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Class 10 Mcq

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) = 36, n(B − A) = 28, n(A ∩ B) = 22, and n(U) = 120, what is n(Aᶜ ∪ Bᶜ)?Class 10SetsComplement of a Set and Its PropertiesMedium MathematicsIn a Venn diagram, n(A − B) = 25, n(B − A) = 30, n(A ∩ B) = 20, and n((A ∪ B)ᶜ) = 15. What is n(Aᶜ)?Class 10SetsVenn DiagramsMedium MathematicsIf n(U) = 170, n(A ∩ B) = 44, and n(Aᶜ ∪ Bᶜ) = 146, what can be said about the given data?Class 10SetsComplement of a Set and Its PropertiesMedium MathematicsIf n(A) = 90, n(B) = 85, n(A ∪ B) = 125, and n(U) = 160, what is n(Aᶜ ∩ Bᶜ)?Class 10SetsComplement of a Set and Its PropertiesMedium MathematicsIf n(A ∪ B) = 104, n(A ∩ B) = 26, and n(A − B) = 37, what is n(B)?Class 10SetsVenn DiagramsMedium MathematicsIn a survey, n(A) = 82, n(B) = 76, n(C) = 70, 54 people are in exactly two sets, and 18 are in all three sets. How many people are in exactly one set?Class 10SetsVenn DiagramsHard MathematicsIf n(A ∪ B ∪ C) = 128, 63 elements are in exactly one set, and 11 are in all three sets, how many elements are in exactly two sets?Class 10SetsOperations on Sets (Union, Intersection, Difference)Medium MathematicsIf in three sets there are 71 elements belonging to exactly one set, 46 elements belonging to exactly two sets, and 15 elements belonging to all three sets, what is n(A ∪ B ∪ C)?Class 10SetsVenn DiagramsMedium MathematicsIn three sets, n(A ∪ B ∪ C) = 150. If only A = 32, only B = 28, only C = 24, only A ∩ B = 18, only B ∩ C = 16, and only C ∩ A = 14, what is n(A ∩ B ∩ C)?Class 10SetsVenn DiagramsHard MathematicsIn a survey, n(U) = 200, n(A) = 96, n(B) = 88, n(C) = 74, n(A ∩ B) = 40, n(B ∩ C) = 31, n(C ∩ A) = 29, and n(A ∩ B ∩ C) = 12. How many people are in none of the sets?Class 10SetsVenn DiagramsHard MathematicsIf n(A) = 55, n(B) = 50, n(A − B) = 20, and n(B − A) = 18, what is the correct conclusion about the given data?Class 10SetsVenn DiagramsHard MathematicsIf n(A) = 48, n(B) = 52, n(A − B) = 17, and n(B − A) = 21, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Hard MathematicsIf n(A ∩ B) = n(A), which relation must be true?Class 10SetsVenn DiagramsMedium MathematicsIf n(A ∪ B) = n(A), which relation must be true?Class 10SetsVenn DiagramsMedium MathematicsIf n(A ∪ B) = n(A) + n(B), which conclusion is correct according to the Venn diagram?Class 10SetsVenn DiagramsMedium MathematicsGiven n(A − B) = 34, n(B − C) = 41, and n(C − A) = 29, which conclusion cannot always be assumed to be true?Class 10SetsOperations on Sets (Union, Intersection, Difference)Hard MathematicsLet U = {1, 2, 3, ..., 100}. A is the set of numbers divisible by 2, B the set of numbers divisible by 5, and C the set of numbers divisible by 10. Which relation is correct?Class 10SetsVenn DiagramsMedium MathematicsLet U = {1, 2, 3, ..., 50}, A be the set of prime numbers, and B be the set of even numbers. What is A ∩ B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Medium MathematicsLet \(U=\{1,2,3,\ldots,30\}\), \(A=\{x:x\text{ is a multiple of }2\}\), and \(B=\{x:x\text{ is a multiple of }3\}\). What is \(n(A\cap B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Medium MathematicsLet \(U\) be a universal set with \(n(U)=200\). If \(n(A\cup B)=128\), \(n(A\cap B)=36\), and \(n(A^c\cap B^c)=72\), which relation is true?Class 10SetsVenn DiagramsMedium