How many elements has P(A), if A = Φ? 

If X = {a, b, c, d} and Y = {f, b, d, g}, find 

(i) X – Y 

(ii) Y – X 

(iii) X ∩ Y 

If A and B are two sets such that A ⊂ B, then what is A ∪ B? 

Which of the following relations are functions? Give reasons. If it is a function, 

determine its domain and range. 

(i) {(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)} 

(ii) {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)} 

(iii) {(1, 3), (1, 5), (2, 5)}

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

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

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

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

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

Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, which of

 the following may be considered as universals set (s) for all the three sets A, B and C 

(i) {0, 1, 2, 3, 4, 5, 6} 

(ii) Φ 

(iii) {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} 

(iv) {1, 2, 3, 4, 5, 6, 7, 8}