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

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

I have no doors but I have keys, I have no rooms but I have space, you can enter but you can’t leave! What am I?

You need to climb ten stairs. At every stair, you can either take one step up or you can jump two steps up.

In how many different ways you can climb 10 stairs?

You can see three almost identical images below. Can you spot the odd one out from them?

A number can be multiplied by multiple of nine
i.e 9 18 27 36 45 ...

and the resulting number consist of only one digit.

Can you identify the number ?

Jack have ten pairs of black socks, eight pairs of white socks and seven pairs of green socks. Everything is mixed in a draw. As there is no light he were not able to identify the colour of the socks. How many of the socks did he want to take to match one pair

What number do you get when you multiply all of the numbers on a telephone's number pad?

What breaks yet never falls, and what falls yet never breaks?

What type of tree can I carry in my hand?

A pregnant woman is preparing to name her seventh child. Her children's names so far are Dominique, Regis, Michelle, Fawn, Sophie, and Lara. What will she name her next child -- Jessica, Katie, Abby or Tilly?