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# m01 Q10 (is official answer correct?)

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Manager
Joined: 28 Jul 2009
Posts: 119
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m01 Q10 (is official answer correct?) [#permalink]

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31 Aug 2009, 01:14
Hi, I just answered m01 and I'm not sure the official answer to q10 is correct.
Q: How many times will the digit 7 be written when listing the integers 1 to 1000?
OA: 300
My calculation: 280

But when I did the calculations, I came up with:
1-10: 7 (1 no.)
11-99: 17,27,37,...97 (9 nos.)
70,71,72,...79 (10 nos.)
100-199: 107,117,127,...197 (10 nos.)
170,171,172,...190 (10 nos.)
So for 100-199, 200-299, 300-399,...900-900 EXCEPT 700-799, there are 8*20 sevens = 160
For 700-799, 100 nos.
So, in total that's 160+100+10+9+1=280.

I think the official answer double-counted the 20 nos. in 100-999, it included 20 nos. in 700 but still added a full 100 nos. in 700-799.

Do correct me if I'm wrong please.
CIO
Joined: 02 Oct 2007
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Followers: 95

Kudos [?]: 891 [0], given: 334

Re: m01 Q10 (is official answer correct?) [#permalink]

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31 Aug 2009, 02:32
Hi vanilla,

We strongly recommend to search for the questions that have already been discussed on the forums. Please read my signature and the visit the links in there too. This question have been discussed already. Please see this link:

m01-70917.html

You can find the list of questions and links to their discussions in this thread:

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Re: m01 Q10 (is official answer correct?)   [#permalink] 31 Aug 2009, 02:32
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# m01 Q10 (is official answer correct?)

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