when m+n is divided by 12 we get reminder 8.when m-n is divided by 12 we get reminder 6.if m>n then what will be the reminder when mn is divided by 12

• ans is 7
  m+n/12=12x+8
  m-n/12=12x+6
  if x=1 then m+n=20 and m-n=18
  as m>n so m=19 n=1
  so mn/12=7
• 12 years agoHelpfull: Yes(39) No(7)
• m+n=12x+8
  m-n=12y+6
  m=6x+6y+7
  n=6x-6y+1
  mn=36x^2+36xy+6x+36xy-36y^2+6y+42x-42y+7
  mn=36x^2+36xy+6x+36xy-36y^2+6y+42x-42y+6+1
  mn=6(6x^2+12xy+8x-6y^2-7y+1)+1
  than mn is divide by 6 we will gate reminder 1
  so ans is 1
• 12 years agoHelpfull: Yes(10) No(3)
• ans 7
  dividend=divisor*quotient+remainder
  take quotient=1
• 12 years agoHelpfull: Yes(9) No(13)
• m+n=12x+8
  m-n=12x+6
  on solving
  m=6x+6y+7
  n=6x-6y+1
  multiply
  mn=36x^2 -36y^2 +48 x -36y +7
  now (mn)mod 12
  which is 7 so 7 is ans
• 12 years agoHelpfull: Yes(4) No(2)
• @jarjis ryt. take any quotient, that will be the factor of 12 and will be divisible and will leave the same remainder everytym.
• 12 years agoHelpfull: Yes(2) No(5)
• @ rashmi,how u can solve mn/12=7
• 12 years agoHelpfull: Yes(2) No(2)
• if m=13
  n=7
  remainder=7
  
• 12 years agoHelpfull: Yes(0) No(3)