One day, two other traders, Dane and Emily, joined Abdul, Bikram, and Chetan for trading in the shares of XYZ Ltd.
Dane’s strategy: Buy equal numbers of shares at 10 am, 11 am, and 12 noon, and sell the same numbers at 1 pm, 2 pm, and 3 pm.
Emily’s strategy: Buy shares using all her money at 10 am and sell all of them at 12 noon; then buy shares again using all her money at 1 pm and sell all of them at the close of the day at 3 pm.
At the close of the day, the following was observed:
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 ?