Random Puzzles 

Workings

Hint
The word begins with the letter A.

Answer
Ask.

tasked basket flask casket mask

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
This is a very common sequence.

Answer
X.

The last letters of the words one, two, three, four, five, six.

Workings

Hint
Sometimes the easiest explanations are the best.

Answer
The other end of the rope is not tied to anything!