Random Puzzles 

Workings

Hint
Remember that there are 12 inches in a foot.

Answer
I asked for 9 foot 2 inches (110 inches) and my friend brought me 2 foot 9 inches (33 inches).

Reasoning
I asked my friend to buy me A feet and B inches, which is a total of 12A + B inches.

He accidentally bought me B feet and A inches, which is 12B + A inches.

We know that 12B + A is actually only 30% of what I wanted, so:

     12B + A = 0.3 x (12A + B)

Multiply throughout by 10:

  120B + 10A = 3 x (12A + B)

  120B + 10A = 36A + 3B

        117B = 26A

           B = 26A ÷ 117

Don't forget that A and B can only be integers, and between 0 and 11.

Since 26 x A has to be at least 117, the lowest possible value for A is 5. We can check the remaining possibilities.
 5 x 26 = 130
 6 x 26 = 156
 7 x 26 = 182
 8 x 26 = 208
 9 x 26 = 234 (*)
10 x 26 = 260
11 x 26 = 286

The only number wholly divisible by 117 is 234, which means that A = 9, and B = 2.

So, I originally asked for 9 feet 2 inches.

Workings

Hint
The answer is something to do with time.

Answer
The order is based on the length of day of the planet in Earth hours and days.

Jupiter has the shortest day (≈ 9 Earth hours), and Venus has the longest day (≈ 243 Earth days).

Workings

Hint
Quite a tricky little puzzle!

Answer
I commissioned an artist to paint a sign for BrainBashers that said "BrainBashers Puzzles And Illusions", however, they made a terrible mistake.

The gaps between 'Puzzles' and 'And', and 'And' and 'Illusions' weren't the same, so the sign seemed oddly out of balance.

Workings

Hint
The sequence is related to 1, 2, 3, 4.

Answer
20.

Each term's initial letter position in the alphabet:

1 = One = O = 15^th letter.
.
.
4 = Four = F = 6^th letter.
.
.
.
20 = Ten = T = 20^th letter.