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Given that ab< 0 and a > b, which of the following must be true?

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Given that ab< 0 and a > b, which of the following must be true?  [#permalink]

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New post 19 Aug 2017, 00:20
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

73% (00:57) correct 27% (01:11) wrong based on 85 sessions

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Given that \(ab< 0\) and \(a > b\), which of the following must be true?

I. \(a>0\)

II. \(b>0\)

III. \(\frac{1}{a} > \frac{1}{b}\)

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

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Given that ab< 0 and a > b, which of the following must be true?  [#permalink]

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New post 19 Aug 2017, 03:36
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susheelh wrote:
Given that \(ab< 0\) and \(a > b\), which of the following must be true?

I. \(a>0\)

II. \(b>0\)

III. \(\frac{1}{a} > \frac{1}{b}\)

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


\(ab< 0\) means that a and b have different signs. Since also given that a > b, then a > 0 > b (a and b have different signs).

So, I is true and II is not.

Next, 1/a = 1/(positive) = (positive) and 1/b = 1/(negative) = (negative), thus 1/a > 1/b. III is true too.

Answer: C.

Hope it's clear.
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Given that ab< 0 and a > b, which of the following must be true?   [#permalink] 19 Aug 2017, 03:36
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Given that ab< 0 and a > b, which of the following must be true?

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