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Post by rt_08 Wed Oct 08, 2008 12:13 pm

rmo1993

find
1. Positive integers are written on all the faces of a cube, one on each. At each corner (vertex)
of the cube, the product of the numbers on the faces that meet at the corner is written. The
sum of the numbers written at all the corners is 2004. If T denotes the sum of the numbers
on all the faces, find all the possible values of T.
Smile afro
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Post by SKAND Wed Oct 08, 2008 2:53 pm

Is it level 0???????

i'll try(though i am sure I can't solve)

albino Laughing (just checking the smileys)
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Post by rt_08 Wed Oct 08, 2008 5:09 pm

hey wat do u mean by level 0
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Post by SKAND Wed Oct 08, 2008 5:49 pm

I just checked it like that 'Science For Fun:level zero:maths'
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Post by rt_08 Wed Oct 08, 2008 6:11 pm

ah i thought u were giving a clue to the solution

Very Happy
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Post by Infinity squared Thu Oct 09, 2008 11:10 am

i shud move this to olympiad section
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Post by Arnav...!!! Fri Oct 10, 2008 12:01 am

rt tell me wats their to laugh rmohahahaha????????
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Post by Arnav...!!! Fri Oct 10, 2008 12:01 am

Laughing
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Post by paranormal Tue Oct 21, 2008 1:45 am

Place the cube on the ground. Call the faces perpendicular to the ground a,b,d,e with b parallel to e and a parallel to d, the face on the ground c and the one on the top f.
We have
abc+bcd+bfd+fed+fab+aec+efd+cde=2004
(c+f)(a+d)(b+e)=2004
Now 2004=2.2.3.167
So
2004=2.2.501 This gives a+b+c+d+e+f=505
2004=3.2.334 This gives a+b+c+d+e+f=339
2004=2.6.167 This gives a+b+c+d+e+f=175
2004=3.4.167 This gives a+b+c+d+e+f=174

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Post by Infinity squared Tue Oct 21, 2008 11:30 am

bow welcome
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Post by rt_08 Tue Oct 21, 2008 5:01 pm

welcome paranormal bow
and good answer
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Post by Arnav...!!! Tue Oct 21, 2008 11:25 pm

tell neone brougth u here or u came to know by yourself(searching on d web)...........well still welcome to sff.......... fool drunk2 bow Razz cheers rite
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Post by Infinity squared Wed Oct 22, 2008 11:41 am

he is no 1 but hell_ever fool
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Post by rt_08 Wed Oct 22, 2008 4:52 pm

kewl........................... welcome hell_ever
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Post by paranormal Thu Oct 23, 2008 1:20 am

How did you know, you cunning ass? Laughing drunk2 pirat <-----Do you know my password? or did you hack my account somehow??

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Post by rt_08 Thu Oct 23, 2008 10:23 am

ritu > the hacker rofl Shocked
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Post by Infinity squared Thu Oct 23, 2008 11:52 am

its simple enuf---ur e mail id is anirudh_hell fool
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Post by rt_08 Thu Oct 23, 2008 3:29 pm

he might be someone else

Razz Laughing
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