Careers360 -

QnA

Go To Your Study Dashboard

Q.5 List all the elements of the following sets:

(v) E = {x : x is a month of a year not having 31 days}

Q.5 List all the elements of the following sets :

(vi) F = {x : x is a consonant in the English alphabet which precedes k }.

Q.6 Match each of the set on the left in the roster form with the same set on the right described in set-builder form:

(i) {1, 2, 3, 6} (a) {x : x is a prime number and a divisor of 6}

(ii) {2, 3} (b) {x : x is an odd natural number less than 10}

(iii) {M,A,T,H,E,I,C,S} (c) {x : x is natural number and divisor of 6}

(iv) {1, 3, 5, 7, 9} (d) {x : x is a letter of the word MATHEMATICS}.

Q.1 Which of the following are examples of the null set :

(i) Set of odd natural numbers divisible by 2

Q.1 Which of the following are examples of the null set :

(ii) Set of even prime numbers.

Q.1 Which of the following are examples of the null set:

(iii) { x : x is a natural numbers, $x< 5$ and $x> 7$ }

Q.1 Which of the following are examples of the null set :

(iv) { y : y is a point common to any two parallel lines}

Q.2: Which of the following sets are finite or infinite:

(i) The set of months of a year

(ii) {1, 2, 3, . . .}

(iii) {1, 2, 3,... . . 99, 100}

(iv) The set of positive integers greater than 100.

(v) The set of prime numbers less than 99

Q.3 State whether each of the following set is finite or infinite:

(i) The set of lines which are parallel to the x-axis

(ii) The set of letters in the English alphabet

(iii) The set of numbers which are multiple of 5

(iv) The set of animals living on the earth

(v) The set of circles passing through the origin (0,0)

Q.4 In the following, state whether A = B or not:

(i) A = { a, b, c, d } B = { d, c, b, a }

Q.4 In the following, state whether A = B or not:

(ii) A = { 4, 8, 12, 16 } B = { 8, 4, 16, 18}

Q.4 In the following, state whether A = B or not:

(iii) A = {2, 4, 6, 8, 10} B = { x : x is positive even integer and $x \leq 10$ }

Q.4 In the following, state whether A = B or not:

(iv) A = { x : x is a multiple of 10}, B = { 10, 15, 20, 25, 30, . . . }

Q.5 Are the following pair of sets equal ? Give reasons.

(i) A = {2, 3}, B = {x : x is solution of $x^{2}$ + 5x + 6 = 0}

Q.5 Are the following pair of sets equal ? Give reasons.

(ii) A = { x : x is a letter in the word FOLLOW}

B = { y : y is a letter in the word WOLF}

Q.6 From the sets given below, select equal sets :

A = { 2, 4, 8, 12}, B = { 1, 2, 3, 4}, C = { 4, 8, 12, 14}, D = { 3, 1, 4, 2}

E = {–1, 1}, F = { 0, a}, G = {1, –1}, H = { 0, 1}

Q.1 Make correct statements by filling in the symbols $\subset$ or $\not\subset$ in the blank spaces :

(i) { 2, 3, 4 } _____ { 1, 2, 3, 4,5 }

(ii) { a, b, c }______ { b, c, d }

(iii) {x : x is a student of Class XI of your school}______{x : x student of your school}

(iv) {x : x is a circle in the plane} ______{x : x is a circle in the same plane with radius 1 unit}

(v) {x : x is a triangle in a plane} ______ {x : x is a rectangle in the plane}

(vi) {x : x is an equilateral triangle in a plane} ______{x : x is a triangle in the same plane}

(vii) {x : x is an even natural number} _____ {x : x is an integer}

Q.2 Examine whether the following statements are true or false:

(i) { a, b } $\not\subset$ { b, c, a }

(ii) { a, e } $\subset$ { x : x is a vowel in the English alphabet}

(iii) { 1, 2, 3 } $\subset$ { 1, 3, 5 }

(iv) { a } $\subset$ { a, b, c }

(v) { a } $\in$ { a, b, c }

(vi) { x : x is an even natural number less than 6} $\subset$ { x : x is a natural number which divides 36}