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Re: number system
by vivek 231 - Sunday, 16 September 2012, 04:37 PM
  find out the factors of of 25200 which is


5*5*7*3*3*2*2*2*2

now if u have to get the divisor as 4n+3 means we should select the odd factors only by this we can eliminate the 2s

now the numbers are 35,175,75,63,7,15,315,1575,3for n=0


hope it's right
Re: number system
by rahul srivastav - Sunday, 16 September 2012, 08:13 PM
  The HCF of three natural numbers x, y and z is 13. If the sum of x, y and z is 117, then how many ordered triplets (x, y, z) exist?

ANS..27

i did upto x+y+z=9..after this i can't proceed.pls help.
Re: number system
by tenacious me - Monday, 24 September 2012, 09:54 PM
  after getting x+y+z =9 you have to find such three numbers which do not have common factor(all three). ie except 3,3,3 you can take any three values.
If you remember from Permutation we can find the answer as
C(11,2)-cases when any 1 or 2 variables are zero
therefore the final answer is c(11,2)-3*9-1=55-27-1=27
this additional 1 is for the case 3,3,3