Sets Test - 33...

If $$a\mathbb{N}=(an:n\in \mathbb{N})$$ and $$b\mathbb{N}\cap c\mathbb{N}=d\mathbb{N}$$, where $$a,b,c\in \mathbb{N}$$ and $$b,c$$ are coprime, then

If A and B are finite sets and $$A \subset B$$, then

A college awarded $$38$$ medals in football, $$15$$ in basketball and $$20$$ in cricket. If these medals went to a total of $$58$$ men and only three men got medals in all the three sports. Then the number of students who received medals in exactly two of the three sports, is

The set $$(A\cup B\cup C) \cap (A\cap B'\cap C')\cap C'$$ is equal to?

If $$A/B=\left\{ a,b \right\} ,B\setminus A=\left\{ c,d \right\} $$ and $$A\cap B=\left\{ e,f \right\} $$ then the set $$B$$ is equal to

Let $$X$$ and $$Y$$ be two non-empty sets such that $$X\cap A=Y\cap A=\phi$$ and $$X\cup A=Y\cup A$$ for some non-empty set $$A$$. Then which of the following is true?

If $$A = \left \{(x, y) : x^{2} + y^{2} \leq 1; x, y \epsilon R\right \}$$ and $$B = \left \{(x, y) : x^{2} + y^{2} \geq 4; x, y \epsilon R\right \}$$, then

If $$X = \left \{1, 2, 3, ..., 10\right \}$$ and $$A = \left \{1, 2, 3, 4, 5\right \}$$. Then, the number of subsets $$B$$ of $$X$$ such that $$A - B = \left \{4\right \}$$ is

If $$n(A)=10,n(B)=6$$ and $$(C)=5$$ for three disjoint sets $$A,B,C$$ then $$n(A\cup B\cup C)$$ equals