#### Chapters

Chapter 2: Rational Numbers

Chapter 3: Fractions (Including Problems)

Chapter 4: Decimal Fractions (Decimals)

Chapter 5: Exponents (Including Laws of Exponents)

Chapter 6: Ratio and Proportion (Including Sharing in a Ratio)

Chapter 7: Unitary Method (Including Time and Work)

Chapter 8: Percent and Percentage

Chapter 9: Profit, Loss and Discount

Chapter 10: Simple Interest

Chapter 11: Fundamental Concepts (Including Fundamental Operations)

Chapter 12: Simple Linear Equations (Including Word Problems)

Chapter 13: Set Concepts (Some Simple Divisions by Vedic Method)

Chapter 14: Lines and Angles (Including Construction of angles)

Chapter 15: Triangles

Chapter 16: Pythagoras Theorem

Chapter 17: Symmetry (Including Reflection and Rotation)

Chapter 18: Recognition of Solids (Representing 3-D in 2-D)

Chapter 19: Congruency: Congruent Triangles

Chapter 20: Mensuration

Chapter 21: Data Handling

Chapter 22: Probability

## Chapter 13: Set Concepts (Some Simple Divisions by Vedic Method)

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 13 Set Concepts (Some Simple Divisions by Vedic Method) Exercise 13 (A)

**Find, whether or not, of the following collection represent a set:**

The collection of good students in your school.

**Find, whether or not, of the following collection represent a set:**

The collection of the numbers between 30 and 45.

**Find, whether or not, of the following collection represent a set:**

The collection of fat-people in your colony.

**Find, whether or not, of the following collection represent a set:**

The collection of interesting books in your school library.

**Find, whether or not, of the following collection represent a set:**

The collection of books in the library and are of your interest.

**State whether true or false of the following statement:**

Set {4, 5, 8} is same as the set {5, 4, 8} and the set {8, 4, 5}

True

False

**State whether true or false of the following statement:**

Sets {a, b, m, n} and {a, a, m, b, n, n) are same.

True

False

**State whether true or false of the following statement:**

Set of letters in the word ‘suchismita’ is {s, u, c, h, i, m, t, a}

True

False

**State whether true or false of the following statement:**

Set of letters in the word ‘MAHMOOD’ is {M, A, H, O, D}.

True

False

Let set A = {6, 8, 10, 12} and set B = {3, 9, 15, 18}.

Insert the symbol ‘ ∈ ’ or ‘ ∉ ’ to make each of the following true: 6 ____ A.

Let set A = {6, 8, 10, 12} and set B = {3, 9, 15, 18}.

Insert the symbol ‘ ∈ ’ or ‘ ∉ ’ to make the following is true: 10 ____ B.

Let set A = {6, 8, 10, 12} and set B = {3, 9, 15, 18}.

Insert the symbol ‘ ∈ ’ or ‘ ∉ ’ to make the following is true: 18 ____ B.

Let set A = {6, 8, 10, 12} and set B = {3, 9, 15, 18}.

Insert the symbol ‘ ∈ ’ or ‘ ∉ ’ to make the following is true: (6 + 3) ____ B.

Let set A = {6, 8, 10, 12} and set B = {3, 9, 15, 18}.

Insert the symbol ‘ ∈ ’ or ‘ ∉ ’ to make the following is true: (15 - 9) ____ B.

Let set A = {6, 8, 10, 12} and set B = {3, 9, 15, 18}.

Insert the symbol ‘ ∈ ’ or ‘ ∉ ’ to make the following is true: 12 ______ A.

Let set A = {6, 8, 10, 12} and set B = {3, 9, 15, 18}.

Insert the symbol ‘ ∈ ’ or ‘ ∉ ’ to make the following is true: (6 + 8) ____A.

Let set A = {6, 8, 10, 12} and set B = {3, 9, 15, 18}.

Insert the symbol ‘ ∈ ’ or ‘ ∉ ’ to make the following is true: 6 and 8 ____ A

**Express the following sets in roster form:**

Set of odd whole numbers between 15 and 27.

**Express the following sets in roster form:**

A = Set of letters in the word “CHITAMBARAM”

**Express the following sets in roster form:**

B = {All even numbers from 15 to 26}

**Express the following sets in roster form:**

P = {x : x is a vowel used in the word ‘ARITHMETIC’}

**Express the following sets in roster form:**

S = {Squares of first eight whole numbers}

**Express the following sets in roster form:**

Set of all integers between 7 and 94; which are divisible by 6.

**Express the following sets in roster form:**

C = {All composite numbers between 2 and 20}

**Express the following sets in roster form:**

D = Set of Prime numbers from 2 to 23.

**Express the following sets in roster form:**

E = Set of natural numbers below 30 which are divisible by 2 or 5.

**Express the following sets in roster form:**

F = Set of factors of 24.

