Sets Questions

Let A₁, A₂, A₃, ..., A₁₀₀ be 100 sets such that n(Aᵢ) = i + 1 and A₁ ⊂ A₂ ⊂ A₃ ⊂ ⋯ A₁₀₀, then ⋃ᵢ₌₁⁶⁰ Aᵢ contains total number of elements as

If A₁ ⊂ A₂ ⊂ A₃ ⊂ ⋯ ⊂ A₅₀, and n(Aᵢ) = i – 1, then n(⋂ᵢ₌₁₁⁵⁰ Aᵢ) is equal to:

If A = {(x, y): x² + y² ≤ 1, x,y ∈ R} and B = {(x, y): x² + y² ≤ 4, x,y ∈ R}, then

Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are:

Which option is representing the given Venn diagram?

If A and B are two sets, then (A – B)∩(B – A)∩(A ∩ B) equals to:

In a town of 10,000 families, it was found that 40% family buy newspaper A, 20% buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3% families buy B and C and 4% buy A and C. If 2% families buy all 3 newspapers, then find the

If A = ϕ then what will be the value of n(P(A))?

Two finite sets have m and n elements respectively. The total number of subsets of first set is 120 more than the total number of subsets of the second set. The values of m and n respectively are:

If A and B be two sets containing 4 and 7 elements respectively. What can be the minimum and maximum number of elements in A∪B?

If A ⊂ B and B ⊂ C then A ∪ C is equal to

If A = {0,ϕ,{8}}, what will be the number of subsets of P(A)?

The set S = {1,2,3, ...,15} is to be partitioned into three sets A, B, C of equal size. Thus A ∪ B ∪ C = S, A ∩ B = B ∩ C = A ∩ C = ϕ. What is the number of ways to partition S?

If n(A) = 5, n(B) = 10 and n(C) = 20 for three disjoint sets A, B and C, then what is the value of n(A∪B∪C)?

If A and B are two given sets, then A ∩ (A ∩ B)’ is equal to