Random Puzzles 

Workings

Hint
The first words of the proverbs are Do, Truth, Be, and Think.

Answer
Do not bite the hand that feeds you.

Truth will out.

Be slow in choosing, but slower in changing.

Think first and then speak.

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: P, O, B, C, U, R, D, V, D, D, N, S, B, T, D.

Answers
---cil = pencil ---hid = orchid ---nze = bronze ---ese = cheese ---lug = unplug ---som = ransom ---uxe = deluxe ---uum = vacuum ---arm = disarm ---amo = dynamo ---rby = nearby ---ink = shrink ---sai = bonsai ---too = tattoo ---fen = deafen

Workings

Hint
Light travels around 186,000 miles each second.

Answer
Miles that light can travel in 3 minutes.

There are 31,536,000 seconds in a typical year, and light can travel about 33,530,831 miles in 3 minutes.