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How many number of times will the digit 7' be written when

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Director
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How many number of times will the digit 7' be written when [#permalink] New post 04 Nov 2005, 14:45
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How many number of times will the digit ‘7' be written when listing the integers from 1 to 1000?

(1) 271 (2) 273 (3) 252 (4) 304 (5) 300
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"Wow! Brazil is big." —George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005

http://www.nytimes.com/2005/11/21/inter ... prexy.html

Director
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 [#permalink] New post 04 Nov 2005, 14:49
300

1 -100 -- 10 times..
100-200 --> 9 +10 times.. (17... 97, 70-79)
so.. from 100-1000 excluding 700's its written 190 times..
700-800 --> 100 times..
so.. 10 +190 +100 = 300 times
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 [#permalink] New post 04 Nov 2005, 15:14
300

1 - 100 : 20 7s
7, 17,27,....,70,71,72,...77,78,79....,97

similarly:
101 - 200 : 20
201 - 300 : 20
301 - 400 : 20
401 - 500: 20
501 - 600 : 20
601 - 700 : 21 (700 has 7)
701 - 800 : 99(all number have 7) + 20 (regular 7s)
801 - 900 : 20
901 - 1000: 20

total : 300
Director
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 [#permalink] New post 04 Nov 2005, 15:43
Good work - no surprise - OA is 300

Underpants for everyone!
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"Wow! Brazil is big." —George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005

http://www.nytimes.com/2005/11/21/inter ... prexy.html

Director
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 [#permalink] New post 04 Nov 2005, 15:59
E) 300

7XX - 100
X7X - 100 (10 times in every 100 - 70-79;170-179...)
XX7 - 100 (10 times in every 100 - 07,17,27...107,117...)
Director
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 [#permalink] New post 04 Nov 2005, 16:03
gsr wrote:
E) 300

7XX - 100
X7X - 100 (10 times in every 100 - 70-79;170-179...)
XX7 - 100 (10 times in every 100 - 07,17,27...107,117...)


Your Avatar (or my old avatar) confuses me into thinking, initially, that your posts are my posts. :shh
_________________

"Wow! Brazil is big." —George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005

http://www.nytimes.com/2005/11/21/inter ... prexy.html

Director
Director
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Joined: 21 Aug 2005
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 [#permalink] New post 04 Nov 2005, 16:10
Titleist wrote:
Your Avatar (or my old avatar) confuses me into thinking, initially, that your posts are my posts. :shh


I will give this dude some rest soon :wink:
Director
Director
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 [#permalink] New post 04 Nov 2005, 16:12
gsr wrote:
Titleist wrote:
Your Avatar (or my old avatar) confuses me into thinking, initially, that your posts are my posts. :shh


I will give this dude some rest soon :wink:



No No No! That's not what I mean't! :lol:
_________________

"Wow! Brazil is big." —George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005

http://www.nytimes.com/2005/11/21/inter ... prexy.html

Director
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Kudos [?]: 7 [0], given: 0

 [#permalink] New post 04 Nov 2005, 16:17
Titleist wrote:
gsr wrote:
Titleist wrote:
Your Avatar (or my old avatar) confuses me into thinking, initially, that your posts are my posts. :shh

I will give this dude some rest soon :wink:

No No No! That's not what I mean't! :lol:


Anyway, I was planning to. Coz we were using him continuously for sometime now :wink: :lol:
VP
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 [#permalink] New post 04 Nov 2005, 16:18
gsr wrote:
E) 300

7XX - 100
X7X - 100 (10 times in every 100 - 70-79;170-179...)
XX7 - 100 (10 times in every 100 - 07,17,27...107,117...)


Your approach is alot better than manual counting(that i did) :) Good one.
Director
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 [#permalink] New post 04 Nov 2005, 16:31
gsr wrote:
Titleist wrote:
gsr wrote:
Titleist wrote:
Your Avatar (or my old avatar) confuses me into thinking, initially, that your posts are my posts. :shh

I will give this dude some rest soon :wink:

No No No! That's not what I mean't! :lol:


Anyway, I was planning to. Coz we were using him continuously for sometime now :wink: :lol:


I wonder what the guy in the avatar would think or say if he found out that we were using his picture. :lol:
_________________

"Wow! Brazil is big." —George W. Bush, after being shown a map of Brazil by Brazilian president Luiz Inacio Lula da Silva, Brasilia, Brazil, Nov. 6, 2005

http://www.nytimes.com/2005/11/21/inter ... prexy.html

  [#permalink] 04 Nov 2005, 16:31
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