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# What is the sum of the digits in 10^89 - 33?

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What is the sum of the digits in 10^89 - 33?  [#permalink]

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01 Jul 2017, 10:28
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What is the sum of the digits in $$10^{89} - 33$$?

A. 783
B. 804
C. 796
D. 824
E. 788

Kudos for correct and solution.

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What is the sum of the digits in 10^89 - 33?  [#permalink]

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01 Jul 2017, 10:38
ydmuley wrote:
What is the sum of the digits in $$10^{89} - 33$$?

A. 783
B. 804
C. 796
D. 824
E. 788

Kudos for correct and solution.

$$10^2 - 33 = 100 - 33 = 67$$

Sum of digits of $$67 = 6 + 7 = 13 => 1 + 3 = 4$$

$$10^3 - 33 = 1000 - 33 = 967$$

Sum of digits of $$967 = 9 + 6 + 7 = 22 => 2 + 2 = 4$$

This pattern continues.

Therefore the option which has sum of digits as $$4$$ will be the answer.

A. $$783 = 7 + 8 + 3 = 18 => 1 + 8 = 9$$

B. $$804 = 8 + 0 + 4 = 12 => 1+ 2 = 3$$

C. $$796 = 7 + 9 + 6 = 22 => 2 + 2 = 4$$ -------- Sum of digits is $$4$$.

D. $$824 = 8 + 2 + 4 = 14 => 1 + 4 = 5$$

E. $$788 = 7 + 8 + 8 = 23 => 2 + 3 = 5$$

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
What is the sum of the digits in 10^89 - 33?   [#permalink] 01 Jul 2017, 10:38
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