Medium Puzzles 

Workings

Hint
The 1^st word begins with the letter J.

Answers
--ust = joust (JO) -ue-n = queen (QE) o-o-e = ozone (ZN) --and = brand (BR) -a-er = water (WT) id-o- = idiom (IM) -uc-y = lucky (LK) e-i-t = exist (XS) hea-- = heavy (VY) tou-- = tough (GH) -rie- = fried (FD) -ry-t = crypt (CP) h-m-n = human (UA)
Alternative Answers
Joust, queen, ozone, brand, wafer, idiom, lucky, exist, heavy, tough, tried, crypt, human.

Can you find another?

Workings

Hint
Could Alex have come first or second in any event?

Answer
   Vault  Beam   Floor
#1 Emery  Chris  Billie
#2 Chris  Billie Emery
#3 Alex   Emery  Chris
#4 Billie Alex   Alex

Reasoning
By (1), Chris came third on the floor. By (6), Billie came last in the vault.
   Vault  Beam   Floor
#1
#2
#3               Chris
#4 Billie

By (2), the athlete who came second in the vault won the beam event, let's mark these as X.
By (3), the athlete who came second on the beam won the floor, let's mark these as Y.
By (5), the athlete who won the vault came second on the floor, let's mark these as Z.
   Vault  Beam   Floor
#1  Z      X      Y
#2  X      Y      Z
#3               Chris
#4 Billie

By (4), Emery beat Alex in every event, therefore Alex can't have won any event, nor come second (because of X, Y, and Z). So, Alex came third on the vault, and last on the floor.
   Vault  Beam   Floor
#1  Z      X      Y
#2  X      Y      Z
#3 Alex          Chris
#4 Billie        Alex

Looking at the vault, Z can't be Chris because Z came second on the floor (but we know Chris came last). So, Z must be Emery, and X is Chris.
   Vault  Beam   Floor
#1 Emery  Chris   Y
#2 Chris   Y     Emery
#3 Alex          Chris
#4 Billie        Alex

Looking at the floor, Y is Billie.
   Vault  Beam   Floor
#1 Emery  Chris  Billie
#2 Chris  Billie Emery
#3 Alex          Chris
#4 Billie        Alex

By (4), Emery beat Alex on the beam.
   Vault  Beam   Floor
#1 Emery  Chris  Billie
#2 Chris  Billie Emery
#3 Alex   Emery  Chris
#4 Billie Alex   Alex

Workings

Hint
The first letters of the words are: A, C, D, D, I, L, M, N, P, R.

Answers
acq + uit + tal = acquittal
con + duc + tor = conductor
dec + kch + air = deckchair
dif + fer + ent = different
imp + ort + ant = important
lig + htn + ing = lightning
myt + hol + ogy = mythology
new + sag + ent = newsagent
pol + ice + man = policeman
rec + tan + gle = rectangle

Workings

Hint
Draw a grid of the two colours each gardener could have.

Answer
Name
   Rose1
      Rose2

Gardener Blue
   red
      green

Gardener Green
   yellow
      red

Gardener Red
   blue
      yellow

Gardener Yellow
   blue
      green

Reasoning
We can create a grid of the possible flowers each person could have. Initially, they each have the possibility of BGRY (blue, green, red, yellow) and as we work our way through the clues we can eliminate certain options.
Person  F1     F2
Blue    BGRY   BGRY
Green   BGRY   BGRY
Red     BGRY   BGRY
Yellow  BGRY   BGRY

From (1), (2), (3) and (4) we can reduce the options to:

Blue    BGR BGR
Green   Y   BGRY
Red     B   BRY
Yellow  BGY BGY

By (9) this becomes:

Blue    BGR BGR
Green   Y   BGR
Red     B   RY
Yellow  BGY BGY

By (8) we get:

Blue    BGR BGR
Green   Y   BR
Red     B   RY
Yellow  BGY BGY

Only Blue can satisfy (5), and Yellow is the only person who can have the other G.

Blue    R G
Green   Y BR
Red     B RY
Yellow  G BY

By (8), Yellow can't be Y.

Blue    R G
Green   Y BR
Red     B RY
Yellow  G B

Since there are only two of each colour, we can reduce further:

Blue    R G
Green   Y R
Red     B Y
Yellow  G B