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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 A \ B = B \ A = {2, 5}, what is the correct conclusion?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf A ∩ B = A \ B, what is the correct conclusion about A?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16MediumMathematicsIf A ∪ B = A ∩ C, which conclusion must be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10HardMathematicsIf 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 16MediumMathematicsIf 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 16MediumMathematicsLet 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 10MediumMathematicsIf 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 16MediumMathematicsIf 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 16HardMathematicsLet 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 10EasyMathematicsIf 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 16MediumMathematicsIf 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 16MediumMathematicsIf A \ B = A, which conclusion is definite?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf A − B means A \ B, which statement is generally false?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIn what context is the statement A \ B = A ∩ B′ correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf A = {x ∈ R : x < 2} and B = {x ∈ R : x > −1}, what is A ∪ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIf A = {x ∈ Z : −3 ≤ x < 4} and B = {x ∈ Z : x² ≤ 4}, what is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsLet U = {1, 2, ..., 20}, A = {x ∈ U : x is prime}, and B = {x ∈ U : x is odd}. What is A \ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIn a class of 40 students, 24 chose Mathematics and 18 chose Physics, while 7 chose neither subject. How many students chose both subjects?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf A ∩ B = ∅, n(A) = p, and n(B) = q, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIf A ⊆ C and B ⊆ C, what is (A ∪ B) \ C?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium