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# a = c = 3b

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Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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a = c = 3b [#permalink]  23 Jun 2018, 12:30
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Question Stats:

48% (00:32) correct 51% (00:48) wrong based on 33 sessions
$$a = \frac{b}{2}$$
$$c = 3b$$

 Quantity A Quantity B a c

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Sandy
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Intern
Joined: 22 May 2018
Posts: 2
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Kudos [?]: 2 [1] , given: 0

Re: a = c = 3b [#permalink]  24 Jun 2018, 05:07
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a=b/2 and b=c/3
from here we get the ration a:b:c as 1:2:6 but we do not know the sign {+ or -} of a,b and c therefore the
answer is D cannot be determined
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

Kudos [?]: 1742 [0], given: 397

Re: a = c = 3b [#permalink]  18 Jul 2018, 07:38
Expert's post
Explanation

To compare a and c, put c in terms of a. Multiply the first equation by 2 to find that b = 2a.

Substitute into the second equation: c = 3b = 3(2a) = 6a. If all three variables are positive, then 6a > a.

If all three variables are negative, then a > 6a. Finally, all three variables could equal zero, making the two quantities equal.
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Sandy
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Re: a = c = 3b   [#permalink] 18 Jul 2018, 07:38
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