List of top Mathematics Questions on Sets asked in JKCET

If $ n(P) = 8,n(Q) = 10 $ and $ n(R) = 5 ('n' $ denotes cardinality) for three disjoint sets $ P, Q, R $ then $ n (P \cup Q \cup P ) = $

If $ X=\left\{-2, -1, 0, 1,2,3, 4, 5, 6, 7, 8\right\} $ and $ A=\left\{x : \left|x-2\right|\le3, x \, is\,an\, integer\right\}, $ then $ X-A= $

Let $ A=\{1,\,\,2\,\{a,\,\,b\},\,\,3,\,\,4\}, $ which among the following statements is incorrect?

Suppose $ {{A}_{1}},{{A}_{2}}.....,{{A}_{30}} $ are thirty sets each with five elements and $ {{B}_{1}},{{B}_{2}}.....,{{B}_{n}} $ are 'n' sets each with three elements. Let $ \underset{i=1}{\mathop{\overset{30}{\mathop{\cup }}\,}}\,\,\,{{A}_{i}}=\underset{j=1}{\mathop{\overset{n}{\mathop{\cup }}\,}}\,\,\,\,{{B}_{j}}=S. $ Assume that each element of S belongs to exactly 10 of $ {{A}_{I}}'s $ and exactly 9 of $ {{B}_{j}}'s, $ then the value of $n$ is

A survey shows that $63\%$ of the Americans like cheese where as $76\%$ like apples. If $x\%$ of the Americans like both cheese and apples, then the value of $x$ is