Question
How many 3-digi numbers are completely divisible by 6 ?
Answer: Option B
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3-digit numbers divisible by 6 are
102,108,114, ....... 996
This is an A.P. in which a = 102,d = 6 and I = 996
Let the number of terms be n. Them `t_n` = 996
`:.` a + (n - 1)d = 996 `rArr` 102 + (n - 1) x 6 = 996
`rArr` 6 x (n - 1) = 894 `rArr` (n -1) = 149 `rArr` n = 150
`:.` Number of terms = 150
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