# Divisible from 1 to 9 - math puzzle

Find a number consisting of 9 digits in which each of the digits from 1 to 9 appears only once. This number should satisfy the following requirements:

a. The number should be divisible by 9.

b. If the most right digit is removed, the remaining number should be divisible by 8.

c. If then again the most right digit is removed, the remaining number should be divisible by 7.

d. etc. until the last remaining number of one digit which should be divisible by 1.

a. The number should be divisible by 9.

b. If the most right digit is removed, the remaining number should be divisible by 8.

c. If then again the most right digit is removed, the remaining number should be divisible by 7.

d. etc. until the last remaining number of one digit which should be divisible by 1.

# Mansi counting - logic puzzle

Mansi is a language of a Siberian tribe and has about 3000 speakers. Here some number in the Mansi language:

8: nollow, 15: atxujplow, 49: atlow nopel ontellow, 50: atlow, 99: ontelsat ontellow, 555: xotsatn xotlow nopel at, 900: ontellowsat, 918: ontellowsat nollowxujplow.

What is the meaning of the following words: atsatn at, nolsat nopel xot, ontellowsatn ontellowxujplow? And how to say 58, 80, 716 in the Mansi language?

8: nollow, 15: atxujplow, 49: atlow nopel ontellow, 50: atlow, 99: ontelsat ontellow, 555: xotsatn xotlow nopel at, 900: ontellowsat, 918: ontellowsat nollowxujplow.

What is the meaning of the following words: atsatn at, nolsat nopel xot, ontellowsatn ontellowxujplow? And how to say 58, 80, 716 in the Mansi language?

*Problem Language Olympiade 2005*# Nails - logic puzzle

How can you put (without using glue or something like that) ten nails on the head of a standing nail? The final construction should be stable. |