How many three digit numbers are divisible by $6$ ?

102

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150

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151

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966

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Solution

The correct option is B $150$
The three digit numbers divisible by $6$ are $102, 108, 114, . . . . . . ., 996$
We have $a = 102$ , $a_{n} = 996$
$a_{n} = a + (n - 1) d$
$\Rightarrow 996 = 102 + (n - 1) 6$
$\Rightarrow n = 150$
There are $150$ such numbers divisible by $6$ .

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