Random Puzzles 

Workings

Hint
The country spans more than one word.

Answer
Sweden.

As managerS, WE DENy all involvement in the unscrupulous dealings that have come to light in the recent interdepartmental investigation.

Workings

Hint
Find two numbers that multiply to 187.

Answer
There were 17 children, with 11 sweets each.

Reasoning
If we number the clues:
each child had more than one sweet there were more children than there were sweets per child
187 only has the factors 1, 11, 17, 187. Therefore, the only possible answers are:

   1 child, with 187 sweets each – not allowed by (2)

   11 children, with 17 sweets each – not allowed by (2)

   17 children, with 11 sweets each (*)

   187 children, with 1 sweet each – not allowed by (1)

Only one possible answer (*) isn't eliminated.

Workings

Hint
The answer involves months of the year.

Answer
6.

The number of letters each month has, starting with January, therefore August has 6 letters.

Workings

Hint
Try rewriting the clues so that those who finished ahead are written first.

Answer
Pat Piper                 (P)
 Alex Ardle               (A)
  Zeb Zebra               (Z)
   Frankie Flint          (F)
    Max Merrymood         (M)
     Jesse Jackson        (J)
      Glenn Goodfellow    (G)
       Toby Trent         (T)
        Billie Brick      (B)
         Kelly Kingfisher (K)

Reasoning
If we number the clues, write each name using a single letter, and rewrite the clues so that those who finished ahead are written first:

M beat T and J P beat J, T, and A P beat Z G beat T Z beat F F and P beat G T beat B A beat Z, K, and G G and M beat K B beat K A and Z beat M F beat T, M, and B J and A beat T J beat G and B
By (2): P A
By (8): P A Z
By (5): P A Z F
By (12): P A Z F M
By (1): P A Z F M J
By (14): P A Z F M J G
By (4): P A Z F M J G T
By (7): P A Z F M J G T B
By (10): P A Z F M J G T B K