Can you decipher the two rows to find the hidden word?

In the addition below, all digits have been replaced by letters. Equal letters represent equal digits and different letters represent different digits.
ABCABA
BBDCAA
ABEABB
ABDBAA
------- +
AAFGBDH
What does the complete addition look like in digits?

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

I had an infinite supply of water and 5 litres and 3 litres jars.

How would you measure exactly 4 litres in the least number of steps?

A plane crashed between the border of Mexico and America. Where do you bury the survivors?

Next Number in the Series,

5, 16, 49, 104, ?

This is a picture puzzle. You have to guess the name of the movie that can be related to the picture.

I am first found in caves, now prolific online; I am a depiction, a drawing, a symbol, or sign. I will convey whichever mood you could wish; or for that matter, a fist, flask, or fish. What am I?

In the given figure, move three matchsticks so that the resulting figure contains two rectangles.

Here is a mathematical expression that also secretly tells a movie name. What movie is that?