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

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New post 08 Jan 2018, 08:57
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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:
[Reveal] Spoiler: OA
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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, 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

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

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