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

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Intern
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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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New post 08 Jan 2018, 09:57
1
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A
B
C
D
E

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

Source: Kangaroo Olympiad

please, give kudos, if you liked the question :grin: :angel:

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

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Re: How many 3-digit positive integers can be represented as the sum of ex  [#permalink]

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New post 08 Jan 2018, 10:08
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

Source: Kangaroo Olympiad

please, give kudos, if you liked the question :grin: :angel:


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


Please give Kudos!!!!! for correct answer

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

This is not a quality discussion. 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, 10:08
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