Question
How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?
Answer: Option D
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Required numbers are 24, 30, 36, 42, .... ......96
This is an A.P. in which a = 24, d= 6 and `l` = 96
Let the number of terms in it be n.
Then ,`t_n` = 96 `rArr` a + (n - 1)d = 96
`rArr` 24 + (n - 1) x 6 = 96 `rArr` (n- 1) x 6 = 72 `rArr` (n- 1) = 12 `rArr` n = 13
Required number of numbers = 13
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