ML Aggarwal Sets Exe-5.2 Class 6 ICSE Maths Solutions

ML Aggarwal Sets Exe-5.2 Class 6 ICSE Maths Solutions. We Provide Step by Step Answer of  Exe-5.2 Questions for Sets as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-6.

ML Aggarwal Sets Exe-5.2 Class 6 ICSE Maths Solutions

Board ICSE
Publications Avichal Publishig Company (APC)
Subject Maths
Class 6th
Chapter-5 Sets
Writer ML Aggarwal
Book Name Understanding
Topics Solution of Exe-5.2 Questions
Edition 2023-2024

Sets Exe-5.2

ML Aggarwal Class 6 ICSE Maths Solutions

Page-101

Question 1. State whether the following sets into empty, finite and infinite sets. In case of (non-empty) finite sets, mention the cardinal number.

(i) {all colours of a rainbow}
(ii) {x | x is a prime number between 7 and 11}
(iii) {x | x is a digit in the numeral 550131527}
(iv) {x | x is a letter in the word ‘SUFFICIENT’}
(v) {x | x is a vowel in the word MATHEMATICS}
(vi) {x : x is an even whole number and x ≤ 20}
(vii) {x : x ϵ I and -2 ≤ x ≤ 5}
(viii) {x : x is a prime number less than 25}
(ix) {x : x is a prime factor of 180}.
(x) {x : x ϵ N and x is a composite number < 12}

Answer:

(i) Let A = {all colours of rainbow}
A = {Red, Orange, Yellow, Green, Blue, Indigo, Violet}
So, the given set is finite ……. cardinal number = 7

(ii) Let {x|x is a prime number between  7 and  11 }
B = {Φ}
So, the given set is empty

(iii) Let D {x | x is a digit in the numeral 550131527
D = {5, 0, 1, 3, 2, 7}, the given set is finite
So, the cardinal number = 6

(iv) Let E = {x | ax is a letter in the word ‘SUFFICIENT}
E = {S, U, E, I, C, E, N, T}, the given set is finite
So, the cardinal number 8

(v) Let F= {x | x is a vowel in the word MATHEMATICS}
F= {A, E, I}, the given set is finite
So, the cardinal number= 3

(vi) Let F = {x : x is an even whole number and x ≤ 20 }
F = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20} the given set is finite
So, the cardinal number = 11

(vii) {x : x ∈ I and -2 ≤ x ≤ 5}
(-2,-1, 0, 1, 2, 3, 4)
It is a finite set as it has countable element which are 5

(viii) G = {x : x is a prime number less than 25)
G = {2, 3,5, 7, 11, 13, 17, 19, 23}
So, the given set is finite the cardinal number = 9

(ix) H = {x : x is a prime factor of 180)
H = {2, 3,5,}
So, the given set is finite the cardinal number = 3

(x)  {x : x e N is a composite number < 12)
{4,6,8,9,10,}  given set is finite the cardinal number = 5


Sets Exe-5.2

ML Aggarwal Class 6 ICSE Maths Solutions

Page-102

Question 2. State whether the following pairs of sets are equal or not:

(i) A = {2, 4, 6, 8, 10}, B = {even natural numbers}
(ii) A = {3, 5, 7, 9, 11, 13}, B = {odd numbers between 2 and 14}
(iii) A = {PUPPET}, B = {P, U, E, T}
(iv) A = {x | x is a letter in the word SOPHIA}
B = {x | x is a letter in the word MUMTAZ}
(v) A = {kids 5 metres tall}, B = {x : x ϵ N and 2x = 3}.

Answer:

(i) A = {2, 4, 6, 8, 10}

B = {0,2,4,6,8,…………}

So, A ≠ B

(ii) A = {3, 5, 7, 9, 11, 13},

B = {odd numbers between 2 and 14}

B = {3,5,7,9,11,13}

A = B

(iii) A = {PUPPET},

B = {P, U, E, T}

A = B because the element in a set can be repeated or rearranged.

(iv) A = {x | x is a letter in the word SOPHIA}

A = {S,O,P,H,I,A}
B = {x | x is a letter in the word MUMTAZ}

B = {M,U,T,A,Z}

So, A ≠ B

(v) A = {kids 5 metres tall},

A  = {}

A is empty set

B = {x : x ϵ N and 2x = 3}.

B  = {}

B is empty set

So, A = B

Question 3. Given that A = {2, 5, 7, 8, 10}, B = {5, 7, 2, x, 10} and A = B, write the value of x.

Answer:

A = {2, 5, 7, 8, 10},

B = {5, 7, 2, x, 10}

If, A = B

So, x = 8

—  : End of ML Aggarwal Sets Exe-5.2 Class 6 ICSE Maths Solutions :–

Return to   ML Aggarwal Maths Solutions for ICSE Class -6

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