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

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Math Expert
Joined: 02 Sep 2009
Posts: 56275
If f^2*g < 0, which of the following must be true?  [#permalink]

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14 Aug 2018, 02:37
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15% (low)

Question Stats:

89% (00:31) correct 11% (00:17) wrong based on 31 sessions

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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) $$f^2 < 0$$

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Manager
Joined: 23 May 2017
Posts: 236
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)
If f^2*g < 0, which of the following must be true?  [#permalink]

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14 Aug 2018, 02:45
B.
$$f^2$$ is always positive hence g has to be negative for inequality to hold true
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Director
Joined: 20 Feb 2015
Posts: 790
Concentration: Strategy, General Management
Re: If f^2*g < 0, which of the following must be true?  [#permalink]

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14 Aug 2018, 02:47
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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14 Aug 2018, 02:48
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.

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

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14 Aug 2018, 03:14
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

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Joined: 10 Oct 2017
Posts: 18
Re: If f^2*g < 0, which of the following must be true?  [#permalink]

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14 Aug 2018, 04:29
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
Re: If f^2*g < 0, which of the following must be true?   [#permalink] 14 Aug 2018, 04:29
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