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

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Manager
Joined: 12 Jun 2016
Posts: 221
Location: India
WE: Sales (Telecommunications)
Given that ab< 0 and a > b, which of the following must be true? [#permalink]

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19 Aug 2017, 00:20
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15% (low)

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71% (00:42) correct 29% (00:40) wrong based on 69 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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Joined: 02 Sep 2009
Posts: 46167
Given that ab< 0 and a > b, which of the following must be true? [#permalink]

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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.

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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