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De Morgan Law

Class 10 Mathematics के इस tag से जुड़े questions।

Class 10 · Mathematics

If U = {1, 2, ..., 100}, A = {x ∈ U : 10 divides x}, and B = {x ∈ U : 15 divides x}, what is n(A′ ∪ B′)?

Class 10 · Mathematics

If A ∪ B′ = U, which of the following statements must be true?

Class 10 · Mathematics

If U = ℝ, A = (-2, 6], and B = [0, 9), what is A' ∪ B'?

Class 10 · Mathematics

If the universal set U = {a, b, c, d, e, f, g, i}, A = {a, c, f}, and B = {b, c, e, i}, what is the value of (A ∪ B)'?

Class 10 · Mathematics

If U = {x : x ∈ ℕ, x ≤ 96}, A = {x : x ∈ U, 8 divides x}, and B = {x : x ∈ U, 12 divides x}, what is n(A′ ∩ B′)?

Class 10 · Mathematics

If U = {x : x ∈ ℕ, x ≤ 84}, A = {x : x ∈ U, 6 divides x}, and B = {x : x ∈ U, 14 divides x}, what is n(A′ ∩ B′)?

Class 10 · Mathematics

For a universal set U, if n(U)=200, n(A′)=76, n(B′)=89, and n(A′∩B′)=31, what is n((A∩B)′)?

Class 10 · Mathematics

Let U = {1, 2, ..., 54}, A = {x ∈ U : 9 divides x}, and B = {x ∈ U : 6 divides x}. What is n(A′ ∩ B′)?

Class 10 · Mathematics

If U = {1,2,...,15}, A = {1,5,9,13}, and B = {2,5,8,11,14}, what is (A ∩ B)′?

Class 10 · Mathematics

If U = {1, 2, ..., 18}, A = {2, 4, 6, 8, 10, 12, 14, 16, 18}, and B = {3, 6, 9, 12, 15, 18}, what is A′ ∪ B′?

Class 10 · Mathematics

If U = {1, 2, ..., 45}, A = {x ∈ U : 3 divides x}, and B = {x ∈ U : 5 divides x}, what is n(A′ ∪ B′)?

Class 10 · Mathematics

If \(A-B=A\cap B'\), then what is \((A-B)'\) equal to?

Class 10 · Mathematics

If \(U=\{1,2,\ldots,40\}\), \(A=\{x:x\in U\text{ and }2\mid x\}\), and \(B=\{x:x\in U\text{ and }5\mid x\}\), what is \(n(A'\cap B')\)?

Class 10 · Mathematics

Which option gives the correct form of \((A\cup B)'\)?

Class 10 · Mathematics

If U = {1, 2, ..., 77}, A = {x ∈ U : x is divisible by 7}, and B = {x ∈ U : x is divisible by 11}, what is |A' ∩ B'|?

Class 10 · Mathematics

If A' ∩ B' = U, what is the correct conclusion about A ∪ B?

Class 10 · Mathematics

If A ∪ B = ∅, what is A' ∩ B' equal to?

Class 10 · Mathematics

If the universal set is U = {1, 2, ..., 42}, A = {x ∈ U : x is divisible by 3}, and B = {x ∈ U : x is divisible by 7}, what is |A' ∪ B'|?

Class 10 · Mathematics

If U = {p, q, r, s, t, u, v, w}, A′ = {q, s, w}, and B′ = {p, s, u}, what is (A ∪ B)′?

Class 10 · Mathematics

If A ∩ B = U, what is A′ ∪ B′?