**Express the following sets in roster form:**

G = Set of names of three closed figures in Geometry.

**Express the following sets in roster form:**

H = {x : x eW and x < 10}

**Express the following sets in roster form:**

J = {x: x e N and 2x – 3 ≤17}

**Express the following sets in roster form:**

K = {x : x is an integer and – 3 < x < 5}

**Express the following sets in set- builder notation (form):**

{3, 6, 9, 12, 15}

**Express the following sets in set- builder notation (form):**

{2, 3, 5, 7, 11, 13, ...}

**Express the following sets in set- builder notation (form):**

{1, 4, 9,16, 25, 36}

**Express the following sets in set- builder notation (form):**

{0, 2, 4, 6, 8, 10, 12, …. }

**Express the following sets in set- builder notation (form):**

{Monday, Tuesday, Wednesday}

**Express the following sets in set- builder notation (form):**

{23, 25, 27, 29, … }

**Express the following sets in set- builder notation (form):**

`{1/3, 1/4, 1/5, 1/6, 1/7, 1/8}`

**Express the following sets in set- builder notation (form):**

{42, 49, 56, 63, 70, 77}

Given: A = {x : x is a multiple of 2 and is less than 25}. Write the set in roster form.

Given: B = {x : x is a square of a natural number and is less than 25}. Write the set in roster form.

Given: C = {x : x is a multiple of 3 and is less than 25}. Write the set in roster form.

Given: D = {x: x is a prime number less than 25}. Write the set in roster form.

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 13 Set Concepts (Some Simple Divisions by Vedic Method) Exercise 13 (B)

**Write the cardinal number of the following set:**

A = Set of days in a leap year.

**Write the cardinal number of the following set:**

B = Set of numbers on a clock-face.

**Write the cardinal number of the following set:**

C = {x : x ∈ N and x ≤ 7}

**Write the cardinal number of the following set:**

D = Set of letters in the word “PANIPAT”.

**Write the cardinal number of the following set:**

E = Set of prime numbers between 5 and 15

**Write the cardinal number of the following set:**

F = {x : x ∈ Z and – 2 < x ≤ 5}

**Write the cardinal number of the following set:**

G = {x : x is a perfect square number, x ∈N and x ≤ 30}.

**The set, given below, state whether it is finite set, infinite set or the null set:**

{natural numbers more than 100}

**The set, given below, state whether it is finite set, infinite set or the null set:**

A = {x : x is an integer between 1 and 2}

**The set, given below, state whether it is finite set, infinite set or the null set:**

B = {x : x ∈ W ; x is less than 100}.

**The set, given below, state whether it is finite set, infinite set or the null set:**

Set of mountains in the world.

**The set, given below, state whether it is finite set, infinite set or the null set:**

{multiples of 8}.

**The set, given below, state whether it is finite set, infinite set or the null set:**

{even numbers not divisible by 2}

**The set, given below, state whether it is finite set, infinite set or the null set:**

{squares of natural numbers}.

**The set, given below, state whether it is finite set, infinite set or the null set:**

{coins used in India}

**The set, given below, state whether it is finite set, infinite set or the null set:**

C = {x | x is a prime number between 7 and 10}

**The set, given below, state whether it is finite set, infinite set or the null set:**

Planets of the Solar system

**State, if the following pair of a set, is disjoint:**

{0, 1, 2, 6, 8} and {odd numbers less than 10.

**State, if the following pair of a set, is disjoint:**

{birds} and {tress}

**State, if the following pair of a set, is disjoint:**

{x : x is a fan of cricket} and

{x : x is a fan of football}

**State, if the following pair of a set, is disjoint:**

A = {natural numbers less than 10} and

B = {x : x is a multiple of 5}

**State, if the following pair of a set, is disjoint:**

{people living in Calcutta} and

{people living in West Bengal}.

**State whether the given pair of set is equal or equivalent.**

A = {first four natural numbers} and

B = {first four whole numbers}

**State whether the given pair of set is equal or equivalent.**

A = Set of letters of the word “FOLLOW” and

B = Set of letters of the word “WOLF”.

**State whether the given pair of set is equal or equivalent.**

E = {even natural numbers less than 10} and

O = {odd natural numbers less than 9}

**State whether the given pair of set is equal or equivalent.**

A = {days of the week starting with letter S} and

B = {days of the week starting with letter T}.

**State whether the given pair of set is equal or equivalent.**

M = {multiples of 2 and 3 between 10 and 20} and

N = {multiples of 2 and 5 between 10 and 20}.

**State whether the given pair of set is equal or equivalent.**

P = {prime numbers which divide 70 exactly} and

Q = {prime numbers which divide 105 exactly}

**State whether the given pair of set is equal or equivalent.**

A = {0², 1², 2², 3², 4²} and B = {16, 9,4, 1, 0}.

