Random Puzzles 

Workings

Hint
The number is less than 20.

Answer
8.

Reasoning
We need a number (N) such that:

2 x N = 14 +  N
             ———
              4

Multiply throughout by 4 to give:

8 x N = 56 + N

So:

7 x N = 56

So N = 8.

Double-Checking
Its double is 16.

Its quarter is 2.

So its double is fourteen more than its quarter.

Workings

Hint
There are two sequences merged.

Answer
10.

Reasoning
There are two sequences mixed together.

0 1 2 3 4 5

and

0 2 4 6 8 ?

Workings

Hint
A fathom is 6 feet.

Answer
Hours in a month.

Reasoning
A fathom is 6 feet, which is 1.8288 metres.

So there are 1000 ÷ 1.8288 ≈ 546.8 fathoms in a kilometre.

The shortest month has 28 x 24 hours = 672.

So even the shortest month has more hours than there are fathoms in a kilometre.

Workings

Hint
Try fixing the number of children to see what happens.

Answer
92.

With 149 men and 259 women. The best way is to fix the number of children and play around with the numbers of the men and women to see what happens as these are changed. It soon becomes apparent how changing the children changes the answer and 92 is soon found.