Make the problem that has the answer of “42”
Origin of the question is following.
You should solve the problem given by the gate-keeper.
The gate-keeper chooses a positive integer. In order to solve the problem, you say a number per one trial to the gate-keeper.
If your number is equal or greater than the answer, the gate-keeper shouts “Sh!”.
If your number is less than the answer, the gate-keeper shouts “Brabo!”
You must provide the exact number to the gate-keeper.
You are allowed six times to say an answer.
Moreover, after the gate-keeper says “Sh!” three times, you have to say the exact answer.
Question 1 : What is the greatest number chosen by the gate-keeper in order that there always exists the way to solve the problem?
Question 2 : Then, by the Question 1, What is the number to say first in order to state to the exact answer?
Another problem is given
How long in minutes does it take to go from the north pole of the Earth to the south pole of the Earth through tunnel penetrating the Earth?