The smallest value of ${x^2} - 3x + 3$ in the interval $( - 3,\,3/2)$ is

If $x$ be real, the least value of ${x^2} - 6x + 10$ is

The number of non-negative integer solutions of the equations $6 x+4 y+z=200$ and $x+y+z=100$ is

If two roots of the equation ${x^3} - 3x + 2 = 0$ are same, then the roots will be

The number of distinct real roots of the equation $|\mathrm{x}+1||\mathrm{x}+3|-4|\mathrm{x}+2|+5=0$, is ...........

Let $a$ ,$b$, $c$ , $d$ , $e$ be five numbers satisfying the system of equations

                            $2a + b + c + d + e = 6$
                            $a + 2b + c + d + e = 12$
                            $a + b + 2c + d + e = 24$
                            $a + b + c + 2d + e = 48$
                            $a + b + c + d + 2e = 96$ ,

then $|c|$ is equal to