Random Puzzles 

Workings

Hint
Does the number of adults and children matter?

Answer
3,672.

Reasoning
The actual number of adults and children doesn't actually matter.

If all of the people were adults, then half of them (306) would be given 12 sweets:

  306 x 12 = 3672

If all of the people were children, then three quarters of them (459) would be given 8 sweets:

  459 x  8 = 3672

If there were 512 adults (so 256 would get 12 sweets = 3072) and 100 children (so 75 would get 8 sweets = 600):

  256 x 12 + 75 x 8 = 3672

We can change the numbers of adults and children, but it doesn't change the answer.

The reason for this lies in the fact that ¹/₂ adults x 12 sweets = ³/₄ children x 8 sweets (both are 6).

Workings

Hint
Light travels around 186,000 miles each second.

Answer
Miles that light can travel in 3 minutes.

There are 31,536,000 seconds in a typical year, and light can travel about 33,530,831 miles in 3 minutes.

Workings

Hint
Only the first letter is important.

Answer
3,000 miles.

Take the alphabetic position of the first letter, halve, and then multiply by 1000.

You could also multiply by 500 instead.

Double-Checking
F is the 6^th letter of the alphabet, halving gives 3, multiplying by 1000 gives 6000.

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.