Random Puzzles 

Workings

Hint
A little bit of algebra might help.

Answer
There are four boys and three girls.

If we call the number of boys B, and girls G.

From the first statement (we take one off as Billy is a boy):

              B − 1 = G

and similarly:

        2 x (G − 1) = B

Substitute G from the first equation into the second equation to give:

  2 x ((B − 1) − 1) = B

    2 x (B − 1) − 2 = B

      2 x B − 2 − 2 = B

          2 x B − 4 = B

                  B = 4

which means that B = 4 and hence G = 3.

Workings

Hint
The first word is base.

Answer
Strawberry.
bake = base cure = cute maze = mare pest = peat neat = newt rope = robe port = poet food = ford poke = pore soda = soya

Workings

Hint
In the road race, where could Charlie have finished?

Answer
Cycling : Billie > Alex > Charlie > Drew

Road race : Drew > Charlie > Billie > Alex

Road Race
In the road race, where could Charlie have finished?

By (4), he wasn't last. By (5), he wasn't first.

By (2), if Charlie was third, then he would have won the cycling, but by (3) Alex beat Charlie in the cycling, so Charlie can't have won the cycling.

So Charlie must have finished in second place.

By (5), Drew was first.

By (1), Alex didn't win the cycling, so by (2) he didn't come third in the road race. Therefore, Alex came last.

Leaving Billie in third place.

Road race : Drew > Charlie > Billie > Alex

Cycling
By (2), Billie won.

By (4), Charlie wasn't last.

By (3), Alex beat Charlie. So Alex finished in second place, with Charlie in third place.

Leaving Drew in last place.

Cycling : Billie > Alex > Charlie > Drew

Workings

Hint
Try working backwards.

Answer
15.

Reasoning
One quarter of 360 is 90.

One third of 90 is 30.

One half of 30 is 15.