What is more useful when it is broken?

I am lying and I always lie. Tell me whether I am lying or telling the truth.

Can you spot what's wrong with the following sentence?

PETER WAS ANGRY AT
HIMSELF BECAUSE HE
ACCIDENTALLY LEFT THE
THE KEYS TO HIS CAR
AT HIS FRIEND'S HOUSE.

How can you take 2 from 5 and leave 4?

You can take four of the five letters out of this word, but the pronunciation never changes. What is the word?

What runs around the whole yard without moving?

The day before yesterday I was 25 and the next year I will be 28. This is true only one day in a year. What day is my birthday?

You need to complete the maze by entering from the entrance marked below in the figure near the yellow circle, bottom left and leaving from the exit point near the green circle, bottom middle.

Rule of Game: You can move only by exchanging green and yellow circles.

They are three errirs in this question. Can you find them?

You walk into a room that contains a match, a kerosene lamp, a candle and a fireplace. What would you light first?