Random Puzzles 

Workings

Hint
Could Alex Ambleton have won?

Answer
Taylor Tripton won with Midday Night.

Reasoning
Before we begin the reasoning, let's look at the hint: 'Could Alex Ambleton have won?'. There are three horses in the puzzle, and Alex Ambleton is stated to have won with all three of them. We know that none of the statements were fully true, so Alex couldn't have won otherwise one of the statements would have been fully true.

However, we don't need the hint to solve the puzzle.

By grouping the clues together, we have:

1. Frankie Flanton won with Morning Sunset.
2. Frankie Flanton won with Evening Sunrise.
3. Frankie Flanton won with Evening Sunrise.

4. Sam Spinton won with Midday Night.
5. Sam Spinton won with Midday Night.
6. Sam Spinton won with Midday Night.
7. Sam Spinton won with Morning Sunset.

8. Taylor Tripton won with Morning Sunset.
9. Taylor Tripton won with Evening Sunrise.

10. Alex Ambleton won with Midday Night.
11. Alex Ambleton won with Morning Sunset.
12. Alex Ambleton won with Evening Sunrise.

We know that none of these statements were fully true, so, we know that (for example) it wasn't Frankie Flanton with Morning Sunset.

We can create a grid of all the possibilities and place an X where we know that it can't have been that combination:

We now have an X for all but 3 possibilities, and we know that exactly 6 of the clues must be half true.

So …

… if it was Frankie Flanton with Midday Night then exactly 7 clues would be half true (clues 1, 2, 3, 4, 5, 6, 10).

… if it was Sam Spinton with Evening Sunrise then exactly 8 clues would be half true (clues 4, 5, 6, 7, 2, 3, 9, 12).

… if it was Taylor Tripton with Midday Night then exactly 6 clues would be half true (clues 8, 9, 4, 5, 6, 10), and this must be the correct answer.

Workings

Hint
Try working backwards.

Answer
15.

Reasoning
One quarter of 360 is 90.

One third of 90 is 30.

One half of 30 is 15.

Workings

Hint
It doesn't matter how far it was to Manchester, so you can use any distance.

Answer
Billie.

Reasoning
If we call the one way distance T, we know that:

On the way there, Alex drove 90 miles, and Billie drove (T – 90) miles.

On the way back, Alex drove (T – 100) miles, and Billie drove 100 miles.

So, in total, both ways:

   Alex drove 90 + (T – 100)
      = T – 10

   Billie drove (T – 90) + 100
      = T + 10

Therefore, Billie drove 20 miles more than Alex.

Workings

Hint
There are many answers, however, Z doesn't appear very often.

Answers
Choose from: luxury, struts, stylus, syrupy, trusts, twisty.

Other less common words include: scuzzy, syrups, syzygy, trouty, trusty, tryout, trysts.