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Operations On Sets Union Intersection Difference

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf A, B, and C are sets and A ∩ B = A ∩ C, which statement is definitely true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Hard MathematicsIf A \ B = C and C ∩ B = ∅, what can be said about C ⊆ A?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Easy MathematicsIf A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C), which law does this illustrate?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Easy MathematicsIf A = {x ∈ R : x ≤ 0} and B = {x ∈ R : x > 2}, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Easy MathematicsIf A = {x : x ∈ ℤ, |x| ≤ 3} and B = {x : x ∈ ℤ, x² − 1 = 0}, what is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsLet N = {1, 2, 3, ...}. If A = {x ∈ N : x ≤ 50 and 4 divides x} and B = {x ∈ N : x ≤ 50 and 6 divides x}, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium MathematicsIf A ∩ B = ∅, what is (A ∪ B) \ A?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Easy MathematicsIf A \ B = B \ A = {2, 5}, what is the correct conclusion?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium MathematicsIf A ∩ B = A \ B, what is the correct conclusion about A?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium MathematicsIf A ∪ B = A ∩ C, which conclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Hard MathematicsIf A = {x ∈ R : 0 ≤ x ≤ 4} and B = {x ∈ R : x² − 4x + 3 ≤ 0}, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium MathematicsIf A = {1, 2, 3, 4}, how many subsets B ⊆ A satisfy that A \ B has exactly 2 elements?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium MathematicsLet U be a universal set with n(U) = 60. If n(A) = 32, n(B) = 27, and n(A ∩ B) = 11, what is n((A ∪ B)′), the number of elements in the complement of A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A \ B has 5 elements, B \ A has 7 elements, and A ∩ B has 4 elements, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium MathematicsIf A and B are subsets of a universal set U, then (A \ B) ∪ (A ∩ B) is equal to which set?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Hard MathematicsLet A = {x : x is a positive natural number, x ≤ 15, and 2 divides x} and B = {x : x is a positive natural number, x ≤ 15, and 5 divides x}. How many elements are in A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf A = {x : x = 2k, k ∈ Z} and B = {x : x = 3m, m ∈ Z}, then A ∩ B is the set of what?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium MathematicsIf A = {(x, y) : x, y ∈ {1, 2, 3}, x < y} and B = {(x, y) : x + y = 4}, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium MathematicsIf A \ B = A, which conclusion is definite?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf A − B means A \ B, which statement is generally false?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy