What's the only room from which no one can enter or leave

Which digit occurred maximum times between the number 1 and 1000?

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

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

A pet show was happening in my locality. I went down along with my kids. In that show, I noticed that all except two of the entries were cats. All except two were dogs and all except two were Monkeys.

Can you find out how many of each animals were present in that pet show?

Spot the cat in the picture below

There was once a college that offered a class on probability applied to the real world. The class was relatively easy, but there was a catch. There were no homework assignments or tests, but there was a final exam that would have only one question on it. When everyone received the test paper it was a blank sheet of paper with a solitary question on it: 'What is the risk?'.Most students were able to pass, but only one student received 100% for the class! Even stranger was that he only wrote down one word!
What did he write?

Alex is stranded on an island covered in forest.
One day, when the wind is blowing from the west, lightning strikes the west end of the island and sets fire to the forest. The fire is very violent, burning everything in its path, and without intervention the fire will burn the whole island, killing the man in the process.

There are cliffs around the island, so he cannot jump off.

How can the Alex survive the fire? (There are no buckets or any other means to put out the fire)

What does this rebus means ?

PROG WORKRESS

Can you find the missing number in the third row?
35 20 14
27 12 18
5 2 ?

I know a ten-letter word in the English language which can be typed using only the top rows of the computer keyboard.