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a = c = 3b

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a = c = 3b [#permalink] New post 23 Jun 2018, 12:30
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Question Stats:

48% (00:33) correct 51% (00:50) wrong based on 31 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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Re: a = c = 3b [#permalink] New post 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
GMAT Club Legend
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Joined: 07 Jun 2014
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Re: a = c = 3b [#permalink] New post 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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Re: a = c = 3b   [#permalink] 18 Jul 2018, 07:38
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