# How many natural numbers divisible by 7 are there between 3 and 200?

How many natural numbers divisible by 7 are there between 3 and 200?
[A]27
[B]28
[C]29
[D]36

28
Number just greater than 3 which is divisible by 7 = 7
Number just smaller than 200 which is divisible by 7 = 196
Here, a = 7, an = 196, d = 7, n = 8
∴ an = a + (n – 1)d
=> 196 = 7 + (n – 1) $\times$ 7
$=> n - 1 = \frac{196 - 7}{7} = 27$
=> n = 27 + 1 = 28
Hence option [B] is right answer.