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If c≠0 and (a*b)/c < 0, is a/c < 0

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If c≠0 and (a*b)/c < 0, is a/c < 0  [#permalink]

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New post Updated on: 11 Aug 2015, 02:26
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If c ≠ 0 and \(\frac{(a*b)}{c}<0\), is \(\frac{a}{c}<0\) ?

(1) a < 0

(2) b < 0

Originally posted by Mascarfi on 10 Aug 2015, 17:58.
Last edited by Bunuel on 11 Aug 2015, 02:26, edited 1 time in total.
Renamed the topic and edited the question.
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Re: If c≠0 and (a*b)/c < 0, is a/c < 0  [#permalink]

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New post 10 Aug 2015, 18:15
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Mascarfi wrote:
If c≠0 and \(\frac{(a*b)}{c}\)<0, is \(\frac{a}{c}\)<0 ?

(1) a<0

(2) b<0



\(\frac{ab}{c} < 0\) ---> 2 cases possible:

1. Either a/c < 0 and b>0 or
2. a/c>0 ad b<0

Per statement 1, a<0 ---> clearly not sufficient.

Per statement 2, b<0---> this eliminates case (1) mentioned above leaving just 1 possible case and is thus sufficient.

B is the correct answer.
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Re: If c≠0 and (a*b)/c < 0, is a/c < 0  [#permalink]

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New post 11 Aug 2015, 03:03
1
Mascarfi wrote:
If c ≠ 0 and \(\frac{(a*b)}{c}<0\), is \(\frac{a}{c}<0\) ?

(1) a < 0

(2) b < 0


Given: \(\frac{(a*b)}{c}<0\)

Is \(\frac{a}{c}<0\), to rephrase the qn, is b>0?

St 1: a < 0. No info about b. Not Sufficient.

St 2: b < 0, which implies that \(\frac{a}{c}>0\). The answer is No. Sufficient.

Option B


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Re: If c≠0 and (a*b)/c < 0, is a/c < 0  [#permalink]

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New post 11 Aug 2015, 23:37
Mascarfi wrote:
If c ≠ 0 and \(\frac{(a*b)}{c}<0\), is \(\frac{a}{c}<0\) ?

(1) a < 0

(2) b < 0


Ans: B

solution: we have (a*b)/c < 0 ; is a/c<0 means we need to find that a and c have different signs.
from the given statement we know that either one or all of them are<0 only then (a*b)/c < 0 will be true.

1) a<0, but it does not say anything about b and c,
so what if b and c both <0 ; (a*b)/c < 0 true and a/c>0
what if b and c both >0 ; (a*b)/c < 0 true, and a/c<0
[Insufficient]


2) b<0, no information is given about a and c.
so (a*b)/c < 0 to be true either a and c must have the same sign.
and in both the cases a/c>0
[Sufficient]
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Re: If c≠0 and (a*b)/c < 0, is a/c < 0  [#permalink]

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New post 04 Dec 2016, 00:09
Not taken much time to solve this question,
Option 1: If a<0, No information about b and c values. Hence, a/c value can not be determined. Insufficient.
Option 2: If b<0,
To comply the original question, (a∗b)/c<0. The ratio a/c must have to be positive. Hence sufficient.
B is the correct answer.
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Re: If c≠0 and (a*b)/c < 0, is a/c < 0  [#permalink]

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New post 22 Apr 2018, 18:13
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Re: If c≠0 and (a*b)/c < 0, is a/c < 0 &nbs [#permalink] 22 Apr 2018, 18:13
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