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

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}

State whether true or false of the following statement:

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

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}

State whether true or false of the following statement:

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

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. 

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.

State true or false of the following statement:

All examples of the empty set are equivalent.

State true or false of the following statement:

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

State true or false of the following statement:

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

State true or false of the following statement:

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

State true or false of the following statement:

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

State true or false of the following statement:

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

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.

State true or false of the following statement:

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

State true or false of the following statement:

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

Which of the following represent the null set?

φ, {0}, 0, { }, {φ}

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

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

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

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.

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)