Random Puzzles 

Workings

Hint
Start by looking at where Alex finished, and where the person who wore #3 finished, and then use clue (6).

Answer
Pos Name   Wore    Colour
1   Alex   #2      red
2   Glen   #3      yellow
3   Stevie #1      green
4   Drew   #4      blue

Reasoning
The four colours were: blue, green, red, yellow.
The four contestants were: Alex, Drew, Glen, Stevie.

By (1), Alex was first.
   1   Alex
   2
   3
   4

By (4), the person who was second wore number #3.
   1   Alex
   2          #3
   3
   4

Looking at (6):
 - first place (Alex) can't have worn #1, because, by (3), Stevie wore #1
 - second place wore #3
 - third place can't have worn #3, because it was worn by second place
 - fourth place is the only entrant who could have worn the same number as their final position

Therefore, Stevie finished in third, and Alex wore #2.
   1   Alex   #2
   2          #3
   3   Stevie #1
   4          #4

By (2), Alex wore red. By (3), the person wearing blue was last.
   1   Alex   #2      red
   2          #3
   3   Stevie #1
   4          #4      blue

By (5), yellow beat green.
   1   Alex   #2      red
   2          #3      yellow
   3   Stevie #1      green
   4          #4      blue

By (4), Glen beat Stevie.
   1   Alex   #2      red
   2   Glen   #3      yellow
   3   Stevie #1      green
   4          #4      blue

Leaving Drew in last place.
   1   Alex   #2      red
   2   Glen   #3      yellow
   3   Stevie #1      green
   4   Drew   #4      blue

Workings

Hint
Look at the number of letters in each of the names.

Answer
No.

Those that like walking have an odd number of letters in their name.

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
How old could Glen be?

Answer
Name    Age    Chess  Croquet
Dale    15     3      1
Emery   16     1      4
Frankie 18     2      2
Glen    19     4      3

Reasoning
The possible ages are: 15, 16, 18, 19.

Breaking the clues down, and numbering them:
Frankie beat Glen in chess. Dale came third (chess). The 16-year-old won (chess). Frankie came second in croquet. The 15-year-old won (croquet). Dale beat the 18-year-old (croquet). The 19-year-old came third (croquet). Emery is 3 years younger than Glen. The person who came last in chess came third in croquet. Only one person got the same position in both games.
By (4), Frankie came 2^nd in croquet.
Name    Age    Chess  Croquet
Dale
Emery
Frankie               2
Glen

By (2), Dale came 3^rd in chess.
Name    Age    Chess  Croquet
Dale           3
Emery
Frankie               2
Glen

By (8), Emery is 15 or 16, and Glen is 18 or 19.

By (9), the person who came 4^th in chess, came 3^rd in croquet, and by (7), they are 19. This can't be Dale (3^rd in chess), or Frankie (2^nd in croquet), or Emery (aged 15 or 16), so it must be Glen.
Name    Age    Chess  Croquet
Dale           3
Emery
Frankie               2
Glen    19     4      3

By (6), Dale can't have been 4^th in croquet, so must be 1^st. Leaving Emery in 4^th.
Name    Age    Chess  Croquet
Dale           3      1
Emery                 4
Frankie               2
Glen    19     4      3

By (10), only one person got the same position in both games, this can't be Emery 4^th in both (as Glen is already 4^th in chess), so must be Frank, 2^nd in both. Leaving Emery 1^st in chess.
Name    Age    Chess  Croquet
Dale           3      1
Emery          1      4
Frankie        2      2
Glen    19     4      3

By (3) and (5) we know the ages of the winners in each competition, and Frankie is therefore 18.
Name    Age    Chess  Croquet
Dale    15     3      1
Emery   16     1      4
Frankie 18     2      2
Glen    19     4      3