Random Puzzles 

Workings

Hint
The words are all vegetables.

Answer
Caehikort, which is an anagram of artichoke.

The others all begin with the letter C: celery, carrot, cabbage, and cauliflower.

Workings

Hint
Which painting won, and who came first?

Answer
#  Name     Artist
1  Alex     Monet
2  Emery    Constable
3  Glen     Van Gogh
4  Drew     Taylor
Reasoning
The four entrants were: Alex, Drew, Emery, Glen.
The four artists were: Constable, Monet, Taylor, Van Gogh.

By (2), the Monet came first.
   1           Monet
   2 
   3 
   4 

By (3), Glen came third.
   1           Monet
   2
   3  Glen
   4

By (1), the Constable can't have been last, so must have been second (as Emery painted it, and not Glen).
   1           Monet
   2           Constable
   3  Glen
   4

The Taylor was either third or fourth, either way, by (4) Alex must have won.
   1  Alex     Monet
   2           Constable
   3  Glen
   4

By (4), the Van Gogh came third, leaving Drew in last place.
   1  Alex     Monet
   2           Constable
   3  Glen     Van Gogh
   4  Drew

Leaving Emery in second place, and the Taylor in last place.
   1  Alex     Monet
   2  Emery    Constable
   3  Glen     Van Gogh
   4  Drew     Taylor

Workings

Hint
What abilities do each of these birds have?

Answer
Ostrich.

Because it is the only one which cannot fly.

Workings

Hint
The last word is AGAIN.

Answer
Humpty Dumpty sat on a wall.
Humpty Dumpty had a great fall.
All the king's horses and all the king's men
Couldn't put Humpty together again.