If m+n is divided by 12 then the remainder is 8. And if m-n is divided by 12 then the remainder is 6. If m>n then find out the remainder when mn is divided by 6.

• m+n=20
  m-n=18
  =>2m=38
  m=19
  =>n=1
  m*n=19*1=19
  19/6=>remainder=1
• 9 years agoHelpfull: Yes(50) No(4)
• 12x+8=m+n -----------1
  12x+6=m-n ------------2
  From 1 & 2
  We get m= 12x+7 and n= 1
  m*n = 12x+7
  (12x+7)/6 => for every value of x remainder is "1"
  hence remainder=1. ans
  
• 9 years agoHelpfull: Yes(27) No(4)
• m+n= 12k+8 .............................(1)
  m-n= 12l +6 ..............................(2)
  
  on squaring above two equation nd then subtracting we get
  
  4mn=144(k^2-l^2)+2x12(8k+6l)+64-36
  
  mn=36(k^2-l^2)+6(8k+6l)+7
  
  mn=36(k^2-l^2)+6(8k+6l)+(6+1)
  
  which shows clearly 1 is the remainder
• 9 years agoHelpfull: Yes(19) No(0)
• m+n=8
  m-n=6 on solving
  m=7; n=1
  m*n=7*1=7
  mn/6
  reminder = 1
• 9 years agoHelpfull: Yes(6) No(0)
• Ans is :1
  m+n=20
  m-n=18
  =2m=38
  m=19
  =n=1
  m*n=19*1=19
  19/6=Remainder=1
  
• 9 years agoHelpfull: Yes(3) No(0)
• 12x+8=m+n (x - quotient)--------1
  12x+6=m-n ------------2
  From 1 & 2
  We get m= 12x+7, n= 1
  m*n = 12x+7
  (12x+7)/6 => quotient is 2x and remainder is 7
• 9 years agoHelpfull: Yes(1) No(8)
• It would be 1
• 9 years agoHelpfull: Yes(0) No(1)
• the ans is 1
• 9 years agoHelpfull: Yes(0) No(0)
• m=13 n=7
  m*n=91 divided by 6 gives remainder=1
  ans is:1
• 9 years agoHelpfull: Yes(0) No(0)
• it sud be 1
  
• 9 years agoHelpfull: Yes(0) No(0)
• (m+n)-(m-n)=8+6
  so n=7
  and now m should be 13 to satisfy above condition....
  now 13*7/6 remainder is 1
• 9 years agoHelpfull: Yes(0) No(0)
• m+n=20
  m-n=18
  on solving..
  m=19 n=1
  19*1%6 =1
• 9 years agoHelpfull: Yes(0) No(1)
• (3*1)/6=0.5
• 9 years agoHelpfull: Yes(0) No(1)
• m+n=8*x+12(let x quotient)
  
  m-n=6*x+12
  
  so, m=7x+12,,,,,n=x
  
  m*n=7x^2+12x when divides by 6
  
  remainder=1
  
• 9 years agoHelpfull: Yes(0) No(0)
• let x no. of coins of Rs 1.
  A T P
  => x.1+(110-x).5=350
  =>x=50 ans.
• 9 years agoHelpfull: Yes(0) No(0)
• m+n = 42 ( 36 +8 ) and m-n = 56 ( 48 + 8) . therefore m= 46 and n =10 .
  
  So mn = 460 and ( mn ) / 6 has remainder is 4
• 9 years agoHelpfull: Yes(0) No(0)
• m+n-8 divisible by 12
  m-n-6 divisible by 12
  =>m+n+-8+m-n-6 divisible by 12 (m+n-8=a , m-n-6=b , =>a+b divisible by 12)
  =>2m-14 divisible by 12
  =>let 2m-14=24
  =>m=19
  =>n=1
• 9 years agoHelpfull: Yes(0) No(0)
• m+n=12*a+8--------->1
  m-n=12*b+6---------->2
  from eqn 1 + eqn 2-->2m=12(a+b)+14 i.e m=6(a+b)+7
  from eqn 1 - eqn 2--->n=6(a-b)+1
  so m*n=36(a^2 - b^2) +42(a-b) +6(a+b)+7.....so mn/6 gives remainder 7%6=1 as 36(a^2 -b^2)%6=0, 42(a-b)%6=0 & 6(a+b)%6=0
  son ans=1
• 9 years agoHelpfull: Yes(0) No(0)
• m+n=12*x+8
  m-n=12*y+6
  -------------------
  2n=12(x-y)+2 or n=6(x-y)+1
  2m=12(x+y)+14 or m=6(x+y)+7
  so if n is divisible by 6 then remainder is 1 and
  m is divisible by 6 then remainder is 7 i.e 1
  so (m*n)/6 remainder is 1
• 9 years agoHelpfull: Yes(0) No(0)