1ans is probably 6
let teh 3 sides of a triangle be integers l,m,n respect...satisfying l>m>n and
\left\{\frac{3^{l}}{10^{4}} \right\}= \left\{\frac{3^{m}}{10^{4}} \right\}= \left\{\frac{3^{n}}{10^{4}} \right\}
wer {x} is fractional part of x
find teh minimum perimeter of such a triangle
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15 Answers
1i dunno teh ans [2]....can u plz tell teh way to do it....i m sure ur ans must be correct...
341The basic idea is to find the least integer p such that 3p≡1 mod 104
Then you can take l,m,n as p+1,2p+1, 1+3p
1sir can u explain a bit more.....samajh nai aaya [2]....i mean ur this statement "The basic idea is to find the least integer p such that 3p≡1 mod 104"
23sir can u pls create a thread so dat we can learn method of congruences plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz [1]
1well i still dint get [2] this statement..The basic idea is to find the least integer p such that 3p≡1 mod 104"
and eure i wasnt asking to expain congruences [3]
1here is d link for u,Qwerty
http://targetiit.com/iit-jee-forum/posts/congruences-a-z-11709.html