Random Puzzles 

Workings

Hint
Try reversing the numbers.

Answer
891.

If we reverse each of the numbers we get:

   203 202 201 200 199 ?

Which is counting down from 203, and the next number is 198, which is 891 when reversed.

Workings

Hint
There is more than one answer.

Answers
Common words:

hate, late, lane, lone, love
hate, have, hive, live, love
hate, date, dote, dove, love
hate, rate, rote, rove, love
hate, have, wave, wove, love
hate, have, cave, cove, love

Less common words

hate, late, lave, love
hate, have, hove, love
hate, mate, mote, move, love

Workings

Hint
Start by filling the 11 gallon container.

Answer
Here are the contents of the containers after each stage:
A  B
0  11  fill B
7  4   fill A from B
0  4   empty A
4  0   fill A from B
4  11  fill B
7  8   fill A from B
0  8   empty A
7  1   fill A from B
0  1   empty A
1  0   fill A from B
1  11  fill B
7  5   fill A from B
0  5   empty A
5  0   fill A from B
5  11  fill B
7  9   fill A from B
0  9   empty A

This leaves 9 gallons in container B.

Workings

Hint
The answer involves the alphabet in some way.

Answer
Edward.

Reasoning
The last letters of the names are in alphabetical order.
  Joshu-a
   Cale-b
    Eri-c
* Edwar-d
   Vinc-e
   Clif-f
   Crai-g