Random Puzzles 

Workings

Hint
Look at Billie's statements first.

Answer
Charlie committed the terrible crime.

Reasoning
Looking at Billie's statements, one of the statements was a lie and the other was the truth. Therefore, it must have been either Charlie or Emery.

Looking at Dale's statements, for the same reason, it was either Charlie or Billie.

Therefore, it must have been Charlie who committed the crime.

Double-checking this against the other statements confirms this.

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 first letters of the words are: R, S, D, E, C, W, Z, A, M, D.

Answers
Rabbit Squirrel Donkey Elephant Cat Weasel Zebra Aardvark Mouse Dog

Workings

Hint
Don't forget rooms 440-449.

Answer
120 times.

Reasoning
Don't forget rooms 440-449, especially room 444.

400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499.