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# How many times will the digit 7 be written when listing the

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Intern
Joined: 12 Feb 2006
Posts: 28
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How many times will the digit 7 be written when listing the [#permalink]  20 Apr 2006, 18:00
How many times will the digit 7 be written when listing the integers from 1 to 1000?

110
111
271
300
304

VP
Joined: 29 Dec 2005
Posts: 1349
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Re: Number Properties (I think) [#permalink]  20 Apr 2006, 18:20
yach wrote:
How many times will the digit 7 be written when listing the integers from 1 to 1000?

110
111
271
300
304

hundreds = 1x100 = 100
tens = 10 x 10 = 100
uints = 10 x 10 = 100

total = 300
Senior Manager
Joined: 08 Sep 2004
Posts: 258
Location: New York City, USA
Followers: 1

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

300?

from 1 to 100, 7 will be written 20 times.
from 101 to 200, 7 will be written 20 times.
-
-
-
from 701 to 800, 7 will be written 20 times + 100 times (for hundredth digit)
-
-
from 901 to 1000, 7 will be written 20 times.

so 20 * 100 + 100 = 300.
VP
Joined: 07 Nov 2005
Posts: 1132
Location: India
Followers: 3

Kudos [?]: 28 [0], given: 1

vipin7um wrote:
300?

from 1 to 100, 7 will be written 20 times.
from 101 to 200, 7 will be written 20 times.
-
-
-
from 701 to 800, 7 will be written 20 times + 100 times (for hundredth digit)
-
-
from 901 to 1000, 7 will be written 20 times.

so 20 * 100 + 100 = 300.

20*10 I suppose.
Got 300 as well.
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