Random Puzzles 

Workings

Hint
Take a close look at some of the letters.

Answer
Edward.

The last letters are in alphabetical order, so Edward should be the 4^th name, and not the 6^th.

Workings

Hint
How many pieces on the top layer had two sides with icing?

Answer
15 pieces.

Reasoning
On each layer there are 4 pieces with exactly two sides of icing.

Therefore Kevin ate 12 pieces, leaving 15 for the guests.

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
If Alex had committed the crime, how many lies would there be?

Answer
Chris committed the crime.

Reasoning
We know that exactly 4 lies were told.

If it was Alex, then 3 lies would have been told (by those who said it wasn't Alex).

If it was Billie, then 2 lies would have been told.

If it was Chris, then 4 lies would have been told.

If it was Drew, then 3 lies would have been told.

If it was Emery, then 3 lies would have been told.

If it was Frankie, then 3 lies would have been told.

Therefore, it can only have been Chris.

Double-Checking
Since it was Chris, there were 14 truths, and 4 lies, for a total of 18 clues.