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Class 12 · Mathematics · Hard
→If A \ B = B, which conclusion must be true?
Class 10 · Mathematics · Medium
→If |A \ B| = 17, |B \ A| = 23, and |A ∩ B| = 14, what is |A ∪ B|?
Class 10 · Mathematics · Hard
→If A ∪ B = U, A ∩ B = C, and C ⊆ A, then A \ B is equal to which set?
Class 10 · Mathematics · Medium
→If A = [-4, 6) and B = (-1, 8], what is A \ B?
Class 10 · Mathematics · Medium
→If U = {1, 2, ..., 84}, A = {x ∈ U : 7 divides x}, and B = {x ∈ U : 12 divides x}, what is |A ∪ B|?
Class 10 · Mathematics · Medium
→In a class of 120 students, 72 are in the mathematics set M, 64 are in the physics set P, and 28 are in both sets. How many students are in neither M nor P?
Class 10 · Mathematics · Hard
→Which statement is always true for all sets A, B, and C?
Class 10 · Mathematics · Medium
→If U = {1, 2, ..., 90}, A = {x ∈ U : 6 divides x}, and B = {x ∈ U : 15 divides x}, what is |A ∪ B|?
Class 10 · Mathematics · Medium
→If A = [-2, 5] and B = (1, 7], what is A \ B?
Class 10 · Mathematics · Medium
→For sets A, B, and C, consider the identity (A \ B) ∩ C = A ∩ (C \ B). Which statement is correct?
Class 10 · Mathematics · Easy
→If A ∪ B = U and A \ B = ∅, what must be true about B?
Class 10 · Mathematics · Medium
→If A \ B ⊆ C and A ∩ B ⊆ C, which conclusion is necessarily true?
Class 10 · Mathematics · Medium
→If |A ∪ B| = 70, |A \ B| = 25, and |B \ A| = 30, what is |A ∩ B|?
Class 10 · Mathematics · Easy
→If A = {1, 2, 3}, B = {3, 4}, and C = {2, 3, 5}, what is (A ∪ B) \ C?
Class 10 · Mathematics · Hard
→If A ∩ B = A ∪ B ∪ C, which conclusion about C must be true?
Class 10 · Mathematics · Medium
→If A ∪ B = A \ B, what is necessarily true about B?
Class 10 · Mathematics · Easy
→If A = {x : x ∈ ℕ, x ≤ 12}, B = {x ∈ A : x is even}, and C = {x ∈ A : x is prime}, how many elements are in B ∪ C?
Class 10 · Mathematics · Easy
→If sets A, B, and C satisfy A ⊆ B and B ∩ C = ∅, what is A ∩ C?
Class 10 · Mathematics · Medium
→If A ∩ B = A \ B, which conclusion about A is correct?
Class 10 · Mathematics · Easy
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