Answer:
Option E
Explanation:
Let the length of the train $A$ be $x$ metres.
II. These trains are running in opposite directions.
III. Length of the train $B$ is $180$ m.
I. Time taken by $A$ to cross $B$ $=\frac{(180+x)}{Relative\quad speed}$ $\Rightarrow 18$ $=\frac{(180+x)}{Relative\quad speed}$
Thus, even with I, II and III, the answer cannot be obtained.
$\therefore$ Correct answer is (E).