Question

If green flags are flown on poles 2 and 6, which of the following can be true?

• A. \( \text{A green flag is flown on pole 1.} \)
• B. \( \text{A green flag is flown on pole 5.} \)
• C. \( \text{A white flag is flown on pole 3.} \)
• D. \( \text{A white flag is flown on pole 4.} \)
• E. \( \text{A yellow flag is flown on pole 4.} \)

Hint:

Check non-adjacency and pole 3 rule.

Answer 1

The Correct Option is C

Step 1: Green on 2 and 6, 1 green remains, no green on 3, green cannot be adjacent.
Step 2: 1, 4, 5, 7 for remaining green; 1G next to 2G fails, 4G next to 3 (no green) and 5, 5G next to 4 and 6G fails.
Step 3: 7G works (e.g., 1Y, 2G, 3W, 4Y, 5W, 6G, 7G); 3W fits as 3 cannot be green.
Step 4: (C) can be true; others fail (A: 1G adjacent to 2G, B: 5G adjacent to 6G, D/E: 4 conflicts with adjacency).