Random Puzzles 

Workings

Hint
Think literally.

Answer
Because there is 1 more coin!

2,024 = 2,023 + 1.

Workings

Hint
Don't look at the first letters.

Answer
Duck.

The second letters of each word are the vowels in alphabetical order, fAwn, bEar, lIon, mOle, dUck.

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
Can the fractions be simplified?

Answer
667.

Reasoning
3      8      1
—  of  —  of  —  of 2001
4      9      2

which simplifies to:
24
——  of 2001
72

which simplifies to:
1
—  of 2001
3

Giving 667.