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# If a^3b^4c^7 > 0. Which of the following statements must be true?

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Math Expert
Joined: 02 Sep 2009
Posts: 55614
If a^3b^4c^7 > 0. Which of the following statements must be true?  [#permalink]

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23 May 2019, 01:44
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Difficulty:

35% (medium)

Question Stats:

67% (00:57) correct 33% (01:23) wrong based on 24 sessions

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If $$a^3b^4c^7>0$$. Which of the following statements must be true?

I. $$ab$$ is negative

II. $$abc$$ is positive

III. $$ac$$ is positive

A. I only
B. II only
C. III only
D. I and III only
E. I, II and III

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Re: If a^3b^4c^7 > 0. Which of the following statements must be true?  [#permalink]

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23 May 2019, 01:56
Bunuel wrote:
If $$a^3b^4c^7>0$$. Which of the following statements must be true?

I. $$ab$$ is negative

II. $$abc$$ is positive

III. $$ac$$ is positive

A. I only
B. II only
C. III only
D. I and III only
E. I, II and III

From the given, ac>0

I. We don't know anything about b.

II. ac>0 but b can be anything +ve/-ve

III ac>0, definitely true.

C is the answer.
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Re: If a^3b^4c^7 > 0. Which of the following statements must be true?  [#permalink]

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23 May 2019, 10:06
Bunuel wrote:
If $$a^3b^4c^7>0$$. Which of the following statements must be true?

I. $$ab$$ is negative

II. $$abc$$ is positive

III. $$ac$$ is positive

A. I only
B. II only
C. III only
D. I and III only
E. I, II and III

only option III is logically correct , rest others we get both yes & no
IMO C
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Re: If a^3b^4c^7 > 0. Which of the following statements must be true?   [#permalink] 23 May 2019, 10:06
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# If a^3b^4c^7 > 0. Which of the following statements must be true?

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