Random Puzzles 

Workings

Hint
A little bit of algebra might help.

Answer
64 pounds.

The head weighs 24 pounds, the body weighs 32 pounds, and the tail weighs 8 pounds.

Reasoning
The trout is made up of the head, body and tail, H, B and T.

We are told that:

    T = 8

(1) H = T + B ÷ 2

(2) B = H + T

Placing T into (1) and (2) we get:

(3) H = 8 + B ÷ 2

(4) B = H + 8

Using (4) in (3) we get:

    H = 8 + B ÷ 2

(5) H = 8 + (H + 8) ÷ 2

Multiplying (5) by 2 we get:

 2H = 16 + H + 8

 2H = 24 + H

  H = 24

Therefore, by (2):

 B = H + T

 B = 24 + 8

 B = 32

Giving:

 H = 24
 B = 32
 T = 8

And a total of 24 + 32 + 8 = 64 pounds.

Workings

Hint
Try removing the spaces between the numbers.

Answer
48 and 11.

Reasoning
These are the squares of numbers without the correct spacing.

   1 4 9 16 25 36 49 64 81 100

with no spaces becomes:

   149162536496481100

broken into blocks of two:

   14 91 62 53 64 96 48 11 00

So the next two in the sequence are 48 and 11.

Workings

Hint
Where was Dave standing when he fell?

Answer
Dave fell off the very bottom rung of the ladder!

Workings

Hint
Where did Reed come in game 1?

Answer
Name     #1  #2
Kelly     1   2
Reed      2   1
Jamie     3   4
Sam       4   3

Reasoning
In Game1, (Clue1) Reed beat Jamie, and (Clue3) Jamie beat Sam.

   Game1: Reed, Jamie, Sam

Since (Clue3) Reed won Game2 , and (Clue4) no player got the same placing twice, Reed can't have won Game1, therefore Kelly did.

   Game1: Kelly, Reed, Jamie, Sam

In Game2:
   Reed won (Clue3).
   Sam can't have come last again (Clue4).
   Since Kelly beat Sam (Clue1), Sam can only have come third.

   Game2: Reed, Kelly, Sam, Jamie