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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
2
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A
B
C
D
E

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Question Stats:

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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
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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
7
\((\frac{a}{b})(\frac{c}{d})=(\frac{a}{d})(\frac{c}{b})>(\frac{c}{b})\)
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
1
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, 06:03
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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 29 Aug 2010, 18:25
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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
1
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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If a,b,c and d are positive integers, is (a/b) (c/d) >  [#permalink]

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New post 18 Jul 2016, 00:53
1
jakolik wrote:
If a,b,c and d are positive integers, is (a/b)(c/d) > c/b?

(1) c>b
(2) a>d


Given that a,b,c,d, are all positives; so we can take a deep breath of relief and carry on with this question because now we can apply any operation on the inequality without worrying about the sign reversal and other such restrictions
(1) c>b
(2) a>d

Simplify the original equation and see what the question stem reduces to :-
\(\frac{a}{b} * \frac{c}{d} >\frac{c}{b}\)

\(\frac{ac}{bd}>\frac{c}{d}\) {\(\frac{c}{b}\)will get cancelled on both the LHS & RHS}

\(\frac{a}{d}>1\)

\(a>d\)


SO THE REAL QUESTION IS :- IS \(a>d\)

(1) c>b
Doesn't tell about a and b ; INSUFFICIENT

(2) a>d
Tells us that a is always greater than d
SUFFICIENT

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 27 Feb 2019, 09:58
Can someone pls explain me , how does

(a/b)(c/d) > c/b
become
a/d>1 ?
i know that its simplification, but i just cant get it
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Re: If a,b,c and d are positive integers, is (a/b) (c/d) >   [#permalink] 27 Feb 2019, 09:58
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