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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 n(A − B) = 4x + 1, n(B − A) = 3x + 6, n(A ∩ B) = 2x + 5 and n(A ∪ B) = 120, then what is x?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15HardMathematicsIf n(A) = 6x + 5, n(B) = 5x + 9, n(A ∩ B) = 3x + 4 and n(A ∪ B) = 106, then what is the value of x?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15HardMathematicsIf n(A) = 72, n(B) = 67, and n(A ∪ B) = 101, what is n(A △ B), the number of elements in the symmetric difference of A and B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 15MediumMathematicsIf only n(A−B)=20, n(B−C)=18, and n(C−A)=16 are given, can n(A ∪ B ∪ C) be determined uniquely?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14HardMathematicsIf n(A ∩ B) = 26 and n(A ∩ B ∩ C) = 10, how many elements are only in A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14MediumMathematicsIn an exam, 82 students solved question A, 76 solved B, 69 solved C, 37 solved both A and B, 32 solved both B and C, 29 solved both C and A, and 15 solved all three. How many solved at least one question?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14HardMathematicsIn a survey of 120 people, 66 read a newspaper, 58 read a magazine, and 24 read neither. How many read both?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14MediumMathematicsIf n(A ∩ B) = 0, n(A) = 28, and n(B) = 34, what is n(A △ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14MediumMathematicsIf (n(A\cup B)=n(A)), which conclusion is correct according to the Venn diagram?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf A ∩ B = ∅, then what is A − B equal to?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14EasyMathematicsIf A ⊆ B, then what is (A ∪ B) − A equal to?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14MediumMathematicsIf n(A ∪ B) = 98 and n(A ∩ B) = 35, what is the value of n(A − B) + n(B − A)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf n(A) = 55, n(B) = 62, and n(A − B) = 23, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf n(A) = 42, n(B) = 38, and n(A ∩ B) = 17, what is n(A' ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf n(U) = 150, n(A) = 91, and n(B) = 86, what is the minimum possible value of n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIf n(A) = 73 and n(B) = 58, what is the maximum possible value of n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIf n(U) = 75, n(A) = 46, and n(B) = 41, what is the minimum possible value of n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10MediumMathematicsIf U = {1, 2, ..., 36}, A is the set of square numbers and B is the set of multiples of 3, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsIf U = {1, 2, ..., 40}, A is the set of prime numbers and B is the set of even numbers, what is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10EasyMathematicsLet U = {1, 2, ..., 90}. If A is the set of multiples of 5 and B is the set of multiples of 9, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 14Medium

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