I have branches, but no fruit, trunk or leaves. What am I?

John was piloting a plane behind a car but was never able to overtake it. Why?

In the image below, you can see two glasses and two matchsticks.You need to move four matchsticks in such a manner that the crosses come inside the glasses. Note: you cannot move the crossed.

Can it be possible to build a house that has all its four walls facing towards the South?

Spot 5 differences in two Christmas tree below:

What runs around the whole yard without moving?

What has many keys but can’t open a single lock?

Begin with a word, five letters to my name,
Remove the first and last but I am the same
Take out my middle and still, I remain.
What word am I?

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.

You see a mathematical expression in the picture. Can you think of a movie that this expression refers to?