Random Puzzles 

Workings

Hint
You might need a periodic table.

Answer
Carbon.

From the elements, in increasing order of atomic number.

Workings

Hint
What is the total number of games played?

Answer
3.

Reasoning
There were 5 teams in the league, and every team played every other, so there were a total of 10 games played:
   Rugby     vs  Grimsby
   Rugby     vs  Hereford
   Rugby     vs  Lichfield
   Rugby     vs  Reading
   Grimsby   vs  Hereford
   Grimsby   vs  Lichfield
   Grimsby   vs  Reading
   Hereford  vs  Lichfield
   Hereford  vs  Reading
   Lichfield vs  Reading

We know that 2 points were allocated for each game played. Which means that there were a total of 20 points over the 10 games.

Since the given results add to 17, the remaining 3 points belong to Reading.

Workings

Hint
Does it start with January?

Answer
28.

The number of days in each month starting from October. The answer could also be 29 for a leap year.

The answer can't be 30, as the question specifically says that the answer is not 30, so it can't be the sequence starting with May.

Workings

Hint
Try working backwards.

Answer
148.

Reasoning
A number that is divisible by 3 has digits that add up to a number that is also divisible by 3 (for example, 123 is divisible by 3).

So we can look for the first number where 4 + 4 + 4 + 4 + 4 + … is divisible by 3, which is 4 + 4 + 4, and 444 ÷ 3 = 148.

Alternative Reasoning
Let's try the possible answers in order:

  4 ÷ 3 = 1.3333
 44 ÷ 3 = 14.6666
444 ÷ 3 = 148

Double-Checking
148 x 3 = 444.