolic statement in words.

-2 ∉ N

Write the following symbolic statement in words.

P = {p | p is an odd number}

Write any two sets by listing method and by rule method.

**Write the following set using listing method.**

All months in the indian solar year.

Write the following set using listing method.

Letters in the word ‘COMPLEMENT’.

Write the following set using listing method.

Set of human sensory organs.

Write the following set using listing method.

Set of prime numbers from 1 to 20.

Write the following set using listing method.

Names of continents of the world.

Write the following set using rule method.

A = { 1, 4, 9, 16, 25, 36, 49, 64, 81, 100}

Write the following set using rule method.

B = { 6, 12, 18, 24, 30, 36, 42, 48}

Write the following set using rule method.

C = {S, M, I, L, E}

Write the following set using rule method.

D = {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}

Write the following sets using rule method.

X = {a, e, t}

#### Practice Set 1.2, Practice set 1.2 [Pages 6 - 7]

### Balbharati solutions for Maharashtra state board SSC 9th Standard Maths 1 Algebra Chapter 1 Sets Practice Set 1.2, Practice set 1.2 [Pages 6 - 7]

Decide which of the following are equal sets and which are not ? Justify your answer.

A = { x | 3 x -1 = 2}

B = { x | x is a natural number but x is neither prime nor composite}

C = { x | x ∈ N, x < 2}

Decide whether set A and B are equal sets. Give reason for your answer.

Which of the following is an empty set? why?

B = {x | x^{2} = 0}

Which of the following are empty set? why?

C = { x | 5 x - 2 = 0, x ∈ N }

Write with reason, which of the following set are finite or infinite.

A = { x | x < 10, x is a natural number}

Write with reason, which of the following set are finite or infinite.

B = { y | y < -1, y is an integer}

Write with reason, which of the following set are finite or infinite.

C = Set of students of class 9 from your school.

Write with reason, which of the following set are finite or infinite.

Set of people from your village.

Write with reason, which of the following set are finite or infinite.

Set of apparatus in laboratory

Write with reason, which of the following set are finite or infinite.

Set of whole numbers

Write with reason, which of the following set are finite or infinite.

Set of rational number

#### Practice Set 1.3 [Page 11]

### Balbharati solutions for Maharashtra state board SSC 9th Standard Maths 1 Algebra Chapter 1 Sets Practice Set 1.3 [Page 11]

A = {1, 3, 2, 7} then write any three subsets of A.

Write the subset relation between the sets.

P is the set of all residents in Pune.

M is the set of all residents in Madhya Pradesh.

I is the set of all residents in Indore.

B is the set of all residents in India.

H is the set of all residents in Maharashtra.

Which set can be the universal set ?

Which set of numbers could be the universal set for the set given below?

A = set of multiples of 5,

B = set of multiples of 7.

C = set of multiples of 12

Which set of numbers could be the universal set for the set given below?

P = set of integers which are multiples of 4.

T = set of all even square numbers.1

Let all the students of a class is an Universal set. Let set A be the students who secure 50% or more marks in Maths. Then write the complement of set A.

#### Practice Set 1.4 [Page 16]

### Balbharati solutions for Maharashtra state board SSC 9th Standard Maths 1 Algebra Chapter 1 Sets Practice Set 1.4 [Page 16]

If n (A) = 15, n (A ∪ B) = 29, n (A ∩ B) = 7 then n (B) = ?

In a hostel there are 125 students, out of which 80 drink tea, 60 drink coffee and 20 drink tea and coffee both. Find the number of students who do not drink tea or coffee.

In a competitive exam 50 students passed in English. 60 students passed in Mathematics. 40 students passed in both the subjects. None of them fail in both the subjects. Find the number of students who passed at least in one of the subjects ?

A survey was conducted to know the hobby of 220 students of class IX. Out of which 130 students informed about their hobby as rock climbing and 180 students informed about their hobby as sky watching. There are 110 students who follow both the hobbies. Then how many students do not have any of the two hobbies ? How many of them follow the hobby of rock climbing only ? How many students follow the hobby of sky watching only ?

Observe the given Venn diagram and write the following sets.

