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

Find The Next Number in this series.
1, 2, 6, 42, 1806 ?

You are given 2 eggs.
You have access to a 100-storey building.
Eggs can be very hard or very fragile means it may break if dropped from the first floor or may not even break if dropped from 100th floor, Both eggs are identical.
You need to figure out the highest floor of a 100-storey building an egg can be dropped without breaking.
Now the question is how many drops you need to make. You are allowed to break 2 eggs in the process

Can you find the missing letter in the sequence?
S - T - I - L - ? - T - F - Y - C

Can you solve the tricky chess rebus puzzle below by ciphering the hidden meaning?

Solve the riddle below:

If a Chicken says, 'All chickens are liars" is the chicken telling the truth?

I want to fill my bucket using both cold and hot water.
I have two taps for both cold and hot water. The hot water tap fills the bucket in exact 6 hours and the cold water tap fills the bucket in exact 4 hours.
I turn both of them simultaneously but I forgot to turn off another tap which removes the water out of the bucket. This tap can empty the bucket in 12 hours.

How Long will it take to fill the bucket?

I welcome the day with a show of light, I stealthily came here in the night. I bathe the earthy stuff at dawn, But by noon, alas! I'm gone.

Which number should replace the question mark?

Find the hidden tiger in the given optical illusion ?