Question

Four cities-W, X, Y, Z-are connected by roads. W is connected to X and Y. X is connected to W and Z. Y is connected to W and Z. Z is connected to X and Y, how many roads are there in total?

• A. 3
• B. 4
• C. 5
• D. 6
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Hint:

For network road counts, list all unique connections, ensuring each pair is counted once, and verify with given connections.

Answer 1

The Correct Option is C

- Step 1: List connections. W-X, W-Y, X-Z, Y-Z, X-Y (since Y connects to X and Z, and X connects to Y). 
- Step 2: Count unique roads. Roads: W-X, W-Y, X-Z, Y-Z, X-Y. Total = 5. 
- Step 3: Verify. Connections: W (X,Y), X (W,Z,Y), Y (W,Z,X), Z (X,Y). Each road is bidirectional, so count each pair once: W-X, W-Y, X-Y, X-Z, Y-Z. 
- Step 4: Match options. 5 roads match option (3). 
- Step 5: Final conclusion. Option (3) 5 is the correct answer.