find the sum of all 3 digit no. when divided by 12 leaves remainder 5.
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the smallest 3 digit number = 100 is divided by 5 103 is the 1st 3digit no which will give remainder 3
the largest 3 digit no=999
999/5 gives reminder.4=998will remainder 3
this series is obviously in AP,(103,108,111,....,998)
998=103+(n-1)5
n=895/5+1=180
so sum
n/12(first term +last term)
180/2(103+998)=90(1101)=99090
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