**State whether the given pair of set is equal or equivalent.**

E = {8, 10, 12, 14, 16} and

F = {even natural numbers between 6 and 18}

**State whether the given pair of set is equal or equivalent.**

A = {letters of the word SUPERSTITION} and

B = {letters of the word JURISDICTION}.

**Examine if the following set is the empty set:**

The set of triangles having three equal sides.

**Examine if the following set is the empty set:**

The set of lions in your class.

**Examine if the following set is the empty set:**

{x + 3 = 2 and x ∈ N}

**Examine if the following set is the empty set:**

P = {x : 3x = 0}

**State true or false of the following statement:**

All examples of the empty set are equal.

True

False

**State true or false of the following statement:**

All examples of the empty set are equivalent.

True

False

**State true or false of the following statement:**

If two sets have the same cardinal number, they are equal sets.

True

False

**State true or false of the following statement:**

If n (A) = n (B) then A and B are equivalent sets

True

False

**State true or false of the following statement:**

If B = {x : x + 4 = 4}, then B is the empty set.

True

False

**State true or false of the following statement:**

The set of all points in a line is a finite set.

True

False

**State true or false of the following statement:**

The set of letters in your Mathematics book is an infinite set.

True

False

**State true or false of the following statement:**

If M = {1, 2, 4, 6} and N = {x : x is a factor of 12} ; then M = N.

True

False

**State true or false of the following statement:**

The set of whole numbers greater than 50 is an infinite set.

True

False

**State true or false of the following statement:**

If A and B are two different infinite sets, then n (A) = n (B).

True

False

Which of the following represent the null set?

φ, {0}, 0, { }, {φ}

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 13 Set Concepts (Some Simple Divisions by Vedic Method) Exercise 13 (C)

**Fill in the blank:**

If each element of set P is also an element of set Q, then P is said to be _____ of Q and Q is said to be of P.

**Fill in the blank:**

Every set is a _____ of itself.

**Fill in the blank:**

The empty set is a ____ of every set.

**Fill in the blank:**

If A is a proper subset of B, then n (A) _____ n (B).

If A = {5, 7, 8, 9}; then B = {5, 8} is a subset of A?

If A = {5, 7, 8, 9}; then C = {0} is a subset of A?

If A = {5, 7, 8, 9}; then D = {7, 9, 10} is a subset of A?

If A = {5, 7, 8, 9}; then E = { } is a subset of A?

If A = {5, 7, 8, 9}; then F = {8, 7, 9, 5} is a subset of A?

If P = {2, 3, 4, 5}; then A = {3, 4} is proper subset of P?

If P = {2, 3, 4, 5}; then B = { } is proper subset of P?

If P = {2, 3, 4, 5}; then C = {23, 45} is proper subset of P?

If P = {2, 3, 4, 5}; then D = {6, 5, 4} is proper subset of P?

If P = {2, 3, 4, 5}; then E = {0} is proper subset of P?

If A = {even numbers less than 12},

B = {2, 4},

C = {1, 2, 3},

D = {2, 6} and E = {4} then

State if the following statement is true:

**B ⊂ A**

If A = {even numbers less than 12},

B = {2, 4},

C = {1, 2, 3},

D = {2, 6} and E = {4} then

State if the following statement is true

**C ⊆ A**

If A = {even numbers less than 12},

B = {2, 4},

C = {1, 2, 3},

D = {2, 6} and E = {4} then

State if the following statement is true:

**D ⊂ C**

If A = {even numbers less than 12},

B = {2, 4},

C = {1, 2, 3},

D = {2, 6} and E = {4} then

State if the following statement is true:

**D ⊄ A**

B = {2, 4},

C = {1, 2, 3},

D = {2, 6} and E = {4} then

State if the following statement is true:

**E ⊇ B**

B = {2, 4},

C = {1, 2, 3},

D = {2, 6} and E = {4} then

State if the following statement is true:

**A ⊇ B ⊇ E**

Given A = {a, c}, B = {p, q, r} and C = Set of digits used to form number 1351. Write the subset of set A.

Given A = {a, c}, B = {p, q, r} and C = Set of digits used to form number 1351. Write the subset of set B.

Given A = {a, c}, B = {p, q, r} and C = Set of digits used to form number 1351. Write the subset of set C.

If A = {p, q, r}, then number of subsets of A = ______.

If B = {5, 4, 6, 8}, then number of proper subsets of B = ____.

If C = {0}, then number of subsets of C = _____.

If M = {x : x ∈ N and x < 3}, then M has _____ proper subsets.

For the universal set {4, 5, 6, 7, 8, 9, 10, 11,12,13} ; find the subset of A = {even numbers}.

Also, find a complement of A.

For the universal set {4, 5, 6, 7, 8, 9, 10, 11,12,13} ; find the subset of B = {odd numbers greater than 8}.

