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

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Intern
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How many times will the digit 7 be written when listing the [#permalink] New post 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

PLEASE EXPLAIN, Thanks.
VP
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Re: Number Properties (I think) [#permalink] New post 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

PLEASE EXPLAIN, Thanks.


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

total = 300
Senior Manager
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 [#permalink] New post 20 Apr 2006, 18:37
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
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 [#permalink] New post 20 Apr 2006, 18:57
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.
  [#permalink] 20 Apr 2006, 18:57
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