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when m+n is divided by 12 remainder 8, when m-n is divided by 12 remainder 6,then mn is divided by 6 remainder?
Read Solution (Total 9)
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- m+n = 12x + 8
m-n = 12y + 6
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2m = 12(x+y) + 14
m = 6(x+y) + 7
m= 6(x+y+1) +1
agian those two equation we use -ve
2n= 12(x-y) + 2
n= 6(x-y) +1
so m and n when both divides by 6 remainder is 1
so if mn is divided by 6 the remainder will also be 1 - 11 years agoHelpfull: Yes(39) No(1)
- ans is 1.
m+n=20
m-n=18
thus m=19 & n=1
so (m*n)/6=(19*1)/6=1 ans. - 11 years agoHelpfull: Yes(5) No(1)
m=30
n=2
m+n=32
32/12 remainder 8
m-n=28
28/6 remainder 6
mn=30*2=60
60/6 remainder =0- 11 years agoHelpfull: Yes(3) No(16)
- i got this question in tcs written test.
i took m=31 and n=1
then m+n=32 then 32/12 remainder is 8
and when m-n=30 then 30/12 remainder is 6
so mn=31 then 31/6 remainder is 1
answer:remainder is 1 - 11 years agoHelpfull: Yes(2) No(0)
- ans is zero
- 11 years agoHelpfull: Yes(1) No(7)
- Answer is 1..
@AMULYA CUTIE : in the question it is given (m-n) divided by 12, not divided by 6. Only the remainder is 6.
therefore (m-n) cannot be 28. - 11 years agoHelpfull: Yes(1) No(0)
- ans:7
i dont know whether i am ryt..
m+n=12x+8,m-n=12y+6
so m=6(x+y)+7,n=6(x-y)+1,
now mn=6(some integer)+7
so the remainder must be 7....correct me if i am wrong - 11 years agoHelpfull: Yes(0) No(10)
- @tejaswini what is the exact ans???
plzzz exaplain method also... - 11 years agoHelpfull: Yes(0) No(1)
- ans is:0
(M+N)/12=8
(M-N)/12=6
from this we can find M=84 and N=12
(MN)/6=0 - 11 years agoHelpfull: Yes(0) No(2)
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