The Liar

You are travelling and come across a road division. You don't know which of the two roads to take. You see two people around there. One of them always lies and the other always speaks the truth, whatever you ask them. Now what is the minimum number of total questions you need to ask them to get your correct path if we assume that they both know the correct answer and you don't know who speaks truth and who lies?

P.S. You can ask yes/ no questions ONLY. i.e., questions with answer either yes or no. You can't ask other type of questions.

C'mon.. You obviously don't have and maps (not even google maps!!) Otherwise you'll get the answer wrong.

And oh. please! You can't test who is the liar and who is the truthful one by asking questions like are you a man and all... Otherwise you'll get the answer wrong.

This is very easy. Isn't it?

If you are in a dark room with a candle, a wood stove and a gas lamp.

You only have one match, so what do you light first?

It is very crowded in here

As I was going to paris
I met a man with seven wives.
Each wife had seven sacks,
Each sack had seven cats,
Each cat had seven kits.
Kits, cats, sacks and wives,
How many were going to paris?

Did Someone steal it?

Three people check into a hotel.

They pay £30 to the manager and go to their room.

The manager suddenly remembers that the room rate is £25 and gives £5 to the bellboy to return to the people.

On the way to the room the bellboy reasons that £5 would be difficult to share among three people so he pockets £2 and gives £1 to each person.

Now each person paid £10 and got back £1.

So they paid £9 each, totalling £27. The bellboy has £2, totalling £29.

Where is the missing £1?

The Mystical Squares

Consider a 3×3 square where each 1×1 square is filled with one of the integers 1,2,3 or 4. A square is called mystical if each row and column sum up to a multiple of 4. How many mystical squares are there?

Details and assumptions

Rotations and reflections of the square are considered distinct solutions.

Squares Form a Rectangle

Squares and Rectangle

2 squares, each of area 16, are joined side by side to form a rectangle. What is the perimeter of the rectangle?

Collecting coins

How many ways are there for a collection of exactly 100 coins (pennies, nickels, dimes or quarters) to total $2.99?

Note: Pennies are worth $0.01, nickels are worth $0.05, dimes are worth $0.10 and quarters are worth $0.25.