goodie

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

15 Answers

62
Lokesh Verma ·

9?

1
Che ·

i dunno teh ans [2]....can u plz tell teh way to do it....i m sure ur ans must be correct...

62
Lokesh Verma ·

oh sorry i solved this one for greatest integer..

my wrong :(

1
Avinav Prakash ·

ans is probably 6

1
Che ·

How Avinav????

341
Hari Shankar ·

The 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

1
Che ·

sir 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"

23
qwerty ·

sir can u pls create a thread so dat we can learn method of congruences plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz [1]

1
Che ·

??????

24
eureka123 ·

it was started by b555....search for it guys

1
Che ·

well 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]

24
eureka123 ·

@thejoker my reply was for qwerty [1]

1
Che ·

k fine

1
souravkundu ...... ·

here is d link for u,Qwerty

http://targetiit.com/iit-jee-forum/posts/congruences-a-z-11709.html

23
qwerty ·

tnxx guyz

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