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If a/b<c/d & bd < 0, which of the following inequalities must be true?

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Director
Joined: 25 Dec 2018
Posts: 620
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
GPA: 3.4
WE: Engineering (Consulting)
If a/b<c/d & bd < 0, which of the following inequalities must be true?  [#permalink]

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25 Apr 2019, 09:13
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Difficulty:

75% (hard)

Question Stats:

46% (01:58) correct 54% (01:52) wrong based on 50 sessions

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If a/b<c/d & bd < 0, which of the following inequalities must be true?

A. I only
B. II only
C. III only
D. I and II
E. II and III
Math Expert
Joined: 02 Aug 2009
Posts: 8586
Re: If a/b<c/d & bd < 0, which of the following inequalities must be true?  [#permalink]

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25 Apr 2019, 21:42
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mangamma wrote:
If a/b<c/d & bd < 0, which of the following inequalities must be true?

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

$$\frac{a}{b}<\frac{c}{d}$$
Since bd < 0,, we can multiply the inequality by bd and change the inequality sign..
$$bd*\frac{a}{b}>bd*\frac{c}{d}......ad>bc...ad-bc>0$$

Option III is exactly the same, so correct..

let us see the other options..

C
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Re: If a/b<c/d & bd < 0, which of the following inequalities must be true?   [#permalink] 25 Apr 2019, 21:42