Logic Riddles

Logic riddles with answers involve looking at situations and making judgements about them by ruling out impossibilities. If you like solving maths puzzles, you will most probably like logic riddles as well.

Nurse or Not

Three working women have different careers. If only one of statements 1, 2 and 3 are true, can you tell whether or not Mary is a nurse?

  1. This statement is only true if statement 5 is false.
  2. This statement is true if statements 4 or 5, or both 4 and 5 are true.
  3. This statement is false only if both statements 6 and 1 are true.
  4. Mary is a nurse.
  5. Karen is an artist.
  6. Sarah is a photographer.
Riddle Answer

4 Criminals

4 criminals are caught and are to be punished. The judge allows them to be freed if they can solve a puzzle. If they do not, they will be hung. They agreed.

The 4 criminals are lined up on some steps (shown in picture). They are all facing in the same direction. A wall separates the fourth man from the other three.

4 criminals

So to summarise :
Man 1 can see Man 2 and Man 3.
Man 2 can see Man 3.
Man 3 can see none of the others.
Man 4 can see none of the others.

The criminals are wearing hats. They are told that there are two white hats and two black hats. The men initially don’t know what colour hat they are wearing. They are told to shout out the colour of the hat that they are wearing as soon as they know for certain what colour it is.

They are not allowed to turn round or move. They are not allowed to talk to each other. They are not allowed to take their hats off.

Who is the first person to shout out and why?

Riddle Answer