Eight railway stations A, B, C, D, E, F, G and H are connected either by two-way passages or one-way passages. One-way passages are from C to A, E to G, B to F, D to H, G to C, E to C and H to G. Two-way passages are between A and E, G and B, F and D, and E and D.

If the route between G and C is closed, which one of the following stations need not be passed through while travelling from H to C?

Correct Option: A

If the route between G and C is closed, we need to find which station is not required while travelling from H to C. Let's trace the path from H to C. Starting at H, the only outbound passage is H to G. Since the route G to C is closed, from G we must take the two-way route G-B to reach B. From B, the only outbound passage is B to F. From F, we must use the two-way passage F-D to reach D. From D, we cannot go back to H (as it is already visited), so we must take the two-way passage D-E to reach E. From E, we can directly take the one-way passage E to C to reach our destination C. Thus, the only possible complete route is H to G to B to F to D to E to C. The stations visited on this route are G, B, F, D, and E. Station A is not visited at all during this journey. Therefore, station A need not be passed through, which corresponds to Option C.