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Class 10 · Mathematics · Easy
→If A ∪ B = A, which statement about B is correct?
Class 10 · Mathematics · Easy
→If two sets A and B are disjoint, where n(A) = 15 and n(B) = 19, what is n(A ∪ B)?
Class 10 · Mathematics · Medium
→If n(A) = 52, n(B) = 47, n(A ∩ B) = 21, and n(U) = 80, what is n((A ∪ B)')?
Class 12 · Mathematics · Easy
→In a class of 60 students, 34 study Mathematics, 28 study Physics, and 12 study both. How many students study only Mathematics?
Class 10 · Mathematics · Medium
→If n(A − B) = 12, n(B − A) = 9, and n(A ∩ B) = 7, what is n(A ∪ B)?
Class 10 · Mathematics · Medium
→If A = {x ∈ ℝ : −3 ≤ x ≤ 2} and B = {x ∈ ℝ : −1 < x < 4}, what is A − B?
Class 10 · Mathematics · Medium
→If A = {x ∈ ℝ : 0 ≤ x < 3} and B = {x ∈ ℝ : 1 < x ≤ 5}, what is A ∪ B?
Class 10 · Mathematics · Hard
→If A ∩ B = A ∩ C and A ∪ B = A ∪ C, which conclusion is correct?
Class 10 · Mathematics · Medium
→If A △ B = (A − B) ∪ (B − A), where A = {a, b, c, d} and B = {b, d, e, f}, find A △ B.
Class 10 · Mathematics · Medium
→If A − B = ∅ and B − A ≠ ∅, which conclusion is correct?
Class 10 · Mathematics · Hard
→If A = {1, 2, 3, 4, 5}, B = {2, 4, 6, 8}, and C = {1, 4, 7, 8}, find A ∩ (B ∪ C).
Class 12 · Mathematics · Hard
→Let U = {1, 2, ..., 12}, A = {2, 4, 6, 8, 10, 12}, and B = {3, 6, 9, 12}. What is (A ∪ B)′?
Class 10 · Mathematics · Hard
→If A ⊆ B, which set is equal to (A ∪ B) − (A ∩ B)?
Class 10 · Mathematics · Hard
→If n(A) = 45, n(B) = 38, and n(A ∪ B) = 63, find n(A ∩ B).
Class 10 · Mathematics · Hard
→If A ∪ B = {1, 2, 3, 4, 5, 6}, A ∩ B = {2, 5}, and A − B = {1, 4}, what is B − A?
Class 10 · Mathematics · Medium
→If A = {x ∈ ℤ : −2 ≤ x < 5} and B = {x ∈ ℤ : x² ≤ 9}, then what is A − B?
Class 10 · Mathematics · Easy
→Let A = {x ∈ ℕ : 1 ≤ x ≤ 30 and x is a multiple of 2} and B = {x ∈ ℕ : 1 ≤ x ≤ 30 and x is a multiple of 3}. How many elements are in A ∩ B?
Class 10 · Mathematics · Medium
→If A = {1, 4, 9, 16, 25} and B = {2, 4, 8, 16, 32}, what is (A − B) ∪ (B − A)?
Class 10 · Mathematics · Medium
→If A = {x : x² − 7x + 12 = 0} and B = {x : x² − 9x + 20 = 0}, what is A ∪ B?
Class 10 · Mathematics · Medium
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