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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 only A has 21 elements, only B has 24, only C has 18, only A∩B has 13, only B∩C has 11, only C∩A has 9, and all three sets have 7 elements, how many elements belong to exactly two sets?Class 10SetsVenn DiagramsEasy MathematicsIn a survey, n(U)=180, n(A)=82, n(B)=76, n(C)=69, n(A∩B)=34, n(B∩C)=29, n(C∩A)=27, and n(A∩B∩C)=12. How many people are in none of the sets?Class 10SetsVenn DiagramsMedium MathematicsIf n(A ∪ B ∪ C) = 140, exactly one set has 65 elements and exactly two sets have 51 elements, what is n(A ∩ B ∩ C)?Class 10SetsVenn DiagramsHard MathematicsIf n(A − B) = 18, n(B − C) = 25, and n(C − A) = 20, can n(A ∪ B ∪ C) be determined uniquely from only these data?Class 10SetsOperations on Sets (Union, Intersection, Difference)Hard MathematicsIf n(A) = 46 and n(B) = 39, what is the maximum possible value of n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Easy MathematicsIf n(U) = 100, n(A) = 64, and n(B) = 58, what is the minimum possible value of n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Medium MathematicsIf n(U) = 60, n(A) = 35, and n(B) = 32, what is the minimum possible value of n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Hard MathematicsIf A and B are disjoint, then what is (A ∪ B)' equal to?Class 10SetsVenn DiagramsMedium MathematicsIf A ∩ B = ∅ and B ∩ C = ∅, must A ∩ C = ∅?Class 10SetsVenn DiagramsMedium MathematicsIf n(A ∪ B) = n(U), which region is empty in the Venn diagram?Class 10SetsVenn DiagramsMedium MathematicsIn a survey of 160 people, 92 have a mobile phone, 78 have a laptop, and 51 have both. How many people have exactly one of the two devices?Class 10SetsEqual sets and SubsetsMedium MathematicsIn a Venn diagram, 14 elements lie outside both A and B, 22 lie only in A, 18 lie only in B, and 11 lie in both A and B. What is n(U)?Class 10SetsVenn DiagramsEasy MathematicsLet U = {1, 2, ..., 50}. If A is the set of multiples of 4 in U and B is the set of multiples of 6 in U, what is n(A ∩ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Easy MathematicsLet U = {1, 2, ..., 30}. If A is the set of multiples of 2 in U and B is the set of multiples of 5 in U, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Medium MathematicsLet U = {1, 2, ..., 20}, A be the set of prime numbers in U, and B be the set of odd numbers in U. What is A − B?Class 10SetsOperations on Sets (Union, Intersection, Difference)Easy MathematicsIf n(A − B) = 2x + 3, n(B − A) = x + 7, n(A ∩ B) = x − 1, and n(A ∪ B) = 45, what is the value of x?Class 10SetsVenn DiagramsMedium MathematicsIf n(A) = 3x + 2, n(B) = 2x + 5, n(A ∩ B) = x + 1, and n(A ∪ B) = 30, what is the value of x?Class 10SetsVenn DiagramsMedium MathematicsIf n(A ∪ B ∪ C) = 118, n(A) = 45, n(B) = 50, n(C) = 55, n(A ∩ B) = 18, n(B ∩ C) = 20, and n(C ∩ A) = 16, what is n(A ∩ B ∩ C)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Hard MathematicsAmong 100 students, 40 are only in A, 28 are only in B, and 12 are in both. How many are in at least one set?Class 10SetsOperations on Sets (Union, Intersection, Difference)Easy MathematicsIn a survey of 90 people, 52 like tea, 47 like coffee, and 25 like both. How many like neither tea nor coffee?Class 10SetsOperations on Sets (Union, Intersection, Difference)Medium