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

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

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New post 02 Aug 2010, 00:01
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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
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Re: If a,b,c and d are positive integers, is (a/b) (c/d) > [#permalink]

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New post 02 Aug 2010, 01:51
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\((\frac{a}{b})(\frac{c}{d})=(\frac{a}{d})(\frac{c}{b})>(\frac{c}{b})\)
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

Answer is B.
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Re: If a,b,c and d are positive integers, is (a/b) (c/d) > [#permalink]

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New post 02 Aug 2010, 00:34
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.
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Re: If a,b,c and d are positive integers, is (a/b) (c/d) > [#permalink]

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New post 02 Aug 2010, 20:47
According to stmt2 (a/b) > 1.

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

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New post 28 Aug 2010, 03:04
If a, b, c, and d are positive integers, is (a/b) (c/d) > c/b?
(1) c > b
(2) a > d
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Re: If a,b,c and d are positive integers, is (a/b) (c/d) > [#permalink]

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New post 28 Aug 2010, 06:03
is (a/b) (c/d) > c/b ? simplify => a/d>1? => is a>d?

(2) a > d

"B" it is
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Re: If a,b,c and d are positive integers, is (a/b) (c/d) > [#permalink]

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New post 28 Aug 2010, 22:38
Got trapped...Good one Soumanag!!
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Re: If a,b,c and d are positive integers, is (a/b) (c/d) > [#permalink]

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New post 29 Aug 2010, 18:25
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
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Re: If a,b,c and d are positive integers, is (a/b) (c/d) > [#permalink]

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New post 30 Aug 2010, 03:59
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
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Re: If a,b,c and d are positive integers, is (a/b) (c/d) > [#permalink]

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New post 30 Aug 2010, 08:06
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
so answer is b
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Re: If a,b,c and d are positive integers, is (a/b) (c/d) > [#permalink]

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New post 04 May 2016, 14:42
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Re: If a,b,c and d are positive integers, is (a/b) (c/d) >   [#permalink] 04 May 2016, 14:42
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