An eggscellent brain teaser for you

1 Chicken would lay 1 Egg per day, since you know that the half chicken would lay half an egg in half a day. So theoretically 6 chickens would lay 6 eggs a day total, thus 36 eggs total in 6 days. This brain teaser has put the element of another half chicken in to throw you from the fact that the full chicken is laying eggs at 1 egg per day. At least that's how it works for me

How do you know that..

I got 36.. If the ratio of number of chickens : number of eggs per chicken : time for each egg is 1.5 : 1.5 : 1.5, wouldn't that be exactly the same as saying that every 1 chicken will lay 1 egg in 1 day, or 1 : 1 : 1? If that is the case then 6 chickens in a day will lay 6 eggs, times 6 days will give 36 eggs.. Although I am assuming that the laying of the egg is continuous through time which might not be entirely realistic, but the question itself assumes there can be such thing as 1.5 chickens laying 1.5 eggs soo...

If you have 1.5 chickens, who lay 1.5 eggs in 1.5 days how many eggs will you get from 6 chickens in 6 days?

54

Suppose I have 10 chickens.
These chickens are ranked according to their productivity.

Chicken One lays k eggs per day
Chicken Two lays 2k eggs per day
...
Chicken Ten lays 10k eggs per day

where k is a positive integer

I pick out three of my chickens. They lay 150 eggs in a day.
I pick out three more chickens (none from the original group). They lay 200 eggs in a day.

What is the value of k?

briefly went through common factors in my head and decided it was 10




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should be right if I made it right.
All except 10 and 25 are too big or too small and 25 forces you to reuse chickens it seems

Obvious answer aside, surely it depends on whether or not said chickens are hens or roosters, and on how reliable we consider the observed rate of egg production etc.