Related InterviewSolutions

• If A = {2, 3, 5, 7,11} and B = {5, 7, 9, 11, 13}, find A ∆ B.
• (i) If n(A) = 25, n(B) = 40, n(A ∪ B) = 50 and n(B’) = 25, find n(A ∩ B) and n(U).(ii) If n(A) = 300, n(A ∪ B) = 500, n(A ∩ B) = 50 and n(B’) = 350, find n(B) and n(U).
• If U = {x : x ∈ N and x < 10}, A = {1, 2, 3, 5, 8} and B = {2, 5, 6, 7, 9}, then n[(A ∪ B)’] is (1) 1 (2) 2 (3) 4 (4) 8
• Which of the following is true? (1) A – B = A ∩ B (2) A – B = B – A (3) (A ∪ B)’ = A’ ∪ B’ (4) (A ∩ B)’ = A’ ∪ B’
• If A ∪ B = A ∩ B, then (1) A ≠ B (2) A = B (3) A ⊂ B (4) B ⊂ A
• In a class of 50 boys, 35 boys play carom and 20 boys play chess then the number of boys play both games is (1) 5 (2) 30 (3) 15(4) 10
• From the adjacent diagram n[P(A ∆ B)] is (1) 8 (2) 16 (3) 32 (4) 64
• If n(A) = 10 and n(B) = 15 then the minimum and maximum number of elements in A ∩ B is (1) (10, 15) (2) (15, 10) (3) (10, 0) (4) (0, 10)
• For any three sets P, Q and R, P – (Q ∩ R) is (1) P – (Q ∪ R) (2) (P ∩ Q) – R (3) (P – Q) ∪ (P – R) (4) (P – Q) ∩ (P – R)
• Verify n(A ∪ B ∪ C) = n(A) + n(B) + n(C) – n(A ∩ B) – n(B ∩ C) – n(A ∩ C) + n(A ∩ B ∩ C) for the following sets. (i) A = {a, c, e, f, h}, B = {c, d, e, f} and C = {a, b, c, f} (ii) A = {1, 3, 5}, B = {2, 3, 5, 6} and C = {1, 5, 6, 7}.