Re: [algogeeks] Re: Math Puzzle

2011-09-15 Thread Ashima .
solution is =3 with the condition p!=0 and q!=0 and r!=0 Ashima M.Sc.(Tech)Information Systems 4th year BITS Pilani Rajasthan On Thu, Sep 15, 2011 at 10:38 PM, Piyush Grover wrote: > @abhinav... > > it's not about being over smart or to show someone or to prove someone > anything. It's just th

Re: [algogeeks] Re: Math Puzzle

2011-09-15 Thread Piyush Grover
@abhinav... it's not about being over smart or to show someone or to prove someone anything. It's just that you should not take any assumptions by yourself or if you do you should specify clearly. If u r asked this question in an interview and you give the answer 3 without telling your assumption,

[algogeeks] Re: Math Puzzle

2011-09-15 Thread Don
Right, and in every proof above, at some point there is a possible division by zero. Therefore the proof is not valid in cases where R or P or Q are zero, and there are infinitely many such cases. The problem states P+Q+R=0 as the only constraint. There are infinitely many cases which fit that cons

Re: [algogeeks] Re: Math Puzzle

2011-09-15 Thread abhinav gupta
dude dats outside the domain of the qs...dont be oversmart. On Thu, Sep 15, 2011 at 9:49 AM, Don wrote: > No, not at all. Here is a trivial counterexample: > > P = Q = R = 0 > > Don > > On Sep 15, 11:46 am, abhinav gupta wrote: > > Shut up...its 3,, > > > > > > > > On Thu, Sep 15, 2011 at 9:43

Re: [algogeeks] Re: Math Puzzle

2011-09-15 Thread abhinav gupta
u cnt divide a number by 0..that thing is self undrstod On Thu, Sep 15, 2011 at 9:49 AM, Piyush Grover wrote: > Don is right > > if R = 0, P = 1 and Q = -1 then the given expression is UNDEFINED!!! > > > > On Thu, Sep 15, 2011 at 10:16 PM, abhinav gupta > wrote: > >> Shut up...its 3,, >>

[algogeeks] Re: Math Puzzle

2011-09-15 Thread Don
No, not at all. Here is a trivial counterexample: P = Q = R = 0 Don On Sep 15, 11:46 am, abhinav gupta wrote: > Shut up...its 3,, > > > > On Thu, Sep 15, 2011 at 9:43 AM, Don wrote: > > It might be 3, but it doesn't have to be 3. > > Don > > > On Sep 14, 11:56 pm, NAGARAJAN SIVARAMAN wrote: >

Re: [algogeeks] Re: Math Puzzle

2011-09-15 Thread Piyush Grover
Don is right if R = 0, P = 1 and Q = -1 then the given expression is UNDEFINED!!! On Thu, Sep 15, 2011 at 10:16 PM, abhinav gupta wrote: > Shut up...its 3,, > > > On Thu, Sep 15, 2011 at 9:43 AM, Don wrote: > >> It might be 3, but it doesn't have to be 3. >> Don >> >> On Sep 14, 11:56 pm,

Re: [algogeeks] Re: Math Puzzle

2011-09-15 Thread abhinav gupta
Shut up...its 3,, On Thu, Sep 15, 2011 at 9:43 AM, Don wrote: > It might be 3, but it doesn't have to be 3. > Don > > On Sep 14, 11:56 pm, NAGARAJAN SIVARAMAN wrote: > > if P+Q+R= 0 then P2 /QR + Q2/PR + R2/PQ = ?? > > > > how to solve this?? > > -- > You received this message because you are

[algogeeks] Re: Math Puzzle

2011-09-15 Thread Don
It might be 3, but it doesn't have to be 3. Don On Sep 14, 11:56 pm, NAGARAJAN SIVARAMAN wrote: > if P+Q+R= 0  then P2 /QR  + Q2/PR + R2/PQ = ?? > > how to solve this?? -- You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group,

Re: [algogeeks] Re: math puzzle

2011-08-28 Thread Rishabbh A Dua
3x+4y = 60 can be expressed as 15 -y = 3x+3y -45 i.e, 15-y = 3(x+y-15) which implies tht for every value of x,y in the above eq 15-y is divisible by 3 On Sun, Aug 28, 2011 at 10:03 PM, Dave wrote: > @Harhsit: Normally, 0 is not considered positive. > > Dave > > On Aug 28, 10:45 am, harshit set

[algogeeks] Re: math puzzle

2011-08-28 Thread Dave
@Harhsit: Normally, 0 is not considered positive. Dave On Aug 28, 10:45 am, harshit sethi wrote: > sorry 6 solutions y=15,12,9,6,3,0 > and x=0,4,8,12,16,20  respectively > > On 8/28/11, harshit sethi wrote: > > > > > maximum value of y satisfying this is y=15 and for that x=0; > > > now decreas

Re: [algogeeks] Re: math puzzle

2011-08-28 Thread harshit sethi
sorry 6 solutions y=15,12,9,6,3,0 and x=0,4,8,12,16,20 respectively On 8/28/11, harshit sethi wrote: > maximum value of y satisfying this is y=15 and for that x=0; > > now decrease y by 3 and increase x by 4 ,you will have x and y > satisfying the equation. > > keep on doing this till you reach

Re: [algogeeks] Re: math puzzle

2011-08-28 Thread harshit sethi
maximum value of y satisfying this is y=15 and for that x=0; now decrease y by 3 and increase x by 4 ,you will have x and y satisfying the equation. keep on doing this till you reach minimum value of y i.e 0 this you can do 5 times decreasing y=15 by 3 every time so there will be 5 solutions .

Re: [algogeeks] Re: math puzzle

2011-08-28 Thread Piyush Grover
3x+4y = 60 it's a straight line equation whose x intercept is 20 and y intercept is 15. Draw it in first quadrant (as x, y are positive integers) now x = (60 - 4y)/3 = 4(15-y)/3 now for y = 1, 2...15 you need to check whether (15-y) is divisible by 3 or not. It's simple y = 3, 6, 9, 12 -Piyush On

[algogeeks] Re: math puzzle

2011-08-28 Thread Dave
@Sivaviknesh: The smallest values of x and y are 1. The largest value of y is (60 - 3) / 4 = 14. Solve for x: x = (60 - 4y) / 3. Since x is an integer, 60 - 4y must be a multiple of 3. Since 60 - 3y is a multiple of 3, (60 - 4y) - (60 - 3y) = y must be a multiple of 3. Thus, y = 3, 6, 9, 12. Then y