Balbharati solutions for Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board chapter 1 - Sets [Latest edition]

Write the following set in roster form.

Set of even natural numbers

Write the following set in roster form.

Set of even prime numbers from 1 to 50

Write the following set in roster form.

Set of negative integers.

Write the following set 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}

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

1. A = {x | 3x - 1 = 2}
2. B = {x | x is a natural number but x is neither prime nor composite}
3. C = {x | x ∈ N, x < 2}

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

A = Even prime numbers

Which of the following is an empty set? why?

B = {x | x² = 0}

State whether the following statement is an empty set or not? why?

C = {x | 5x - 2 = 0, x ∈ N}

Write with reason, Whether the following set is finite or infinite.

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

Write with reason, whether the following set is finite or infinite.

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

Write with reason, whether the following set is finite or infinite.

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

Write with reason, whether the following set is finite or infinite.

Set of people from your village.

Write with reason, whether the following set is finite or infinite.

Set of apparatus in the laboratory

Write with reason, whether the following set is finite or infinite.

Set of whole numbers

Write with reason, whether the following set is finite or infinite.

Set of the rational number

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

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

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

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

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

Take the set of natural numbers from 1 to 20 as universal set and show set X using Venn diagram.

X = {x | x ∈ N, and 7 < x < 15}

Take the set of natural numbers from 1 to 20 as universal set and show set Y using Venn diagram.

Y = {y | y ∈ N, y is prime number from 1 to 20}

1. show the sets U, P and P' by the Venn diagram.
2. Verify (P')' = P

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

Write the subset relation between the sets.

1. P is the set of all residents in Pune.
2. M is the set of all residents in Madhya Pradesh.
3. I is the set of all residents in Indore.
4. B is the set of all residents in India.
5. H is the set of all residents in Maharashtra.

Which set can be the universal set?

1. P is the set of all residents in Pune. 
2. M is the set of all residents in Madhya Pradesh.
3. I is the set of all residents in Indore.
4. B is the set of all residents in India.
5. H is the set of all residents in Maharashtra.

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

1. A = set of multiples of 5.
2. B = set of multiples of 7.
3. C = set of multiples of 12.

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

1. P = set of integers which are multiples of 4.
2. T = set of all even square numbers.

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.

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)'

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

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

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

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

Which of the following sets are empty sets?

Which of the following collections is a set? 

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

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

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 the following.

A = {3, 4, 5, 7}  B = {1, 4, 8}

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

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

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

Write the subset relations between the following sets.

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) =?