Narayanganj Higher Secondary 2014 P7
Posted: Mon Feb 18, 2019 7:57 pm
Alice saw that in Wonderland, people used as many digits of numbers as the number of days. That is, after counting $0,1,2,3,4,5,6$ they count $10$ to mean $7$ and so on. Now for as many days Alice lived there, $n^2$ flowers blossomed on the $n^{th}$ day. So after one day there was $1$ flower, after two days there were $1+4=5$. Before returning to Earth, she saw that there were $1241$ flowers according to the people of Wonderland. How many days did she stay there from the point of view of Earth people?