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

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## Chapter 1: Sets

Practice Set 1.1Practice Set 1.2Practice set 1.2OthersPractice Set 1.3Practice Set 1.4Problem Set 1

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

Practice Set 1.1 | Q 1.1 | Page 3

Write the following set in roster form.

Set of even numbers

Practice Set 1.1 | Q 1.2 | Page 3

Write the following set in roster form.

Set of even prime numbers from 1 to 50

Practice Set 1.1 | Q 1.3 | Page 3

Write the following sets in roster form.

Set of negative integers.

Practice Set 1.1 | Q 1.4 | Page 3

Write the following sets in roster form.

Seven basic sounds of a sargam (sur)

Practice Set 1.1 | Q 2.1 | Page 3

Write the following symbolic statement in words.

4/3 ∈ Q

Practice Set 1.1 | Q 2.2 | Page 3

Write the following symbolic statement in words.

-2 ∉ N

Practice Set 1.1 | Q 2.3 | Page 3

Write the following symbolic statement in words.

P = {p  |  p is an odd number}

Practice Set 1.1 | Q 3 | Page 4

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

Practice Set 1.1 | Q 4.1 | Page 4

Write the following set using listing method.

All months in the indian solar year.

Practice Set 1.1 | Q 4.2 | Page 4

Write the following set using listing method.

Letters in the word ‘COMPLEMENT’.

Practice Set 1.1 | Q 4.3 | Page 4

Write the following set using listing method.

Set of human sensory organs.

Practice Set 1.1 | Q 4.4 | Page 4

Write the following set using listing method.

Set of prime numbers from 1 to 20.

Practice Set 1.1 | Q 4.5 | Page 4

Write the following set using listing method.

Names of continents of the world.

Practice Set 1.1 | Q 5.1 | Page 4

Write the following set using rule method.

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

Practice Set 1.1 | Q 5.2 | Page 4

Write the following set using rule method.

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

Practice Set 1.1 | Q 5.3 | Page 4

Write the following set using rule method.

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

Practice Set 1.1 | Q 5.4 | Page 4

Write the following set using rule method.

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

Practice Set 1.1 | Q 5.5 | Page 4

Write the following sets using rule method.

X = {a, e, t}

### 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]

Practice Set 1.2 | Q 1 | Page 6

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}

Practice set 1.2 | Q 2 | Page 6

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

A = Even prime numbers
B = { x  |  7 x -1 = 13}
Practice Set 1.2 | Q 3.1 | Page 6
Which of the following are empty set ? why ?
A = { a  |  a is a natural number smaller than zero.}
Practice Set 1.2 | Q 3.2 | Page 6

Which of the following is an empty set? why?

B = {x | x2 = 0}

Practice Set 1.2 | Q 3.3 | Page 6

Which of the following are empty set? why?

C = { x | 5 x - 2 = 0, x ∈ N }

Practice Set 1.2 | Q 4.1 | Page 7

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

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

Q 4.2 | Page 7

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

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

Practice Set 1.2 | Q 4.3 | Page 7

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

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

Practice Set 1.2 | Q 4.4 | Page 7

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

Set of people from your village.

