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# If a < b < c < 0, which of the following quotients is the greatest?

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Math Expert
Joined: 02 Sep 2009
Posts: 58446
If a < b < c < 0, which of the following quotients is the greatest?  [#permalink]

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14 Jan 2019, 02:27
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Difficulty:

15% (low)

Question Stats:

76% (00:58) correct 24% (01:16) wrong based on 82 sessions

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If a < b < c < 0, which of the following quotients is the greatest?

A. a/b
B. b/c
C. c/a
D. a/c
E. It cannot be determined with the information given.

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Joined: 28 Jun 2018
Posts: 73
Re: If a < b < c < 0, which of the following quotients is the greatest?  [#permalink]

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14 Jan 2019, 02:45
According to me, the answer should be C.

To get the biggest quotient, I would want the biggest number as the numerator and the smallest number as the denominator. In this case, I don't put 0 because cancelling two negatives > bigger than 0. Hence, c/a.
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If a < b < c < 0, which of the following quotients is the greatest?  [#permalink]

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14 Jan 2019, 02:55
IMO D...since they are all negative C will have greatest absolute value and a will have smallest absolute value and a/c should have maximum quotient.

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Concentration: Sustainability, Marketing
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If a < b < c < 0, which of the following quotients is the greatest?  [#permalink]

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Updated on: 14 Jan 2019, 03:40
Bunuel wrote:
If a < b < c < 0, which of the following quotients is the greatest?

A. a/b
B. b/c
C. c/a
D. a/c
E. It cannot be determined with the information given.

a=1/2
b=1/3
c=1/6

in that case IMO D is correct..

Originally posted by Archit3110 on 14 Jan 2019, 03:19.
Last edited by Archit3110 on 14 Jan 2019, 03:40, edited 1 time in total.
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Joined: 12 Apr 2017
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Re: If a < b < c < 0, which of the following quotients is the greatest?  [#permalink]

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14 Jan 2019, 03:26
Answer should be C. By general logic of fraction

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Re: If a < b < c < 0, which of the following quotients is the greatest?   [#permalink] 14 Jan 2019, 03:26
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