Random Puzzles 

Workings

Hint
This is a well-known sequence.

Answer
R.

Reasoning
The last letter of September.
y = January
y = February
h = March
l = April
y = May
e = June
y = July
t = August
r = September

Workings

Hint
This question involves the months of the year in some way.

Answer
4 3 1.

Reasoning
This is the sequence of the length of the name of the month, and the number of days in that month.

7 3 1 = January, which has 7 letters, and 31 days.

8 2 8 = February, which has 8 letters, and 28 days.

5 3 1 = March, which has 5 letters, and 31 days.

5 3 0 = April, which has 5 letters, and 30 days.

3 3 1 = May, which has 3 letters, and 31 days.

4 3 0 = June, which has 4 letters, and 30 days.

Which means the next three digits are:

4 3 1 = July, which has 4 letters, and 31 days.

Workings

Hint
Try starting with the water.

Answer
This puzzle is a classic one that has no solution in 2D.

However, if you place the items on a doughnut shape in 3D you can solve it.

In the picture below, the electricity is linked to House 3 by going over the top and re-entering through the hole in the middle.

Workings

Hint
One of the names is MEL.

Answer
demi----     + john  = demijohn
---ple       + sam   = sample
absor---t    + ben   = absorbent
he---che     + ada   = headache
sc----r      + anne  = scanner
----ionaire  + bill  = billionaire
break---ce   + dan   = breakdance
monog---     + amy   = monogamy
-----incense + frank = frankincense
s---ly       + mel   = smelly