Brain Teasers and Puzzles 

Workings

Hint
These are the first letters of the words: A, P, T, I, P, U, A, R, R, W, D, C, R, B, E.

Answer
----nst = against ----nip = parsnip ----fth = twelfth ----rno = inferno ----dox = paradox ----sil = utensil ----nac = almanac ----iem = requiem ----arb = rhubarb ----ior = warrior ----bey = disobey ----van = caravan ----ipt = receipt ----dth = breadth ----nox = equinox

Workings

Hint
Try matching the sock colours to the shoe colours.

Answer
Baba
   Blue socks and Yellow shoes.
Boba
   Yellow socks and Green shoes.
Bilpo
   Green socks and Red shoes.
Babil
   Red socks and Blue shoes.

Reasoning
We had these colours: Red, Blue, Yellow, Green.
We had these clowns: Baba, Boba, Bilpo, Babil.

Let's match sock colours to shoe colours.

By (1) Red socks went with Blue shoes.

By (6) Green socks went with Red shoes.

By (3) Yellows socks must have gone with Green shoes.

Therefore, Blue socks went with Yellow shoes – confirmed with (2).

In summary:
Socks  : Shoes
--------------
Red    : Blue
Green  : Red
Yellow : Green
Blue   : Yellow

By (2) Baba had Blue socks and Yellow shoes.

By (4) Boba didn't have Red socks or Red shoes (and Baba had the Blue socks), so must have had Yellow socks and Green shoes.

By (5) Bilpo's shoes were the same colour as Babil's socks – we only have Red & Green socks left, and Blue & Red shoes. Therefore, Babil's socks can only have been Red (with Blue shoes).

Leaving Bilpo with Green socks and Red shoes.

Double-Checking
1. The red socks went with the blue shoes [Babil].

2. Baba had yellow shoes but not yellow socks [had Blue].

3. The clown with green shoes did not have blue socks [had Yellow].

4. Boba had neither red shoes nor red socks [had Green shoes and Yellow socks].

5. Bilpo's shoes were the same colour as Babil's socks [Red].

6. The clown with red shoes had green socks [Bilpo].

Workings

Hint
The question contains the answer.

Answer
FOOT.

Take the first letter of the second word
   + the first letter of the first word
       + the second letter of the first word
          + the last letter of the second word.

Double-Checking
23-- [1234] 1--4
EA-- [HEAD] H--D
OO-- [FOOT] F--T

Workings

Hint
Start anywhere and see where you end.

Answer
Start from the 1L on the fifth row down and second column across.