Tom's Opinion

White to move and mate in two.

You walk up to a mountain that has two paths. One leads to the other side of the mountain, and the other will get you lost forever. Two twins know the path that leads to the other side. You can ask them only one question. Except! One lies and one tells the truth, and you [...]

As the other’s were all so easy, how about this one.
There is a five digit number that is three times as large with a 1 placed at the end of it than with a 1 placed in front of it, what is it?
(When the 1 is placed in front or on the end it becomes [...]

A book costs $1 plus half its price.
How much does the book cost?

Arrange the following two sets of numbers in two columns:
1, 3, 5, 9
2, 4, 7, 8
Now swap one number in one column with a number in the second column to make the totals equal.
Good luck.