If $A$ and $B$ are two sets such that $A$ has $40$ elements,$A \cup B$ has $60$ elements and $A \cap B$ has $10$ elements,how many elements does $B$ have?

The shaded region in the given figure is:

Let $A = \{(x, y) : y = e^x, x \in R\}$ and $B = \{(x, y) : y = e^{-x}, x \in R\}$. Then:

If $A$ and $B$ are two sets,then $A \cap (A \cup B)'$ is equal to

Domain of the function $f(x) = \frac{x - 3}{(x - 1)\sqrt{x^2 - 4}}$ is

In a class of $100$ students, the number of students who passed in English only is $46$, in Maths only is $46$, and in Commerce only is $58$. The number of students who passed in English and Maths is $16$, in Maths and Commerce is $24$, and in English and Commerce is $26$. The number of students who passed in all three subjects is $7$. Find the number of students who failed in all the subjects.