How many three digit numbers are divisible by 6


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How many three digit numbers are divisible by 6 which always leaves remainder 1?

Answered by admin @



The 3 digit numbers when divided by 6 leqves remainder 1 are
103, 109.......997
where a=103, d= 109-103=6 and An= 997
An= a+(n-1)d
997=103+(n-1)×6
(n-1)6=997-103=894
n-1=894/6=149
n=149+1=150
so, there are 150 numbers

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