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Class 12 · Mathematics

Let U = {1, 2, ..., 12}, A = {2, 4, 6, 8, 10, 12}, and B = {3, 6, 9, 12}. What is (A ∪ B)′?

Class 10 · Mathematics

The length of a rectangle is 7 units more than its breadth, and its area is 120 square units. If the breadth is \(x\) units, which quadratic equation is formed in \(x\)?

Class 10 · Mathematics

If A = {x : x² − 7x + 12 = 0} and B = {x : x² − 9x + 20 = 0}, what is A ∪ B?

Class 12 · Mathematics

If A = {2, 4, 6, 8, 10}, B = {1, 2, 3, 4, 5}, and C = {4, 5, 6, 7}, what is A ∩ (B ∪ C)?

Class 12 · Mathematics

If \(A=\{1,2,3,4,5,6,7\}\) and \(B=\{2,4,6,8\}\), what is \((A-B)\cup(B-A)\)?

Class 12 · Mathematics

If n(A − B) = 13 and n(A ∩ B) = 7, what is n(A)?

Class 10 · Mathematics

In a class, 30 students study Mathematics, 22 students study Physics, and 12 students study both subjects. How many students study at least one subject?

Class 10 · Mathematics

If A = {1,2,3,4,5,6,7,8}, B = {2,4,6,8,10}, and C = {1,4,8,12}, what is (A ∩ B) \ C?

Class 10 · Mathematics

If \(A=\{1,4,7,10\}\), \(B=\{2,4,8,10\}\), and \(C=\{4,10,12\}\), what is \((A\cup B)\cap C\)?

Class 10 · Mathematics

If \(A=\{x:x\in\mathbb{N},\ x\le 15,\ x\text{ is composite}\}\) and \(B=\{4,6,8,10,12,14\}\), what is \(B\setminus A\)?

Class 10 · Mathematics

If \(A=\{1,3,6,9\}\) and \(B=\{3,6,12\}\), which element belongs to \(A\setminus B\)?

Class 10 · Mathematics

If A = {2,4,6,8,10}, B = {4,8,12}, and C = {2,8,14}, what is (A ∩ B) ∪ C?

Class 10 · Mathematics

If n(A \ B) = 12, n(A ∩ B) = 7, and n(B \ A) = 16, what is n(A ∪ B)?

Class 12 · Mathematics

If n(A \ B) = 17 and n(A ∩ B) = 11, what is n(A)?

Class 12 · Mathematics

If A = {x ∈ Z : −4 ≤ x ≤ 1} and B = {x ∈ Z : −1 ≤ x ≤ 4}, what is A ∪ B?

Class 10 · Mathematics

If A = {4, 6, 8, 10, 12} and B = {3, 6, 9, 12, 15}, what is A ∩ B?

Class 10 · Mathematics

Which factorised form represents the equation \(x^2+7x+12=0\)?

Class 10 · Mathematics

If A = {x : x ∈ N, 1 ≤ x ≤ 12}, B = {2, 4, 6, 8, 10, 12}, and C = {3, 6, 9, 12}, what is A \ (B ∪ C)?

Class 10 · Mathematics

In a group, 32 students play cricket, 24 play football, and 12 play both. How many students play only football?

Class 10 · Mathematics

If A = {1, 2, 3, 4}, B = {2, 4, 6, 8}, and C = {4, 8, 12}, what is A ∩ B ∩ C?