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Class 10 · Mathematics · Easy

If A = {x}, which of the following is the power set P(A)?

Class 10 · Mathematics · Easy

If a set has 4 elements, how many elements will its power set contain?

Class 10 · Mathematics · Easy

If U = {1, 2, 3, 4, 5} and A = {2, 4}, what is the complement A'?

Class 12 · Mathematics · Easy

What is the correct meaning of a universal set?

Class 10 · Mathematics · Easy

If A = ∅, then what is P(A)?

Class 10 · Mathematics · Easy

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

Class 10 · Mathematics · Easy

The power set P(A) is the set of what?

Class 10 · Mathematics · Easy

If A = {1, 2, 3}, then how many elements are in P(A)?

Class 10 · Mathematics · Medium

If A = {1, 2, 3, 4, 5}, how many subsets contain 2 and do not contain 4?

Class 10 · Mathematics · Medium

If A = {x : x ∈ N and x is a divisor of 18} and B = {1, 2, 3, 6, 9, 18}, what is the correct relation?

Class 10 · Mathematics · Hard

If A = {1, 2, 3}, how many ordered pairs (X, Y) satisfy X ⊆ A, Y ⊆ A, and X ⊆ Y?

Class 10 · Mathematics · Hard

If A = {1, 2, 3, 4}, how many subsets have an even sum of elements?

Class 10 · Mathematics · Easy

Assertion: If n(A) = n(B), then A = B. Reason: Equal cardinality always gives identical elements. Choose the correct option.

Class 10 · Mathematics · Easy

Assertion: If A = B, then A ⊆ B. Reason: Equal sets have exactly the same elements. Choose the correct option.

Class 10 · Mathematics · Medium

Assertion: ∅ ⊆ A is true for every set A. Reason: There is no element in ∅ that is not in A. Choose the correct option.

Class 10 · Mathematics · Easy

Let A = {x ∈ N : x is a divisor of 10} = {1, 2, 5, 10}. Which of the following is not a subset of A?

Class 10 · Mathematics · Easy

If A = {2, 4, 6, 8} and B = {x : x = 2n, n ∈ {1, 2, 3, 4}}, which relation is correct?

Class 10 · Mathematics · Easy

If A ⊆ B, n(A) = 4, n(B) = 4, and both sets are finite, which statement is correct?

Class 10 · Mathematics · Easy

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 · Medium

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