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Sets



Question

Q1. A and B are two sets A ∩ (A ∪ B)' is equal to

(a) A∪B (b) A∩B (c) A (d) ∅

Solution.
A ∩ (A ∪ B)' = A ∩ (A' ∩ B') = ∅

∴ A ∩ A' = ∅
Solution

Q2. If n(A) = 3, n(B) = 2, then find n(A x A x B) = ___________

(a) 19 (b) 17 (c) 16 (d) 18

Solution.
(d) 18
Solution

Q3. If A = {1,2,3,4}, then the number of proper subsets of A .

(a) 18 (b) 15 (c) 16 (d) 17

Solution.
(b) 15
Solution

Q4. If A = {x : x2 - 3x + 2 = 0}
B = {x : x2 + 4x - 12 = 0} then B - A is equal to

(a) {2,6} (b) {1,2} (c) {-6} (d) {2}

Solution.
(c) {-6}
Solution

Q5. A ∩ A' =
(a) U (b) A (c) A' (d) ∅

Solution.
(d) ∅
Solution

Q6. P U Q = P then
(a) P ⊂ Q (b) Q ⊂ P (c) Two sets are not subsets of each other (d) None of these

Solution.
(b) Q ⊂ P
Solution

Q7. Number of observations of A and B are 6 and 7 respectively. Then number of observations of A x B =

Solution.
42
Solution

Q8. The number of all proper subsets of A = {1,2,3}

Solution.
7
Note ; 2n - 1
Solution

Q9. Two sets are called as disjoint set if A ∩ B = _________ .
(a) A (b) B (c) ∅ (d) None of these

Solution.
(c) ∅
Note : In the case of disjoint set there is no common element between them.
Solution

Q10. If A = {1,2,3,4}, B = {a,b,c,d} then A and B are
(a) equal set (b) equivalent set (c) Power set (d) None of these

Solution.
(b) equivalent set
Solution