Random Puzzles 

Workings

Hint
How many minutes are between the times?

Answer
50 minutes.

Reasoning
If we call the number of unknown minutes T.

Between four o'clock and eight o'clock, there are 240 minutes.

There is some point between these two times, before which we have 3 lots of T, and after which we have one lot of T plus 40 minutes.

Therefore, in the 240 minutes, there are 4 lots of T plus 40 minutes.

   240 = 4 x T + 40.

Therefore, T = 50 minutes.

Workings

Hint
There are no larger squares than size 4x4.

Answer
There are 110 squares without a rook.

Reasoning
There are 60 squares of size 1x1.
There are 35 squares of size 2x2.
There are 12 squares of size 3x3.
There are  3 squares of size 4x4.

Giving a total of 60 + 35 + 12 + 3 = 110 squares.

Workings

Hint
The question is written in English, but not in its usual order.

Answer
32.

Reading one letter from the top row and then one from the bottom row, the puzzle reads: 'How many letters does this puzzle have'.

Workings

Hint
Look at the first few characters of each word.

Answer
augment.

The first three letters are the same as the first three letters of the months in order.