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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]

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04 Nov 2005, 15:45
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How many number of times will the digit â€˜7' be written when listing the integers from 1 to 1000?

(1) 271 (2) 273 (3) 252 (4) 304 (5) 300
_________________

"Wow! Brazil is big." â€”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/international/asia/21prexy.html

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Director
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04 Nov 2005, 15:49
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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Success is my only option, failure is not -- Eminem

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VP
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04 Nov 2005, 16:14
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

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Director
Joined: 14 Oct 2003
Posts: 583

Kudos [?]: 57 [0], given: 0

Location: On Vacation at My Crawford, Texas Ranch

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04 Nov 2005, 16:43
Good work - no surprise - OA is 300

Underpants for everyone!
_________________

"Wow! Brazil is big." â€”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/international/asia/21prexy.html

Kudos [?]: 57 [0], given: 0

Director
Joined: 21 Aug 2005
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04 Nov 2005, 16:59
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...)

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Director
Joined: 14 Oct 2003
Posts: 583

Kudos [?]: 57 [0], given: 0

Location: On Vacation at My Crawford, Texas Ranch

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04 Nov 2005, 17:03
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.
_________________

"Wow! Brazil is big." â€”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/international/asia/21prexy.html

Kudos [?]: 57 [0], given: 0

Director
Joined: 21 Aug 2005
Posts: 786

Kudos [?]: 28 [0], given: 0

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04 Nov 2005, 17:10
Titleist wrote:
Your Avatar (or my old avatar) confuses me into thinking, initially, that your posts are my posts.

I will give this dude some rest soon

Kudos [?]: 28 [0], given: 0

Director
Joined: 14 Oct 2003
Posts: 583

Kudos [?]: 57 [0], given: 0

Location: On Vacation at My Crawford, Texas Ranch

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04 Nov 2005, 17:12
gsr wrote:
Titleist wrote:
Your Avatar (or my old avatar) confuses me into thinking, initially, that your posts are my posts.

I will give this dude some rest soon

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

"Wow! Brazil is big." â€”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/international/asia/21prexy.html

Kudos [?]: 57 [0], given: 0

Director
Joined: 21 Aug 2005
Posts: 786

Kudos [?]: 28 [0], given: 0

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04 Nov 2005, 17:17
Titleist wrote:
gsr wrote:
Titleist wrote:
Your Avatar (or my old avatar) confuses me into thinking, initially, that your posts are my posts.

I will give this dude some rest soon

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

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

Kudos [?]: 28 [0], given: 0

VP
Joined: 22 Aug 2005
Posts: 1112

Kudos [?]: 121 [0], given: 0

Location: CA

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04 Nov 2005, 17:18
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.

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Director
Joined: 14 Oct 2003
Posts: 583

Kudos [?]: 57 [0], given: 0

Location: On Vacation at My Crawford, Texas Ranch

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04 Nov 2005, 17:31
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.

I will give this dude some rest soon

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

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

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

"Wow! Brazil is big." â€”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/international/asia/21prexy.html

Kudos [?]: 57 [0], given: 0

04 Nov 2005, 17:31
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