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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 = ∅, n(A) = p, and n(B) = q, what is n(A ∪ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Easy MathematicsIf n(A) = 18, n(B) = 22, and n(A ∪ B) = 31, what is n(A \ B)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium MathematicsIf \(U=\{1,2,\ldots,30\}\), \(A=\{x:x\in U,\ 2\mid x\}\) and \(B=\{x:x\in U,\ 3\mid x\}\), what is \(n(A\cup B)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 16Medium MathematicsIf \(A=\{x:x\in\mathbb N,\ x\le12\}\) and \(B=\{x:x\in\mathbb N,\ x\text{ is a perfect square},\ x\le12\}\), how many elements are in \(A-B\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Easy MathematicsWhy do A, B, and C create 7 separate inner regions in a Venn diagram?Class 10SetsVenn DiagramsLevel 15Medium MathematicsFor three sets A, B, and C, n(A) = 84, n(B) = 78, and n(C) = 72. There are 96 elements in exactly one set and 12 elements in all three sets. How many elements are in exactly two sets?Class 10SetsVenn DiagramsLevel 14Hard MathematicsIn three sets, n(A∪B∪C)=172. The numbers of elements only in A, only in B, only in C, only in A∩B, only in B∩C, and only in C∩A are 38, 34, 29, 21, 18, and 16, respectively. What is n(A∩B∩C)?Class 10SetsVenn DiagramsLevel 10Medium MathematicsLet \(U=\{1,2,3,\ldots,60\}\), \(A=\{x:x\text{ is divisible by }2\}\), \(B=\{x:x\text{ is divisible by }3\}\), and \(C=\{x:x\text{ is divisible by }5\}\). What is \(n(A\cap B\cap C)\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 11Medium MathematicsIn a three-set Venn diagram, \(n(A\cap B)=12\), \(n(B\cap C)=13\), \(n(C\cap A)=10\), and \(n(A\cap B\cap C)=4\). How many elements lie in exactly two of the sets?Class 10SetsVenn DiagramsLevel 11Medium MathematicsIf n(A−B)=23 and n(B−A)=31, what is n(A △ B)?Class 10SetsVenn DiagramsLevel 10Easy MathematicsIf n(U)=100, n(A)=45, n(B)=40, and n(A∩B)=15, what is n((A∪B)′)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf n(A) = 18, n(B) = 20, and n(A ∩ B) = 6, what is n(A ∪ B)?Class 10SetsVenn DiagramsLevel 13Easy MathematicsIf U = {1, 2, 3, 4, 5, 6, 7} and A = {2, 4, 6}, how many subsets of P(A′) contain both 1 and 7?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A = {a,b,c,d,e}, how many elements of P(A) contain both a and b?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A = {1,2,3,4,5,6}, how many elements of P(A) are subsets containing at least 2 elements?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf A = {1, 2, 3, 4}, how many elements of P(A) contain 1 but do not contain 4?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A = {a,b,c,d,e,f,g}, how many 4-element subsets of P(A) contain a and do not contain b?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf A = {1,2,3,4,5,6}, how many 4-element subsets of A contain both 1 and 2?Class 10SetsEqual sets and SubsetsLevel 10Medium MathematicsIf A = {1, 2, 3, 4, 5}, how many subsets in P(A) contain both 1 and 2 and do not contain 5?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf U = {a,b,c,d,e,f,g,h} and A = {a,b,c}, how many members of P(U) contain A as a subset?Class 10SetsPower Set and SubsetsLevel 9Medium