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

I know a nine-letter word having only one vowel.
Do you ?

We can be boring,Or interesting.
We can be long,Or short.
We can have pictures,Or just words.
Many love us,But many also hate us.
What are we?

You have two strings whose only known property is that when you light one end of either string it takes exactly one hour to burn. The rate at which the strings will burn is completely random and each string is different.

How do you measure 45 minutes?

There is one thing that goes round the house and also inside the house but never even share a brief touch. What is it?

As shown in the picture below, we can see a boy hanging on the tree branch to save his life. There are various ways in which he can die like1. A snake hanging toward the right waiting to bite the boy.2. A roaring Lion near the tree.3. Two crocodiles are ready to attack if the boy reaches near water. The tree is chopped to some extent, so can fall as if he moves a lot. Can you give this boy an escape plan?

I have Rs.50 and I spend it in the way as below.

What has a ring but no finger?

If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

What number does the below three word/phrase identify and why?
1. Deck
2. Year
3. Singing in the Rain