Latest Posts

If A X Y Then The Power Set Of A Is

Solution: (4) A = {x, y} Power set contains all the sets of values of A and all subsets of... View Article

Solution: (5) The factors of 400 and 1000 are given below. 400 = 1, 2, 4, 5, 8, 10, 16,... View Article

If A = {1, 2, 3, 4} and B = {2, 4, 6}. Then, the number of set C such... View Article

Solution: (3) U = x5 – 6x4 + 11x3 – 6x2 = 0 U = x2 (x3 − 6x2 +... View Article

Solution: (2) A ∩ ϕ = ϕ ϕ denotes an empty set. The intersection of an empty set is an... View Article

Solution: (5) A = {(a, b):a2 + 3b2 = 28, a, b ∈ Z} A = {(1, 3), (-1, 3},... View Article

From the figures (i), (ii) and (iii), (A ∪ B ∪ C) (A ∩ BC ∩ CC)C ∩ CC =... View Article

Solution: (2) n[(A x B) ∩ (B x A)] = n [(A ∩ B) * (B ∩ B) * (B... View Article

Solution: (4) A = {1, 2, 3} B = {3, 4} C = {4, 5, 6} (B ∩ C) =... View Article

Solution: (1) Given that: A = {a, b, c}, B = {b, c, d} and C = {a, d, c}... View Article

A survey shows that 63% of the Americans like cheese whereas 76% like apples. If x % of the Americans... View Article

Three sets A, B and C are such that A = B ∩ C and B = C ∩ A,... View Article

Solution: (3) % of families that own a cell phone = 25% % of families that own a scooter =... View Article

Solution: (1) By applying De Morgan’s Law, (A’ ∩ B’) ∪ (A’ ∩ B) By distributive law, A’ ∩ [(B’... View Article

Solution: (3) Given A and B are two sets. A – (A – B) = A − (A ∩ Bc)... View Article

Solution: (3) Consider A = {x ∈ R: 2x – 1 / [x3 + 4x2 + 3x]} [x3 + 4x2... View Article

If S is a set with 10 elements and A = {(x, y) : x, y ∈ S, x ≠... View Article

Solution: (2) A and B are two sets such that A ∩ X = B ∩ X = ϕ and... View Article

Solution: (1) The number of subsets of A consisting of m elements is 112 > the subsets of B having... View Article

If A, B and C are three sets such that A ∩ B = A ∩ C and A ∪... View Article