CAT (QA) PYQs

The number of solution to the equation $|x|(6x^2 + 1) = 5x^2$ is

The area of the quadrilateral bounded by the $Y$-axis, the line $x=5$, and the lines $|x-y|-|x-5|=2$, is

For a real number x the condition $|3x - 20| + |3x - 40| = 20$ necessarily holds if