Multi-choice 11 Question 1. If X = { 4n – 3n – 1/n ∈ N}, Y = {9(n – 1 )/n ∈ N}, then Answers Option 1 X ⊂ Y Option 2 X ⊆ Y Option 3 X = Y Option 4 X ⊇ Y Feedback Correct option Wrong choice Incorrect option Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 2. Let A = {0, 1, 3, 4}, B = {5, 6, 1, 3, 9} and C = {1, 2, 3, 4, 9, 13}, then (A ⋂ B) U C is- Answers Option 1 {0, 1, 3} Option 2 (1, 3} Option 3 {0, 1, 2, 3, 4, 9, 13} Option 4 C Feedback Wrong choice Incorrect option Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 3. Let A = {1, 2, 3,…9), B = (2, 4, 6, 7, 8) and C = (3, 4, 5, 8, 9, 10), then (A – B) U C is Answers Option 1 {1, 3, 4, 5, 8, 9, 10} Option 2 {(1, 2, 3, 4, 5, 6, 7, 8, 9} Option 3 {2, 4, 6, 7, 8} Option 4 {1, 3, 4, 5, 8, 9} Feedback Correct option Wrong choice Incorrect option Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 4. X = {1, 2, 3}, Y = {3, 4, 5, 6}. (X – Y) U (Y – X) is Answers Option 1 {4, 5, 6} Option 2 {1, 2, 4} Option 3 {1, 2, 4, 5} Option 4 {1, 2, 4, 5, 6} Feedback Wrong choice Incorrect option Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 5. De ‘Morgan’s law is Answers Option 1 (A U B)c = (A ⋂ B)c Option 2 (A U B)c = Ac ⋂ Bc Option 3 (A U B)c = Ac ⋂ Bc Option 4 (A U B)c = Ac U Bc Feedback Wrong choice Correct option Incorrect option Wrong choice Solution Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Question 6. If n (A) = m and n (B) = p and A ⋂ B = ⏀ then n (A U B) is Answers Option 1 m – p + 4 Option 2 m + p – 4 Option 3 m – p Option 4 m + p Feedback Wrong choice Incorrect option Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 7. If A = (-1, 0, 1). B = (-1, 0) and C = {0, 1). then- (A × B) ⋂ (A × C) = {(-1, 0), (0, 0), (1, 0)} (A × B) U (A × C) = {(-1, -1), (-1, 0), (-1, 1), (0, -1), (0, 0), (0, 1). (1, -1), (1, 0), (1, 1)} (A ⋂ C) × B = {(0, -1), (0, 0), (1, -1) Of these statements Answers Option 1 I alone is correct Option 2 II alone is correct Option 3 I and III are correct Option 4 I and II are correct Feedback Wrong choice Incorrect option Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 8. The shaded region in the diagram given below represents Answers Option 1 A U (B – C) Option 2 ( A – B) ⋂ (B – A) Option 3 ( A – B) U (B – A) Option 4 (A – B) U B Feedback Wrong choice Incorrect option Correct option Wrong choice Solution Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Question 9. The shaded region in the diagram given below represents Answers Option 1 B – ( A U C ) Option 2 A U ( B ⋂ C ) Option 3 A U ( B – C ) Option 4 A ⋂ ( B U C ) Feedback Correct option Wrong choice Incorrect option Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 10. If 57% of Indian like milk and 75% like tea, how many like both ? Answers Option 1 80% Option 2 97% Option 3 35% Option 4 32% Feedback Wrong choice Incorrect option Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback)
Multi-choice 11 Question 1. If X = { 4n – 3n – 1/n ∈ N}, Y = {9(n – 1 )/n ∈ N}, then Answers Option 1 X ⊂ Y Option 2 X ⊆ Y Option 3 X = Y Option 4 X ⊇ Y Feedback Correct option Wrong choice Incorrect option Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 2. Let A = {0, 1, 3, 4}, B = {5, 6, 1, 3, 9} and C = {1, 2, 3, 4, 9, 13}, then (A ⋂ B) U C is- Answers Option 1 {0, 1, 3} Option 2 (1, 3} Option 3 {0, 1, 2, 3, 4, 9, 13} Option 4 C Feedback Wrong choice Incorrect option Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 3. Let A = {1, 2, 3,…9), B = (2, 4, 6, 7, 8) and C = (3, 4, 5, 8, 9, 10), then (A – B) U C is Answers Option 1 {1, 3, 4, 5, 8, 9, 10} Option 2 {(1, 2, 3, 4, 5, 6, 7, 8, 9} Option 3 {2, 4, 6, 7, 8} Option 4 {1, 3, 4, 5, 8, 9} Feedback Correct option Wrong choice Incorrect option Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 4. X = {1, 2, 3}, Y = {3, 4, 5, 6}. (X – Y) U (Y – X) is Answers Option 1 {4, 5, 6} Option 2 {1, 2, 4} Option 3 {1, 2, 4, 5} Option 4 {1, 2, 4, 5, 6} Feedback Wrong choice Incorrect option Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 5. De ‘Morgan’s law is Answers Option 1 (A U B)c = (A ⋂ B)c Option 2 (A U B)c = Ac ⋂ Bc Option 3 (A U B)c = Ac ⋂ Bc Option 4 (A U B)c = Ac U Bc Feedback Wrong choice Correct option Incorrect option Wrong choice Solution Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Question 6. If n (A) = m and n (B) = p and A ⋂ B = ⏀ then n (A U B) is Answers Option 1 m – p + 4 Option 2 m + p – 4 Option 3 m – p Option 4 m + p Feedback Wrong choice Incorrect option Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 7. If A = (-1, 0, 1). B = (-1, 0) and C = {0, 1). then- (A × B) ⋂ (A × C) = {(-1, 0), (0, 0), (1, 0)} (A × B) U (A × C) = {(-1, -1), (-1, 0), (-1, 1), (0, -1), (0, 0), (0, 1). (1, -1), (1, 0), (1, 1)} (A ⋂ C) × B = {(0, -1), (0, 0), (1, -1) Of these statements Answers Option 1 I alone is correct Option 2 II alone is correct Option 3 I and III are correct Option 4 I and II are correct Feedback Wrong choice Incorrect option Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Question 8. The shaded region in the diagram given below represents Answers Option 1 A U (B – C) Option 2 ( A – B) ⋂ (B – A) Option 3 ( A – B) U (B – A) Option 4 (A – B) U B Feedback Wrong choice Incorrect option Correct option Wrong choice Solution Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback) Wrong (Feedback) Question 9. The shaded region in the diagram given below represents Answers Option 1 B – ( A U C ) Option 2 A U ( B ⋂ C ) Option 3 A U ( B – C ) Option 4 A ⋂ ( B U C ) Feedback Correct option Wrong choice Incorrect option Wrong choice Solution Correct Option (Feedback) Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Question 10. If 57% of Indian like milk and 75% like tea, how many like both ? Answers Option 1 80% Option 2 97% Option 3 35% Option 4 32% Feedback Wrong choice Incorrect option Wrong choice Correct option Solution Wrong (Feedback) Wrong (Feedback) Wrong (Feedback) Correct Option (Feedback)
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