What 8 letter word can have a letter taken away and it still makes a word. Take another letter away and it still makes a word. Keep on doing that until you have one letter left. What is the word?

What numbers should go on the bottom line?
3 6 9 15
8 2 10 12
11 8 19 27
19 10 29 39
? ? ? ?

Solve the counting riddle by identifying the number of triangles in the given picture.

You are in a land where thirty men and two women were dressed in classic black and white dresses.
They begin to fight as soon as any of them move.

Where are you?

You have a three-gallon and a five-gallon measuring device. You wish to measure out four gallons.

In the given figure, you can see that four match sticks are used to form a square. Can you form five squares by using six matches?

During which month do people sleep the least?

Can you find out the remainder when 3^300 is divided by 5?

I have nine bottles of wine and one of the nine bottles is poisoned.
I need to find the poisoned bottle with two facts
(1) Poison is deadly, only a sip will cost death
(2) I have two mice to do so.

How should I do it?

I am weightless, but you can see me. Put me in a bucket, and I'll make it lighter. What am I?