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

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

Exercise 13 (A)Exercise 13 (B)Exercise 13 (C)Exercise 13 (D)
Exercise 13 (A)

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

Exercise 13 (A) | Q 1.1

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

The collection of good students in your school.

Exercise 13 (A) | Q 1.2

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

The collection of the numbers between 30 and 45.

Exercise 13 (A) | Q 1.3

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

The collection of fat-people in your colony.

Exercise 13 (A) | Q 1.4

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

The collection of interesting books in your school library.

Exercise 13 (A) | Q 1.5

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

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

Exercise 13 (A) | Q 2.1

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

Exercise 13 (A) | Q 2.2

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

Exercise 13 (A) | Q 2.3

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

Exercise 13 (A) | Q 2.4

State whether true or false of the following statement:

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

• True

• False

Exercise 13 (A) | Q 3.1

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.

Exercise 13 (A) | Q 3.2

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.

Exercise 13 (A) | Q 3.3

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.

Exercise 13 (A) | Q 3.4

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.

Exercise 13 (A) | Q 3.5

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.

Exercise 13 (A) | Q 3.6

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.

Exercise 13 (A) | Q 3.7

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.

Exercise 13 (A) | Q 3.8

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

Exercise 13 (A) | Q 4.01

Express the following sets in roster form:

Set of odd whole numbers between 15 and 27.

Exercise 13 (A) | Q 4.02

Express the following sets in roster form:

A = Set of letters in the word “CHITAMBARAM”

Exercise 13 (A) | Q 4.03

Express the following sets in roster form:

B = {All even numbers from 15 to 26}

Exercise 13 (A) | Q 4.04

Express the following sets in roster form:

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

Exercise 13 (A) | Q 4.05

Express the following sets in roster form:

S = {Squares of first eight whole numbers}

Exercise 13 (A) | Q 4.06

Express the following sets in roster form:

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

Exercise 13 (A) | Q 4.07

Express the following sets in roster form:

C = {All composite numbers between 2 and 20}

Exercise 13 (A) | Q 4.08

Express the following sets in roster form:

D = Set of Prime numbers from 2 to 23.

Exercise 13 (A) | Q 4.09

Express the following sets in roster form:

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

Exercise 13 (A) | Q 4.1

Express the following sets in roster form:

F = Set of factors of 24.

Exercise 13 (A) | Q 4.11

Express the following sets in roster form:

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

Exercise 13 (A) | Q 4.12

Express the following sets in roster form:

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

Exercise 13 (A) | Q 4.13

Express the following sets in roster form:

J = {x: x e N and 2x – 3 ≤17}

Exercise 13 (A) | Q 4.14

Express the following sets in roster form:

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

Exercise 13 (A) | Q 5.1

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

{3, 6, 9, 12, 15}

Exercise 13 (A) | Q 5.2

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

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

Exercise 13 (A) | Q 5.3

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

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

Exercise 13 (A) | Q 5.4

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

{0, 2, 4, 6, 8, 10, 12, …. }

Exercise 13 (A) | Q 5.5

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

{Monday, Tuesday, Wednesday}

Exercise 13 (A) | Q 5.6

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

{23, 25, 27, 29, … }

Exercise 13 (A) | Q 5.7

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

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

Exercise 13 (A) | Q 5.8

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

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

Exercise 13 (A) | Q 6.1

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

Exercise 13 (A) | Q 6.2

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

Exercise 13 (A) | Q 6.3

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

Exercise 13 (A) | Q 6.4

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

Exercise 13 (B)

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

Exercise 13 (B) | Q 1.1

Write the cardinal number of the following set:

A = Set of days in a leap year.

Exercise 13 (B) | Q 1.2

Write the cardinal number of the following set:

B = Set of numbers on a clock-face.

Exercise 13 (B) | Q 1.3

Write the cardinal number of the following set:

C = {x : x ∈ N and x ≤ 7}

Exercise 13 (B) | Q 1.4

Write the cardinal number of the following set:

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

Exercise 13 (B) | Q 1.5

Write the cardinal number of the following set:

E = Set of prime numbers between 5 and 15

Exercise 13 (B) | Q 1.6

Write the cardinal number of the following set:

F = {x : x ∈ Z and – 2 < x ≤ 5}

Exercise 13 (B) | Q 1.7

Write the cardinal number of the following set:

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

Exercise 13 (B) | Q 2.01

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

{natural numbers more than 100}

Exercise 13 (B) | Q 2.02

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}

Exercise 13 (B) | Q 2.03

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}.

Exercise 13 (B) | Q 2.04

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

Set of mountains in the world.

Exercise 13 (B) | Q 2.05

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

{multiples of 8}.

Exercise 13 (B) | Q 2.06

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

{even numbers not divisible by 2}

Exercise 13 (B) | Q 2.07

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

{squares of natural numbers}.

Exercise 13 (B) | Q 2.08

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

{coins used in India}

Exercise 13 (B) | Q 2.09

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}

Exercise 13 (B) | Q 2.1

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

Planets of the Solar system

Exercise 13 (B) | Q 3.1

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

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

Exercise 13 (B) | Q 3.2

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

{birds} and {tress}

Exercise 13 (B) | Q 3.3

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}

Exercise 13 (B) | Q 3.4

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}

Exercise 13 (B) | Q 3.5

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

{people living in Calcutta} and

{people living in West Bengal}.

Exercise 13 (B) | Q 4.1

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

A = {first four natural numbers} and
B = {first four whole numbers}

Exercise 13 (B) | Q 4.2

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”.

