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Class 10 · Mathematics · Easy

If A is a subset of U, n(U) = 60, n(A) = 28, and n(A') = x, what is x?

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Class 10 · Mathematics · Medium

If A has 6 elements, how many subsets of A do not contain a particular chosen element?

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Class 10 · Mathematics · Medium

If A has 5 elements, how many subsets of A will contain one fixed element?

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Class 10 · Mathematics · Medium

If A = {1, 2, 3, 4}, how many elements of P(A) have exactly 2 elements?

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Class 10 · Mathematics · Medium

If A has 3 elements, how many non-empty proper subsets of A are there?

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Class 10 · Mathematics · Easy

For any set A, which two elements are always present in P(A)?

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Class 10 · Mathematics · Medium

If A = {∅, 1}, which of the following is an element of P(A)?

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Class 12 · Mathematics · Medium

If {7} ∈ P(A), which statement is definitely true?

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Class 12 · Mathematics · Easy

If A = {5}, what is P(A)?

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Class 10 · Mathematics · Medium

If A = {x : x is a positive divisor of 18}, what is n(P(A))?

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Class 10 · Mathematics · Easy

If the universal set U has 35 elements and set A has 12 elements, how many elements does the complement A′ contain?

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Class 10 · Mathematics · Easy

If A ⊆ U and A′ = U, what is A?

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Class 10 · Mathematics · Easy

If A is a subset of the universal set U, what is (A′)′?

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Class 10 · Mathematics · Medium

If A and B are subsets of U, what is (A ∪ B)′ equal to?

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Class 10 · Mathematics · Medium

In a class of 40 students, 18 are in the mathematics club and 15 are in the science club. If 6 students are in both clubs, how many students are in neither club?

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Class 10 · Mathematics · Easy

If U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {1, 3, 5, 7}, how many elements are in A′?

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Class 10 · Mathematics · Easy

If the universal set U = {a, b, c, d, e} and A = {b, d}, what is A′?

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Class 10 · Mathematics · Medium

How many elements does 𝒫(𝒫(∅)) have?

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Class 10 · Mathematics · Easy

How many elements are there in the power set 𝒫(∅) of the empty set?

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Class 10 · Mathematics · Medium

If A = {1, 2, {3}}, which of the following is not an element of 𝒫(A)?

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