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I am having a hard time with this problem, any tips would

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I am having a hard time with this problem, any tips would [#permalink]

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New post 11 Sep 2008, 16:25
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I am having a hard time with this problem, any tips would help

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

1) c> b

2) a> d


Thanks!

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Manager
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Re: More Inequality PS [#permalink]

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New post 11 Sep 2008, 16:31
is (a/b)(c/d) > c/b ? is equivalent to (c/b)*(a/d) > c/b

so, actually they are asking if a/d>1 ? ( as a,b,c and d are +ve )

1 ) c>b => not sufficient, as a/d can be <1 or >1

2 ) a > d => a/d>1 => sufficient

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Re: More Inequality PS [#permalink]

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New post 11 Sep 2008, 18:23
since all are +ve , it makes things easy and you can simplify by cancelling common terms on either sides.
this can't be done however if the polarity of the no. is unknown.
so in effect, its asking if a>d

stat 2 is outright suff

stat 1 ) we can rearrange as is a/d*c/b>c/b

when can LHS >RHS?
whatever the value of c/b, if a/d=1, then LHS=RHS.
so we have to knw a/d.

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Re: More Inequality PS [#permalink]

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New post 11 Sep 2008, 18:39
IgnitedMind wrote:
I am having a hard time with this problem, any tips would help

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

1) c> b

2) a> d


Thanks!

given: a,b,c,d +ve
Q:a/b *c/d >c/b ?????? or c/b*((a/d)-1)>0
to answer this a>d is requiered

(1)c/b does not help INSUFFI
(2)a>d does help SUFFI

IMO B
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Re: More Inequality PS   [#permalink] 11 Sep 2008, 18:39
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