You are here,

Help, Search
New Batches at TathaGat Delhi!
number system problems
by poora gadha - Monday, 23 July 2012, 05:19 PM
  Each of the two numbers 10417 and 9637 when divided by a two digit number leave the same remainder.
How many such divisors are possible?
Reply
Re: number system problems
by spunky arora - Monday, 23 July 2012, 07:02 PM
  10417 - 9637 = 780

Now you have to find the number of two digit factors of 780, which is 12 smile
Show parent | Reply
Re: number system problems
by poora gadha - Monday, 23 July 2012, 07:45 PM
  hi spunky thanx for replying just wanted to know that is there a logic behind this or is it ratne wala  sawal.smile
Show parent | Reply
Re: number system problems
by spunky arora - Tuesday, 24 July 2012, 05:46 PM
 

logic he logic hai bhai smile
lets say, the two digit number,which gets the same remainder(R) with both the numbers is A
now, 10417= Ak + R

9637= Al + R

subtracting Ak + R - (Al + R) = A(k-l)

means the number( A(k-l) ) which we get on subtracting the two numbers would surely be divisible by the same number(A) smile

Show parent | Reply