Random Puzzles 

Workings

Hint
The word begins with the letter W.

Answer
Water.

Watercolour, watercress, waterfall, waterproof, watershed, waterway.

Workings

Hint
Start by working out the pairings of the flowers.

Answer
Gardener Red
   yellow + blue

Gardener Green
   yellow + red

Gardener Yellow
   blue + green

Gardener Blue
   red + green

Stage 1 – Pairings
First, we work out the possible flower pairings (BGRY = blue, green, red, yellow).

By (8), Y can only be paired with B and R.

   YB YR

By (5), we have RG.

   YB YR RG

By (9) and (10), the remaining pairing can only be BG.

   YB YR RG BG

Stage 2 - Matchings
Next, we match the flower pairings to the gardeners.

By (3), Gardener Red = Y + B

By (1), Gardener Green = Y + R (as YB has already been determined).

By (2), Gardener Yellow = B + G (as this is the only remaining pairing without R).

Leaving, Gardener Blue = R + G.

Workings

Hint
One is the study of fossils.

Answer
Palaeontology, the study of fossils and Limnology, the study of lakes and rivers. There are others you might have chosen.

Workings

Hint
Try working backwards.

Answer
£98.82.

Reasoning
At the end I was left with £32.94, which was half of my remaining money, so before buying the trousers I must have had £65.88.

Again, this was half of my money, so before buying the jacket I must have had £131.76 at the start.

As I now had £32.94 remaining, I must have spent £98.82.

Double-Checking
I started with £131.76, and I spent £65.88 on a new jacket, and then £32.94 on the trousers, a total spend of £98.82.