Can you arrange four 9's and use at most 2 math symbols, to make the total 100?

Can you move from MANILA to UGANDA in the shortest time? You need to follow the below rules:
Rule 1: You can change up to 3 alphabets at a time.
Rule 2: New words must be of 6 alphabets.
Rule 3: The new word formed must be a country or capital.

John enters a small room. The Door Closes.
When the door opens, John is in a larger room.

Explain?

Use only one mathematical symbol and all numbers (0-9) to get a sum of 99

There are a number of books on a shelf. If one book is the 4th from the left and 6th from the right, how many books are on the shelf?

Mr Black, Mr Gray, and Mr White are fighting in a truel. They each get a gun and take turns shooting at each other until only one person is left. Mr Black, who hits his shot 1/3 of the time, gets to shoot first. Mr Gray, who hits his shot 2/3 of the time, gets to shoot next, assuming he is still alive. Mr White, who hits his shot all the time, shoots next, assuming he is also alive. The cycle repeats. If you are Mr Black, where should you shoot first for the highest chance of survival?

There is a family that live in a round house. The two parents go out for a movie and leave a babysitter to watch their son. They come back and the kid was not there. Some one kidnapped him. The maid said she was cleaning in a corner. The cook said he was making pizza. The babysitter said she was getting a board game. Who kidnapped him.

Find the number of squares in the below-given picture.

I am weightless, but you can see me. Put me in a bucket, and I'll make it lighter. What am I?

Make a sentence consisting of three words that have the whole alphabet.