Random Puzzles 

Workings

Hint
Look down?

Answer
O.

Every other letter from the top row of a standard keyboard.

Workings

Hint
The number is less than 100.

Answer
4.

4's double is 8, and 4's quarter is 1.

Reasoning
If the missing number is N, then:

  2N = N + 7
       —
       4

Multiply throughout by 4:

  8N = N + 28

Subtract N from both sides:

  7N = 28

Divide throughout by 7:

   N = 4

Workings

Hint
They all end in IST.

Answer
Choose from: anthologist, pathologist, phonologist, protagonist.

Workings

Hint
Think of the phrase 'my bucket and spade'.

Answer
In the phrase 'my bucket and your spade', the gap between 'my' and 'and' is the same as the gap between 'and' and 'spade', namely one word.

Indeed, this logic can be continued to give the following sentence. In the first sentence the gap between 'and and' and 'and and' is seven words, et cetera.