Question

if x represents the sum of all the positive 3-digit 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?

Answer 1

no its 222

Answer 2

see it is clear for the sum of all 3-digited number is always divisible by 111

Answer 3

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..

Answer 4

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

Answer 5

??
r u there

Answer 6

how did u gt tis?? .. bit confused

Answer 7

see in any order the each digit 1 through 9 will appear as many as(8X7) times in the unit , tenth and hundredth place

Answer 8

now the sum of 1 through 9=45
hence required sum of all reqd + 3digited number
is=45*56*(100+10+1)=279720

Answer 9

i hope it is clear to u or point where i am making mistake

Answer 10

see u might be rite but its jst not helping.... no offense
but see its 3digit no so it shud be 9X8X7 Possibilities

Answer 11

yes u r correct
that is total 504 numbers possible

Answer 12

k then

Answer 13

now each of the digits appear 504 /9 =56 times in each column

Answer 14

do u agree

Answer 15

k

Answer 16

now can u guess the sum total of each of the three columns

Answer 17

will it not be 56*(1+2+3....+9)=56*45=2520

Answer 18

am i correct...