CAT (QA) PYQs

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

The number of distinct real values of x, satisfying the equation.

max {x, 2} - min {x, 2} $= |x + 2| - |x − 2|$, is

If x and y are real numbers such that $|x| + x + y = 15$ and $x + |y| - y = 20$, then $(x - y)$ equals