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 :–
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