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1.There is a number 61 on a whiteboard. Every minute a number is erased and another number is written instead: a product (multiplication) of digits of an old number plus 13. What number will be written on a whiteboard in one hour? (the answer is a number) For example, after the first minute on a whiteboard will be a number 19 = 1* 6 + 13.
2.There are 5 members of a sports team. There need to be a
captain and a deputy. How many ways are there to select a captain
and a deputy? (the answer is a number)
3.There are lotuses growing in the mountain lake in Peru. Every
day, each lotus is split in half, and instead of one lotus, two
appear. The next day, each of the resulting lotuses is split in
half, and so on. After 30 days, the lake was completely covered
with lotuses. After how many days the half of the lake was covered
with lotuses? (the answer is a number)
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