Random Puzzles 

Workings

Hint
Does ONE work, does TWO work? How many E's are there already?

Answer
Twelve.

"Cleverly, there are exactly twelve E's in this sentence."

Workings

Hint
How many mice does one cat catch?

Answer
Six mice.

  1.5 cats catch 1.5 mice in 1.5 days.

so

  1 cat catches 1 mouse in 1.5 days.

  1 cat catches 2 mice in 3 days.

Therefore

  3 cats catch 6 mice in 3 days.

Workings

Hint
One inch = 25.4 mm.

Answer
Millimetres in a mile.

Reasoning
One inch = 25.4 mm.

So:

1 mile = 1760 yards = 1760 x 3 feet = 1760 x 3 x 12 inches = 1760 x 3 x 12 x 25.4 millimetres = 1,609,344 mm in 1 mile.

And:

2 kilometres = 2000 metres = 2000 x 100 centimetre = 2000 x 100 x 10 millimetres = 2000 x 100 x 10 ÷ 25.4 inches = 2000 x 100 x 10 ÷ 25.4 x 16 = sixteenths of an inch ≈ 1,259,843 sixteenths of an inch in 2 kilometres.

Workings

Hint
How many toys can one kitten catch in twelve minutes?

Answer
36 toys.

Reasoning
Four kittens can catch four toys in four minutes,

so, one kitten can catch one toy in four minutes,

so, one kitten can catch three toys in twelve minutes,

so, twelve kittens can catch 36 toys in twelve minutes.