Answer – Mail Boy did it
As,
1. Cook kept under the book – Possible
2. Maid kept in between page 1 & 2 – Possible (As they checked between page 1 & 2)
    Mail boy saw the bill sticking out of the book it means it was kept in the book. So, maid was innocent
3. Mail Boy -kept in between page 2 & 3. – NOT possible
If A normal book have 1 & 2 pages on separate sheet then, 2 & 3 must be on same sheet and so cant hold anything in between,

So, Mail Boy case is not possible and hence, he was lying.

Answer – 311311222119311311222117

Explanation-
987, 191817, 111911181117, 311931183117, 132119132117, 11131221191113122117 …
This looks a little scary. The sequence seem to grow at an alarming rate.

The logical relation is quite easy–  Logic – Count the number of each type of digit, out loud.
Take 1st number – 987
In above, (1 times 9)(1 times 8)(1 times 7) -> 191817
In above, (1 times 1)(1 times 9)(1 times 1)(1 times 8)(1 times 1)(1 times 7) -> 111911181117
and so on…..
…
…
So, last given number is  – 11131221191113122117
Hence, Next would be,
(3 times 1)(1 times 3)(1 times 1)(2 times 2)(2 times 1)(1 times 9)( 3 times 1)(1 times 3)(1 times 1)(2 times 2)(2 times 1)(1 times 7) => 311311222119311311222117

See the figure for the answer. Wasn’t it a bit tricky?

C7 => B8
Exchange pawn for a knight

Check-Mate

GameOver

Solution is below

Feeling on top of the World

40

There are 17 squares in the given picture.
If the smallest square is of 1 unit,
Then there are 6 squares of 1 unit side, 8 squares with side 2 unit, 2 squares with ide 3 unit and 1 square with side 4 unit.

16 (5+1+1+4+5)

5 black coloured squares.
1 red coloured square.
1 blue coloured square.
4 small green coloured squares in middle.
5 large green coloured squares.

The total number of squares are 17.
Let us assume that the smaller square is 1 unit in size.

Number of squares with 1 unit size = 12
Number of squares with 2 unit size = 5

There is no square with 3 unit size.

Thus total number of squares = 12 + 5 = 17.