- Roy is heavier than Abhishek.
- Both Roy and Abhishek are taller and heavier than Das.
Therefore, Das is shorter and lighter than both Roy and Abhishek.
- Vivek is lighter than Abhishek.
- Ranjan is heavier than Das but shorter than Das.
- Given that Roy is heavier than Das, the statements imply Abhishek is taller than Roy.
- Vivek is heavier than Ranjan.
- Das is lighter than Roy and Abhishek.
- Ranjan is heavier than Das.
- Vivek is lighter than Abhishek but still heavier than Das (since Das is the lightest overall).
\[ \boxed{\text{Das}} \]
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 ?