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# If a, b, c, and d are positive integers, is (a/b) (c/d) >

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Manager
Joined: 06 Apr 2010
Posts: 141
Followers: 3

Kudos [?]: 379 [0], given: 15

If a, b, c, and d are positive integers, is (a/b) (c/d) > [#permalink]  28 Aug 2010, 02:04
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60% (01:29) correct 40% (02:04) wrong based on 5 sessions
If a, b, c, and d are positive integers, is (a/b) (c/d) > c/b?
(1) c > b
(2) a > d
[Reveal] Spoiler: OA
Manager
Joined: 09 Jun 2010
Posts: 116
Followers: 2

Kudos [?]: 78 [0], given: 1

Re: Inequality [#permalink]  28 Aug 2010, 05:03
is (a/b) (c/d) > c/b ? simplify => a/d>1? => is a>d?

(2) a > d

"B" it is
Senior Manager
Joined: 14 Jun 2010
Posts: 333
Followers: 2

Kudos [?]: 19 [0], given: 7

Re: Inequality [#permalink]  28 Aug 2010, 21:38
Got trapped...Good one Soumanag!!
Manager
Joined: 16 Feb 2010
Posts: 224
Followers: 2

Kudos [?]: 186 [0], given: 16

Re: Inequality [#permalink]  29 Aug 2010, 17:25
udaymathapati wrote:
If a, b, c, and d are positive integers, is (a/b) (c/d) > c/b?
(1) c > b
(2) a > d

$$\frac{a}{b}*\frac{c}{d}>\frac{c}{b}$$

simplify

$$\frac{a}{d}>1$$

$$a>d$$ ?

therefore B is enough, A is irrelevant
SVP
Joined: 05 Jul 2006
Posts: 1513
Followers: 5

Kudos [?]: 179 [0], given: 39

Re: Inequality [#permalink]  30 Aug 2010, 02:59
The key here is in the given ( a,b,c,d) are +ve if this wasn't stated then we can't multiply or simplify
Manager
Joined: 07 Feb 2010
Posts: 159
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Kudos [?]: 339 [0], given: 101

Re: Inequality [#permalink]  30 Aug 2010, 07:06
If a, b, c, and d are positive integers, is (a/b) (c/d) > c/b?
(1) c > b
(2) a > d

change the question it becomes a > d
Re: Inequality   [#permalink] 30 Aug 2010, 07:06
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