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Power Set

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf |P(A)| = 32, what is |A|?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A = {a, b, c, d}, how many subsets contain at least one of a or b?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A = {1, 2, 3, 4, 5}, how many subsets contain 1 and exclude 5?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf \(A=\{1,2\}\), \(B=\{1,2,3,4,5,6\}\), how many sets \(X\) satisfy \(A\subseteq X\subseteq B\)?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A = {∅, {∅}, 1}, which of the following sets is an element of the power set P(A) but not an element of A?Class 10SetsPower Set and SubsetsLevel 8Medium MathematicsAssertion: 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.Class 10SetsEqual sets and SubsetsLevel 8Hard MathematicsIf A = {∅, {∅}}, how many subsets does A have?Class 10SetsEqual sets and SubsetsLevel 6Medium MathematicsIf A has 3 elements, how many proper subsets does P(A) have?Class 10SetsPower Set and SubsetsLevel 6Hard MathematicsIf A = {1, 2, 3, 4}, how many subsets of A have at least one element?Class 10SetsPower Set and SubsetsLevel 6Medium MathematicsIf A = {1, 2, 3, 4, 5, 6}, how many subsets can be formed using only the odd elements?Class 10SetsPower Set and SubsetsLevel 8Easy MathematicsIf A = {2, 3, 5, 7}, how many subsets of A contain both elements 2 and 7?Class 10SetsPower Set and SubsetsLevel 8Medium MathematicsIf \(\mathcal{P}(A)=\mathcal{P}(B)\), which conclusion is correct?Class 10SetsEqual sets and SubsetsLevel 8Medium MathematicsIf \(A=B\), which relation between \(\mathcal{P}(A)\) and \(\mathcal{P}(B)\) is true?Class 10SetsPower Set and SubsetsLevel 8Medium MathematicsIf \(A=\{1,2,3\}\), which is an element of \(\mathcal{P}(A)\)?Class 10SetsPower Set and SubsetsLevel 8Easy MathematicsIf A = {p, q, r, s, t}, how many subsets of A do not contain p?Class 10SetsPower Set and SubsetsLevel 8Medium MathematicsIf A = {1, 2, 3, 4}, how many subsets of A contain the element 2?Class 10SetsPower Set and SubsetsLevel 8Medium MathematicsHow many proper subsets does a set with four elements have?Class 10SetsEqual sets and SubsetsLevel 7Medium MathematicsHow many subsets does a set with three elements have?Class 10SetsPower Set and SubsetsLevel 7Medium MathematicsIf A = {∅, {∅}, 1}, which of the following is an element of P(A) but not an element of A?Class 10SetsPower Set and SubsetsLevel 7Hard MathematicsIf A = {1, 2, 3, 4, 5, 6}, how many subsets of A can be formed using only even numbers?Class 10SetsPower Set and SubsetsLevel 7Easy