CAT (QA) PYQs

If $f(x)=(x^2+3x)(x^2+3x+2)$, then the sum of all real roots of the equation $\sqrt{f(x)+1}=9701$, is

The equation $x^3 + (2r + 1)x^2 + (4r - 1)x + 2 = 0$ has $- 2$ as one of the roots. If the other two roots are real, then the minimum possible non-negative integer value of $r$ is

The equations $3x^2 - 5x + p = 0$ and $2x^2 - 2x + q = 0$ have one common root. The sum of the other roots of these two equations is