Also, find a complement of B.

For the universal set {4, 5, 6, 7, 8, 9, 10, 11,12,13} ; find the subset of C = {prime numbers}.

Also, find a complement of C.

For the universal set {4, 5, 6, 7, 8, 9, 10, 11,12,13} ; find the subset of D = {even numbers less than 10}.

Also, find a complement of D.

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 13 Set Concepts (Some Simple Divisions by Vedic Method) Exercise 13 (D)

If A = {4, 5, 6, 7, 8} and B = {6, 8, 10, 12}, find: A∪B

If A = {4, 5, 6, 7, 8} and B = {6, 8, 10, 12}, find: A∩B

If A = {4, 5, 6, 7, 8} and B = {6, 8, 10, 12}, find: A - B

If A = {4, 5, 6, 7, 8} and B = {6, 8, 10, 12}, find: B - A

If A = {3, 5, 7, 9, 11} and B = {4, 7, 10}, find: n(A)

If A = {3, 5, 7, 9, 11} and B = {4, 7, 10}, find: n(B)

If A = {3, 5, 7, 9, 11} and B = {4, 7, 10}, find: A∪B and n(A∪B)

If A = {3, 5, 7, 9, 11} and B = {4, 7, 10}, find: A ∩ B and n(A ∩ B)

If A = {2, 4, 6, 8} and B = {3, 6, 9, 12}, find: (A ∩ B) and n(A ∩ B)

If A = {3, 5, 7, 9, 11} and B = {4, 7, 10}, find: (A – B) and n(A – B)

If A = {3, 5, 7, 9, 11} and B = {4, 7, 10}, find: n (B)

If P = {x : x is a factor of 12} and Q = {x: x is a factor of 16}, find : n(P)

If P = {x : x is a factor of 12} and Q = {x: x is a factor of 16}, find : n(Q).

If P = {x : x is a factor of 12} and Q = {x: x is a factor of 16}, find : Q – P and n(Q – P).

M = {x : x is a natural number between 0 and 8) and N = {x : x is a natural number from 5 to 10}. Find: M – N and n(M – N)

M = {x : x is a natural number between 0 and 8) and N = {x : x is a natural number from 5 to 10}. Find: N – M and n (N – M)

If A = {x: x is natural number divisible by 2 and x< 16} and

B = {x:x is a whole number divisible by 3 and x < 18}, find: n(A)

If A = {x: x is natural number divisible by 2 and x< 16} and

B = {x:x is a whole number divisible by 3 and x < 18}, find: n(B).

If A = {x: x is natural number divisible by 2 and x< 16} and

B = {x:x is a whole number divisible by 3 and x < 18}, find: A ∩ B and n (A ∩ B).

If A = {x: x is natural number divisible by 2 and x< 16} and

B = {x:x is a whole number divisible by 3 and x < 18}, find: n(A – B)

Let A and B be two sets such that n(A) = 75, M(B) = 65 and n(A ∩ B) = 45, find: n(A∪ B)

Let A and B be two sets such that n(A) = 75, M(B) = 65 and n(A ∩ B) = 45, find: n(A - B)

Let A and B be two sets such that n(A) = 75, M(B) = 65 and n(A ∩ B) = 45, find: n(B – A)

Let A and B be two sets such that n(A) = 45, n(B) = 38 and n(A ∪B) = 70, find: n (A ∩ B).

Let A and B be two sets such that n(A) = 45, n(B) = 38 and n(A ∪B) = 70, find: n(A - B).

Let A and B be two sets such that n(A) = 45, n(B) = 38 and n(A ∪B) = 70, find: n(B – A)

Let n(A) 30, n(B) = 27 and n(A∪B) = 45, find: n(A ∩ B).

Let n(A) 30, n(B) = 27 and n(A∪B) = 45, find: n(A - B).

Let n(A) = 31, n(B) = 20 and n(A ∩ B) = 6, find: n (A - B).

Let n(A) 30, n(B) = 27 and n(A∪B) = 45, find: n(B - A).

Let n(A) 30, n(B) = 27 and n(A∪B) = 45, find: n(A ∪B)

## Chapter 13: Set Concepts (Some Simple Divisions by Vedic Method)

## Selina solutions for Concise Mathematics Class 7 ICSE chapter 13 - Set Concepts (Some Simple Divisions by Vedic Method)

Selina solutions for Concise Mathematics Class 7 ICSE chapter 13 (Set Concepts (Some Simple Divisions by Vedic Method)) 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 CISCE Concise Mathematics Class 7 ICSE solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Selina textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Concise Mathematics Class 7 ICSE chapter 13 Set Concepts (Some Simple Divisions by Vedic Method) are Concept of Set Concepts, Concept for Revision Idea of Sets, Concept for Universal Sets, Concept for Cardinal Property of Sets.

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