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if x represents the sum of all the positive 3digit nos that can be constructed using each of the distinct non zero digits a,b,c exactly once, wat is the largest integer by wic x must be divisible?
 one year ago
 one year ago
if x represents the sum of all the positive 3digit nos that can be constructed using each of the distinct non zero digits a,b,c exactly once, wat is the largest integer by wic x must be divisible?
 one year ago
 one year ago

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matrickedBest ResponseYou've already chosen the best response.0
see it is clear for the sum of all 3digited number is always divisible by 111
 one year ago

matrickedBest ResponseYou've already chosen the best response.0
total no. of 3 digited nos as per ur question is 504 do u need the highest integer which divides the sum of all 504 numbers? or something else..
 one year ago

matrickedBest ResponseYou've already chosen the best response.0
if i am not wrong the sum of all 3 digited numbers is 279720 with each of the distinct non zero digits a,b,c exactly once it is divisible by integers greater than 222
 one year ago

sunejaBest ResponseYou've already chosen the best response.1
how did u gt tis?? .. bit confused
 one year ago

matrickedBest ResponseYou've already chosen the best response.0
see in any order the each digit 1 through 9 will appear as many as(8X7) times in the unit , tenth and hundredth place
 one year ago

matrickedBest ResponseYou've already chosen the best response.0
now the sum of 1 through 9=45 hence required sum of all reqd + 3digited number is=45*56*(100+10+1)=279720
 one year ago

matrickedBest ResponseYou've already chosen the best response.0
i hope it is clear to u or point where i am making mistake
 one year ago

sunejaBest ResponseYou've already chosen the best response.1
see u might be rite but its jst not helping.... no offense but see its 3digit no so it shud be 9X8X7 Possibilities
 one year ago

matrickedBest ResponseYou've already chosen the best response.0
yes u r correct that is total 504 numbers possible
 one year ago

matrickedBest ResponseYou've already chosen the best response.0
now each of the digits appear 504 /9 =56 times in each column
 one year ago

matrickedBest ResponseYou've already chosen the best response.0
now can u guess the sum total of each of the three columns
 one year ago

matrickedBest ResponseYou've already chosen the best response.0
will it not be 56*(1+2+3....+9)=56*45=2520
 one year ago
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