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

(a) 27
(b) 28
(c) 29
(d) 26

Anurag Mishra Professor Asked on 29th February 2016 in Maths.
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1 Answer(s)

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. 

Anurag Mishra Professor Answered on 2nd March 2016.
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