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

MathematicsIf U = {1, 2, …, 60}, A = {x ∈ U : 2 divides x}, and B = {x ∈ U : 3 divides x}, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 17Medium MathematicsIf A = [−4, 2) ∪ (5, 9] and B = (−1, 6], what is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Hard MathematicsIf n(A ∪ B) = 54, n(A \ B) = 17, and n(B \ A) = 21, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium MathematicsIf A and B are any two sets, then (A ∪ B) \ (A \ B) is equal to which set?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium 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