Let $f: R \to R$ be defined by $f(x) = \begin{cases} 2x \text{ for } x \le 3 \\ x^2+1 \text{ for } 3 < x \le 6 \\ 3x \text{ for } x > 6 \end{cases}$ The value of $f(-1) + f(2) + f(4)$ is

The numbers of proper subset of the set $(3, 4, 5, 6, 7)$ is

If $A = (1, 2, 3, 4, 5, 6, 7)$ and $B = (2, 4, 6, 8)$. Cardinal number of $A - B$ is:

$ (A^c)^c = ?$ Note: This que is from matrix (deleted topic).

Two finite sets respectively have $x$ and $y$ number of elements. The total number of subsets of the first is $56$ more than the total number of subsets of the second. The value of $x$ and $y$ respectively.

The set of cubes of the natural number is:

The number of integers from $1$ to $100$ which are neither divisible by $3$ nor by $5$ nor by $7$ is