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

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

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.
{"ft_lang_label":"__label__en","ft_lang_prob":0.8817809,"math_prob":0.9994486,"size":560,"snap":"2021-04-2021-17","text_gpt3_token_len":232,"char_repetition_ratio":0.11510792,"word_repetition_ratio":0.030534351,"special_character_ratio":0.49285713,"punctuation_ratio":0.13432837,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9976487,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-01-17T06:07:23Z\",\"WARC-Record-ID\":\"<urn:uuid:246b88d3-0c76-4824-8321-ca418501937b>\",\"Content-Length\":\"66975\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:6b33da2b-0230-4261-adae-c3913949ba28>\",\"WARC-Concurrent-To\":\"<urn:uuid:48b0fea2-c85f-499d-97eb-63f684a7f999>\",\"WARC-IP-Address\":\"104.21.90.168\",\"WARC-Target-URI\":\"https://www.edupil.com/question/how-may-natural-numbers-divisible-by-7-are-there-between-3-and-200/\",\"WARC-Payload-Digest\":\"sha1:SAPOMFDL7YV7Z7WJ3RHZF3CEIM2TWPJ3\",\"WARC-Block-Digest\":\"sha1:ITKP2SUVCXOZFZJAJOFLGKYQEIBDUYH2\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-04/CC-MAIN-2021-04_segments_1610703509973.34_warc_CC-MAIN-20210117051021-20210117081021-00035.warc.gz\"}"}