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How many keystrokes are needed to type numbers from 1 to 1000?

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How many keystrokes are needed to type numbers from 1 to 1000?  [#permalink]

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New post 14 Mar 2016, 06:42
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

53% (01:46) correct 47% (01:44) wrong based on 250 sessions

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CEO
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Re: How many keystrokes are needed to type numbers from 1 to 1000?  [#permalink]

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New post 14 Mar 2016, 06:52
1
Bunuel wrote:
How many keystrokes are needed to type numbers from 1 to 1000?

A. 2704
B. 2890
C. 2893
D. 3001
E. None of these


1-9
9 digits

10-99
There are 90 2-digit numbers
(90)(2) = 180 digits

100-999
There are 900 3-digit numbers
(900)(3) = 2700 digits


1000
4 digits


9 + 180 + 2700 + 4 = 2893
Answer: C
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Re: How many keystrokes are needed to type numbers from 1 to 1000?  [#permalink]

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New post 26 Oct 2017, 14:25
1
Bunuel wrote:
How many keystrokes are needed to type numbers from 1 to 1000?

A. 2704
B. 2890
C. 2893
D. 3001
E. None of these


Each single-digit number requires 1 keystroke, so for all 9 single-digit numbers, it takes 9 total keystrokes. There are 90 double-digit numbers, each requiring 2 keystrokes, so it takes 2(90) = 180 keystrokes. For the 900 three-digit numbers, it takes 3(900) = 2,700 keystrokes, and finally, we need 4 keystrokes for 1,000. So, the total is:

9 + 180 + 2700 + 4 = 2,893

Answer: C
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Re: How many keystrokes are needed to type numbers from 1 to 1000?  [#permalink]

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New post 26 Oct 2017, 21:11
it should be 9+90*2+900*3+1*4
so answer should be 2893
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Re: How many keystrokes are needed to type numbers from 1 to 1000?  [#permalink]

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New post 04 Jan 2018, 00:04
I accidentally count 0, so I picked E.
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Re: How many keystrokes are needed to type numbers from 1 to 1000? &nbs [#permalink] 04 Jan 2018, 00:04
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