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What is the sum of all digits for the number 10^30 - 37

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Joined: 25 Dec 2012
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Kudos [?]: 2 [0], given: 10

What is the sum of all digits for the number 10^30 - 37 [#permalink] New post 11 Feb 2013, 09:01
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

61% (02:25) correct 38% (01:36) wrong based on 36 sessions
What is the sum of all digits for the number 10^30 - 37 ?

A. 63
B. 252
C. 261
D. 270
E. 337

Edit: Sorry, I meant to have this in the PS sub-forum.
[Reveal] Spoiler: OA

Last edited by Bunuel on 11 Feb 2013, 09:05, edited 1 time in total.
Moved to PS forum.
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Re: What is the sum of all digits for the number 10^30 - 37 [#permalink] New post 11 Feb 2013, 09:15
Expert's post
exploringm wrote:
What is the sum of all digits for the number 10^30 - 37 ?

A. 63
B. 252
C. 261
D. 270
E. 337

Edit: Sorry, I meant to have this in the PS sub-forum.


10^30 is a 31-digit number: 1 followed by 30 zeros.

10^30 - 37 is a 30-digit number: 28 9's and 63 in the end. Thus the sum of the digits is 28*9+6+3=261.

Answer: C.

Similar question to practice:
10-25-560-is-divisible-by-all-of-the-following-except-126300.html

Hope it helps.
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Re: What is the sum of all digits for the number 10^30 - 37   [#permalink] 11 Feb 2013, 09:15
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What is the sum of all digits for the number 10^30 - 37

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