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

(a) 27

(b) 28

(c) 29

(d) 26

**Answer: (b) 28**

**Solution:-**

The smallest number and greatest number between 3 and 200 divisible by 7 are 7 & 196

Their series is

7, 14, 21, 28, ………………… 189, 196

This is an A. P. with a = 7 & d = 7

Tn = 196, n = ?

**Formula- Tn = a + (n – 1) d**

Then, 196 = 7 + (n – 1) 7

196 = 7 + 7 n – 7

7 n = 196

n = 196/7

n = 28

Then, 28 natural numbers divisible by 7 are between 3 and 200.

Hence, the correct answer is option (b) 28.