Mathematics
Equal sets and Subsets
Practice questions
If A △ B = ∅, which conclusion is correct?If A is the set of prime divisors of 18 and B = {2, 3}, which statement is correct?If A is the set of even divisors of 24, which of the following is a subset of A?If A has 3 elements, how many ordered pairs (X, Y) are possible such that X ⊆ Y ⊆ A?If A ⊂ B and B − A = {9}, how many sets X satisfy A ⊆ X ⊆ B?If {1, k} ⊆ {1, 2, 3}, what is the set of possible values of k?If A = {0, 1, 2, 3}, how many two-element subsets contain 0?If A = {∅, {∅}}, how many subsets does A have?If \(A=\{\emptyset,\{\emptyset\},1\}\), which of the following is not a subset of \(A\)?Assertion: If \(A\subset B\), then \(\mathcal{P}(A)\subset \mathcal{P}(B)\). Reason: Every subset of \(A\) is also a subset of \(B\), and \(B\) itself is in \(\mathcal{P}(B)\) but not in \(\mathcal{P}(A)\). Choose the correct option.If \(A=\{x:x^2-7x+12=0\}\) and \(B=\{3,4\}\), which relation is correct?If \(A=\{1,1,2,2,3\}\) and \(B=\{3,2,1\}\), which statement is true?If A = {p, q} and B = {p, q, r, s}, how many sets X satisfy A ⊂ X ⊆ B?If A = {∅, 2}, which of the following is both an element of A and a subset of A?If A = {∅, {∅}, 3}, which of the following is a subset of A but not an element of A?If \(A\cup B=A\), which conclusion is always true?If \(A\cap B=B\), which of the following statements is true?If \(A\setminus B=A\), what conclusion about \(A\) and \(B\) is correct?If \(\mathcal{P}(A)\subseteq\mathcal{P}(B)\), which conclusion is correct?If A = {1, 2, 3} and B = {2, 3, 4}, which set is equal to A ∩ B?