Question
How many natural numbers between 17 and 80 are divisible by 6 ?
Answer: Option C
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These numbers are 18, 24, 30, 36...........,78.
This is an A.P. in which a = 18, d = (24 - 18) = 6 and `l` = 78
Let the number of these terms be n. Then
`t_n = 78 rArr a + (n - 1) d = 78`
`rArr 18 + (n - 1) xx 6 = 78`
`rArr (n - 1) xx 6 = 60`
`rArr (n - 1) = 10`
`rArr n = 11`
Required number of numbers = 11 .
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