2096 Olympics Host City Voting Puzzle
Cities in Contention:
Voting Rules:
Voting Table:
Round | Total Votes | Maximum Votes (City) | Votes | Eliminated City | Votes |
---|---|---|---|---|---|
1 | ? | London | 30 | New York | 12 |
2 | 83 | Paris | 32 | Beijing | 21 |
3 | 75 | ? | ? | — | — |
Additional Information:
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 ?