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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।

MathematicsLet U = {1,2,...,55}, A = {x ∈ U : x is divisible by 5}, and B = {x ∈ U : x is divisible by 11}. What is |A' ∩ B'|?Class 10SetsComplement of a Set and Its PropertiesLevel 10Hard MathematicsIf \(U=\{1,2,\ldots,24\}\), \(A=\{x:x\text{ is divisible by }2\}\), \(B=\{x:x\text{ is divisible by }3\}\), and \(C=\{x:x\text{ is divisible by }4\}\), what is \(|(A\cup B\cup C)'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Hard MathematicsIf U = {1, 2, ..., 90}, and A, B, C are respectively the sets of multiples of 2, 3, and 5, what is |(A ∪ B ∪ C)'|?Class 10SetsComplement of a Set and Its PropertiesLevel 20Hard MathematicsIf \(|U|=150\), \(|A'|=92\), \(|B'|=76\), and \(|A\cap B|=31\), what is \(|(A\cup B)'|\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 20Hard MathematicsIf \(U=\{1,2,\ldots,72\}\), \(A\) is the set of multiples of 4, and \(B\) is the set of multiples of 9, what is \(|(A\cup B)'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 20Hard MathematicsIf the universal set is \(U=\{1,2,\ldots,36\}\), \(A\) is the set of multiples of 4, and \(B\) is the set of multiples of 9, what is the value of \(|A'\cap B'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U has 200 students, 120 take Hindi, 90 take English, and 50 take both languages, how many take neither language?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf U = {1, 2, ..., 30} and A = {x : x is divisible by 2 or 3}, how many elements are in A'?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIn a universal set \(U\) of 120 students, 70 study mathematics, 65 study physics, and 30 study both. How many study neither mathematics nor physics?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(U=\{1,2,\ldots,60\}\), \(A\) is the set of multiples of 3, \(B\) the set of multiples of 4, and \(C\) the set of multiples of 5, what is \(|(A\cup B\cup C)'|\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Hard MathematicsIf |U| = 100, |A'| = 58, |B'| = 47, and |A ∩ B| = 21, what is the value of |(A ∪ B)'|?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf |U| = 80, |A| = 35, |B| = 40, and |A ∩ B| = 15, what is |(A ∪ B)ᶜ|?Class 10SetsComplement of a Set and Its PropertiesLevel 19Hard MathematicsIf U = {1, 2, ..., 30}, A is the set of prime numbers and B is the set of multiples of 3, then how many elements are in (A ∪ B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIn a survey of 150 people, 85 like tea, 70 like coffee, and 40 like both tea and coffee. How many people like neither tea nor coffee?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf n(U) = 75, n(A) = 42, n(B) = 38, and n(A ∩ B) = 20, what is n((A ∪ B)ᶜ)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf U has 120 students, 72 study Hindi and 55 study English, while 30 study both, how many students study neither Hindi nor English?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(A\), \(B\), and \(C\) are finite sets and \(A\cap B\cap C=\varnothing\), which formula for \(|A\cup B\cup C|\) is correct?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf \(|A\cup B|=92\), \(|A\setminus B|=31\), and \(|A\cap B|=27\), what is \(|B|\)?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf |A| = 30, |B| = 27, |C| = 25, |A ∩ B| = 12, |B ∩ C| = 10, |C ∩ A| = 8, and |A ∩ B ∩ C| = 4, what is |A ∪ B ∪ C|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 18Hard MathematicsIf |A| = 41, |B| = 36, and |A \ B| = 19, what is |A ∪ B|?Class 10SetsOperations on Sets (Union, Intersection, Difference)Level 10Medium