Random Puzzles 

Workings

Hint
One word starts with T and the other with W.

Answer
Tower and wrote.

While captive in the tower, James wrote an entire book.

Workings

Hint
One of the colours is ORANGE.

Answers
Red, olive, orange, pink, corn, indigo, yellow, blue, brown, black, lime, green, pea, plum, violet.

Many inju[red] animals are invited t[o live] at the 'Toront[o Range]'. Sto[p in K]angaroo [Corn]er and marvel at the lovely creatures with[in. Dig o]ver the potato patch to find small furry caterpillars, but don't [yell! Ow]ls can be found swooping fo[r ed]ible nibbles, earwigs or perhaps [blue]bottles in the undergrowth. The [brown] bear, Ro[b, lack]s grace and can look like a sublime o[gre, en]ter at your own risk! [Pea]cocks can be found showing their colourful [plum]age, which looks fantastic when viewed with our ultra[violet] torch.

Workings

Hint
Think of squares and cubes.

Answer
512.

Each term alternates between a square and a cube, 8 3 = 512.

Workings

Hint
How many large pipes are required to drain the reservoir in 24 hours?

Answer
21 hours and 36 minutes.

Reasoning
Looking at the first clue:
   in 12 hours, 6 large pipes can drain 1 reservoir
   in 24 hours, 6 large pipes can drain 2 reservoirs
   (*) in 24 hours, 3 large pipes can drain 1 reservoir

Looking at the second clue:
   in 8 hours, 3 large + 9 small pipes can drain 1 reservoir
   in 24 hours, 3 large + 9 small pipes can drain 3 reservoirs

But, by (*), we know that in those 24 hours, 3 large pipes can drain 1 of those reservoirs.

Therefore, the other 2 reservoirs can be drained by the small pipes on their own:
   in 24 hours, 9 small pipes can drain 2 reservoirs
   in 24 hours, 1 small pipe can drain ²/₉ reservoirs
multiply the hours by 9:
   in 216 hours, 1 small pipe can drain 2 reservoirs
   in 216 hours, 5 small pipes can drain 10 reservoirs
divide the hours by 10:
   in 21.6 hours, 5 small pipes can drain 1 reservoir

21.6 hours = 21 hours and 36 minutes.