The remainder when m + n is divided by 12 is 8, and the remainder when m - n is divided by 12 is 6. If m > n, then what is the remainder when mn divided by 6?
a. 3
b. 4
c. 2
d. 1

• (m+n)/12 remainder is 8 so m+n=8+12=20
  (m-n)/12 remainder is 6 so m-n=6+12=18
  solving this m=19,n=1
  (m*n)/6=(19*1)/6 remainder is 1
• 7 years agoHelpfull: Yes(17) No(4)
• dividend=quotient*divisor+remainder
  m+n/12 r=8 sooo 12x+8=m+n
  12x+6=m-n
  6x+y=mn
  by solving eqns 1 and 2 soo n=1,,and after result (12x+7)/6 remainder is 1 soo option d is correct
• 7 years agoHelpfull: Yes(6) No(1)
• Let m=13 and n=7 then (m+n)/12 remainder is 8 and (m-n)/12 remainder is 6.
  NOW m*n=13*7=91 divided by 6 gives remainder as 1.
• 7 years agoHelpfull: Yes(4) No(3)
• M+n=8
  M-n=6
  By solving these 2 eqns m=7 ,n=1
  M.n/6=1
• 7 years agoHelpfull: Yes(4) No(0)
• Ans:d
  
  12+8 = 20
  20= 19+1 (there are other solutions as well but only this one matches with both the conditions i.e, 19+1%12=8 nd 19-1%12 =6
  therefore 19*1%6=1
• 7 years agoHelpfull: Yes(2) No(1)
• here m+n+8 and m+n+6 is completely divisible by 12.
  so, m+n=8 & m-n=6
  after solving these two equation we get, m=7 & n=1
  mn = 7
  so when we divide 7 by 6 , we get remainder 1.
• 6 years agoHelpfull: Yes(1) No(1)
• take a,b as two numbers
  
  a=19 and b=1
  these two numbers can satisfy above conditions
• 7 years agoHelpfull: Yes(0) No(0)
• First remainder is 8 when divided by 12,
  
  so take number as 20,
  
  2nd case remainder is 6 . so difference between m & n is 6 .. so M=13,N=7 ..
  Now m*n = 91 .. 91/6 , remainder 1
  
  answer 1
  
  
• 7 years agoHelpfull: Yes(0) No(1)
• option d is correct becoz m+n can be 8 and m-n can be 6.bcz8/12remains 8.so by solving we get m=7 and n=1 then mn=7 &7/6 remains 1.so ans is 1
• 7 years agoHelpfull: Yes(0) No(0)
• Let m+n=32-->(1)... because 32/12 gives remainder 8,
  Let m-n=30-->(2) because 30/12 gives remainder 6,
  Solve eq1 & eq 2,we get n=1 and m=31.
  when 31/6 we get remainder as 1..
  Hence option d is the answer.
• 6 years agoHelpfull: Yes(0) No(0)
• we get m=100 and n=28 when solving 2 cases.... then after 100*28 /6 then remainder is 4...
• 6 years agoHelpfull: Yes(0) No(1)