Medium Puzzles 

Workings

Hint
Look at the piece by Bach, and the single.

Answer
Composer   Format  Length
Beethoven  album   6
Holst      single  7
Bach       CD      8
Butler     DAT     9

Reasoning
By (1), the piece by Bach lasts 8 minutes. By (3), the single lasts 7 minutes.
Composer   Format  Length
                   6
           single  7
Bach               8
                   9

By (4), the piece by Butler is on the DAT tape. But, by (2), this can't be the shortest, so it must be 9 minutes long.
Composer   Format  Length
                   6
           single  7
Bach               8
Butler     DAT     9

By (1), the CD can't be the shortest, so must be 8 minutes long.
Composer   Format  Length
                   6
           single  7
Bach       CD      8
Butler     DAT     9

The album must therefore be 6 minutes long, and by (3) doesn't contain any Holst.
Composer   Format  Length
           album   6
Holst      single  7
Bach       CD      8
Butler     DAT     9

Which means that the album was the piece by Beethoven.
Composer   Format  Length
Beethoven  album   6
Holst      single  7
Bach       CD      8
Butler     DAT     9

Workings

Hint
The first 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.

Joust, queen, ozone, bland, wafer, idiot, mucky, exist, heavy, tough, drier, 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