Random Puzzles 

Workings

Hint
A beetle has six legs, a spider has eight legs, and a mouse has four legs.

Answer
102 animals, 34 of each.

Reasoning
As there are the same number of each animal, for every beetle, spider, and mouse counted, there are a total of 18 legs.

612 ÷ 18 = 34 of each animal.

Which gives a total of 34 x 3 = 102 animals.

Workings

Hint
The first letters of the words are: A, P, T, I, P, U, A, R, R, W, D, C, R, B, E.

Answers
----nst = against ----nip = parsnip ----fth = twelfth ----rno = inferno ----dox = paradox ----sil = utensil ----nac = almanac ----iem = requiem ----arb = rhubarb ----ior = warrior ----bey = disobey ----van = caravan ----ipt = receipt ----dth = breadth ----nox = equinox

Workings

Hint
Can the fractions be simplified?

Answer
667.

Reasoning
3      8      1
—  of  —  of  —  of 2001
4      9      2

which simplifies to:
24
——  of 2001
72

which simplifies to:
1
—  of 2001
3

Giving 667.

Workings

Hint
There are two sequences.

Answer
26.

There are two alternate series, starting with the first two numbers, and each formed by doubling the preceding number in its own series and subtracting 2.