PUZZLE
YEAR OF BIRTH
On a mathematical circle, one of his
Participants - ninth-- offered
mates this puzzle:
*
*
*
In recording its all figures are missing. But one
have met three times, marked by asterisks. In the first example
(multiplication) among the figures both somnozheteley not
identical. All figures are the product of different, too. In
the second example (in the division), all 9 digits dividend is
different and the right of the vertical features of each figure
is also found only once.
Determine when the father was born a young mathematician, and
when he himself, if known, one of the numbers the first
example, coincides with the birth year of his father and one of
the numbers second - with the birth year of son.
Go fishing
Four avid fisherman - Fadeev, Matveev, Avdeev and Gordeev -
was caught on 10 fish. Each caught a different number (from 1 to
4) of different fish species: pike, carp, perch,
perch.
Determine how much fish each of the four species were caught
Fadeev, Matveev, Avdeev and Gordeev separately, if you know
that:
1) the number of pike caught Matveev, as well
the number of perch caught Gordeev;
2) the number of pike caught Gordeev differ
is the number of perch caught Av
Deyev;
3) the number of perch caught Avdeev, equal
but the number of perch caught Matveev;
4) Gordeev caught four pike;
5) the number of perch caught Matveev, not
equals the number of carp Fadeeva;
6) Avdeev caught two carp;
7) the number of carp caught Fadeev equilibrium
but the number of perch caught Avdeev;
8) Fadeev caught a perch.
Only the square
Make six-digit number, which has
following properties:
1) the sum of the first two numbers - the square of the number;
2) the sum of the first three numbers - the square of the other
of numbers;
3) the sum of the last three digits - square
number;
4) the sum of all six figures - a square number;
5) number written by the first three digits
square of the number;
6) the number recorded last three digital
ramie in sequence - square
number;
7) the number recorded last three digital
ramie in reverse order - the square of the number
la;
8) the difference between the square roots of numbers, for
written word the last three digits, and
number recorded by the first three digit
mi - square numbers.
NU and scissors!
The figure shows some
classic scissors and below 8
(Eight) fantastic.
As usual izvetsno knife
boundary cut, when the ends to
lechkami vault.
Understand the design
Eight unusual scissors and times
divide them into two groups of CO
lasno principle of action.
1 2 3 4
5 6 7 8
.................