Practice Set 1.2 | Q 4.5 | Page 7

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

Set of apparatus in laboratory

Practice Set 1.2 | Q 4.6 | Page 7

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

Set of whole numbers

Practice Set 1.2 | Q 4.7 | Page 7

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

Set of rational number

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

Practice Set 1.3 | Q 1.1 | Page 11
If A = { a , b, c, d, e}, B = { c, d, e, f  }, C = {b, d}, D = { a , e}
then which of the following statement is true or false ?
C  ⊆ B
Practice Set 1.3 | Q 1.2 | Page 11
If A = { a , b, c, d, e}, B = { c, d, e, f  }, C = {b, d}, D = { a , e}
then the following statement is true or false ?
A ⊆ D
Practice Set 1.3 | Q 1.3 | Page 11
If A = { a , b, c, d, e}, B = { c, d, e, f  }, C = {b, d}, D = { a , e}
then the following statement is true or false ?
D ⊆ B
Practice Set 1.3 | Q 1.4 | Page 11
If A = { a , b, c, d, e}, B = { c, d, e, f  }, C = {b, d}, D = { a , e}
then  the following statement is true or false ?
D ⊆ A
Practice Set 1.3 | Q 1.5 | Page 11
If A = { a , b, c, d, e}, B = { c, d, e, f  }, C = {b, d}, D = { a , e}
then the following statement is true or false ?
B ⊆ A
Practice Set 1.3 | Q 1.6 | Page 11
If A = { a , b, c, d, e}, B = { c, d, e, f  }, C = {b, d}, D = { a , e}
then the following statement is true or false ?
C ⊆ A
Practice Set 1.3 | Q 2 | Page 11
Take the set of natural numbers from 1 to 20 as universal set and show set X and  Y using Venn diagram.
1.  X = { x   |   x ∈ N  , and 7 < x < 15}
2.  Y = { y   |   y ∈ N , y is prime number from 1 to 20}
Practice Set 1.3 | Q 3.1 | Page 11
U = {1, 2, 3, 7, 8, 9, 10, 11, 12}
P = {1, 3, 7, 10}
then show the sets U,P and P' by Venn diagram.
Practice Set 1.3 | Q 3.2 | Page 11
U = {1, 2, 3, 7, 8, 9, 10, 11, 12}
P = {1, 3, 7, 10}
then Verify (P')' = P
Practice Set 1.3 | Q 4 | Page 11

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

Practice Set 1.3 | Q 5.1 | Page 11

Write the subset relation between the sets.

P is the set of all residents in Pune.
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.

Practice Set 1.3 | Q 5.2 | Page 11

Which set can be the universal set ?

P is the set of all residents in Pune.
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.
Practice Set 1.3 | Q 6.1 | Page 11

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

Practice Set 1.3 | Q 6.2 | Page 11

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

Practice Set 1.3 | Q 7 | Page 11

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.

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

Practice Set 1.4 | Q 1 | Page 16

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

Practice Set 1.4 | Q 2 | Page 16

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.

Practice Set 1.4 | Q 3 | Page 16

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 ?

Practice Set 1.4 | Q 4 | Page 16

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 ?

Practice Set 1.4 | Q 5 | Page 16

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)'

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

Problem Set 1 | Q 1.1 | Page 16

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}

Problem Set 1 | Q 1.2 | Page 16
P = { x | x is an odd natural number, 1 < x ≤ 5 }.
How to write this set in roster form?
• {1, 3, 5}

• {1, 2, 3, 4, 5}

• {1, 3}

• {3, 5}

Problem Set 1 | Q 1.3 | Page 16

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

•  Null set

• Infinite set

• Finite set

• None of these

Problem Set 1 | Q 1.4 | Page 16

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}

Problem Set 1 | Q 1.5 | Page 16

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

• P

• M

• P ∪ M

• P'∩ M

Problem Set 1 | Q 1.6 | Page 16

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}

Problem Set 1 | Q 2.1 | Page 17

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

Problem Set 1 | Q 2.2 | Page 17
Find the correct option for the given question.
Which of the following set represent N ∩  W ?
• {1, 2, 3, .....}

• {0, 1, 2, 3, ....}

•  {0}

• { }

Problem Set 1 | Q 2.3 | Page 17

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}

Problem Set 1 | Q 2.4 | Page 17

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}

Problem Set 1 | Q 3 | Page 17

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 ?

Problem Set 1 | Q 4 | Page 17

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 ?

Problem Set 1 | Q 5 | Page 17

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

Problem Set 1 | Q 6 | Page 17

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 ?

Problem Set 1 | Q 7.1 | Page 17

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

A ={3, 4, 5, 7}  B ={1, 4, 8}

Problem Set 1 | Q 7.2 | Page 17

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}

Problem Set 1 | Q 7.3 | Page 17

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

X = { x | x is a prime number between 80 and 100}
Y = { y | y is an odd number between 90 and 100}
Problem Set 1 | Q 8 | Page 18

Write the subset relations between the following sets..

X = set of all quadrilaterals.
Y = set of all rhombuses.
S = set of all squares.
T = set of all parallelograms.
V = set of all rectangles.
Problem Set 1 | Q 9 | Page 18

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

Problem Set 1 | Q 10 | Page 18

Observe the Venn diagram and write the given sets
U, A, B, A ∪ B , A ∩ B

Problem Set 1 | Q 11 | Page 18

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

## Chapter 1: Sets

Practice Set 1.1Practice Set 1.2Practice set 1.2OthersPractice Set 1.3Practice Set 1.4Problem Set 1

## 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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