Replace the question mark with the correct number, given the pair of numbers exhibits a similar relationship?

? : 3839 :: 11 : 1209

How many times do a clock's hands overlap in a day ?

You have two rectangular wires.

Both of them have property that when you light the fire from one end , it will take 60 minutes to get completely burn.

However, they do not burn at consistent speed (i.e it might be possible 1st 20% burn in 50 minutes and 80% can burn in 10 minutes).

So how could you measure 45 minutes ?

In a science lab, a petri dish hosts a healthy colony of yeast for an experiment. Now every minute, all the yeast cells divide into two. At noon, there was just a single cell of yeast and at 1:22, the Petri dish was half full. Can you calculate when the dish will be full of yeast?

What part of the chicken has the most feathers?

Can you calculate the probability of getting a sum of six when a dice is thrown twice?

Which five letter word can be added at the end of below word to form a
valid word?

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If we add four times the age of John four years from now to five times his age five years from now we get ten times his current age.

How old will John be two years from now?

Christina has four daughters, and each of her daughters has a brother. How many children does Christina have?

I know a country, If you remove the last alphabet of its name, it will become a part of your body. Do you name it?