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

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Manager
Joined: 16 Mar 2010
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Kudos [?]: 74 [0], given: 9

If a,b,c and d are positive integers, is (a/b) (c/d) > [#permalink]  01 Aug 2010, 21:11
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87% (01:30) correct 13% (00:00) wrong based on 23 sessions
If a,b,c and d are positive integers, is (a/b) (c/d) > c/b?

A. c>b
B. a>d

Can someone explain?? OA is B
[Reveal] Spoiler: OA
Manager
Joined: 16 Apr 2010
Posts: 222
Followers: 3

Kudos [?]: 66 [0], given: 12

Re: a,b,c and d inequality [#permalink]  01 Aug 2010, 23:01
Hi,

What is the operation between (a/b) and (c/d) in (a/b) (c/d) > c/b?

regards,
Jack
Intern
Joined: 06 Apr 2010
Posts: 23
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Kudos [?]: 1 [0], given: 6

Re: a,b,c and d inequality [#permalink]  01 Aug 2010, 23:34
Stmt 2 is sufficient as follows:

LHS and RHS can be rearranged into (a/d)(c/b) > (c/b)
As c and b are both positive (you don't need Stmt 1 for that), they can be cancelled out from both sides - which leaves us with a/d > 1 ??

Stmt 2 says exactly that. Hence sufficient.

Hope this helps.
Intern
Joined: 03 Mar 2010
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Kudos [?]: 12 [1] , given: 1

Re: a,b,c and d inequality [#permalink]  02 Aug 2010, 00:51
1
KUDOS
$$(\frac{a}{b})(\frac{c}{d})=(\frac{a}{d})(\frac{c}{b})>(\frac{c}{b})$$
Since a, b, c, d are positive, so both sides can be divided by $$(\frac{c}{b})$$
$$\frac{(\frac{a}{d})(\frac{c}{b})}{(\frac{c}{b})}>\frac{(\frac{c}{b})}{(\frac{c}{b})}$$
or
$$\frac{a}{d}>1$$
or a>d

_________________

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Intern
Joined: 10 Apr 2008
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Kudos [?]: 3 [0], given: 4

Re: a,b,c and d inequality [#permalink]  02 Aug 2010, 19:47
According to stmt2 (a/b) > 1.

So, a number greater than 1 multiplied with (c/b) will be greater than (c/b)
Re: a,b,c and d inequality   [#permalink] 02 Aug 2010, 19:47
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# If a,b,c and d are positive integers, is (a/b) (c/d) >

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