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Class 10 · Mathematics · Medium

If \(A\subseteq B\), which statement about their complements is true?

Class 10 · Mathematics · Medium

If \(A=\{\emptyset,\{\emptyset\},1\}\), which of the following is not a subset of \(A\)?

Class 10 · Mathematics · Medium

If A = {∅, {∅}}, how many subsets does A have?

Class 10 · Mathematics · Easy

If A = {0, 1, 2, 3}, how many two-element subsets contain 0?

Class 10 · Mathematics · Easy

If A = {x : x ∈ Z, −2 ≤ x < 2}, which of the following sets is equal to A?

Class 10 · Mathematics · Medium

If {1, k} ⊆ {1, 2, 3}, what is the set of possible values of k?

Class 10 · Mathematics · Medium

If {a, 4} = {2, b} and a ≠ 4, which ordered pair (a, b) is correct?

Class 10 · Mathematics · Easy

If the singleton sets {2a + 1} and {7} are equal, what is the value of a?

Class 10 · Mathematics · Medium

If A ⊂ B and B − A = {9}, how many sets X satisfy A ⊆ X ⊆ B?

Class 10 · Mathematics · Hard

If A has 3 elements, how many ordered pairs (X, Y) are possible such that X ⊆ Y ⊆ A?

Class 10 · Mathematics · Hard

If A has 3 elements, how many proper subsets does P(A) have?

Class 10 · Mathematics · Medium

If A = {1, 2, 3, 4}, how many subsets of A have at least one element?

Class 10 · Mathematics · Easy

If A = {1, 2, 3, 4, 5, 6}, how many subsets can be formed using only the odd elements?

Class 10 · Mathematics · Medium

If A = {2, 3, 5, 7}, how many subsets of A contain both elements 2 and 7?

Class 10 · Mathematics · Easy

If A is the set of even divisors of 24, which of the following is a subset of A?

Class 10 · Mathematics · Easy

If A is the set of prime divisors of 18 and B = {2, 3}, which statement is correct?

Class 10 · Mathematics · Medium

If A △ B = ∅, which conclusion is correct?

Class 10 · Mathematics · Easy

If A − B = ∅, which conclusion is correct?

Class 10 · Mathematics · Easy

If A ∩ B = A, which of the following conclusions is always true?

Class 10 · Mathematics · Easy

If A ∪ B = B, which conclusion is necessarily true?