Problem

Passage - 3 (Question 66 to 67): Let

f(x) = \begin{cases} |x|, & -3 \leq x \leq 7 \\ 2x-7, & 7 < x \leq 10 \end{cases}

and

g(x) = 2x + 1, -3 \leq x \leq 10

. If the equation

f(|x|) + g(|x|) = k

, has exactly two distinct real solutions, then the value of

k

cannot be (a) 32 (b) 33 (c) 34 (d) 35