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# If x = a/3 + b/3^2 + c/3^3, where a, b, and c are each equal to 0 or 1

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Math Expert
Joined: 02 Sep 2009
Posts: 52161
If x = a/3 + b/3^2 + c/3^3, where a, b, and c are each equal to 0 or 1  [#permalink]

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28 Jul 2016, 04:29
00:00

Difficulty:

15% (low)

Question Stats:

83% (01:27) correct 17% (02:07) wrong based on 71 sessions

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If $$x = \frac{a}{3} + \frac{b}{3^2} + \frac{c}{3^3}$$, where a, b, and c are each equal to 0 or 1, then x could be each of the following EXCEPT:

A. 1/27

B. 1/9

C. 4/27

D. 2/9

E. 4/9

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Re: If x = a/3 + b/3^2 + c/3^3, where a, b, and c are each equal to 0 or 1  [#permalink]

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28 Jul 2016, 04:53
x = a/3 + b/3^2 + c/3^3
= a/3 + b/9 + c/27
= (9a + 3b + c ) /27

Depending on whether a, b and c take 0 or 1 , the numerator can take 1 , 3 , 4 and 12
3/27 = 1/9
12/27 = 4/9
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Re: If x = a/3 + b/3^2 + c/3^3, where a, b, and c are each equal to 0 or 1  [#permalink]

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27 Dec 2018, 17:13
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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If x = a/3 + b/3^2 + c/3^3, where a, b, and c are each equal to 0 or 1 &nbs [#permalink] 27 Dec 2018, 17:13
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