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

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Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 10 [0], given: 0

How many number of times will the digit 7' be written when [#permalink]  04 Nov 2005, 14:45
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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/inter ... prexy.html

Director
Joined: 24 Oct 2005
Posts: 575
Location: NYC
Followers: 1

Kudos [?]: 26 [0], given: 0

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
_________________

Success is my only option, failure is not -- Eminem

VP
Joined: 22 Aug 2005
Posts: 1120
Location: CA
Followers: 1

Kudos [?]: 47 [0], given: 0

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
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 10 [0], given: 0

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/inter ... prexy.html

Director
Joined: 21 Aug 2005
Posts: 793
Followers: 2

Kudos [?]: 10 [0], given: 0

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
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 10 [0], given: 0

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/inter ... prexy.html

Director
Joined: 21 Aug 2005
Posts: 793
Followers: 2

Kudos [?]: 10 [0], given: 0

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
Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 10 [0], given: 0

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/inter ... prexy.html

Director
Joined: 21 Aug 2005
Posts: 793
Followers: 2

Kudos [?]: 10 [0], given: 0

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
VP
Joined: 22 Aug 2005
Posts: 1120
Location: CA
Followers: 1

Kudos [?]: 47 [0], given: 0

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
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 10 [0], given: 0

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/inter ... prexy.html

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