BMSAT Kozhikode (QA) PYQs

If one of the roots of the equation $x^2 + ax + 3a = 0$ is $1$, then its other root is

Say for positive quantities a, b, $a + b$ equals $a^2 + ab + b^2$. Choose the nearest value to b if a is given as 0.5.

The zeroes of $ax² + bx + c = 0$ are in the ratio $1:2$ (assume the coefficients to be non-zero). Which of these is one of the zeroes?