Take away my first letter, then take away my second letter. Then take away the rest of my letters, yet I remain the same. What am I?

Guess the hidden movie name?

If you drop me I’m sure to crack, but give me a smile and I’ll always smile back. What am I?

You need to remove two matchsticks to make the below equation true. Can you do it ?

Can you find a pattern and the missing number in the series given below?

100, 155, 258,? , 584, 819.

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?

See the given image carefully. What you have to do is move the blue checkers in the position of the black checkers and vice versa. You are only allowed to move the checker to an adjacent empty space. Do it in the least possible moves.

Can you figure out the logic I used to decide the order of the following words:
gun, shoe, spree, door, hive, kicks, heaven, gate, line, den

Can you solve this tricky maths equation problem by replacing it? mark with the correct symbol?

19834 -----: 187
15921 -----: 153
17561 -----: 139
13734 -----: ???

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