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If f^2*g < 0, which of the following must be true?

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V
Joined: 02 Sep 2009
Posts: 51121
If f^2*g < 0, which of the following must be true?  [#permalink]

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New post 14 Aug 2018, 01:37
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

93% (00:26) correct 7% (00:12) wrong based on 27 sessions

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Joined: 23 May 2017
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Concentration: Finance, Accounting
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If f^2*g < 0, which of the following must be true?  [#permalink]

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New post 14 Aug 2018, 01:45
B.
\(f^2\) is always positive hence g has to be negative for inequality to hold true
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Re: If f^2*g < 0, which of the following must be true?  [#permalink]

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New post 14 Aug 2018, 01:47
Bunuel wrote:
If \(f^2 g < 0\), which of the following must be true?


(A) \(f < 0\)

(B) \(g < 0\)

(C) \(fg < 0\)

(D) \(fg > 0\)

(E) \(f^2 < 0\)


f^2 will always be +ve

for f^2 g < 0
g must be < 0

so B
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Re: If f^2*g < 0, which of the following must be true?  [#permalink]

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New post 14 Aug 2018, 01:48
Bunuel wrote:
If \(f^2 g < 0\), which of the following must be true?


(A) \(f < 0\)

(B) \(g < 0\)

(C) \(fg < 0\)

(D) \(fg > 0\)

(E) \(f^2 < 0\)



Given

\(f^2 g < 0\)

As \(f^2\) can never be negative , g must be negative.

The best answer is B.
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Re: If f^2*g < 0, which of the following must be true?  [#permalink]

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New post 14 Aug 2018, 02:14
Bunuel wrote:
If \(f^2 g < 0\), which of the following must be true?


(A) \(f < 0\)

(B) \(g < 0\)

(C) \(fg < 0\)

(D) \(fg > 0\)

(E) \(f^2 < 0\)


\(f^2 g < 0\)
\(f^2\) is always +ve.
Hence g<0

Answer B
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Re: If f^2*g < 0, which of the following must be true?  [#permalink]

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New post 14 Aug 2018, 03:29
Bunuel wrote:
If \(f^2 g < 0\), which of the following must be true?


(A) \(f < 0\)

(B) \(g < 0\)

(C) \(fg < 0\)

(D) \(fg > 0\)

(E) \(f^2 < 0\)



B, since f^2 will always be positive
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Re: If f^2*g < 0, which of the following must be true? &nbs [#permalink] 14 Aug 2018, 03:29
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If f^2*g < 0, which of the following must be true?

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