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# How many 3-digit positive integers can be represented as the sum of ex

Author Message
Intern
Joined: 19 Jun 2017
Posts: 33
Location: Armenia
Concentration: Entrepreneurship, Economics
GMAT 1: 760 Q51 V46
GPA: 4
How many 3-digit positive integers can be represented as the sum of ex  [#permalink]

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08 Jan 2018, 08:57
1
00:00

Difficulty:

(N/A)

Question Stats:

67% (01:29) correct 33% (02:47) wrong based on 3 sessions

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How many 3-digit positive integers can be represented as the sum of exactly nine different powers of 2?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

please, give kudos, if you liked the question

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Manager
Joined: 17 Mar 2015
Posts: 86
Re: How many 3-digit positive integers can be represented as the sum of ex  [#permalink]

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08 Jan 2018, 09:08
AniK97 wrote:
How many 3-digit positive integers can be represented as the sum of exactly nine different powers of 2?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

please, give kudos, if you liked the question

OA: E.

511=2^8+2^7+2^6+2^5+2^4+2^3+2^2+2^1+2^0

767=2^9+2^7+2^6+2^5+2^4+2^3+2^2+2^1+2^0

895=2^9+2^8+2^6+2^5+2^4+2^3+2^2+2^1+2^0

959=2^9+2^8+2^7+2^5+2^4+2^3+2^2+2^1+2^0

991=2^9+2^8+2^7+2^6+2^4+2^3+2^2+2^1+2^0

--== 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.
Re: How many 3-digit positive integers can be represented as the sum of ex &nbs [#permalink] 08 Jan 2018, 09:08
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