Random Puzzles 

Workings

Hint
A little bit of algebra might help.

Answer
I have 14 apples, and you have 28 apples.

Reasoning
We can work this out with a little algebra. I have A apples, and you have B apples, then
[1]  5 x (A − 7) = B + 7

[2]        A + 7 = B − 7

From [1] we have:

    5A − 35 = B + 7
[3]      5A = B + 42

From [2] we have:

[4]  A + 14 = B

We can then use [4] in [3] to give:

  5A = (A + 14) + 42
  5A = A + 56
  4A = 56
   A = 14

Which gives B = 28 (by [4]).

Workings

Hint
How many watch minutes pass in a real hour?

Answer
8:10am.

Reasoning
The watch now shows 8:26am, so we know that 8 x 60 + 26 = 506 watch minutes have passed.

Since the watch is gaining 6 minutes every hour, for every real hour that has passed, the watch will show 66 minutes.

So, 506 ÷ 66 ≈ 7.666 real hours have passed.

This equals 460 minutes, which is 7 hours and 40 minutes = 7:40am.

The watch stopped 30 minutes ago, therefore the time must now be 8:10am.

Workings

Hint
Why does each column start with A, B, C?

Answer
Chicago.

Reasoning
Look at the letters at the bottom of each stack.

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.