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Monday
, 4 october 2010
resturi
Proposed by
catanedelcu
(10 comments)
5.050
times displayed
n impartit la 2 da rest 1
n impartit la 3 da rest 1
n .... 4 ... 1
............................
n impartit la 10 da rest 1
DAR
n impartit la 11 da rest 0
Care e cel mai mic n care "se potriveste" ?
______________________________________________
si nu uitati de
Tableta säptämânii
!!!
(sunt acolo probleme .....
View the Solution
c.m.m.m.c (2,3,4...10) = 2520.
2520 * k + 1 = 1 modulo 2,3...10 pt orice k
deci vrem 2520 *k+1 = 0 mod 11
dar 2520 = 1 mod 11 =>
k+1 = 0 mod 11 =>
k = 10 =>
n=25201
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Comments (10)
Monday
, 4 oct 2010 00:05
[#]
radufly
10!+1=
3628801
(3628801:11=329891)
Monday
, 4 oct 2010 00:23
[#]
catanedelcu
RE:
rationamentul e absolut corect dar se cere
cel mai mic n
...eu as da un indiciu dar asta ar insemna ca imi rezolv eu propria-mi problema :)
Monday
, 4 oct 2010 00:38
[#]
Parmalat
RE:
nu prea cred:D
Monday
, 4 oct 2010 00:44
[#]
Parmalat
numarul e 480.249
120 se imparte exact la numerele 1,2,3,4,5,6,8,10
deci numarul 121/11 da rest 0 si impartit la celelalte mentionate in afara de 7 si 9 da rest 1
inmultim 121 cu patratul numerelor 7 si 9(121*49*81)
da 480.249
se imparte exact la 11=>43659
impartit la celelate da rest 1
se poate verifica foarte usor intr-un excel:)
Monday
, 4 oct 2010 00:54
[#]
Parmalat
scz nu am fost atent la impartirea cu 3 poate mai incerc maine daca nu v-a fi altcineva mai rapid:D succes
Monday
, 4 oct 2010 10:37
[#]
dnlac
RE:
*va
Monday
, 4 oct 2010 01:23
[#]
stefynr8
cmmmc(2,3,4,5,6,7,8,9)=2520
2520%11=1 => (2520*10 +1 ) % 11 =0
2520*10+1=25201
RASPUNS: 25201
Monday
, 4 oct 2010 01:29
[#]
catanedelcu
RE:
perfect. felicitari !
Monday
, 4 oct 2010 01:31
[#]
stefynr8
RE:
mersi :D
Monday
, 4 oct 2010 15:14
[#]
lucipet
Spre Sud se poate privi numai din punctul situat la 90 grade lat. N, punct care nu are si longitudine.
Similar si pentru polul Nord.
(Tableta saptamanii)
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