Exercise 13 (B) | Q 4.3

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}

Exercise 13 (B) | Q 4.4

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}.

Exercise 13 (B) | Q 4.5

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}.

Exercise 13 (B) | Q 4.6

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}

Exercise 13 (B) | Q 4.7

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

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

Exercise 13 (B) | Q 4.8

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}

Exercise 13 (B) | Q 4.9

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

A = {letters of the word SUPERSTITION} and

B = {letters of the word JURISDICTION}.

Exercise 13 (B) | Q 5.1

Examine if the following set is the empty set:

The set of triangles having three equal sides.

Exercise 13 (B) | Q 5.2

Examine if the following set is the empty set:

The set of lions in your class.

Exercise 13 (B) | Q 5.3

Examine if the following set is the empty set:

{x + 3 = 2 and x ∈ N}

Exercise 13 (B) | Q 5.4

Examine if the following set is the empty set:

P = {x : 3x = 0}

Exercise 13 (B) | Q 6.01

State true or false of the following statement:

All examples of the empty set are equal.

• True

• False

Exercise 13 (B) | Q 6.02

State true or false of the following statement:

All examples of the empty set are equivalent.

• True

• False

Exercise 13 (B) | Q 6.03

State true or false of the following statement:

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

• True

• False

Exercise 13 (B) | Q 6.04

State true or false of the following statement:

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

• True

• False

Exercise 13 (B) | Q 6.05

State true or false of the following statement:

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

• True

• False

Exercise 13 (B) | Q 6.06

State true or false of the following statement:

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

• True

• False

Exercise 13 (B) | Q 6.07

State true or false of the following statement:

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

• True

• False

Exercise 13 (B) | Q 6.08

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

Exercise 13 (B) | Q 6.09

State true or false of the following statement:

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

• True

• False

Exercise 13 (B) | Q 6.1

State true or false of the following statement:

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

• True

• False

Exercise 13 (B) | Q 7

Which of the following represent the null set?

φ, {0}, 0, { }, {φ}

Exercise 13 (C)

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

Exercise 13 (C) | Q 1.1

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.

Exercise 13 (C) | Q 1.2

Fill in the blank:

Every set is a _____ of itself.

Exercise 13 (C) | Q 1.3

Fill in the blank:

The empty set is a ____ of every set.

Exercise 13 (C) | Q 1.4

Fill in the blank:

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

Exercise 13 (C) | Q 2.1

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

Exercise 13 (C) | Q 2.2

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

Exercise 13 (C) | Q 2.3

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

Exercise 13 (C) | Q 2.4

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

Exercise 13 (C) | Q 2.5

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

Exercise 13 (C) | Q 3.1

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

Exercise 13 (C) | Q 3.2

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

Exercise 13 (C) | Q 3.3

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

Exercise 13 (C) | Q 3.4

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

Exercise 13 (C) | Q 3.5

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

Exercise 13 (C) | Q 4.1

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

Exercise 13 (C) | Q 4.2

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

Exercise 13 (C) | Q 4.3

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

Exercise 13 (C) | Q 4.4

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

Exercise 13 (C) | Q 4.5

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:

E ⊇ B

Exercise 13 (C) | Q 4.6

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:

A ⊇ B ⊇ E

Exercise 13 (C) | Q 5.1

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

Exercise 13 (C) | Q 5.2

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

Exercise 13 (C) | Q 5.3

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

Exercise 13 (C) | Q 6.1

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

Exercise 13 (C) | Q 6.2

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

Exercise 13 (C) | Q 6.3

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

Exercise 13 (C) | Q 6.4

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

Exercise 13 (C) | Q 7.1

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.

Exercise 13 (C) | Q 7.2

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.

Exercise 13 (C) | Q 7.3

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.

Exercise 13 (C) | Q 7.4

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.

Exercise 13 (D)

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

Exercise 13 (D) | Q 1.1

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

Exercise 13 (D) | Q 1.2

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

Exercise 13 (D) | Q 1.3

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

Exercise 13 (D) | Q 1.4

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

Exercise 13 (D) | Q 2.1

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

Exercise 13 (D) | Q 2.2

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

Exercise 13 (D) | Q 2.3

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

Exercise 13 (D) | Q 2.4

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

Exercise 13 (D) | Q 3.1

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

Exercise 13 (D) | Q 3.2

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

Exercise 13 (D) | Q 3.3

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

Exercise 13 (D) | Q 4.1

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

Exercise 13 (D) | Q 4.2

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

Exercise 13 (D) | Q 4.3

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).

Exercise 13 (D) | Q 5.1

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)

Exercise 13 (D) | Q 5.2

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)

Exercise 13 (D) | Q 6.1

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)

Exercise 13 (D) | Q 6.2

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).

Exercise 13 (D) | Q 6.3

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).

Exercise 13 (D) | Q 6.4

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)

Exercise 13 (D) | Q 7.1

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

Exercise 13 (D) | Q 7.2

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

Exercise 13 (D) | Q 7.3

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

Exercise 13 (D) | Q 8.1

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

Exercise 13 (D) | Q 8.2

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

Exercise 13 (D) | Q 8.3

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

Exercise 13 (D) | Q 9.1

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

Exercise 13 (D) | Q 9.2

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

Exercise 13 (D) | Q 10.1

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

Exercise 13 (D) | Q 10.2

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

Exercise 13 (D) | Q 10.3

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)

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

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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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