1) A

2) B

3) A ∪ B

4) U

5) A'

6) B'

7) (A ∪ B)'

#### Problem Set 1 [Pages 16 - 18]

### Balbharati solutions for Maharashtra state board SSC 9th Standard Maths 1 Algebra Chapter 1 Sets Problem Set 1 [Pages 16 - 18]

Choose the correct alternative answer for each of the following question.

If M = {1, 3, 5}, N = {2, 4, 6}, then M ∩ N = ?

{1, 2, 3, 4, 5, 6}

{1, 3, 5}

`phi`

{2, 4, 6}

How to write this set in roster form?

{1, 3, 5}

{1, 2, 3, 4, 5}

{1, 3}

{3, 5}

P = {1, 2, ........., 10}, What type of set P is ?

Null set

Infinite set

Finite set

None of these

M ∪ N = {1, 2, 3, 4, 5, 6} and M = {1, 2, 4} then which of the following represent set N ?

{1, 2, 3}

{3, 4, 5, 6}

{2, 5, 6}

{4, 5, 6}

If P ⊆ M, then Which of the following set represent P ∩ (P ∪ M) ?

P

M

P ∪ M

P'∩ M

Which of the following sets are empty sets ?

set of intersecting points of parallel lines

set of even prime numbers.

Month of an english calendar having less than 30 days.

P = { x | x ∈ I, -1 < x < 1}

Find the correct option for the given question.

Which of the following collections is a set ?

1) Colours of the rainbow

2) Tall trees in the school campus.

3) Rich people in the village

4) Easy examples in the book

{1, 2, 3, .....}

{0, 1, 2, 3, ....}

{0}

{ }

Find the correct option for the given question.

P = { x | x is a letter of the word ' indian'} then which one of the following is set P in listing form ?

{i, n, d}

{i, n, d, a}

{i, n, d, i, a}

{n, d, a}

Find the correct option for the given question.

If T = {1, 2, 3, 4, 5} and M = {3, 4, 7, 8} then T ∪ M = ?

{1, 2, 3, 4, 5, 7}

{1, 2, 3, 7, 8}

{1, 2, 3, 4, 5, 7, 8}

{3, 4}

Out of 100 persons in a group, 72 persons speak English and 43 persons speak French. Each one out of 100 persons speak at least one language. Then how many speak only English ? How many speak only French ? How many of them speak English and French both ?

70 trees were planted by Parth and 90 trees were planted by Pradnya on the occasion of Tree Plantation Week. Out of these; 25 trees were planted by both of them together. How many trees were planted by Parth or Pradnya ?

If n (A) = 20, n (B) = 28 and n (A ∪ B ) = 36 then n (A ∩ B) = ?

In a class, 8 students out of 28 have a dog as their pet animal at home, 6 students have a cat as their pet animal. 10 students have dog and cat both, then how many students do not have a dog or cat as their pet animal at home ?

Represent the union of two sets by Venn diagram for each of the following.

A ={3, 4, 5, 7} B ={1, 4, 8}

Represent the union of two set by Venn diagram for each of the following.

P = {a, b, c, e, f} Q ={l, m, n , e, b}

Represent the union of two set by Venn diagram for each of the following.

Write the subset relations between the following sets..

Y = set of all rhombuses.

T = set of all parallelograms.

If M is any set, then write M ∪ `phi` and M ∩ `phi` .

Observe the Venn diagram and write the given sets

U, A, B, A ∪ B , A ∩ B

If n (A) = 7, n (B) = 13, n (A ∩ B )= 4, then n (A ∪ B)=?

## Chapter 1: Sets

## Balbharati solutions for Maharashtra state board SSC 9th Standard Maths 1 Algebra chapter 1 - Sets

Balbharati solutions for Maharashtra state board SSC 9th Standard Maths 1 Algebra chapter 1 (Sets) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board Maharashtra state board SSC 9th Standard Maths 1 Algebra solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Maharashtra state board SSC 9th Standard Maths 1 Algebra chapter 1 Sets are Concept of Sets, Methods of Writing Sets, Types of Sets, Venn Diagram, Subset, Concept for Universal Sets, Complement of a Set, Operation on Set, Number of Elements in a Set.

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