With respect to the relation 'x divides y', which of the following sets are totally ordered ?
I. {36, 3, 9}
II. {7, 77, 11}
III. {3,6, 24,12}
IV. {1, 2, 3,……}
In a group of 72 students, 47 have background is Electronics, 59 have background in Mathematics and 42 have background in both the subjects. How many students do not have background in any of the, subjects ?
Which of the following relations are functions?
I. N = {(x, y)/y = x², x ∈ {-1, 0, 1, 2, 3}}
II. P = {(x, y)/y² = x, x ∈ {4, 9, 16})
III. Q = {(x, y)/y = 4x² -14, x ∈ {-1, 1, 2, 3}}
