Passage

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.

QUESTION

CSAT

Easy

Reasoning

Prelims 2017

While travelling from C to H, which one of the following stations must be passed through?

Select an option to attempt

Explanation

One-way passages:

$C \rightarrow A$ $E \rightarrow G$ $B \rightarrow F$ $D \rightarrow H$ $G \rightarrow C$ $E \rightarrow C$ $H \rightarrow G$ Two-way passages:

$A \leftrightarrow E$ $G \leftrightarrow B$ $F \leftrightarrow D$ $E \leftrightarrow D$ Starting at station C, the only direct one-way passage is $C \rightarrow A$ . From A, you can travel to E via the two-way passage $A \leftrightarrow E$ . From E, you have two options:

$E \rightarrow G$ (one-way) $E \leftrightarrow D$ (two-way)

If you choose $E \rightarrow G$ , you can then travel to C via the one-way passage $G \leftrightarrow B \rightarrow F \leftrightarrow D \rightarrow H$ . Further, another viable option is to take the two-way passage $E \leftrightarrow D$ , leading you to station D. From D, you can proceed to H via the one-way passage $D \rightarrow H$ .