Find the next number in the sequence

1, 2, 6, 21, 88, __?

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?

What word is represented by this rebus?

On a special event at the prison, 5 prisoners John, Jacob, Krist, Tang, and Dang given a chance to go to a sauna and can bring one thing with them.

Following are the things that the prisoners bring with them.
John: A soda
Jacob: Thermos
Krist: Book named "How to kill"
Tang: A Walkman
Dang: Harmonica

Since it is a Sauna, no one can see each other. After a while When the steam is switched, Tang was found dead and there was blood all around.
J Bond was called and he instantly come to know who can be the murderer. How?

what one word does the below rebus identifies?

Can you count the number of blocks in the picture below?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

You are stuck on an island where you have nothing. You find four pieces of paper somewhere on the island. What will be your strategy to escape from the island safely?

PS: No other resource is available to you on the island, neither can you build anything.

There is one thing that goes round the house and also inside the house but never even share a brief touch. What is it?