What word is pronounced the same if you take away four of its five letters?

I want to fill my bucket using both cold and hot water.
I have two taps for both cold and hot water. The hot water tap fills the bucket in exact 6 hours and the cold water tap fills the bucket in exact 4 hours.
I turn both of them simultaneously but I forgot to turn off another tap which removes the water out of the bucket. This tap can empty the bucket in 12 hours.

How Long will it take to fill the bucket?

Can you find a number that lies one third of the distance between 1/3 and 2/3?

Replace the letters of words with a number so that the below equation holds true

BASE +
BALL
---------
GAMES
----------

Find the next number in the series.
1 10 24 43 67 ?

In the given figure, move three matchsticks so that the resulting figure contains two rectangles.

You need to arrange three 7 and mathematical symbols to form number 1?

Living above a star, I do not burn
Eleven friends and they do not turn
I can just be visited in a sequence, not once or repeatedly
PQRS are my initials
Can you tell my name accurately?

A journalist was investigating a sacred cult in the jungles of Africa when he was caught by one of the person. He was confined in a cave till the leader arrived. The leader told him that he need to tell him a statement. If he thinks the statement is true, then the journalist head will be chopped off. If he thinks that the statement is false, his head will be smashed with a hammer.

What statement did the journalist make to survive?

Why Aeroplane windows are round?