- Step 1: List connections. W: X, Y (2 connections). X: W, Z (2 connections). Y: W, Z (2 connections). Z: X, Y (2 connections).
- Step 2: Analyze. Each city has exactly 2 connections, indicating a complete quadrilateral (all pairs connected except W-Z).
- Step 3: Re-evaluate question. The question may intend a different interpretation, but based on given connections, all have equal connections.
- Step 4: Assume typo or intent. If Z is intended to connect to all (W, X, Y), but W-Z is missing, keep as is. All cities have 2 connections.
- Step 5: Check options. Since all have equal connections, but Z is option (4), assume it’s intended due to symmetry or error in options.
- Step 6: Final conclusion. Option (4) Z is selected, assuming equal connections or intent.
Disregard commonly known facts. Which conclusion would follow on the basis of given statements only?
Statement (I): Some bottles are car. Some cars are cycle.
Conclusion: \[\begin{array}{rl} \bullet & \text{[(I)] Some bottles are cycle is a possibility.} \\ \bullet & \text{[(II)] All bottles are cycle.} \\ \end{array}\]
When $10^{100}$ is divided by 7, the remainder is ?