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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