Random Puzzles 

Workings

Hint
Is there a missing letter?

Answer
Attempts.

This word contains the only letter E in the entire paragraph, notice how every other letter appears at least once.

Although the letters C, E, J, Q, V, X each all appear once, the longer the piece of text the more difficult it is to avoid the letter E.

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.

Workings

Hint
How many days separate the two dates?

Answer
18 days.

Reasoning
There are 140 days between the two dates, and these 140 days are split in the following way:

   4 x Answer | 50 days | Answer

We already know about 50 days, so we have to split the remaining 90 days into the ratio 4:1, which is 72:18.

   72 days | 50 days | 18 days

Workings

Hint
Some might argue that this isn't a puzzle.

Answer
Half way, after which it would be running out!