ML Aggarwal Check Your Progress Class 6 ICSE Maths Solutions. We Provide Step by Step Answer of Check Your Progress 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 Check Your Progress 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 Check Your Progress Questions |

Edition | 2023-2024 |

**Sets Check Your Progress**

**ML Aggarwal Class 6 ICSE Maths Solutions**

Page-103

**Question 1. **State which of the given collections are sets:

(i) Collection of all poor people of Dhanbad.

(ii) Collection of all difficult problems in your maths book.

(iii) Collection of all popular cinema actors of India

(iv) Collection of all countries of Asia.

(v) Collection of four countries of Asia.

(vi) Collection of three cities of India whose name start with the letter ‘J’.

(vii) Collection of all people in this world over 50 year of age.

**Answer**

(i) It is not a set because element are not countable.

(ii) It is not a set because problem are different to different student.

(iii) It is not a set.

(iv) It is not a set because countries are countable.

(v) It is not a set because the element are countable but not defined.

(vi) It is not a set because cities are not defined.

(vii) It is a set.

**Sets Check Your Progress**

**ML Aggarwal Class 6 ICSE Maths Solutions**

Page-104

**Question 2 . If A = (3, 5, 7, 9, 11}, then write which of the following statements are true. If a statement is not true, mention why.**

(i) 3 ϵ A

(ii) 5, 9 ϵ A

(iii) 8 ∉ A

(iv) 7 ∉ A

(v) {3} ϵ A

(vi) {5, 9} ϵ A

**Answer:**

(i) 3 ϵ A is true.

(ii) 5, 9 ϵ A it is true because these are element of set.

(iii) 8 ∉ A it is true because 8 is not element of set.

(iv) 7 ∉ A It is false because 7 is element of set.

(v) {3} ϵ A It is false because {3} is different set and not element.

(vi) {5, 9} ϵ A It is false because {5,9} is different set.

**Question 3. Write the following sets in the roster farm :**

(i) A = {x | x is a month of a year having 30 days}

(ii) B = (x | x = 2n, n ϵ W and n < 5}

(iii) C = (x | x ϵ N and x^{2} < 40}

(iv) D = (all letters in the word PERMISSION}

(v) E = (x : x ϵ I and x^{2} < 10}

(vi) F = (x : x ϵ N, 15 < x < 50 and x is divisible by 6}

(vii) the set of whole numbers which are greater than 14 and divisible by 7.

(viii) the set of signs of four fundamental operation of arithmetic.

**Answer:**

(i) A = {April, June, September, November}

(ii) B = {0,2,4,6,8}

(iii) C = {1,2,3,4,5,6}

(iv) D = {P,E,R,M,I,S,O,N}

(v) E = {-3,-2,-1,0,1,2,3}

(vi) F = {18,24,30,36,42,48}

(vii) {21,28,25,42,49,……..

(ix) {x, /, +, -}

**Question 4. **Write the following sets in set builder form :

(i) A = (2, 3, 5, 7, 11, 13, 17, 19}

(ii) B = (all months of a year}

(iii) C = (Monday, Tuesday, Wednesday}

**Answer:**

(i) A = {x | x is a prime number < 20}

(ii) B = {x : x is any month of a year}

(iii) C = {x | x is any of the first three days of a week}

**Question 5. **Write the following sets in roster form and also in set builder form :

(i) A = {even whole numbers which are less than 50}

(ii) B = {two digit numbers which are perfect square}

(iii) The set of letters in the word MUSSOORIE

**Answer:**

(i) A = { 0,2,4,6,8, ………… 48}

A = {x/x ∈ W and x is an even number < 50}

(ii) B = {16,25,36,49,64,81}

B = {x : x is perfect square and two digit number}

(iii) {M,U,S,O,R,I,E }

{x | x is a letter in the word MUSSORIE}

**Question 6. **Classify the following sets as empty set, finite set or infinite set:

(i) The set of all even prime number > 2.

(ii) The set of even prime numbers.

(iii) The set of prime numbers less than one crore.

(iv) {All points on a line segment of length 3cm}.

**Answer**

**(i) Empty set**

**(ii) Finite set**

**(iii) Finite set**

**(iv) Infinite set**

**Question 7. **Find the cardinal number of the following sets.

(i) A = {x | x is a consonant in the word HUNDRED}

(ii) B = {x/x is a vowel in the word DEHRADOON}

(iii) C = {x | x ϵ W and x^{2} < 50}

(iv) D = {x | x ϵ N and x < 1}

(v) E = {x | x is a prime between 8 and 30}

**Answer**

**(i) {HNDR} = 4**

**(ii) {E,A,O} = 3**

**(iii) {0,1,2,3,4,5,6,7} = 8**

**(iv) **** 0**

**(v) {11,13,17 19,23,29} = 6**

— : End of ML Aggarwal Sets Check Your Progress Class 6 ICSE Maths Solutions :–

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