Answer
c) is correct.
Work Step by Step
According to the impulse-momentum theorem, the magnitude of impulse is calculated by $$J=|p_f-p_0|$$
In region A and C, we have $|v_3-v_0|=|v_7-v_5|\gt0$, so $J_A=J_C\gt0$
In region B, we have $p_3=p_5$, so $J_B=0$
So, to rank from largest to smallest: $A = B\gt C$.
