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# m01 Q10 (is official answer correct?)

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Manager
Joined: 28 Jul 2009
Posts: 118

Kudos [?]: 9 [0], given: 2

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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.

Kudos [?]: 9 [0], given: 2

CIO
Joined: 02 Oct 2007
Posts: 1216

Kudos [?]: 989 [0], given: 334

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31 Aug 2009, 02:32
Hi vanilla,

m01-70917.html

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

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Kudos [?]: 989 [0], given: 334

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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