Aboy is asked to put one mango in a basket when ordered ’One’, one orange when ordered ’Two’, one apple when ordered ’Three’, and is asked to take out from the basket one mango and an orange when ordered ’Four’. A sequence of orders is given as:
1 2332142314223314113234
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 ?