AMTI october 2008

Question of Ramanujan contest...

15 Answers

33
Abhishek Priyam ·

33
Abhishek Priyam ·

33
Abhishek Priyam ·

solving How many questions do you think is ok for this paper

62
Lokesh Verma ·

Abhishek which of these could you not solve?

I did not comment on the no of questions.. bcos i am myself not very sure... the questiosn are good no doubt :)

may be we can skip geometry

33
Abhishek Priyam ·

plz help about Q.6........

62
Lokesh Verma ·

hey 6 is simple

find f(0,0) .. and then proceed..

Not as tough as u may think!

62
Lokesh Verma ·

put x=y=z
f(x,x) =1

put y=z
f(x,y)f(y,y)f(z,x)=1
f(x,y)f(y,x)=1

f(x+2,x+1)f(x+1,x)f(x,x+2)=1
2.2.f(x,x+2)=1
f(x,x+2)=1/4
f(x+2,x)=4
f(0+2,0)=4

following thus, we get f(m,n)=2m-n

62
Lokesh Verma ·

a couple of induction steps remain in between .. that i have left for u to figure out :)

33
Abhishek Priyam ·

Got it........

33
Abhishek Priyam ·

Results out..

[1] me 18 th

(last from my school [2] )

6 from our school (XI+XII) in india top 34
5 from our section... in it
[1]

62
Lokesh Verma ·

gr8.. congrats :)

62
Lokesh Verma ·

oh btw does that smell like some cheating?

1
madeforiit ·

CONGRATS AB!!!!
HEY CAN U TELL ME HOW DID U DO DA QUE.6?????

1
Diptosh ·

Congratulations !!

Someone try 7 .

1
mr.pradeepg ·

can anyone post the solutions of all these problems and also the junior paper IX X

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