I’m light as a feather, yet the strongest person can’t hold me for five minutes. What am I?

Find the missing letter in the last circle logically in the given below picture.

Which of the following words don't belong in the group and why?
CORSET, COSTER, SECTOR, ESCORT, COURTS

You are on your way to visit your Friend, who lives at the end of the hill. It is his birthday, and you want to give him the cakes you have made. Between your house and his house, you have to cross 5 bridges, and as it goes in the land of make believe, there is a troll under every bridge! Each troll, quite rightly, insists that you pay a troll toll. Before you can cross their bridge, you have to give them half of the cakes you are carrying, but as they are kind trolls, they each give you back a single cake. How many cakes do you have to leave home to make sure that you arrive at a friend's house with exactly two

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

John went to meet his friend Jacob, but when he was about to reach the main gate, John notices that Jacob had a mighty dog who was fastened to the tree. The chain is long enough that it allows the dog to reach the main gate.

How can the John reach the main gate?

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

A Doctor always sneezes before the rain. Doctor sneezes, Will it rain?

Two in a corner, one in a room, zero in a house, but one in a shelter. What am I?

What is the fewest number of coins that would be required in order to make sure each and every coin touches exactly three other coins?