Set theory practice · Easy

If $P$ is the set of all parallelograms, and $T$ is the set of all trapeziums, then $P \cap T$ is

If $A=\left\{x: x^2-5 x+6=0\right\}, B=\{2,4\}, C=\{4,5\},$ then $A \times(B \cap C)$ is

The intersection of all the intervals having the form $\left[1+\frac{1}{n}, 6-\frac{2}{n}\right]$, where $n$ is a positive integer is

Let $S=\left\{x \in[-6,3]-\{-2,2\}: \frac{|x+3|-1}{|x|-2} \geq 0\right\}$ and $T=\left\{x \in \mathbb{Z}: x^2-7|x|+9 \leq 0\right\}$. Then the number of elements in $S \cap T$ is

If $N_a=\{a n: n \in N\}$, then $N_5 \cap N_7=$

If ${A_1},{A_2}, \ldots ,{A_{100}}$ are sets such that $n\left( {{A_i}} \right) = i + 2,{A_1} \subset {A_2} \subset {A_3} \ldots \subset {A_{100}}$ and $\cap _{i = 3}^{100}{A_i} = A,$ then $n\left( A \right) =$

If $A=\left\{x \in \mathbb{C}: x^2=1\right\}$ and $B=\left\{x \in \mathbb{C}: x^4=1\right\}$, then $A \Delta B$ is equal to

If $A \subseteq B$, then $B \cup A$ is equal to

If the sets $A$ and $B$ are defined as:
$\begin{aligned} & A=\left\{(x, y): y=e^x, x \in R\right\} \\ & B=\{(x, y): y=x, x \in R\}, \text { then } \end{aligned}$

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

Let ${A}=\{2,3,4\}$ and ${X}=\{0,1,2,3,4\}$, then which of the following statements is correct

The set of intelligent students in a class is:

In a city 20% of the population travels by car, 50% travels by bus and 10% travels by both car and bus. Then, persons travelling by car or bus is

For any three sets $A, B$ and $C,$ $A \times\left(B^{\prime} \cup C^{\prime}\right)^{\prime}$ equals