12) There are 100 families in a society, 40 families buy newspapers A, 30 families buy newspapers B, 30 families buy newspapers C, 1 families buy newspaper A and B , 8 families buy newspaper A and C. 3 families buy newspaper A,B and C, then the number of families who do not buy and newspaper is

13) In a survey of 200 students of a school, it was found that 120 study Mathematics, 90 study Physics, and 70 study Chemistry, 40 study mathematics and Physics, 30 study Physics and Chemistry, 50 study Chemistry and mathematics and 20 none of these subjects. The number of students who study all the three subjects is

15) From 50Students taking examinations in mathematics, Physics, and Chemistry, each of the student has passed in atleast6 one of the subject, 37 passed mathematics, 24 passed in Physics, and 43 in Chemistry. Atmost 19 passed mathematics and Physics, atmost 29 mathematics and Chemistry and atmost 20 Physics and Chemistry. The largest possible number that could have passed all three examination is

16) In a group of 50 students studying French, English, Sanskrit were found to be as follows

French = 17, English = 13, Sanskrit = 15

French and English = 09, English and Sanskrit = 4

French and Sanskrit = 5, English, French and Sanskrit = 3. The number of students who study

28) Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)} be a relation on the set A = {3, 6, 9, 12}. The relation is

61) Let X={1,2,3,4,5} and Y={1,3,5,7,9}. which of the following is / are relation from X to Y

83) If, A={1,2,3} and consider the relation R = {(1,1),(2,2), (3,3), (1,2),(2,3), (1,3)}

84) Let R={(3,3),(6,6),(9,9),(12,12), (6,12),(3,9),(3,12),(3,6)} be a relation on the set A ={3,6,9,12}. The relation is

85) Let R ={1,3),(4,2),(2,4),(2,3),(3,1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is

89) Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)} be a relation on the set A = {3, 6, 9, 12}. The relation is

90) Let X={1,2,3,4,5} and Y={1,3,5,7,9}. which of the following is / are relation from X to Y

112) If, A={1,2,3} and consider the relation R = {(1,1),(2,2), (3,3), (1,2),(2,3), (1,3)}

113) Let R={(3,3),(6,6),(9,9),(12,12), (6,12),(3,9),(3,12),(3,6)} be a relation on the set A ={3,6,9,12}. The relation is

114) Let R ={1,3),(4,2),(2,4),(2,3),(3,1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is

125) Let A = {a, b, c} and R = {(a, a), (b, b), (a, b), (b, a), (b, c)} be a relation on A, then R is

126) Let X = {1, 2, 3} and R = {(1, 1), (2, 2), (3, 3), (2, 3)} be a relation on X. Then which one is not true

127) Let A = {2, 4, 6, 8} and define R = {(2, 4), (4, 2), (4, 6), (6, 4)} then R is

156) Let, R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the set A = {(1, 2, 3, 4)}. Then the relation R is

181) In a class of 55 students, the number of students studying different subjects are 23 in Mathematics, 24 in Physics, 19 in Chemistry, 12 in Mathematics and Physics, 9 in Mathematics and Chemistry, 7 in Physics and Chemistry and 4 in all the three subjects. The number of students who have taken exactly one subject is

186) Let A = {1, 2, 3, 4} and R be a relation in A given by R = {(1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (2, 1), (3, 1), (1, 3)}. Then R is

190) In an office, every employee likes at least one of tea, coffee and milk. The number of employees who like only tea, only coffee, only milk and all the three are all equal. The number of employees who like only tea and coffee, only coffee and milk and only tea and milk are equal and each is equal to the number of employees who like all the three. Then a possible value of the number of employees in the office is

201) Let X = {1, 2, 3, 4, 5} and Y = {1, 3, 5, 7, 9}. Which of the following is/are not relations from X to Y?

207) If A = {1, 2, 3}, then the relation R = { (1, 1), (2, 2), (3, 1), (1, 3) } is

216) The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on set A = {1, 2, 3} is

217) Set builder form of the relation R = {(−2, −7), (−1, −4), (0, −1), (1, 2), (2, 5)} is

220) If A = {x, y, z}, then the relation R = {(x, x), (y, y), (z, z), (z, x), (z, y)} is

231) Let R ={(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)} be a relation on the set A = {3, 6, 9, 12}. The relation is