Random Puzzles 

Workings

Hint
There are lots of vowels.

Answer
A.

This is the vowels AEIOU intermingled with the reverse UOIEA.

Workings

Hint
There are 12 inches in a foot, and 1,760 yards in a mile.

Answer
Feet in a 20-mile walk.

Reasoning
There are 12 inches in a foot, 3 feet in a yard, and 1,760 yards in a mile:

   square inches in a piece of carpet 15 yards by 5 yards
      (15 x 3 x 12) x (5 x 3 x 12) = 97,200 square inches.

   feet in a 20-mile walk
      20 x 1760 x 3 = 105,600 feet.

Workings

Hint
Try working backwards.

Answer
335 strawberries.

Reasoning
Working backwards …

I ended up with 34 strawberries, so I had 102 before giving Charlie two thirds.

I ate 6 myself, so I had 108 before I ate those.

I had 108 strawberries, so I had 162 before giving Billie one third.

I ate 3 myself, so I had 165 before I ate those.

I had 165 strawberries, so I had 330 before giving Alex one half.

Ate 5 myself, so I had 335 before I ate those.

Therefore, I started with 335 strawberries.

Double-Checking
I started with 335.

I ate 5, leaving 330.

I gave Alex half (165), leaving 165.

I ate 3, leaving 162.

I gave Billie one third (54), leaving 108.

I ate 6, leaving 102.

I gave Charlie two thirds (68), leaving 34.

Workings

Hint
Find the weight of the bottle first.

Answer
24 ounces.

The bottle weighs 16 ounces.

Reasoning
As a bottle (B) weighs eight ounces plus half a bottle, we can write this as:
   B = 8 + ¹/₂ x B
  ¹/₂ x B = 8
   B = 16

As the bottle weighs 16 ounces, a bottle and a half weighs 16 + 8 = 24 ounces.