# Number Line Prime Class 6 Solutions Chapter 1

## Number Line Prime Class 6 Solutions Chapter 1 Sets

Welcome to NCTB Solutions. Here with this post we are going to help 6th class students for the Solutions of Number Line Prime Class 6 Math Book, Chapter 1, Sets. Here students can easily find step by step solutions of all the problems for Sets, Exercise 1A and 1B Also here our mathematics teacher’s are solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily. Here in this post students will get chapter 1 solutions. Here in this post all the solutions are based on latest Syllabus.

Sets Exercise 1A Solution :

Question no – (1)

Solution :

(a) Colours can be count.

(d) Vowels in alphabet can be counted.

(e) The letters can be put in a set.

Therefore, (a), (d), (e) are well defined set

Question no – (2)

Solution :

E = {X : X = 2n for n ∈ N}

= Set of Even Numbers for all n ∈ N.

{X : X = 2n – 1forn∈ N}

= Set of odd numbers for all n ∈ N.

Question no – (3)

Solution :

(a) Numbers less then 6 = 1, 2, 3, 4, 5

= {1, 2, 3, 4, 5}

(b) The vowels are, a, e, i, o, u

So, {a, e, I, o, u}

(c) The numbers are, 16, 25, 34, 43, 52, 61, 70

So, {16, 25, 34, 43, 52, 61, 70}

(d) The set is = {G, E, O, M, E, T, R, Y}

(e) Vowel are – U, E, A

So, the set = {U, E, A}

(f) February is month of 28 days

So, the set = {February}

(g) The months starts with J are – June, July, January

= {January, June, July}

Question no – (4)

Solution :

(a) A = {x : x = 2n for 1 ≤ n ≤ 5}

(b) B = {x : x = 2n – 1 for 1 ≤ n ≤ 5}

(c) C = {x : x is a multiple of 7}

Sets Exercise 1B Solution :

Question no – (1)

Solution :

(a) Finite [Four season are mentioned]

(b) Infinite [There are infinite even numbers]

(c) Finite [There are only some numbers such like that]

(d) Finite

(e) Finite [There are 7 Countries in SAARC]

(f) Infinite [There are infinite multiples of 2]

Question no – (2)

Solution :

(a) Only one vowel in THRILL

So, is a singleton set.

(b) Singleton set.

(c) There is no number such like that

So it is a empty set.

Question no – (3)

Solution :

(a) n (B) = 7

(b) n (D) = 8

(c) n (A) = 12

(d) n (C) = 1

Question no – (4)

Solution :

(a) Equivalent set [n (A) = n (B) = 4]

(b) Non – equivalent set [n (a) ≠ n (B)

(c) Equivalent set [n (A) = n (B)]

(d) Non – equivalent set [n (A) ≠ n (B)]

(e) Equivalent set [n (A) = n (B) = 8]

Chapter 1 Review Time Solutions :

Multiple Choice Questions :

Question no – (1)

Solution :

Correct option – (c)

A collection of vowels in the English alphabet is the only set.

Question no – (2)

Solution :

Correct option – (b)

A = {x : x is a counting number greater than 9}

Question no – (3)

Solution :

Correct option – (b)

A set is said to be a/an Finite set if it has a limited number of elements.

Question no – (4)

Solution :

Correct option – (c)

A set which contains only one element is called a/an Singleton set.

Question no – (5)

Solution :

(a) P = {0, 1, 2, 3, 4}

Q = {x : x is a whole number less than 5}

= {0, 1, 2, 3, 4}    P ↔ Q

Therefore, (a)

Subjective Questions :

Question no – (1)

Solution :

(a) Is not a set

(b) Set

(c) Not a set

(d) Not a set

Question no – (2)

Solution :

(a) = {x : x is a month of the year having 31 days}

= {Jan, March, May, July, August, October, December}

(b)  = {x : x ∈ N and x ≤ 5}

= {1, 2, 3, 4, 5}

(c) = {letters in the word}

= {C, E, R, T, I, F, A}

Question no – (3)

Solution :

(a) = {x : x is a multiple of 5 ∀ x ≤ 30}

(b) = {x : x is a consonant in the word KNOWLEDGE}

(c) = {x : x is a prime number ∀ x ≤ 23

(d) = {x : x is a integer A – 4< x < + 4}

Question no – (4)

Solution :

(a) Given statement is – True

(b) Given statement is – False

(c) Given statement is – True

(d) Given statement is – False

Question no – (5)

Solution :

(a) Empty : There is no month having more than 31 days

(b) Infinite

(c) Empty : [as 2 is a prime number, so it is empty

(d) Infinite : [There is no limited number]

(e) Finite

Next Chapter Solutions :

Updated: June 22, 2023 — 7:16 am