List the elements the following sets.
(i) G={all the factors of 20}
(ii) F={multiples of 4 between 17 and 61 which are divisible by 7?
(iii) S={x : x is a letter in the word 'MADAM'"}
(iv) P={x : x is a whole number between 3.5 and 6.7}

List all the elements of the following sets : D = {x : x is a letter in the word “LOYAL”}

List all the elements of the following sets : F = {x : x is a consonant in the English alphabet which precedes k }.

Write the following sets in roster form (i) A={ x : x is a natural number greater than 50 but smaller than 100} B={x : x is an integer, x^(2)=4} (iii) D={x : x is a letter in the word "LOYAL"}

State which of the following sets are empty and which are not? (i) The set of lines passing through a given point. (ii) Set of odd natural numbers divisible by 2. (iii) {x : x is a natural number, x lt 5 and x gt 7} (iv) {x : x is a common point to any two parallel lines} (v) Set of even prime numbers.

State the reasons for the following : (i) {1,2,3.....10} ne {x : x ne N and 1 lt x lt 10} (ii) {2,4,6,8,10} ne {x: x =2n+1 and x ne N} (iii) {5,15,30,45} ne {x : x is a multiple of 15} (iv) {2,3,5,7,9} ne {x : x is a prime number}

Write each of the following in the form of ax + by + c = 0 and find the values of a, b and c (i) 2x = 5 (ii) y - 2 = 0 (iii) y/7=3 (iv) x= (-14)/13

Match the roster form with set builder form. (i) {1,2,3,6} (a) {x : x is prime number and a divisior of 6} (ii) {2,3} (b) {x : x is an odd natural number smaller than 10} (iii) {m,a,t,h,e,I,c,s} (c) {x : x is a natural number and divisor of 6} (iv) {1,3,5,7,9} (d) {x : x is a letter of the word MATHEMATICS}

Express each of the following equations in the form of ax + by + c = 0 and write the values of a, b and c. (i) 3x + 4y = 5 (ii) x - 5 = sqrt3y (iii) 3x = y (iv) x/2+y/2=1/6 (v) 3x - 7 = 0

Find the relation between a and b so that (2x^4 - 7x^3 + ax + b) may be divisible by (x - 3) .

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}.