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Class 10 · Mathematics · Medium
→If A = {a, b, c, d} and B = {c, d, e}, how many elements does P(A ∩ B) contain?
Class 10 · Mathematics · Medium
→If A △ B is defined as (A \ B) ∪ (B \ A), and n(A ∪ B) = 40 and n(A ∩ B) = 13, what is n(A △ B)?
Class 10 · Mathematics · Medium
→If A = {x ∈ Z : |x| ≤ 4} and B = {x ∈ Z : x² − 2x − 3 = 0}, how many elements does A \ B contain?
Class 10 · Mathematics · Medium
→Let \(U=\{1,2,\ldots,50\}\), \(A=\{x:x\in U,\ 4\mid x\}\), and \(B=\{x:x\in U,\ 6\mid x\}\). What is \(n(A\cap B)\)?
Class 10 · Mathematics · Medium
→If A ∩ B = B, which statement about A \ B is not definitely true?
Class 10 · Mathematics · Medium
→If \(A\cup B=A\), what is the value of \(B\setminus A\)?
Class 10 · Mathematics · Easy
→If n(A \ B) = 12, n(B \ A) = 9, and n(A ∩ B) = 6, what is the value of n(A ∪ B)?
Class 10 · Mathematics · Medium
→If (A \ B = {2, 5}), (B \ A = {7}), and (A ∩ B = {1, 3}), then what is (A ∪ B)?
Class 10 · Mathematics · Easy
→If A ∩ B = ∅, n(A) = 21, and n(B) = 17, what is the value of n(A ∪ B)?
Class 12 · Mathematics · Medium
→If A \ B = A, which statement is always true?
Class 10 · Mathematics · Medium
→If A = {1, 3, 5, 7, 9}, B = {3, 6, 9}, and C = {1, 2, 3, 4}, what is (A ∪ B) \ C?
Class 10 · Mathematics · Easy
→If A = {1, 2, 3, 4, 5}, B = {2, 4, 6}, and C = {1, 4, 7}, what is A ∩ (B ∪ C)?
Class 10 · Mathematics · Medium
→If A = {x ∈ R : −1 < x ≤ 5} and B = {x ∈ R : 2 ≤ x < 7}, then what is A \ B?
Class 10 · Mathematics · Medium
→If A = {x ∈ R : x² ≤ 16} and B = {x ∈ R : x > 1}, what is the interval form of A ∩ B?
Class 10 · Mathematics · Medium
→If A = {x ∈ R | x² − 5x + 6 = 0} and B = {x ∈ R | x² − 4x + 3 = 0}, what is A ∩ B?
Class 10 · Mathematics · Medium
→If U = {1, 2, ..., 30}, A = {x : x ∈ U, 2 divides x}, and B = {x : x ∈ U, 5 divides x}, then what is n(A \ B)?
Class 10 · Mathematics · Medium
→In a survey of 90 people, 52 like tea, 47 like coffee, and 19 like both tea and coffee. How many people like neither tea nor coffee?
Class 10 · Mathematics · Medium
→In a class of 64 students, 38 study Mathematics, 32 study Physics, and 20 study both subjects. How many students study exactly one subject?
Class 10 · Mathematics · Medium
→If \(n(A\cup B)=75\), \(n(A\cap B)=18\), and \(n(A)=46\), what is the value of \(n(B)\)?
Class 10 · Mathematics · Hard
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