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Class 10 · Mathematics

If A and B are finite sets, A is a proper subset of B, and n(A) = 6, which value of n(B) is impossible?

Class 10 · Mathematics

If A = {1, 2} and B = {1, 2, {1, 2}}, which statement is correct?

Class 10 · Mathematics

If A = {1, {2}, 3}, which statement is true?

Class 10 · Mathematics

If A = {1, 2, 3}, which of the following is a subset of the power set P(A)?

Class 10 · Mathematics

If A = {x ∈ Z | x² = 16} and B = {−4, 4}, which statement is true?

Class 10 · Mathematics

If A = {x ∈ Z | x² ≤ 4}, how many proper subsets does A have?

Class 10 · Mathematics

If A is the set of prime divisors of 30, which of the following is a proper subset of A?

Class 10 · Mathematics

If A = {x : x is a positive multiple of 4 less than 20}, which set is equal to A?

Class 10 · Mathematics

If A △ B = {7} and A ⊆ B, what is B − A equal to?

Class 10 · Mathematics

If A ⊆ B and B − A = ∅, which conclusion follows?

Class 10 · Mathematics

If A = {1, 2, 3} and B = {2, 3, 4}, which set is equal to A ∩ B?

Class 10 · Mathematics

If A = {1, 2, 3, 4}, how many subsets either contain both 2 and 3 or contain neither of them?

Class 10 · Mathematics

If A = {a, b, c, d, e}, how many proper subsets of A do not contain a?

Class 10 · Mathematics

If A = {1, 2, 3, 4, 5}, how many subsets have at least 4 elements?

Class 10 · Mathematics

If \(A=\{1,2,3,4,5,6\}\), how many subsets have exactly two odd elements?

Class 10 · Mathematics

If \(A=\{1,2,3,4\}\), how many subsets can be formed that contain only even elements?

Class 10 · Mathematics

If \(A\) has 2 elements and \(B\) has 3 elements with \(A\subset B\), how many elements are in \(\mathcal{P}(B)\setminus\mathcal{P}(A)\)?

Class 10 · Mathematics

If \(\mathcal{P}(A)\subseteq\mathcal{P}(B)\), which conclusion is correct?

Class 10 · Mathematics

If \(A\subseteq B\), what is the relation between the power sets \(\mathcal{P}(A)\) and \(\mathcal{P}(B)\)?

Class 10 · Mathematics

If \(A\setminus B=A\), what conclusion about \(A\) and \(B\) is correct?