List of top Mathematics Questions on Operations on Sets asked in KEAM

Let $A$ and $B$ be two subsets of a universal set $U$. If $n(U) = 116$, $n(A \cup B) = 99$, $n(B) = 61$ and $n(A \cap B) = 28$, then $n(A')$ is equal to

Let A and B denote the sets of students in a school who play cricket and football respectively. If \(n(A) = 45, n(B) = 35\) and \(n(A \cap B) = 13\), then \(n((A \cap B)' \cap (A \cup B))\) =

Two finite sets $A $ and$ B $ have m and n elements respectively. If the total number of subsets of $A $ is 112 more than the total number of subsets of $B$, then the value of m is