Class 9 New Syllabus Term 1- Set language Question Paper

	Class 9            Test 1: Set Language                 Marks:25
I.	Answer the following
1.	Let A = {0, 1, 2, 3, 4, 5}. Insert the appropriate symbol ∈ or ∉ in the blank spaces  (i) 0 ----- A (ii) 6 ----- A (iii) 3 ----- A   (iv) 7 ----- A
2.	Write the following sets in Set-Builder form
	a. The set of all odd natural numbers less than 15
	b. The set of all letters in the word ‘computer’
3.	Represent the following sets in descriptive form a.Q = {7,11,13,17,19,23,29} b.R= {x : x ∈ N, x < 5}
4.	Insert the appropriate symbol ⊆ or ⊈ in each blank to make a true statement. a. {10, 20, 30} ____ {10, 20, 30, 40} b. {p, q, r} _____ {w, x, y, z}
5.	Find the cardinal number of the following sets
	a.B = {x : x is a consonant in English Alphabet} b.P = {x : x < 0, x ∈ W} c. S = The set of all leap years between 1882 and 1906.
6.	Find the number of subsets and the number of proper subsets of a set X={a, b, c, x, y, z}.
7.	Write the set of letters of the following words in Roster form a. ASSESSMENT b. PRINCIPAL
8.	Which of the following sets are equivalent or unequal or equal sets? a. A = The set of vowels in the English alphabets. B = The set of all letters in the word “VOWEL” b.G = {x : x is a prime number and 3 < x < 23} H = {x : x is a divisor of 18}
9.	Identify the following sets as null set or singleton set a.B = The set of all even natural numbers which are not divisible by 2 b.The set of all even prime numbers
10.	Write down the power set of D = {p, q, r, s}
11.	a.If n[P(A)] = 256, find n(A). b.If n(A)=0, find n[P(A)].