A number has 6 different digits. If the last digit is moved to the front, then a new number is formed which is exaclty 5 times the old number. With which number did we start?

Four little gnomes are on one side of a scary wood. They have to travel through the wood to the other side. They can only do this safely if they have some light. Together they carry only one small candle. Unfortunately this candle only gives enough light for two gnomes. Some of the gnomes can walk faster than others. One of them can at fastest walk to the other side in 1 minute, one in 2 minutes, one in 5 minutes and the slow one in 10 minutes. If two gnomes are on the other side of the wood, one of course has to go back to bring the candle. If the gnomes go to the other side as quickly as possible, how much time does it take them in total?

I lived in a city that held as much as it could,
So I moved to another that repaid what it should.
The third had very little, with not much to be found,
The fourth was very boring, with no change in the sound.
The fifth was a jungle; wild beasts roamed the in street,
The sixth was so foggy you could not see past your feet.
The seventh was on the move; I could barely keep the pace,
The eighth was so evil; a whole city in disgrace.
The ninth was off-center; the people were bizarre,
The tenth was quite truthful; where honesty is par.
The eleventh was so wise; the acumen hurt my brain,
So I settled in a twelfth, because it was so plain.