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
The first letters of the words are: N, C, C, C, E, H, O, C, L, M.

Answers
new + sag + ent = newsagent
cro + cod + ile = crocodile
col + lis + ion = collision
cla + ssr + oom = classroom
enc + our + age = encourage
hai + rbr + ush = hairbrush
oth + erw + ise = otherwise
clo + sen + ess = closeness
lig + htn + ing = lightning
mar + gar + ine = margarine

Workings

Hint

Answer
87912.

Workings

Hint
The first word begins with the letter Z.

Answers
-e--a   = zebra   (ZBR) -ui-ar  = guitar  (GT) --ick   = quick   (QU) -a-     = sad     (SD) bo-     = box     (X) -owe-   = vowel   (VL) -on-ey  = monkey  (MK) -el     = eel     (E) ra-     = ray     (Y) ---kage = package (PAC) --ll    = will    (WI) mo--    = moon    (ON) -eap    = heap    (H) -eep    = jeep    (J) -un     = fun     (F)
Alternative Answers
Zebra, guitar, quick, jam, box, vowel, donkey, eel, ray, package, will, moon, heap, seep, fun.

Zebra, guitar, quick, jaw, box, vowel, monkey, eel, ray, package, fill, moon, heap, deep, sun.

Zebra, guitar, quick, lay, box, vowed, monkey, eel, ran, package, will, mojo, heap, seep, fun.

Zebra, guitar, quick, way, box, vowel, monkey, eel, raj, package, sill, moon, heap, deep, fun.

Zebra, guitar, quick, say, box, vowed, monkey, eel, raj, package, hill, moon, leap, weep, fun.

Zebra, guitar, quick, has, box, vowed, monkey, eel, ray, package, will, moon, leap, jeep, fun.

Zebra, guitar, quick, oaf, box, vowel, monkey, eel, ray, package, dill, mown, heap, jeep, sun

Can you find another?