Random Puzzles 

Workings

Hint
A very, very easy puzzle?

Answer
5.

Naturally!

Workings

Hint
The answer isn't very large at all.

Answer
There are four boys and six girls in the family.

If there were B boys, and G girls we know that Billy has twice as many sisters as brothers, so 2 x (b − 1) = g.

And his sister, Frankie, has one more sister than she has brothers, so g − 1 = b + 1.
    2(b − 1) = g       [1]
       g − 1 = b + 1   [2]

Using [1] in [2] gives:

2(b − 1) − 1 = b + 1

Expanding the bracket gives:

  2b − 2 − 1 = b + 1

Simplifying the left-hand side gives:

     2b − 3  = b + 1

Add 3 to each side gives:

          2b = b + 4

Subtract b from both sides gives:

           b = 4

Using b = 4 in [1] gives:

    2(4 − 1) = g

           6 = g

Workings

Hint
Alex's drone finished second, so where did the red drone finish?

Answer
Pos  Owner   #      Colour
1    Adrian  #3     red
2    Alex    #2     green
3    Andy    #4     blue
4    Avery   #1     yellow

Reasoning
The four colours were: Blue, Green, Red, Yellow.
The four contestants were: Adrian, Alex, Andy, Avery.

By (4), second place was Green, and owned by Alex.
   1
   2    Alex           green
   3
   4

By (5), Red beat third place, and since Green was second, Red must have been first (and had race number #3).
   1            #3     red
   2    Alex           green
   3
   4

By (2), Adrian's drone was Red or Green, but we now know that Alex's drone was Green, so Adrian's drone was Red.
   1    Adrian  #3     red
   2    Alex           green
   3
   4

By (3), Andy beat Avery, so they were third and fourth respectively.
   1    Adrian  #3     red
   2    Alex           green
   3    Andy
   4    Avery

By (6), Avery's drone had race number #1.
   1    Adrian  #3     red
   2    Alex           green
   3    Andy
   4    Avery   #1

By (1), second place must have had race number #2 (as first place had race number #3, and fourth place had race number #1).
   1    Adrian  #3     red
   2    Alex    #2     green
   3    Andy
   4    Avery   #1

Which leaves third place with race number #4, and by (4) was Blue.
   1    Adrian  #3     red
   2    Alex    #2     green
   3    Andy    #4     blue
   4    Avery   #1

Which leaves fourth place as Yellow.
   1    Adrian  #3     red
   2    Alex    #2     green
   3    Andy    #4     blue
   4    Avery   #1     yellow

Workings

Hint
The 2^nd word begins with the letter C.

Answers
ban-    = bank    (K) -a-i-et = cabinet (CBN) -aiz-   = maize   (ME) s--th   = sixth   (IX) na-e-   = navel   (VL) -eco-   = decoy   (DY) -ocu-   = focus   (FS) -la-e   = glaze   (GZ) --nk    = junk    (JU) f-x     = fox     (O) be--re  = beware  (WA) e-ui-   = equip   (QP) ot-er   = otter   (T) wis-    = wish    (H) -oast   = roast   (R)
This puzzle isn't guaranteed to have a unique answer, can you find another?