Inequalities 2

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Source: — Data Sufficiency |

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by liferocks » Thu Jun 03, 2010 7:41 am
question is
(a/b) (c/d) > c/b
or (c/b)(a/d -1) >0

now c/b >0..so we need to know whether a/d >1 or a>d

from 1 we cannot say a>d...not sufficient
From 2 a>d ..sufficient

Ans option B
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by Osirus@VeritasPrep » Thu Jun 03, 2010 7:48 am
First manipulate the stimulus. Subtract (c/b) from both sides.

(a/b) (c/d) - (c/b) > 0

this results in

(ac/bd) - (c/b) > 0

(ac - cd)/(bd) >0

Factor out a "c" in the numerator of the expression

c (a - d) / bd > 0

Since all of the variables are positive, you really only need to determine if a is larger than d. Statement 2 gives you this information, so choose B
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by tryingtocrack » Thu Jun 03, 2010 9:18 am
@liferocks

very well explanied . I solved by plugging numbers but your approach is much faster and safe